fractions Crossword Puzzles

Across

4. The __________ property states the result of two numbers being added or multiplied will always be the same, no matter what parentheses they are in.
11. The number of times a given factor appears in the factored form of the equation of a polynomial.
13. _____ ____ polynomials have more factors then a normal quadratic polynomial.
16. A type of function in which the independent variable, x, is the exponent of a number.
18. The ______ coefficient is the highest value coefficient within the polynomial.
19. The shape of the graph when the slope is increasing.
22. 'I' stands for an _______ number, also knsquare root squareroot of negative one.
23. An equation in which the degree is 2.
26. Numbers that are expressed in the form of a+ib where, a & b are real numbers and 'i' is an imaginary number.
28. The only number that is neither negative nor positive, showing that no objects are present when used.
30. A polynomial _______ involves positive integer exponents of a variable
31. The ___ _______ describes the trend at the left and right ends of the X-axis on a graph.
33. A number a function approaches which it can never pass.
34. The ____ of a number in math is a number that when multiplied by itself produces the original number
35. If the value of Y is becoming increasingly negative for part of a graph, the interval is ___.
36. A point at which two lines cross.
37. The ___ root of any number is the number which on taking to the power of n results in the original number.

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1. The shape of the graph when the slope is decreasing.
2. The __________ property states that numbers within parentheses may be multiplied by a number outside before being added together.
3. If the value of Y is becoming increasingly positive for part of a graph, the interval is ___.
5. A fourth of a coordinate plane, in which all X and Y values must have the same individual sign within that designation.
6. An expression made of variables, coefficients, and exponents.
7. An expression made of three terms.
8. The minimum or maximum point of a function.
9. The highest value exponent of a polynomial is called the ___.
10. The lowest possible value of a function
12. ____ numbers include both rational and irrational numbers, but not imaginary ones.
14. In a rational _______ is a fraction in which both the numerator and denominator are polynomials.
15. To find the GCF of numbers in a function and separate as many terms as possible.
17. A method for modeling the relationship between two scalar values: X and Y.
20. The __________ property states the result of two numbers being added or multiplied will always be the same, no matter what order they are in.
21. The highest possible value of a function
24. The number with an equal real part and an imaginary part equal in magnitude but opposite in sign to a complex number.
25. The ________ _______ of Algebra states that a polynomial with degree n and complex number coefficients will have n solutions in the complex numbers.
27. A type of expression with only two terms.
29. _______ exponents are are exponents that are fractions, where the numerator is a power and the denominator is a root.
32. A number that raises a number to a power, multiplying the number by itself a certain number of times.

Across

2. (of a circle) a point that is the same distance from every point on the circle.
5. to explain why something is correct or incorrect by giving logical reasons.
7. a ratio that tells the number of units of one quantity for 1 unit of another quantity.Rates are often expressed using the word per, such as 5 miles per hour or 2 cups per serving.
8. the factor you multiply all the side lengths in a figure by to make a scale copy.
12. a line segment that goes through the center of a circle and has endpoints on the circle. Also, the distance across a circle through the center.
13. specific but not named.
17. the relationship between two quantities where one quantity is a constant multiple of the other quantity. If the quantities x and y are in a proportional relationship, you can represent that relationship with the equation y = kx, where the value of k is constant (unchanging)
21. a drawing in which the measurements correspond to the measurements of the actual object by the same scale.
23. a fraction in which the numerator is a fraction, the denominator is a fraction, or both the numerator and the denominator are fractions.
24. to know and say what something or someone is.
25. the amount of space inside a closed two-dimensional figure. Area is measured in square units such as square centimeters.
27. the point (0, 0) in the coordinate plane where the x-axis and y-axis intersect.
29. the unit rate in a proportional relationship.
30. to include as part of something.

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1. tells the relationship between a length in a drawing, map, or model to the actual length.
3. two ratios that express the same comparison. Multiplying both numbers in the ratio a : b by a nonzero number n results in the equivalent ratio na: no.
4. the distance around the outside of a circle. It can be thought of as the perimeter of the circle.
6. on to be determined by something.
9. an explanation of what something is or is like using words.
10. in a circle, the quotient circumference diameter Common approximations are 3.14
11. (of a circle) a line segment from the center of a circle to any point on the circle.Also the distance from the center to any
14. almost exact.
15. to be proof or evidence of
16. a pair of numbers, (x, y), that describes the location of a point in the coordinate plane. The x-coordinate gives the point's horizontal distance from the y-axis, and the y-coordinate gives the point's vertical distance from the x-axis.
18. a two-dimensional shape in which every point is the same distance from the center.
19. the first number in an ordered pair. It tells the point's horizontal distance from the y-axis.
20. the numerical part of a rate. For example, the rate 3 miles per hour has a unit rate of 3. For the ratio a : 6, the unit rate is the quotient
21. to believe to be true.
22. a way to compare two quantities when there are a units of one quantity for every b units of the other quantity. You can write the ratio in symbols as a : 6 and in words as a to b.
25. real and existing, not a model or copy.
26. the second number in an ordered pair. It tells the point's vertical distance from the x-axis.
28. length in one direction.A figure may have one, two, or three dimensions.

Across

2. A matrix that does not have an inverse; its determinant is 0.
3. A statistical method used to fit a linear model to a given data set.
5. A function whose rule is given by a trigonometric ratio.
7. In a right triangle, the cotangent of angle A is the ratio of the length of the die adjacent to A to the length of the side opposite A. It is the reciprocal of the tangent function.
8. A measure of dispersion of a data set. The standard deviation σ is the square root of the variance.
9. In a right triangle, the cosine of angle A is the ratio of the length of the side adjacent to angle A to the length of the hypotenuse. It is the reciprocal of the secant function.
10. A function of the form f(x)=ab^x, where a and b are real numbers with a ≠ 0, b > 0, and b ≠ 1.
12. A matrix with the same number of rows as columns.
13. A transformation that pulls the points of a graph horizontally away from the y-axis or vertically away from the x-axis.
15. The inverse of the relation consisting of all ordered pairs (x,y) is the set of all ordered pairs (y,x). The graph of an inverse relation is the reflection of the graph of the relation across the line y = x.
17. A rectangular array of numbers.
19. A point on a graph that is not connected; appears as a hole in the graph.
21. A real number associated with a square matrix. The determinant of A= [a b ^c d] is |A|=ad-bc.
22. The matrix of the coefficients of the variables in a linear system of equations.
24. A transformation that pushes the points of a graph horizontally toward the y-axis or vertically toward the x-axis.

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1. Ratio of the lengths of two sides of a right triangle.
4. A matrix where each entry is the opposite of each entry in another matrix. Two matrices are additive inverses if their sum is the zero matrix.
5. In a right triangle, the ratio of the length of the leg opposite ∠A to the length of the leg adjacent to ∠A.
6. A square matrix such that the product of it and another matrix forms an identity matrix.
11. A method of solving systems of linear equations by using determinants.
14. A set of three numbers that can be used to locate a point (x,y,z_ in a three-dimensional coordinate system.
16. Binomials of the form a+b and a-b. The terms are the same; the signs before b are opposites.
18. A line that divides a coordinate plane into two half-planes.
20. A fraction that contains one or more fractions in the numerator, the denominator, or both.
22. In a right triangle, the cosecant of angle A is the ratio of the length of the hypotenuse to the length of the side opposite A. It is the reciprocal of the sine function.
23. If n is a positive integer, then n factorial, written n!, is n* (n-1) * (n-2) * ... 2 * 1. The factorial of ) is defined to be 1.

Across

2. the most common number in a set of data
4. a number sentence that has an equal sign
5. an angle that is exactly 90 degrees
8. when the top number of a fraction is bigger than the bottom
9. initials for when you try to find the biggest same number that two numbers can be divided by
12. metric way to measure long distances
13. number you multiply by
16. the tool you use when you are measuring angles
17. when two lines will never touch
19. what you find when you multiply length times width
20. a four sided figure
22. type of triangle where none of the sides are the same
23. a quadrilateral with both pairs of opposite sides parallel
27. when two things are equal
29. the middle number when you list numbers from greatest to least
31. when a number is divisible by more than one and itself
35. type of triangle where two sides are the same
37. a number sentence that does not have an equal sign
39. an angle less than 90 degrees
41. the top number in a fraction
42. the leftovers in a division problem
45. a four sided figure with four right angles
47. a quadrilateral that has exactly one pair of parallel sides
50. US Customary way to measure how tall you are
51. how much matter an object has
52. how much gravity pull an object has on it (here on earth vs. on the moon)
53. a customary unit of capacity equal to 2 pints
54. US Customary way to measure long distances
55. time that has passed
56. when something has a probability of 1/4 or less

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1. a customary unit of capacity equal to 2 cups
2. the count by number, or the answer when you multiply
3. the bottom number in a fraction
6. US Customary way to measure short objects
7. a group of things (like a _____ of cookies)
10. metric way to measure short distances
11. when something has a probability of 3/4 or greater
13. a way to score points in basketball (two words, no space)
14. the biggest data number minus the smallest data number
15. name for the letter when a letter takes the place of a number in a number sentence
18. when two lines come together to make a right angle
21. initials for when you try to find the best number to divide by when simplifying fractions
24. the graph that shows data over time (two words, no space)
25. when all sides of the triangle are the same
26. 16 of these equal one pound
28. the decimal place value two place values to the right of the decimal
30. an angle more than 90 degrees
32. a number sentence that uses greater than or less than
33. the average found by adding all numbers and dividing by the number of numbers
34. a special kind of rectangle
36. same size and same shape
38. what you find when you add the sides of a figure
40. the decimal place value one place value to the right of the decimal
43. a special kind of parallelogram
44. hard coverings that protect animals that live in the ocean
46. money given weekly or monthly to children, often in exchange for doing work at home
48. when a number is only divisible by one and itself
49. a customary unit of capacity equal to 4 quarts

Across

2. composition of the x coordinate and the y coordinate having two values written in a fixed order within parentheses.
10. number of times a number is multiplied by itself
14. When you multiply an integer times itself
18. The numbers that include natural numbers and zero
20. the factor that we multiply by itself three times to get that number.
22. line that divides a figure into two halves such that one half is the mirror image of the other half
27. the amount of space in it
28. a set of 3 positive numbers that fit in the formula of the Pythagorean theorem which is expressed as, a2 + b2 = c2
29. Angles Two angles that are exterior to the parallel lines and on the same side of the transversal line
30. the amount of space occupied
31. a number that is equal to the number, multiplied by itself, three times
33. to manipulate the shape and/or position of a point, a line, or geometric figure
34. a two-dimension surface formed by two number lines
38. a number that cannot be expressed as a fraction for any integers
40. A circular movement
41. any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal

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1. straight line passing from side to side through the center of a body or figure, especially a circle or sphere
3. the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
4. a number that occurs commonly and obviously in nature
5. one of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines
6. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
7. Angles angles opposite each other where two lines cross
8. two angles that are on the interior of the two lines and specifically on the same side of the transversal
9. number which produces a specified quantity when multiplied by itself
11. the mirror image of a figure over a line
12. are the angles that have equal measure
13. the amount of space occupied by a cone in a three-dimensional plane
15. the ratio between the scale of a given original object and a new object
16. Positive or negative, large or small, whole numbers, fractions or decimal numbers
17. two lines intersect each other at a single point
19. a whole number that can be positive negative and zero
21. changing the size of an object without changing its shape
23. numbers are expressed as products consisting of a number between 1 and 10 multiplied by an appropriate power of 10
24. the value, which gives the number when it is multiplied by itself
25. the sides that are in the same position in any different 2-dimensional shapes
26. the longest side of a right triangle, opposite the right angle
32. the sphere
35. A line that crosses at least two other lines
36. Two shapes are Similar when one can become the other after a resize, flip, slide or turn
37. the form of a number or algebraic expression in which the number or algebraic expression is under a radical.
39. Any number that can be written as a ratio of two integers

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6. large or small, whole numbers, fractions, or decimal
7. the identical in form
9. the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
10. is a number that produces a specified quantity when multiplied by itself
11. A number which produces a number when cubed
12. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
13. defines the space or the capacity of the cone
17. is a number that produces a specified quantity when multiplied by itself
18. A number that can be multiplied by its self
22. two numbers or sometimes a letter and a number, that locate a specific point on a grid
23. not expressible as a ratio of two integers
25. two angles that are on the same side of the transversal and on the interior of between the two lines.
27. one of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines
29. expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal,
31. Integer triples that satisfy this equation are Pythagorean triples
32. each of the pairs of opposite angles made by two intersecting lines.
33. when two figures have the same shape but their sizes are different
34. a pair of matching angles or sides that are in the same spot in two different shapes.
36. a line midway between something, called a pre-image, and its mirror reflection
37. the action or condition of becoming or being made wider, larger, or more open.
38. the cycle of growth and felling or cutting of trees
39. Two angles that are exterior to the parallel lines and on the same side of the transversal line
40. A number that is not a fraction or
41. A symbol that is used to denote square root

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1. a mirror image of the shape
2. A number that is multiplied by itself three times
3. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere
4. the ratio between the scale of a given original object and a new object
5. four-thirds times pi times the radius cubed.
8. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
14. formed when two lines intersect each other at a single point.
15. is a number that produces a specified quantity when multiplied by itself
16. A tool to graph certain points
19. a quantity representing the power to which a given number
20. a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure
21. the longest side of a right triangle, opposite the right angle.
24. A positive whole number
26. intersecting a system of line
28. A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10.
30. the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it
35. a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Across

2. identity is an equality relating one mathematical expression A to another mathematical expression B (ex.( x + y ) 2 = x 2 + 2 x y + y 2 (x+y)^2 = x^2 + 2xy + y^2 (x+y)2=x2+2xy+y2)
5. real number that cannot be expressed as the quotient of two integers (ex.√2, √3, √5, √11, √21, π(Pi) )
6. number that can be written as a ratio (or fraction) of two integers (ex.1/2, 1/5, ¾)
8. + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44)
9. numerical quantity that is not a whole number. (ex.⅓, ⅔, ⅖, 3/7, 5/9,)
12. numbers that include natural numbers and zero (ex.0, 1, 2, 3, 4, 5, 6, and 7)
13. divide something or give a share or part of something (ex.8 × ( 20 + 7 ) = 8 × 20 + 8 × 7 = 160 + 56 = 216)
14. a whole number (not a fractional number) that can be positive, negative, or zero. (ex.-5, 1, 5, 8, 97, and 3,043)
18. largest number that can divide evenly into two other numbers (ex.12, 20, and 24 have two common factors: 2 and 4)
19. can add or multiply regardless of how the numbers are grouped (ex.( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)
20. reciprocal (ex.5 ✕ 2 = 10 and 10 ÷ 2 = 5)
21. prime factors of a positive integer are the prime numbers that divide that integer exactly ex.if we take the number 30. We know that 30 = 5 × 6, but 6 is not a prime number.)

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1. non-zero common number (ex.Multiples of 6 are: 6, 12, 18, 24, 30, 36)
3. general term meaning written down in the way most commonly accepted It depends on the subject (ex.1.98 ✕ 10¹³; 0.76 ✕ 10¹³)
4. numbers that we use when we are counting or ordering (ex.5, 7, 21, 24, 99, 101)
7. an algebraic equation of the form y=mx+b (ex.2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.)
10. addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.
11. magnitude of a real number without regard to its sign.(ex. the absolute value of 5 is 5, and the absolute value of −5 is also 5)
15. ordered pair of numbers a and b, written a / b where b does not equal 0. (ex. if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3)
16. number or ratio that can be expressed as a fraction of 100. (ex. 10% is equal to 1/10 fraction. 20% is equivalent to ⅕ fraction. 25% is equivalent to ¼ fraction.)
17. equation in which two ratios are set equal to each other. (ex. 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls)

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3. the magnitude of a real number without regard to its sign.the actual magnitude of a numerical value or measurement, irrespective of its relation to other values.
4. a set of numbers arranged in rows and columns so as to form a rectangular array.a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
7. a number without fractions; an integer.The numbers that include natural numbers and zero
12. (of an operation) fulfilling the condition that, when it is performed on two or more quantities already combined by another operation, the result is the same as when it is performed on each quantity individually and the products then combined.concerned with the way in which things are shared between
14. an equation between two variables that gives a straight line when plotted on a graph.an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
15. the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.the relative value of silver and gold in a bimetallic system of currency.
16. any real number that cannot be expressed as the quotient of two integers. a real number that can be written as. a nonrepeating or nonterminating decimal but not as a fraction, the decimal goes on forever without repeating.
19. by a specified amount in or for every hundred.one part in every hundred.
20. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression a symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power

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1. a whole number; a number that is not a fraction.a thing complete in itself.
2. a number that can be represented as the quotient p/q of two integers such that q ≠ 0. a number that can be expressed as a fraction with an integer numerator and a positive integer denominator.
5. the process of finding the prime numbers, which are multiplied together to get the original number.a product obtained by factorization.
6. is the product of multiplying a number by itself.a shortcut to indicate a number should be multiplied by itself
8. a part, share, or number considered in comparative relation to a whole. the relationship of one thing to another in terms of quantity, size, or number; ratio.
9. Any rotation is a motion of a certain space that preserves at least one point. a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
10. an enumerated collection of objects in which repetitions are allowed and order matters.an ordered list of numbers
11. a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules Ax+By=C
13. Numerical measure of a line's inclination relative to the horizontal. the steepness and direction of a line as read from left to right.
17. a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed pointsa mirror image of the shape.
18. a numerical quantity that is not a whole number. a small or tiny part, amount, or proportion of something.

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6. Not having a meaning or value.
7. Any one of the ten numbers 0 to 9
10. A numerical quantity that represents a part of a whole, written as a/b where ‘a’ is the numerator and ‘b’ is the denominator
16. Number that multiplied by itself
17. A symbol representing an unknown or changing quantity in an equation.
18. The Sam şn amount, number, or size
20. When more than 2 numbers are added or multiplied, the result remains the same, irrespective of how they are grouped.
21. number A positive integer or zero.
22. An accepted principle
23. Number A positive integer that is equal to the sum of its proper divisors.
25. A line segment from the center to the circumference of a circle.
27. To divide something or give a share or part of something.
28. To calculate the total of a group of numbers
31. A fraction of 100,often represented with the symbol ‘%’.
32. The process of taking one number or amount away from another number or amount
35. A whole number and not a fraction
36. Of a calculation, giving the same result what ever order the values are in.
37. Something that someone says or writes officially, or an action done to express an opinion
38. To show or prove that a statement or answer is a correct.
40. Number A number less than zero.
41. A number that results from multiplying one number by another when at least one of them is a whole number (= a number with no part of a number after it)

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1. Number A number that cannot be divided by any other number except itself and the number 1
2. A single thing or a separate part of something larger
3. A number with a decimal point, seperating the whole number from its fractional part
4. The number denoting the absence or lack of quantit
5. The dividing of a number into factors (=whole numbers that are produced when you divide a larger number by another whole number).
8. A visual representation of data using points, lines or bars.
9. A unit of length equal
11. When you divide one number by another the result is a ‘counting number’ or the remainder for the division is 0.
12. The branch of mathematics involving shapes, sizes and properties of space
13. A closed shape with all points equidistant from its center
14. The outer edge of an area or the border around it.00
15. The amount of something that can be received for something
19. The proses of using information you already have and adding, taking away, multiplying, or dividing numbers to judge the number or amount of something
24. A number or sign that shows how many times another number is to be multiplied by itself
26. Element An element of a set that lives any other element of the set unchanged when combined with it using a given mathematical operation.
29. The result of division
30. Any whole number that is produced when you divide a larger number by another whole number.
33. Number A whole number (=a number such as 1,3, or 17, that has no fractions and no digits after the decimal points) that is greater than zero, or sometimes that includes 0 itself.
34. A polygon with three sides and three angles
36. A drawing that shoes information in a simple way, often using lines and curves to show amounts
39. The whole number or amount when two or more numbers or amounts have been added together

Across

4. The result of a division problem.
7. A set of multiple equations (usually 2) that use the same variables. The solution of these equations is where they intersect on a coordinate plane.
8. Zero/ Root/ Solution) Where the graph crosses through the x-axis or where y = 0.
10. A straight up and down line
11. The variable that’s value depends on the independent variable (usually the y variable).
13. that travel alongside each other and never intersect. (Parallel lines have the same slope)
16. Relationship between 2 variables (usually x and y) where when one increases the other decreases. (Uses the formula y = k/x)
20. Relationship between 2 variables (usually x and y) where when one increases the other increases as well. (Uses the formula y = kx)
22. that intersect each other at a 90o angle (Perpendicular lines have slope that are opposite reciprocals)
24. Sequence A list of numbers that have a common difference.
25. The result of an addition problem
26. In the form (x, y) where x gives the horizontal distance and y gives the vertical distance from the center of the coordinate plane
27. (AKA Rate of Change) The ‘steepness’ of a line. Represented as the letter ‘m’ in the equation y = mx + b. Found by dividing the change of y by change of x.
28. The lone number without a variable
29. The smallest value on a parabola that opens up.
31. Two numbers that have opposite signs and are flipped fractions
33. Terms that when multiplied together result in the original term.
34. that starts small and grows quickly (or starts big and decreases quickly) based off of the parent function y =2x
36. The result of a subtraction problem.
38. The equation of a line that goes through a set of points.
42. A ‘U’ shaped graph
43. A straight left and right line
44. The vertical axis of the coordinate plane
45. A lack of a pattern found in a scatterplot in which the plotted points are scattered randomly.

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1. The 4 zones that the coordinate plane is divided into.Quadrant I(+x, +y), Quadrant II(-x, +y),Quadrant III (-x, -y),and Quadrant IV(+x, and –y).
2. The point on a parabola where the graph changes from increasing to decreasing (or vice versa).
3. Correlation A pattern found in a scatterplot in which the plotted points are increasing.
5. in the shape of a ‘U’ based off of the parent function y = x^2
6. The ‘letter’ within an equation that stands for a particular value
9. Grid comprised of 4 quadrants in which coordinate points are plotted
12. A pattern found in a scatterplot in which the plotted points are decreasing.
14. The greatest value on a parabola that opens down.
15. The variable that’s value doesn’t depend on another variable (usually the x variable).
17. The number in front of the variable.
18. Multiplying 2 groups of expressions together
19. A set of data where no x values repeat
21. The line that would divide a parabola into 2 equal parts down the center.
23. The center of the coordinate plane, (0, 0).
30. Sequence A list of numbers that have a common ratio.
32. in the shape of a straight line based off of the parent function y = x
35. Where the graph crosses through the y-axis or where x = 0.
37. The collection of all y values.
39. The result of a multiplication problem.
40. The collection of all x values.
41. The horizontal axis of the coordinate plane

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5. Element An element of a set that lives any other element of the set unchanged when combined with it using a given mathematical operation.
7. The process of taking one number or amount away from another number or amount
8. To calculate the total of a group of numbers
10. Of a calculation, giving the same result what ever order the values are in.
12. A whole number and not a fraction
15. The amount of something that can be received for something
18. A number or sign that shows how many times another number is to be multiplied by itself
21. Any whole number that is produced when you divide a larger number by another whole number.
22. The branch of mathematics involving shapes, sizes and properties of space
24. The outer edge of an area or the border around it.00
27. A symbol representing an unknown or changing quantity in an equation.
29. A visual representation of data using points, lines or bars.
30. A polygon with three sides and three angles
31. Number A number that cannot be divided by any other number except itself and the number 1
34. A positive integer that is equal to the sum of its proper divisors.
36. To divide something or give a share or part of something.
38. When more than 2 numbers are added or multiplied, the result remains the same, irrespective of how they are grouped.
39. Number A number less than zero.
40. A line segment from the center to the circumference of a circle.
41. A single thing or a separate part of something larger

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1. Not having a meaning or value.
2. A numerical quantity that represents a part of a whole, written as a/b where ‘a’ is the numerator and ‘b’ is the denominator
3. A number that results from multiplying one number by another when at least one of them is a whole number (= a number with no part of a number after it)
4. A number with a decimal point, seperating the whole number from its fractional part
6. An accepted principle
9. Any one of the ten numbers 0 to 9
10. A closed shape with all points equidistant from its center
11. The number denoting the absence or lack of quantit
13. Number that multiplied by itself
14. To show or prove that a statement or answer is a correct.
16. Something that someone says or writes officially, or an action done to express an opinion
17. The dividing of a number into factors (=whole numbers that are produced when you divide a larger number by another whole number).
19. number A positive integer or zero.
20. A fraction of 100,often represented with the symbol ‘%’.
23. The Sam şn amount, number, or size
25. Number A whole number (=a number such as 1,3, or 17, that has no fractions and no digits after the decimal points) that is greater than zero, or sometimes that includes 0 itself.
26. When you divide one number by another the result is a ‘counting number’ or the remainder for the division is 0.
28. A unit of length equal
32. The proses of using information you already have and adding, taking away, multiplying, or dividing numbers to judge the number or amount of something
33. The result of division
35. A drawing that shoes information in a simple way, often using lines and curves to show amounts
37. The whole number or amount when two or more numbers or amounts have been added together

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3. the two-dimensional extent of the surface of a solid
4. a whole number less than zero
6. the process or skill of multiplying
7. a relationship between two sets that associate a unique element
11. total amount resulting from the addition of two or more numbers
12. the quantitative relation between two amounts showing the number of times one value contains or is contained within the other
14. the smallest number that two or more numbers can divide into evenly
16. a mathmatical structure that represents a particular function by connecting a set of points
17. a mathematical operation in which the sum of two numbers is calculated
18. result you get after you multiply
20. symbols used for grouping expressions, multiplying expressions, separating expressions
21. the number of distinct single-digit numbers in a counting system
22. term that represents an unknown number
25. starting point on the grid where the x-axis and the y-axis intercept
28. vertical axis of a system of coordinated
30. an altitude of a face of a pyramid or cone
34. a number by which another number is to be divided
36. term that is used to compare two or more numbers
39. a real number that can't be expressed as a ratio of integers
40. one of two more integers whose product is a given integer
41. reducing the expression/fraction/problem in a similar form
42. the inverse of multiplying
43. a variable in an expression that depends on the value of another variable
44. a number that isn't a fraction; a whole number
46. a symbol representing an unspecified number that remains throughout a particular series of operations
47. a whole number greater than zero
48. a pair of numbers which are used to determine the position of a point or a shape in a two-dimensional plane

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1. the largest number that doesn't depend on any other variable for its value
2. most common number that appears in the data set
5. result from subtracting one number from another
8. a number into which each number in a given set may be evenly divided
9. any number that can be written as a fraction
10. middle number in a sorted list of numbers
13. a number without fractions
15. a variable that doesn't depend on any number that doesn't depend on any other variable for its value
19. horizontal axis of a system of coordinates
23. the number's distance from zero
24. difference between the highest and lowest values in a given set of numbers
26. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol besides the number or expression
27. having the same shape and size
29. a general relationship, often stated as an equation, in the form of symbols
31. when the sum of two angles is 90 degrees
32. average of a data set
33. a result obtained by dividing one quantity by another
35. taking away a number or amount from another number or amount
37. lines that don't intersect or meat each other at any point in a plane
38. the amount of three-dimensional space occupied by an object or a closed surface
43. a straight line connecting the centre of a geometric figure
45. a ratio that compares two different quantities which have different rules

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1. one of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines
3. Any number that can be written as a ratio or fraction of two integers
4. Two angles that are exterior to the parallel lines and on the same side of the transversal line
6. Notation A way to writing very large or very small numbers
7. The density of the cylinder which signifies the amount of material.
8. An image reflect through a line known as the line of reflection
10. An straight line passing from side to side through the center of a body or figure
12. A type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point
14. A transformation which is used to resize the object
15. Is used to denote square root or nth roots
17. The pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
22. A general term for four specific ways to manipulate the shape and or position of a point a line or geometric figure
24. The number which produces a given number when cubed
25. A number without fractions an interger
26. A number which produces a specified quantity when multiplied by itself
30. A pair of matching angles or sides that are in the same spot in two different shapes
32. A number that is equal to the number multiplied by itself three times
33. Two angles that are on the same side of the transversal and on the interior of between the two lines
35. The amount of space occupied within the sphere
36. a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
37. where a, b and c are the three positive integers
38. either of a pair of angles that have the same vertex and are on opposite sides of two intersecting straight lines
39. A surfaced formed by two number lines
41. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

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2. A number which produces a specified quantity when multiplied by itself
5. A mirror image of the shape
9. A value written in a fixed order within parentheses
11. a line that passes through two lines in the same plane at two distinct points in the geometry.
13. Exactly equal shape and size
16. A quantity that can be expressed as an infinite
18. Defines the space or the capacity of the cone
19. The longest side of a triangle opposite the right angle
20. the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
21. An integer that can be expressed as the square of another integer
23. Formed when two lines intersect each other at single point
27. A number that cannot be expressed as a fraction for any integers
28. A number that is not fraction
29. When two figures have the same shape but their sizes are different
31. A ratio between the scale of a given original object and a new object
34. The positive integers
40. A quantity representing the power to which a given number or expression is to be raised usually Expressed as a raised symbol beside the number or expression

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3. A specified amount in or for every hundred. A part of a whole expressed in hundredths. (ex. 95% 16%)
5. Any positive number that does not include a fraction or decimal. A number that can be written without a fractional component. (ex. 0, 1, 10)
7. Any real number that cannot be expressed as the quotient of two integers. A quotient is the result of dividing two numbers. (ex. Pi, square root of 2)
9. The number or variable that is being multiplied by itself in relation to its exponent. The bigger number when there is an exponent next to it. (ex. 5 to the power of 2)
11. A numerical quantity that is not a whole number. A small or tiny part, amount or proportion of something. (ex. 1/2, 1/4)
12. An ordered list of numbers. This list can increase or decrease as long as it's being multiplied, added or subtracted by the same number each time. (ex. 3,5,7,9…)
14. A formula to find the midpoint between two points. Uses two sets of coordinates to find the middle point of the line they make.
15. A symbol usually a letter, standing in for an unknown numerical value in an equation. A placeholder for a quantity that may change. (ex. x, y)
16. A sequence in which the difference between consecutive terms is always the same. It uses adding or subtraction to find the next term. (ex. 4, 7, 10, 13…)
19. A theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs. The hypotenuse is the longest leg that's opposite of the right angle and the legs are the other two sides of the triangle. (ex. A squared+B squared=C squared)
20. A formula used to find the distance between two points. Uses two sets of coordinates to find the distance between them.

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1. A whole number, a number that is not a fraction. A whole value that is positive, negative or 0. (ex. 1, 10, 25)
2. The constant amount of change between numbers in an arithmetic sequence. The amount that is added or subtracted from the previous term to find the next. (ex. 2, 4, 6, 8…. 2+2=4 4+2=6 6+2=8)
4. A scalar value that is a function of the entries of a square matrix. A scalar value refers to a single value. (ex. 2x2, 4x4)
6. All positive integers that aren’t decimals or fractions. All whole numbers but 0. (ex. 1, 2, 3, 4, 5…)
8. A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed number. A common ratio is multiplied to each term. (ex, 1, 2, 4, 8…)
10. An algebraic equation in which each term has an exponent of 1. The graphing of the equation results in a straight line (ex. y=-x+2)
13. The amount multiplied between each term in a geometric sequence. The first term is multiplied by a number two get the second term and that number is used to find the next terms.(ex, 1, 2, 4, 8… 1x2=2 2x2=4 4x2=8)
17. numerical measure of a line's inclination relative to the horizontal. Can be shown using rise over run. (ex. y2-y1/x2-x1)
18. Each of the pairs of opposite angles made by two intersecting lines. Intersecting lines are when two or more lines cross each other in a plane.

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2. A type of transformation that takes each point in a figure and slides it the same distance in the same direction.
3. Expressible, or containing quantities that are expressible, as a ratio of whole numbers.
6. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
9. two angles that are on the same side of the transversal and on the interior of (between) the two lines.
11. the amount of space occupied by a sphere in a three-dimensional plane
14. the sides that are in the same position in any different 2-dimensional shapes
16. resembling without being identical.
19. (of a line) intersecting a system of lines.
21. the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.
23. a quantity that can be expressed as an infinite decimal expansion.
24. a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
30. the action of rotating around an axis or center.
31. a number without fractions or an integer
32. a positive whole number (1, 2, 3, etc.), sometimes with the inclusion of zero.
33. the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
37. Two angles that are exterior to the parallel lines and on the same side of the transversal line
39. when a shape or pattern is reflected in a line of symmetry / a mirror line
40. a number that is not a fraction; a whole number.

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1. consists of three positive integers a, b, and c, such that a2 + b2 = c2.
4. An ordered pair contains the coordinates of one point in the coordinate system.
5. The product of a rational number multiplied by itself.
7. the amount of space occupied by a cylinder in a three-dimensional plane
8. An image or shape as it would be seen in a mirror.
10. a two-dimension surface formed by two number lines
12. (of figures) identical in form; coinciding exactly when superimposed.
13. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
15. the longest side of a right triangle, opposite the right angle.
17. cannot be expressed as the ratio of two integers.
18. angles formed when a transversal intersects two coplanar lines.
20. the amount of space occupied by a cone in a three-dimensional plane
22. the action or condition of becoming or being made wider, larger, or more open.
25. each of the pairs of opposite angles made by two intersecting lines.
26. a thorough or dramatic change in form or appearance.
27. The factor that we multiply by itself to get that number.
28. The ratio between the scale of a given original object and a new object,
29. The number of times a number is multiplied by itself
34. The factor that we multiply by itself three times to get that number
35. Of the root of a number or quantity.
36. the product of a rational number multiplies by itself three times.
38. are formed when two lines intersect each other at a single point.

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3. A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10
4. the angles formed when a transversal intersects two coplanar lines
5. any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal
11. A line that crosses at least two other lines
13. Positive or negative, large or small, whole numbers, fractions or decimal numbers are all Real
15. a whole number that can be positive, negative, or zero
16. The numbers that include natural numbers and zero
17. The number of times a multiplied by itself
18. a transformation, which is used to resize the object
19. a type of transformation that takes each point in a figure and slides it the same distance in the same direction
23. Two angles that are exterior to the parallel lines and on the same side of the transversal line
24. the length of the line through the center that touches two points on the edge of the circle
25. two angles that are on the interior of the two lines and specifically on the same side of the transversal
27. A number that is equal to the number multiplied by itself three times
29. a pair of matching angles or sides that are in the same spotin two different shapes
30. the density of the cylinder which signifies the amount of material
31. exactly equal shape and size
32. The factor that is multiplied by itself three times to get that number
36. the set of all points in three-dimensional Euclidean space that are located at a distance
37. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
38. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes

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1. A number that can be represented as the quotient of two integers
2. where a, b and c are the three positive integers
6. a two-dimension surface formed by two number lines
7. angles opposite each other where two lines cross
8. The longest side of a right triangle, opposite the right angle
9. A number that cannot be expressed as a fraction for any integer
10. An equation in which a variable is under a radical
11. a general term for four specific ways to manipulate the shape
12. the well known geometric theorem that the sum of the squares on the legs of a right triangle
13. a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point
14. An image will reflect through a line, known as the line of reflection
20. When two figures have the same shape but their sizes are different
21. The numbers that we use when we are counting or ordering
22. mirror image of the shape
26. An interger that can be expressed as the square of an another interger
28. the space or the capacity of the cone
33. the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller)
34. A factor of a number that, when multiplied by itself gives the original number
35. those whose graph is a straight line

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3. A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2.
4. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
7. Exponents is a number
11. the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it.
12. Line a mirror image of the shape.
15. formed when two lines intersect each other at a single point.
17. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
18. A line that crosses at least two other lines
19. Positive or negative, large or small, whole numbers, fractions or decimal numbers are all Real Numbers.
23. the number which produces a given number when cubed.
24. the sides that are in the same position in any different 2-dimensional shapes.
26. a number is a value that, when multiplied by itself, gives the number.
27. the amount of space occupied, within the sphere.
29. when all corresponding angles are equal and all distances are increased (or decreased) in the same ratio
30. the ratio between the scale of a given original object and a new object.
31. a whole number (not a fractional number) that can be positive, negative, or zero.
33. the amount of space occupied by a cone in a three-dimensional plane.
35. a two-dimensional plane formed by the intersection of two number lines.
36. Where a number is written in two parts.
37. A number that cannot be expressed as a fraction for any integers.
38. The same shape and size.
39. the longest side of a right triangle, opposite the right angle.
40. a number is a value that, when multiplied by itself, gives the number.

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1. changing the size of an object without changing its shape.
2. Moving a shape without rotating or flipping it.
5. a type of rigid geometrical transformation that maintains the object's size and shape.
6. one of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines.
8. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
9. Two angles that are exterior to the parallel lines and on the same side of the transversal line
10. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
13. a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
14. a number that is equal to the number, multiplied by itself, three times.
16. the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.
20. The numbers that include natural numbers and zero.
21. A circular movement.
22. An expression that uses a root.
23. any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
25. two angles that are on the same side of the transversal and on the interior of (between) the two lines.
28. Transformation means to change.
32. The numbers that we use when we are counting or ordering
34. A number that can be made as a fraction of two integers.

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4. measurement of something from base to top
8. obtain from (a number) another that contains the first number a specified number of times
9. with the addition of (+)
10. a quantity obtained by multiplying quantities together
13. an abbreviation of logarithm
14. a number in terms of which other numbers are expressed as logarithms
17. a plane figure with four equal straight sides and four right angles
18. a result obtained by dividing one quantity by another
19. take away (a number or amount)
20. (of an angle) less than 90°
21. put together (two or more numbers or amounts)
23. a numerical quantity that is not a whole number
24. the number of times a certain number is to be multiplied by itself
28. a number by which another number is to be divided
30. be equivalent to
31. the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles
35. the branch of mathematics dealing with the properties and manipulation of numbers
36. the abstract science of number, quantity, and space
38. a round plane figure whose boundary consists of points equidistant from a fixed point
40. a quantity by which a given number is to be multiplied
41. it is commonly referred to as the x
42. a number to be divided by another number
43. a number that is added to another
45. the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs
47. a plane figure with three straight sides and three angles
48. it is a relation where each elements in the domain is related to only one value in the range by some rule
49. measurement of something from side to side

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1. measurement of something from end to end
2. a number without fractions (0,1,2,3)
3. the process of dividing a matrix, vector, or other quantity by another under specific rules to obtain a quotient
5. a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles
6. the branch of mathematics that deals with the finding and properties of derivatives and integrals of functions
7. a quantity representing the power to which a given number or expression is to be raised
8. a quantity or number from which another is to be subtracted
11. it is a rule that relates values from a set of values to a second set of values
12. the amount of space that a substance or object occupies
15. the process of taking a matrix, vector, or other quantity away from another under specific rules to obtain the difference
16. the space (usually measured in degrees) between two intersecting lines
22. with the subtraction of (-)
25. it is commonly referred to as the y
26. the process of combining matrices, vectors, or other quantities under specific rules to obtain their product
27. a whole number (-1,0,1,-2)
29. a quantity or number to be subtracted from another
32. a quantity that is to be multiplied by another
33. with the multiplication of (x)
34. a quantity by which amounts differ
37. the total amount resulting from the addition of two or more numbers, amounts, or items
39. the process of combining matrices, vectors, or other quantities under specific rules to obtain their sum
44. separate (something) into portions
46. an abbreviation of mathematics

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1. An expression that represents repeated multiplication of the same factor. The product of multiplying a number by itself.
4. an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members.
5. Value - The absolute value | x | of a real number x is the non-negative value of x without regard to its sign. The magnitude of a real number without regard to its sign.
7. part of mathematics that consists of many things. Including, the study of the properties of the traditional operations on number addition, subtraction, multiplication, division, exponentiation, and extraction of roots
9. the trigonometric function that is equal to the ratio of the side adjacent to an acute angle to the hypotenuse. The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
12. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression.
13. a line that passes through two lines in the same plane at two distinct points. They play a role in establishing whether two or more other lines in the Euclidean plane are parallel
15. an ordered pair of numbers a and b, written a / b where b does not equal 0. The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
16. Form-a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. A way of writing a very large number with one number before the decimal point, multiplied by a power of 10.
18. a plane curve at a given point is the straight line that "just touches" the curve at that point. the line through a pair of infinitely close points on the curve.

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1. a number or ratio expressed as a fraction of 100. A specified amount in or for every hundred.
2. whole-valued positive or negative number or 0. A number that isnt a fraction.
3. to find the value of the expression when the variable is replaced by a given number. You substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
4. putting numbers in place of letters to calculate the value of an expression . ______________ this expression into the other equation and solve.
6. lines- lines in a plane that are always the same distance apart. They never intersect.
8. pairs of mathematical manipulations in which one operation undoes the action of the other. Something that is the opposite or reverse of something else.
10. Numerical measure of a line's inclination relative to the horizontal. Be inclined from a horizontal or vertical line(slanted)
11. mathematical expression with a numerator and a denominator, a disconnected piece or a small part of something. A numerical quantity that isn’t a whole number.
14. an alphabet or term that represents an unknown number or unknown value or unknown quantity. A variable is a symbol and placeholder for a quantity that may change, or any mathematical object.
17. to divide something or give a share or part of something. Multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

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4. an algebraic expression that has three non-zero terms and has more than one variable in the expression.
7. the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics.
9. root it is the number that, when multiplied by itself, gives the original number.
10. any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.
11. the collection of whole numbers and negative numbers.
13. sign the sign √ which indicates the square root of the number following (or a higher root indicated by a preceding superscript numeral).
14. isolating the square and then applying the square root property
16. equation an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
17. an algebraic expression with a single term but can have multiple variables and a higher degree too.
19. is equal to the negation of the coefficient of the second term, divided by the leading coefficient.
20. method A technique for distributing two binomials; stand for First, Outer, Inner, Last.
22. a specific number or a symbol that is assigned a fixed value.
24. the largest factor that all the numbers share.
25. the square writing a quadratic in the form of a squared bracket and adding a constant if necessary.
26. something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms.
28. a real number that cannot be expressed as a ratio of integers
30. the lowest common multiple of the denominators of a set of fractions.
31. converting the given quadratic expression into the product of two linear factors.
32. an algebraic expression of the sum or the difference of two terms.

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1. any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
2. a fact or a rule written with mathematical symbols.
3. formula a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
5. square a positive integer that is obtained by multiplying an integer by itself.
6. equation a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 .
8. drawing the curve that represents the function on the coordinate plane.
9. A value or values which, when substituted for a variable in an equation, make the equation true.
12. one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
13. a number that when multiplied by itself produces the original number.
14. a mathematical statement that shows that two mathematical expressions are equal.
15. is equal to the constant term (the third term), divided by the leading coefficient.
18. the slope-intercept form of the equation of a straight line.
20. represents the parts of a whole or collection of objects.
21. form a special way of writing numbers or equations that helps us easily compare and work with them.
23. used to show that the values on either side of it are the same.
27. are defined as the square root of the negative numbers where it does not have a definite value. It is mostly written in the form of real numbers multiplied by the imaginary unit called “i”.
29. the part of the quadratic formula underneath the square root symbol

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2. Probability of Equality, multiple both sides of an equation
5. comparing two quantities with great than or equal to less than or equal to and not equal
6. area, the sum of an areas faces
10. an angle that is 180 degrees
13. 3.14
14. notation, repeating decimals
15. property divide both sides
16. one of the two parallel congruent faces of a prism
18. cubic units needed to fill space
20. diagram to show sample space
21. step, equation 2 different operations
22. tax, money charged by the state
26. ratio with different units
27. rate is compared to 1 ——
28. a property explaining this: a(b+c)=ab+ac
30. decimal repeating a 0
32. two or more figures
33. comparison between quantities
34. a polyhedron with 2 parallel congruent faces called bases
36. mathematical sentence that contains an = sign
37. any number Interest, amount paid or earned
38. center of a circle distance
41. of proportionality, also called constant of variation
46. value, distance a number is from zero
47. two ratios or rates are equivalent
48. a number variable product or quotient
50. step inequality, contains 2 operations
52. angles with the same vertex and do not overlap
54. Property of Multiplication, product of a number and its multiplicative inverse is 1 isosceles, a type of triangle with at least two congruent sides
55. expression, variables numbers and at least one operation
56. relationship with two ratios that are not constant
58. single point 3D figure or ice cream is good in this
59. a tip or money for a service
61. same measure
62. a payment equal to a percent that someone sells for you
63. of Operations, rules to follow in a numerical expression
64. property of equality, adding the same number to both sides of an equation they are equal
65. measure of center in set of numerical data
66. inverse, two numbers with the sum zero

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1. numerical factor of a term that contains a variable
3. two angles sum is 90 degrees
4. inverse, 2 numbers with the product of 1
7. angle, 90 degrees
8. two or more equations with same solution
9. of Change, compares change in a quantity to original amount
11. the chance it might happen
12. a form of an expression that is the smallest
17. closed figure by 3 or more straight lines
19. middle of Circumference, measurement outside of a circle
23. abv. for the smallest number that two or more fractions share
24. property of Equality, subtract both sides of an equation
25. interest is amount paid or earned
26. multiplication inverse
29. distance in a circle
31. abv. Biggest variables that the monomials have in common
35. the average of set data
39. numbers, 1=1/1 and 1/1=1
40. decimal, .3333 or .5555
42. value that is true
43. an angle greater than 0 degrees but less than 90
44. no variable
45. number variable or product of a number
47. relationship between 2 ratios
49. find a value of an expression Factor, to write a number as a product of its factors
51. symbol represents a number
53. money deposited and borrowed
57. possible result of an action
60. terms that contain the same variable Linear, algebraic expression raised to the first power

Across

1. the process or skill of multiplying
7. having the same shape and size
9. a ratio that compares two different quantities which have different rules
12. a whole number greater than zero
14. a whole number less than zero
17. taking away a number or amount from another number or amount
19. vertical axis of a system of coordinated
20. a straight line connecting the centre of a geometric figure
21. term that is used to compare two or more numbers
22. a number without fractions
23. average of a data set
25. difference between the highest and lowest values in a given set of numbers
27. the amount of three-dimensional space occupied by an object or a closed surface
28. a result obtained by dividing one quantity by another
33. result from subtracting one number from another
36. an altitude of a face of a pyramid or cone
37. most common number that appears in the data set
40. a relationship between two sets that associate a unique element
41. the number's distance from zero
42. result you get after you multiply
43. total amount resulting from the addition of two or more numbers
44. starting point on the grid where the x-axis and the y-axis intercept
45. middle number in a sorted list of numbers
48. the two-dimensional extent of the surface of a solid
49. term that represents an unknown number

Down

2. a mathematical operation in which the sum of two numbers is calculated
3. the quantitative relation between two amounts showing the number of times one value contains or is contained within the other
4. the largest number that doesn't depend on any other variable for its value
5. a pair of numbers which are used to determine the position of a point or a shape in a two-dimensional plane
6. a number that isn't a fraction; a whole number
8. a variable in an expression that depends on the value of another variable
10. symbols used for grouping expressions, multiplying expressions, separating expressions
11. the smallest number that two or more numbers can divide into evenly
13. reducing the expression/fraction/problem in a similar form
15. lines that don't intersect or meat each other at any point in a plane
16. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol besides the number or expression
18. a general relationship, often stated as an equation, in the form of symbols
24. a number into which each number in a given set may be evenly divided
26. any number that can be written as a fraction
29. a variable that doesn't depend on any number that doesn't depend on any other variable for its value
30. a real number that can't be expressed as a ratio of integers
31. when the sum of two angles is 90 degrees
32. a symbol representing an unspecified number that remains throughout a particular series of operations
34. horizontal axis of a system of coordinates
35. the inverse of multiplying
38. one of two more integers whose product is a given integer
39. a number by which another number is to be divided
46. a mathmatical structure that represents a particular function by connecting a set of points
47. the number of distinct single-digit numbers in a counting system

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2. a number can be divided evenly only by 1, or itself and must be a whole number greater than 1.

Down

1. a number can be divided by 1, or itself, or and other numbers.

Across

2. a number can be divided evenly only by 1, or itself and must be a whole number great

Down

1. a number can be divided by 1, or itself, or and other numbers.

Across

6. Each of the pairs of opposite angles made by two intersecting lines. Intersecting lines are when two or more lines cross each other in a plane.
8. A formula used to find the distance between two points. Uses two sets of coordinates to find the distance between them.
12. A formula to find the midpoint between two points. Uses two sets of coordinates to find the middle point of the line they make.
14. An algebraic equation in which each term has an exponent of 1. The graphing of the equation results in a straight line (ex. y=-x+2)
15. A sequence in which the difference between consecutive terms is always the same. It uses adding or subtraction to find the next term. (ex. 4, 7, 10, 13…)
18. A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed number. A common ratio is multiplied to each term. (ex, 1, 2, 4, 8…)
19. An ordered list of numbers. This list can increase or decrease as long as it's being multiplied, added or subtracted by the same number each time. (ex. 3,5,7,9…)

Down

1. Any positive number that does not include a fraction or decimal. A number that can be written without a fractional component. (ex. 0, 1, 10)
2. A scalar value that is a function of the entries of a square matrix. A scalar value refers to a single value. (ex. 2x2, 4x4)
3. All positive integers that aren’t decimals or fractions. All whole numbers but 0. (ex. 1, 2, 3, 4, 5…)
4. A theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs. The hypotenuse is the longest leg that's opposite of the right angle and the legs are the other two sides of the triangle. (ex. A squared+B squared=C squared)
5. numerical measure of a line's inclination relative to the horizontal. Can be shown using rise over run. (ex. y2-y1/x2-x1)
7. A symbol usually a letter, standing in for an unknown numerical value in an equation. A placeholder for a quantity that may change. (ex. x, y)
9. A specified amount in or for every hundred. A part of a whole expressed in hundredths. (ex. 95% 16%)
10. Any real number that cannot be expressed as the quotient of two integers. A quotient is the result of dividing two numbers. (ex. Pi, square root of 2)
11. The number or variable that is being multiplied by itself in relation to its exponent. The bigger number when there is an exponent next to it. (ex. 5 to the power of 2)
13. A numerical quantity that is not a whole number. A small or tiny part, amount or proportion of something. (ex. 1/2, 1/4)
16. The constant amount of change between numbers in an arithmetic sequence. The amount that is added or subtracted from the previous term to find the next. (ex. 2, 4, 6, 8…. 2+2=4 4+2=6 6+2=8)
17. A whole number, a number that is not a fraction. A whole value that is positive, negative or 0. (ex. 1, 10, 25)

Across

1. division photograph graphite photo telagraph decimials fractions

Down

Across

2. 9/8+1/3
3. 4/3+1/3
5. 2/8+2/8
6. 1+12/7
8. 5/3+9/5
11. 1-2/3
13. 1/2+1/3
14. 3/2-3/8

Down

1. 2+5/6
2. 3-3/2
4. 2/3+7/5
7. 5/4+1/2
9. 2-4/3
10. 3/2-5/4
11. 1/2+4/3
12. 7/4-6/7

Across

2. 3.14×10
3. (-2×-2)
5. 6÷3/9÷3
6. 5/9+1/9
7. (-6)×(-5)

Down

1. 14-8/18+2
4. 1.62×100

Across

1. fractions, sets, algebra, statistics, percentage, decimals, simple interest, ratio, operations in arithmetic, directed numbers

Down

Across

1. the result of subtraction
5. the increment by which the numbers along the axes of a graph change
6. to combine two or more shapes to create a new shape
7. the result of addition
11. 1 ___is equivalent to 16 ounces
12. any mathematical process such as addition, subtraction, multiplication, or division
14. a group of related facts (equations) that use the same numbers but in different order
17. a flat shape with three or more straight sides
18. the number below the fraction bar that tells the number of equal parts in the whole
19. the way a number is written to show the place value of each digit
21. 1 _____ is equivalent to 4 cups
27. the result of multiplication
28. the amount of space inside a closed two-dimensional figure
30. a number that names equal parts of a whole
32. an operation used to separate a number of items into equal-sized groups
33. the distance around a two-dimensional shape; found by adding the lengths of the sides
34. 12_____is equivalent to 1 foot
36. to repeatedly add the same number a certain amount of times; used to find the total number of items in equal-sized groups
39. the shorter hand on an analog clock
41. an explanation of what each symbol in a picture graph represents
42. a fraction with a numerator of 1
44. any characteristic of an object or shape
45. a unit of time equal to 60 minutes
48. to decide if one number is greater than, less than, or equal to another number
50. a table that indicates how often something occurs in a set of data
51. 1 ____ is equivalent to 3 feet
53. 1 ____ is equivalent to 2 cups
54. rule: 4 sides and 4 angles
55. a set of objects arranged in equal rows and equal columns

Down

2. 1____ is equivalent to 12 inches
3. two or more fractions that name the same part of a whole or the same point on a number line
4. 1 ____ is equivalent to 4 quarts
8. 4____ is equivalent to 1 quart
9. the measurement that tells how heavy an object is
10. the number that is divided by another number; the largest number in a division equation
11. the value assigned to a digit based on its position in a number
13. 16_____ is equivalent to 1 pound
15. the time that has passed between a start time and an end time
16. to compose or decompose ones, tens, or hundreds
20. a set of collected information
22. a quadrilateral with opposite sides parallel and equal in length
23. to give an approximate number or answer based on mathematical thinking
24. the longer hand on an analog clock
25. a mathematical statement that uses an equal sign to show that two expressions have the same value
26. the result of division
29. rule: must have 4 equal sides
31. to separate into equal groups and find the number in each group or the number of groups
35. the number above the fraction bar that tells the number of equal parts that are being described
37. the amount a container can hold; can be measured in the same units as liquid volume
38. to break apart a shape into smaller shapes
40. a unit of time equal to 60 seconds
43. always the same distance apart
46. to approximate the value of a number by finding the nearest ten, hundred or other place value.
47. a number that is multiplied
49. rule: must have 4 right angles
52. the number by which another number is divided; how we split the number

Across

1. The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept. A way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable.
3. A form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely.
6. A type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. It stays the same shape and size, but the figures may be turned in different directions.
9. A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries.
11. Flipping an object about a line without changing its size or shape. It may occur in a point, a line, or a plane.
12. Numbers that are a set of whole numbers and can be used for counting and ordering. It does not include 0 and fractional numbers.
15. A symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power. Also known as the power of a number.
17. Algebraic expression that gives the distances between pairs of points in terms of their coordinates. These points can be in any dimension.
20. A term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized.

Down

1. A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable. it involves finding the value of x-variable in terms of y-variable and then substituting or replacing the value of x-variable in the second equation
2. The measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
4. It helps divide something or give a share or part of something. It is a property of multiplication used in addition and subtraction.
5. A general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the pre-Image and the final shape.
7. It is the longest side of a right triangle. It's also the side opposite the right angle.
8. A set of numbers that include natural numbers and 0. Negative and fractional numbers are not included.
10. The sum of the squared sides of a right triangle equals the length of the hypotenuse squared. If you know the length of any 2 sides of a right triangle you can use it to find the length of the third side.
13. Whole numbers that can be positive, negative or zero. They can’t be a fractional number.
14. It is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. It can be made by dividing an integer with an integer.
16. It is a real number that cannot be represented as a simple fraction. These cannot be expressed in the form of a ratio, such as p/q, where p and q are integers.
18. It uses two or more numbers to compare. It indicates how many times one number contains another.
19. Represented as a numerical value, which defines a part of a whole. It can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Across

2. Use the ________ method to solve for missing values in proportions
4. The answer to a multiplication problem
7. The distance from the center of a circle to the edge
15. The number that shows up the most in a set of data
16. You must always _______ fraction in order for it to be in it's smallest form
17. The answer to an addition problem
21. An angle that is larger than 90 degrees but less than 180 degrees
22. The opposite of a number (-2 and 2)
24. This property has a number on the outside of parentheses and multiplies by every term on the inside
25. Money that is taken off of a bill
26. The average of a set of data found when you add all the numbers and divide by how many numbers there were
27. 7 is the __________ _______ of 49
30. To find the area of a triangle, you must multiply the base and height and divide it by _____
31. If two fractions are equivalent to eachother, they are said to be ___________
32. A letter that represents a number
34. A small number that shows how many times to multiply a base by
35. The difference between the largest number and the smallest number
39. Extra money you have to pay on objects
43. The answer to a subtraction problem
44. The top part of a fraction
45. > means _______
48. This property changes the order of numbers and doesn't effect the outcome
49. The middle of the data after you order numbers from least to greatest
50. The multiplicative inverse of a fraction (1/3 and 3/1)
52. An angle that is greater than 0 degrees but less than 90 degrees
54. Box and ________ plot shows the spread of data including range, median, and quartiles
56. The distance around the circle
57. Angles that add up to 180 degrees
58. A fraction that compares two quantities in which the denominator is 1

Down

1. The point where a line hits the y-axis
3. The space inside of a two-dimensional shape
5. The amount of space a shape takes up in a three-dimensional object
6. < means________
8. Property that has a number multiply by 1 or add 0 and it doesn't change the outcome
9. Type of numbers on the right side of a number line
10. The positive distance a number is away from zero
11. The number that multiplies by a variable
12. A __________ common factor that shows the largest number that can go into two or more numbers
13. A type of display to represent data with dots
14. The answer to a division problem
15. A type of number that has a whole number and a fraction
18. The amount of space around an object, but not the inside of the object
19. 3 interior angles add up together to get 180 degrees in this shape
20. The bottom part of a fraction
23. Property where the order of the numbers do not change but the parentheses do
28. Angles that add up to 90 degrees
29. Numbers that include 0, counting numbers, and their opposites
33. The distance across the center of a circle from one side to the other
36. The distance around an object
37. The center of a coordinate plane (0,0)
38. Numbers that show products of numbers (3, 6, 9, 12...)
40. The amount of diameters it takes to wrap around the outside of a circle (3.14)
41. A type of symbol to compare a number to another (less than, greater than, etc)
42. You multiply a decimal by 100 to find the ________
46. The bar in a fraction means to _______ the numerator by the denominator
47. An angle that measures 180 degrees
51. The number that is by itself in an expression or equation
53. 360 degrees creates a __________
55. The steepness of a line

Across

1. quantity that expresses a part of a whole object or of a group of objects

Down

Across

4. Large marsupial
5. Likes to chase mice

Down

1. Has a trunk
2. Flying mammal
3. Man's best friend

Across

4. A series which represents a function as a polynomial that goes on forever and has no highest power of x.
6. A method for finding the derivative of a composition of functions.
8. A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions.
12. The power series in x – a for a function f.
14. A formula for the derivative of the product of two functions.
15. The formula for finding the derivative of a power of a variable.
18. The rate of change of velocity over time.
21. A notation using the Greek letter sigma (Σ) that allows a long sum to be written compactly.
22. A graph or part of a graph which looks like a right-side up bowl or part of an right-side up bowl.
23. A graph or part of a graph which looks like an upside-down bowl or part of an upside-down bowl.
24. A convergence test used when terms of a series contain factorials and/or nth powers.
26. A function which gives the slope of a curve.
27. A convergence test which compares the series under consideration to a known series
31. The rate of change at a particular moment.
36. The sum of the terms of a sequence. For example, the series for the sequence 1, 3, 5, 7, 9
40. The rate of change of the position of an object.
41. To approach a finite limit.
43. A "number" which indicates a quantity, size, or magnitude that is larger than any real number.
44. The series that do not diverge.
45. A series that has no last term.
46. Function A function with a connected graph.
47. A formula for the derivative of the quotient of two functions.
48. A line that touches a curve at a point without crossing over.

Down

1. A sharp point on a curve.
2. The hardest math subject you will ever take.
3. A point (x, y) on the graph of a function at which the derivative is either 0 or undefined.
5. An approximation of the definite integral .
7. A convergence test used when series terms contain nth powers.
9. The process of writing any proper rational expression as a sum of proper rational expressions.
10. A convergence test for alternating series.
11. The product of a given integer and all smaller positive integers. Ex: n!
13. A technique for finding the volume of a solid of revolution.
16. The lowest point in a particular section of a graph.
17. A formula used to model the vertical motion of an object that is dropped, thrown straight up, or thrown straight down.
19. The highest point in a particular section of a graph.
20. The math class that is “suppose” to prepare you for Calculus.
25. The lowest point over the entire domain of a function or relation.
28. A curve that is smooth and contains no discontinuities or cusps.
29. A system of equations with more than one dependent variable.
30. The appearance of a graph as it is followed farther and farther in either direction.
31. A formula used to integrate the product of two functions.
32. The derivative of a derivative.
33. Either a limit from the left or a limit from the right.
34. A hole in a graph.
35. The highest point over the entire domain of a function or relation.
37. A series of the form or , where p > 0.
38. To fail to approach a finite limit.
39. A point at which the graph of a relation or function is not connected.
42. A line or curve that the graph of a relation approaches more and more closely the further the graph.
49. The value that a function or expression approaches as the domain variable(s) approach a specific value.

Across

2. This word should be capitalized, without quotation marks when referring to the Scriptures in the Old or New Testament
5. These are amounts less than one that need to be spelled out using hyphens between the words (Ex.two-thirds, three-fourths)
8. A person residing away from the nation in which he or she is a citizen
9. In general use lowercase north, south, southwest when referring to compass ___________
10. Should contain a city name, entirely in capital letters, followed in most cases by the name of the state, county, or territory where the city is located
12. As a verb means to influence something
16. Use ________ to make sure or give confidence
19. Abbreviation for Exchange Traded Fund; Security that tracks a benchmark as a mutual fund does but trades throughout market days like a stock on the exchange
20. AP news reports must use __________ for facts not gathered or confirmed on its own
22. Describes an exchange rate that is allowed to fluctuate in response to supply and demand in the foreign markets
24. When referring to a company, you must use the full ________ _________ somewhere in the story; do not use comma before Inc. or Ltd.
26. Always avoid placing guilt when referring to someone who has been placed under ________ or charged with a crime
27. Capitalize U.S. _________ when referring to the building in Washington
28. The news gathering cooperative dating from 1846
31. Use before vowel sounds
33. Is not a word and should only be used when quoting or in special contexts
34. The word "_________" on its own is not capitalized but it is capitalized as a part of a proper name
35. Use ________ for references to insurance
36. Use before consonant sounds
37. The study of the relationship between organisms and their surroundings, not synonymous with environment
38. Never use this symbol as it rarely translates and in many cases cannot be seen by AP or other newspaper computers

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1. A person who has required the full civil rights of a nation
3. Someone who is convicted of murder in a court of law
4. Capitalize North, South, Southwest when they are referring to a ___________
5. A government controlled company that helps provide money for the US housing market by buying residential mortgages and packaging pools of those loans for sale to investors
6. Minor offense against the law
7. Ford, Chrysler, and General Motors are the ____________
11. As a verb means to cause; as a noun means the result of something
13. A serious crime
14. A case the state or federal government brings against an individual charged with a crime
15. Anyone who kills with a motive of any kind
17. Always capitalize both letters though it's a title not a name, it's the only thing used when referring to him
18. Dr., Mrs., and Mr. are all examples of __________
21. Money or property that is held to be forfeited if an accused individual fails to appeal for a criminal trial
23. Term denoting that an individual was born in a given location
24. City where a seat of government is located; do not capitalize
25. Someone who kills a politically important or prominent person
26. Refers to the entire region around the Appalachian Mountains
28. Is not a formal title and should not be capitalized
29. A case in which and individual, business, or agency of government seeks damages or relief from another
30. List the subject first when referring to a ____________
32. The national office of an ambassador in a foreign country and the office that handles the political relations of one nation with another
33. Use arabic numerals instead of words when describing ________
39. Use ________ to mean guarantee

Across

3. Represented as a numerical value, which defines a part of a whole. It can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
7. It helps divide something or give a share or part of something. It is a property of multiplication used in addition and subtraction.
8. Numbers that can be positive, negative or zero. They can’t be a fractional number.
10. A form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely.
11. Flipping an object about a line without changing its size or shape. It may occur in a point, a line, or a plane.
12. A term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized.
13. A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries.
14. A general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the pre-Image and the final shape.
16. The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept. A way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable.
18. It is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. It can be made by dividing an integer with an integer.
19. Numbers that are a set of whole numbers and can be used for counting and ordering. It does not include 0 and fractional numbers.
20. The sum of the squared sides of a right triangle equals the length of the hypotenuse squared. If you know the length of any 2 sides of a right triangle you can use it to find the length of the third side.

Down

1. A set of numbers that include natural numbers and 0. Negative and fractional numbers are not included.
2. It is a real number that cannot be represented as a simple fraction. These cannot be expressed in the form of a ratio, such as p/q, where p and q are integers.
4. A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable. it involves finding the value of x-variable in terms of y-variable and then substituting or replacing the value of x-variable in the second equation
5. Algebraic expression that gives the distances between pairs of points in terms of their coordinates. These points can be in any dimension.
6. A type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. It stays the same shape and size, but the figures may be turned in different directions.
9. The measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
15. It uses two or more numbers to compare. It indicates how many times one number contains another.
17. A symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power. Also known as the power of a number.

Across

4. A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable. it involves finding the value of x-variable in terms of y-variable and then substituting or replacing the value of x-variable in the second equation
7. A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries.
10. It is a real number that cannot be represented as a simple fraction. These cannot be expressed in the form of a ratio, such as p/q, where p and q are integers.
11. A type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. It stays the same shape and size, but the figures may be turned in different directions.
14. A set of numbers that include natural numbers and 0. Negative and fractional numbers are not included.
18. Represented as a numerical value, which defines a part of a whole. It can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
19. The measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
20. It is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. It can be made by dividing an integer with an integer.

Down

1. Flipping an object about a line without changing its size or shape. It may occur in a point, a line, or a plane.
2. Algebraic expression that gives the distances between pairs of points in terms of their coordinates. These points can be in any dimension.
3. A form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely.
5. A general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the pre-Image and the final shape.
6. Whole numbers that can be positive, negative or zero. They can’t be a fractional number.
8. The sum of the squared sides of a right triangle equals the length of the hypotenuse squared. If you know the length of any 2 sides of a right triangle you can use it to find the length of the third side.
9. A symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power. Also known as the power of a number.
12. A term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized.
13. It helps divide something or give a share or part of something. It is a property of multiplication used in addition and subtraction.
15. The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept. A way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable.
16. Numbers that are a set of whole numbers and can be used for counting and ordering. It does not include 0 and fractional numbers.
17. It uses two or more numbers to compare. It indicates how many times one number contains another.

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1. the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it.
4. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
7. not expressible as a ratio of two integers, an having an infinite and nonrecurring expansion when expressed as a decimal
8. the amount of space occupied, within the sphere.
9. if there exists at least one line that divides a figure into two halves such that one half is the mirror image of the other half.
12. a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
14. expressible or containing quantities that are expressible, as a ratio of whole numbers.
16. identical in form;coinciding exactly when superimposed
23. a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
24. a theorem attributed to Pythagoras states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
25. a line that passes through two lines in the same plane at two distinct points in the geometry.
26. a number that isn’t a fraction; a whole number.
27. a number without fractions: an integer
30. a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
31. the longest side of a right triangle, opposite the right triangle.
33. a positive whole number ( 1,2,3 etc.), sometimes with the inclusion of zero.
34. a set of values that show an exact position.
35. the product of a rational number multiplied by itself.
36. formed when two lines intersect each other at a single point.
37. a quantity forming or expressed as the root of another
38. the angles occupy the same relative position at each intersection where a straight line crosses two others.
39. a system of writing numbers as the product of a number between 1 and 10 and a power of 10.
40. the number which produces a given number when cubed.

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2. the act or action of enlarging, expanding, or widening
3. defines the space or the capacity of the cone.
5. ratio between the scale of a given original object and a new object
6. a number which produces a specified quantity when multiplied by itself.
10. consists of three positive integers a, b, and c, such that a2 + b2 = c2
11. the ratio between the scale of a given original object and a new object similar
13. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression.
15. one pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines.
17. a number which produces a specified quantity when multiplied by itself.
18. two angles that are on the same side of the transversal and on the interior of (between) the two lines.
19. two angles that are exterior to the parallel lines and on the same side of the transversal line
20. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
21. the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line
22. a number that is equal to the number, multiplied by itself, three times.
28. the action of rotating around an axis or center.
29. the union of both rational and irrational numbers.
32. each of the pairs of opposite angles is made by two intersecting lines.

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2. This is a number you get by multiplying a given number.
5. Using a __________, we can estimate 0.47 as close to 0.5 for easier calculations.
8. A __________ is a pair of numbers that shows the location of a point on a grid.
10. The __________ of 7 and 5 is 12.
11. When a number becomes smaller, it is said to __________.
13. The sixth digit to the right of the decimal point is called the __________ place.
14. The __________ of 20 by 4 equals 5.
15. A point on a grid is located using __________ such as (3, 4).
18. The __________ of a digit shows its value based on its position in a number.
20. The property of __________ means that both sides of an equation must be the same.
24. A __________ is a diagram used to break a number into its prime factors.
25. A __________ is a number without fractions or decimals.
27. A __________ is a set of horizontal and vertical lines used to locate points.
28. A __________ number is less than zero.
29. The __________ between 10 and 3 is 7.
32. A __________ is a letter or symbol used to represent an unknown number in math.
33. In the division problem 45 ÷ 9 = 5, the number 9 is the __________.
34. An __________ is a whole number that can be positive, negative, or zero.
35. An __________ is a mathematical statement that shows two expressions are equal.
37. The __________ property says that you can add or multiply numbers in any order and get the same result.
39. A __________ is a number that has only two factors: 1 and itself.
40. The x-axis and y-axis are the two __________ of a coordinate plane.
42. A __________ line runs up and down.
43. The __________ is the result of multiplying two or more numbers.
47. __________ are used to group operations and show what to calculate first in a math problem.
48. __________ is a method of rounding numbers by focusing only on the largest place value.

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1. A __________ line runs left to right.
3. Two expressions that have the same value are called __________.
4. A number with digits to the right of a point is called a __________.
6. A __________ is a repeated arrangement of numbers, shapes, or symbols that follows a specific rule.
7. An __________ is a mathematical phrase with numbers, variables, and operations but no equal sign.
9. A __________ is a number that has more than two factors.
12. In the division problem 45 ÷ 9 = 5, the number 45 is the __________.
13. The __________ of 6 and 4 is 24.
16. The __________ is the smallest multiple that two or more numbers share.
17. A __________ is a number that fits exactly into another number without leaving a remainder.
19. Writing a number as the sum of each digit times its place value is called __________.
21. __________ are numbers that are easy to compute with mentally, such as 10, 20, or 50.
22. The __________ is the answer to a division problem.
23. The __________ of 6 and 8 is 14.
26. If a division problem does not divide evenly, the leftover part is called the __________.
27. The __________ is the largest number that divides two or more numbers without a remainder.
30. The __________ of 15 and 8 gives 7.
31. In the number 5,678.123, the comma separates the __________, showing groups of three digits.
36. When a number becomes larger, it is said to __________.
38. These are processes performed on numbers or values to calculate, manipulate, or solve mathematical expressions.
41. __________ show repeated multiplication, such as 3² = 3 × 3.
44. René __________ developed the system for plotting points on a coordinate plane.
45. A __________ number is greater than zero.
46. The point where the x-axis and y-axis intersect is called the __________.

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2. ,The volume of cylinder is the amount of space in it.
3. ,a number that can be expressed as the product of an integer by itself or as the second exponent of an integer
4. ,a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses
5. ,The longest side of a right triangle, opposite the right angle.
7. ,A square root of a number is a value that, when multiplied by itself, gives the number.
9. ,Two shapes are Similar when one can become the other after a resize, flip, slide or turn.
10. ,A number that is equal to the number, multiplied by itself, three times.
14. ,each of the pairs of opposite angles made by two intersecting lines.
17. ,dilation means changing the size of an object without changing its shape
19. ,A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10
23. ,the formula for the volume of a cone is ⅓ 𝜋r2h cubic units, where r is the radius of the circular base and h is the height of the cone.
24. ,the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
26. ,the number which produces a given number when cubed
27. ,The ratio between the scale of a given original object and a new object
28. ,a real number that can NOT be made by dividing two integers
31. ,A set of 3 positive numbers that fit
33. ,a coordinate plane is a tool used for graphing points, lines, and other objects.
34. ,A square root of a number is a value that, when multiplied by itself, gives the number.
37. ,formed when two lines intersect each other at a single point
38. ,A circular movement
39. ,(line of Symmetry)if there exists at least one line that divides a figure into two halves such that one half is the mirror image of the other half.
40. ,A line that crosses at least two other lines.
41. ,transformation means to

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1. ,alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
6. ,two angles that are on the interior of (between) the two lines and specifically on the same side of the transversal.
8. ,A transformation of a shape in a plane that preserves length
11. ,a type of rigid geometrical transformation that maintains the object's size and shape
12. ,two angles that are exterior to the parallel lines and on the same side of the transversal line
13. ,the whole numbers from 1 upwards:
15. ,positive or negative, large or small, whole numbers, fractions or decimal numbers are all Real Numbers.
16. ,The volume of sphere is the amount of space occupied, within the sphere.
18. ,a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
20. ,corresponding sides are the sides that are in the same position in any different 2-dimensional shapes.
21. ,alternate interior angles are the angles formed when a transversal intersects two coplanar lines.
22. ,an integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
25. ,the angles which are formed at corresponding corners with the transversal
29. ,A square root, cube root, etc
30. ,The same shape and size
32. ,a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
35. ,A number that can be made as a fraction of two integers
36. ,any of the numbers

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1. d=2r
7. a positive whole number (1, 2, 3, etc.), sometimes with the inclusion of zero.
9. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
10. a line that passes through two lines in the same plane at two distinct points in the geometry.
11. a number that is not a fraction; a whole number.
14. a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
16. the longest side of a right triangle, opposite the right angle.
19. a type of rigid geometrical transformation that maintains the object's size and shape
20. when one can become the other after a resize, flip, slide or turn.
22. the number which produces a given number when cubed.
23. formed when two lines intersect each other at a single point.
27. the product of a rational number multiplied by itself.
29. a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.
31. the amount of space occupied by a cone in a three-dimensional plane
32. a transformation of a shape in a plane that preserves length
35. the amount of space in it
37. a tool used for graphing points, lines, and other objects
39. Two angles that are exterior to the parallel lines and on the same side of the transversal line
40. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression
41. the amount of space occupied, within the sphere

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2. not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal.
3. An image will reflect through a line, known as the line of reflection.
4. a number which produces a specified quantity when multiplied by itself.
5. one of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines.
6. two angles that are on the interior of (between) the two lines and specifically on the same side of the transversal.
8. means to change
12. where a, b and c are the three positive integers.
13. the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
15. changing the size of an object without changing its shape
17. a way of expressing numbers that are too large or too small to be conveniently written in decimal form
18. two numbers, or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane
21. each of the pairs of opposite angles made by two intersecting lines.
24. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
25. the ratio between the scale of a given original object and a new object
26. a number without fractions; an integer.
28. a number which produces a specified quantity when multiplied by itself
30. the sides that are in the same position in any different 2-dimensional shapes
33. of the root of a number or quantity.
34. (of figures) identical in form; coinciding exactly when superimposed.
36. a number that is equal to the number, multiplied by itself, three times
38. ( of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers.

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6. A coordinate plane is a tool used for graphing points, lines, and other objects
8. A type of symmetry where one half is the reflection of the other half.
15. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
16. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
18. comparable in certain respects, typically in a way which makes clearer the nature of the things compared
21. the action of rotating around an axis or center
23. a positive whole number (1, 2, 3, etc.), sometimes with the inclusion of zero
27. two angles that are on the interior of (between) the two lines and specifically on the same side of the transversal
28. a rational number is a number that can be expressed as the quotient or fraction
30. The product of two equal factors is the "square" of the number.
32. Exponents is a number that is times a number is multiplied by itself
33. The cube root factor is when you multiply by itself three times to get the number.
34. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
38. a number without fractions; an integer
39. A sphere is symmetrical, round in shape.
40. A line that crosses at least two other lines
41. Two shapes are Similar when one can become the other after a resize, flip, slide or turn. Resizing

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1. the ratio between the scale of a given original object and a new object
2. the action or condition of becoming or being made wider, larger, or more open
3. Corresponding sides are the sides that are in the same position in any different 2-dimensional shapes
4. Two angles that are exterior to the parallel lines and on the same side of the transversal line
5. a radical expression, is an expression containing a square root.
7. a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure
9. a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
10. the amount of space occupied by a cone in a three-dimensional plane.
11. one of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines.
12. a number which produces a specified quantity when multiplied by itself
13. the one that we draw from top to bottom.
14. a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface
17. the longest side of a right triangle, opposite the right angle.
19. A Pythagorean triple consists of three positive integers
20. Pair) Ordered pairs are written in parentheses (x-coordinate, y-coordinate)
22. The product of three equal factors is the "cubing of the number"
24. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
25. a number that is not a fraction; a whole number
26. exactly equal shape and size
29. actually existing as a thing or occurring in fact; not imagined or supposed.
31. the throwing back by a body or surface of light, heat, or sound without absorbing it.
35. a number which produces a specified quantity when multiplied by itself.
36. formed when two lines intersect each other at a single point.
37. is a number that cannot be expressed as a fraction for any intergers

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1. A ratio of two numbers. The upper number is called Numerator. The lower part is known as the Denominator.
3. One is all about chance. Whereas the other is more about how we handle various data.
7. It comprises operations such as Addition, Subtraction, Multiplication and Division.
10. It is the relationship between the sides and angles of a right-angled triangle. It involves 6 functions of angles.
11. It has two basic operations, differentiation and integration, and is a tool used by engineers to determine such quantities as rates of change and areas.
13. It deals with the study of Mathematical structures. It deals with objects that can have distinct separate values. It is also called Decision Mathematics or finite Mathematics.
16. A stream of mathematics that concerns the study of finite discrete structures. It deals with the study of permutations and combinations.
17. It is organized data which possesses some meaningful application for the receiver. It is the processed data on which actions and decisions are based. It accesses and processes information digitally.
20. A branch of mathematics that deals with the measurements and properties of shapes.
21. It deals with approximation of certain mathematical objects (numbers or functions) by other objects which are easier to understand or to handle. It started about three hundred years ago but we use a more updated version.
22. It explains how a strategic game is played. It determines the way or order in which the players should make moves.
23. It is a mathematical symbol representing the concept of going on and on.
24. A mathematics that has a whole number and the fractional part separated by a point.
25. It is a network is a collection of entities, and the connections between them. Mathematically speaking, a network can be visually represented by a graph and interrogated using the field.
26. A collection of distinct objects forming a group.

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2. It is the study of computers and computational systems. It is a broad field which includes everything from the algorithms that make up software to how software interacts with hardware to how well software is developed and designed.
4. It is concerned with investigating the connections between a function and its representation in frequency of pitch of music notes.
5. One is an itemized collection of elements with repetitions and the other is the sum of all the elements.
6. It is applying analytical methods to help make better management decisions. It can be defined as the science of decision-making.
8. One generally refers to the process of using mathematical methods or formulas to determine a numerical result or estimate. The other specifically refers to performing calculations using an electronic device.
9. It is about properties of spaces that are invariant under any continuous deformation. It is sometimes called rubber-sheet geometry because the objects can be stretched and contracted like rubber but cannot be broken.
12. It means reasoning. It involves negations, conjunctions, and disjunctions.
14. It is a branch of mathematical analysis that involves the study of real and complex numbers.
15. A branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions and involves variables.
18. It is a branch of mathematics which helps to study the set of positive whole numbers which are also called the set of natural numbers and sometimes called higher arithmetic.
19. A mathematics that is any system, man-made, physical, or biological, that changes in time. As time passes the point moves, sweeping out a curve in the state space. It is called a trajectory of the system.

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2. a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis.
4. the product of a rational number multiplied by itself.
6. (of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal.
7. The √ symbol that is used to denote square root or nth roots.
9. the number which produces a given number when cubed.
10. the longest side of a right triangle, opposite the right angle.
14. a system of writing numbers as the product of a number between 1 and 10 and a power of 10
18. a positive whole number (1, 2, 3, etc.), sometimes with the inclusion of zero.
21. the angles which occupy the same relative position at each intersection where a straight line crosses two others.
23. a number that is equal to the number, multiplied by itself, three times.
24. the action or condition of becoming or being made wider, larger, or more open.
25. a transformation representing a flip of a figure.
27. The root of a number is defined as the value, which gives the number when it is multiplied by itself.
29. a line that crosses at least two other lines.
30. moves a shape left, right, up, or down but does not turn.
32. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression.
36. A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
37. one of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines.
38. a2+b2 = c2 where a, b and c are the three positive integers. These triples are represented as (a,b,c).
40. Two figures are said to be similar if they are the same shape
41. a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
42. the sides that are in the same position in any different 2-dimensional shapes.
43. a number without fractions; an integer.

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1. each of the pairs of opposite angles made by two intersecting lines.
3. two angles that are exterior to the parallel lines and on the same side of the transversal line
5. gives the number when it is multiplied by itself.
8. the amount of space in a cylinder.
11. an X)
12. the ratio between the scale of a given original object and a new object,
13. the amount of space occupied by a cone in a three-dimensional plane
15. a number that is not a fraction; a whole number.
16. there exists at least one line that divides a figure into two halves such that one half is the mirror image of the other half.
17. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
19. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
20. numbers that include both rational and irrational numbers.
22. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
26. identical in form; coinciding exactly when superimposed.
28. of Symmetry)
31. A rational expression is the ratio of two polynomials.
33. two angles that are on the same side of the transversal and on the interior of (between) the two line.
34. the amount of space occupied, within a sphere
35. formed when two lines intersect each other at a single point.
39. a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

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6. A coordinate plane is a tool used for graphing points, lines, and other objects
8. A type of symmetry where one half is the reflection of the other half.
15. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
16. the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
18. comparable in certain respects, typically in a way which makes clearer the nature of the things compared
21. the action of rotating around an axis or center
23. a positive whole number (1, 2, 3, etc.), sometimes with the inclusion of zero
27. two angles that are on the interior of (between) the two lines and specifically on the same side of the transversal
28. a rational number is a number that can be expressed as the quotient or fraction
30. The product of two equal factors is the "square" of the number.
32. Exponents is a number that is times a number is multiplied by itself
33. The cube root factor is when you multiply by itself three times to get the number.
34. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
38. a number without fractions; an integer
39. A sphere is symmetrical, round in shape.
40. A line that crosses at least two other lines
41. Two shapes are Similar when one can become the other after a resize, flip, slide or turn. Resizing

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1. the ratio between the scale of a given original object and a new object
2. the action or condition of becoming or being made wider, larger, or more open
3. Corresponding sides are the sides that are in the same position in any different 2-dimensional shapes
4. Two angles that are exterior to the parallel lines and on the same side of the transversal line
5. a radical expression, is an expression containing a square root.
7. a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure
9. a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
10. the amount of space occupied by a cone in a three-dimensional plane.
11. one of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines.
12. a number which produces a specified quantity when multiplied by itself
13. the one that we draw from top to bottom.
14. a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface
17. the longest side of a right triangle, opposite the right angle.
19. A Pythagorean triple consists of three positive integers
20. Pair) Ordered pairs are written in parentheses (x-coordinate, y-coordinate)
22. The product of three equal factors is the "cubing of the number"
24. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
25. a number that is not a fraction; a whole number
26. exactly equal shape and size
29. actually existing as a thing or occurring in fact; not imagined or supposed.
31. the throwing back by a body or surface of light, heat, or sound without absorbing it.
35. a number which produces a specified quantity when multiplied by itself.
36. formed when two lines intersect each other at a single point.
37. is a number that cannot be expressed as a fraction for any intergers

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1. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
6. the amount of space occupied, within the sphere.
7. a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
11. a positive whole number
13. pair of matching angles or sides that are in the same spot in two different shapes.
15. Reflective symmetry is when a shape or pattern is reflected in a line of symmetry a mirror line.
17. when two figures have the same shape but their sizes are different
18. a transformation, which is used to resize the object.
23. A radical expression is an expression containing a square root.
25. the amount of space occupied by a cone in a three-dimensional plane
26. (of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.
29. general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
30. a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
31. Two angles that are exterior to the parallel lines and on the same side of the transversal line
32. A perfect cube of a number is a number that is equal to the number, multiplied by itself, three times.
34. the union of both rational and irrational numbers.
35. where a, b and c are the three positive integers
37. a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
38. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression
39. formed when two lines intersect each other at a single point.

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2. A mirror image of the shape.
3. the longest side of a right triangle, opposite the right angle.
4. a number without fractions; an integer a number that is not a fraction; a whole number.
5. the product of a rational number multiplied by itself.
8. The same shape and size.
9. the number which produces a given number when cubed.
10. the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.
12. each of the pairs of opposite angles made by two intersecting lines.
14. Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
16. a two-dimension surface formed by two number lines.
19. angles formed when a transversal intersects two coplanar lines.
20. a number which produces a specified quantity when multiplied by itself.
21. Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.
22. a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses
24. a number which produces a specified quantity when multiplied by itself.
27. A scale factor is defined as the ratio between the scale of a given original object and a new object.
28. The amount of space in it
33. the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
36. a line that passes through two lines in the same plane at two distinct points in the geometry.

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2. A technique for finding the volume of a solid of revolution; a generalized version of the disk method.
5. A point at which the graph of a relation or function is not connected.
6. A method for finding the derivative of a composition of functions.
8. An iterative process using derivatives that can often (but not always) be used to find zeros of a differentiable function.
10. The branch of mathematics dealing with limits, derivatives, definite integrals, indefinite integrals, and power series.
11. The x-value of a critical point.
14. The formula for finding the derivative of a power of a variable.
15. The opposite of the derivative of a function.
18. A discontinuity for which the graph steps or jumps from one connected piece of the graph to another.
21. A series with a constant ratio between successive terms.
22. Another term for 2nd derivative.
23. Another term for velocity.
25. A function which gives the slope of a curve; that is, the slope of the line tangent to a function.
29. Using u-substitution to find antiderivative.
31. A line which passes through at least two points of a curve.
33. The lowest point in a particular section of a graph.
37. A function (or relation) written using (x, y) form.
39. The integral of a function.
41. Another term for third derivative.
43. A method for approximating a definite integral using linear approximations of f.
44. Another name for the 2nd derivative.
45. An integral which is evaluated over an interval of specific numbers.
46. A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions, which is done by finding the limit of the derivatives of the numerator and denominator.
47. To fail to approach a finite limit.
49. A model for decay of a quantity for which the rate of decay is directly proportional to the amount present.

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1. A formula for the derivative of the product of two functions.
3. The lowest point over the entire domain of a function or relation.
4. The value that a function or expression approaches as the domain variable(s) approach a specific value.
7. Letter of the Greek alphabet meaning "change".
9. A formula used to integrate the product of two functions.
12. An approximation of a definite integral.
13. Another term for jerk.
16. A line that touches a curve at a point without crossing over.
17. A model for growth of a quantity for which the rate of growth is directly proportional to the amount present.
19. The integral of one function minus another.
20. The highest point in a particular section of a graph.
24. A point (x, y) on the graph of a function at which the derivative is either 0 or undefined.
26. A curve that is smooth and contains no discontinuities or cusps.
27. The family of functions that have a given function as a common derivative. The indefinite integral of f(x) is written∫ f(x) dx.
28. A three-dimensional figure.
30. The change in the value of a quantity divided by the elapsed time.
32. To approach a finite limit.
34. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.
35. Another term for acceleration.
36. The way to get the antiderivative of a function is to take its "blank"
38. A formula for the derivative of the quotient of two functions.
40. Used in integration by substitution.
42. This is done by finding the limit of the derivatives of the numerator and denominator.
48. A shape or solid which has an indentation or "cave".
50. A sharp point on a curve; functions with one are not differentiable.

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5. Term denoting that an individual was born in a given location
7. A government controlled company that helps provide money for the US housing market by buying residential mortgages and packaging pools of those loans for sale to investors
8. Capitalize U.S. _________ when referring to the building in Washington
11. Ford, Chrysler, and General Motors are the ____________
14. The study of the relationship between organisms and their surroundings, not synonymous with environment
15. Anyone who kills with a motive of any kind
16. A case the state or federal government brings against an individual charged with a crime
18. Money or property that is held to be forfeited if an accused individual fails to appeal for a criminal trial
19. Use arabic numerals instead of words when describing ________
20. AP news reports must use __________ for facts not gathered or confirmed on its own
21. Abbreviation for Exchange Traded Fund; Security that tracks a benchmark as a mutual fund does but trades throughout market days like a stock on the exchange
24. When referring to a company, you must use the full ________ _________ somewhere in the story; do not use comma before Inc. or Ltd.
28. Someone who kills a politically important or prominent person
30. Is not a word and should only be used when quoting or in special contexts
31. List the subject first when referring to a ____________
33. Always capitalize both letters though it's a title not a name, it's the only thing used when referring to him
35. Is not a formal title and should not be capitalized
37. City where a seat of government is located; do not capitalize
38. Use ________ to mean guarantee
39. Use ________ to make sure or give confidence
40. As a verb means to cause; as a noun means the result of something
41. The national office of an ambassador in a foreign country and the office that handles the political relations of one nation with another

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1. Use ________ for references to insurance
2. Capitalize North, South, Southwest when they are referring to a ___________
3. A serious crime
4. This word should be capitalized, without quotation marks when referring to the Scriptures in the Old or New Testament
6. These are amounts less than one that need to be spelled out using hyphens between the words (Ex.two-thirds, three-fourths)
7. Describes an exchange rate that is allowed to fluctuate in response to supply and demand in the foreign markets
9. Use before consonant sounds
10. A case in which and individual, business, or agency of government seeks damages or relief from another
12. The news gathering cooperative dating from 1846
13. Dr., Mrs., and Mr. are all examples of __________
17. Use before vowel sounds
22. Someone who is convicted of murder in a court of law
23. As a verb means to influence something
25. Refers to the entire region around the Appalachian Mountains
26. Minor offense against the law
27. A person residing away from the nation in which he or she is a citizen
29. Always avoid placing guilt when referring to someone who has been placed under ________ or charged with a crime
32. In general use lowercase north, south, southwest when referring to compass ___________
33. Should contain a city name, entirely in capital letters, followed in most cases by the name of the state, county, or territory where the city is located
34. The word "_________" on its own is not capitalized but it is capitalized as a part of a proper name
36. Never use this symbol as it rarely translates and in many cases cannot be seen by AP or other newspaper computers
37. A person who has required the full civil rights of a nation

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2. Is not a word and should only be used when quoting or in special contexts
4. City where a seat of government is located; do not capitalize
5. Minor offense against the law
10. List the subject first when referring to a ____________
12. A serious crime
13. Should contain a city name, entirely in capital letters, followed in most cases by the name of the state, county, or territory where the city is located
15. Is not a formal title and should not be capitalized
16. Use before vowel sounds
18. The news gathering cooperative dating from 1846
20. AP news reports must use __________ for facts not gathered or confirmed on its own
21. Abbreviation for Exchange Traded Fund; Security that tracks a benchmark as a mutual fund does but trades throughout market days like a stock on the exchange
25. Always capitalize both letters though it's a title not a name, it's the only thing used when referring to him
28. When referring to a company, you must use the full ________ _________ somewhere in the story; do not use comma before Inc. or Ltd.
32. Use before consonant sounds
33. Use arabic numerals instead of words when describing ________
34. Use ________ to mean guarantee
35. The study of the relationship between organisms and their surroundings, not synonymous with environment
36. This word should be capitalized, without quotation marks when referring to the Scriptures in the Old or New Testament
37. Anyone who kills with a motive of any kind

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1. Capitalize U.S. _________ when referring to the building in Washington
2. Always avoid placing guilt when referring to someone who has been placed under ________ or charged with a crime
3. A government controlled company that helps provide money for the US housing market by buying residential mortgages and packaging pools of those loans for sale to investors
4. A person who has required the full civil rights of a nation
6. As a verb means to cause; as a noun means the result of something
7. Dr., Mrs., and Mr. are all examples of __________
8. Money or property that is held to be forfeited if an accused individual fails to appeal for a criminal trial
9. Describes an exchange rate that is allowed to fluctuate in response to supply and demand in the foreign markets
11. A person residing away from the nation in which he or she is a citizen
14. These are amounts less than one that need to be spelled out using hyphens between the words (Ex.two-thirds, three-fourths)
16. The word "_________" on its own is not capitalized but it is capitalized as a part of a proper name
17. A case the state or federal government brings against an individual charged with a crime
19. Use ________ for references to insurance
20. Refers to the entire region around the Appalachian Mountains
22. The national office of an ambassador in a foreign country and the office that handles the political relations of one nation with another
23. Term denoting that an individual was born in a given location
24. A case in which and individual, business, or agency of government seeks damages or relief from another
25. In general use lowercase north, south, southwest when referring to compass ___________
26. As a verb means to influence something
27. Use ________ to make sure or give confidence
29. Someone who is convicted of murder in a court of law
30. Someone who kills a politically important or prominent person
31. Never use this symbol as it rarely translates and in many cases cannot be seen by AP or other newspaper computers

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2. When multiplying, and the bases are the same, you add the exponents.
4. The sum of two monomials.
5. The point where the graph crosses the y-axis. In a linear equation of the form y=mx+b. the y-intercept is the constant b.
6. Factor 1 plus the percent rate of change for an exponential growth situation.
7. A function that can be written in standard form ax2+bx+c where a is not zero.
8. B²-4ac (expression under the radical sign in the quadratic formula).
10. Y=mx+b, where m is the slope and b is the y-intercept of the line.
12. Method of factoring that factors out a common binomial factor from two pairs of terms.
19. A symbol, usually a letter, which represents the value(s) of a varying quantity.
22. Y=a(x-h)2 + k
25. Combination of numbers, variables, operation symbols.
27. Y-coordinate of the vertex of a quadratic function if a is less than 0.
29. A solution of an equation.
30. (y₂-y₁)/(x₂-x₁)
33. When dividing, apply the exponent to everything inside the parentheses.
34. Divides parabola into mirror images and passes through vertex.
36. 0 and counting numbers 0,1,2,3...
38. A function that repeatedly multiplies an initial amount by the same positive number.
39. A numerical factor of a term, and it is written in front of the variable.
40. Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative.
42. The graph of a quadratic equations.
43. Growth A situation modeled with a function of the form y=abx where a > 0 and b >1.
44. Whole numbers and their opposites ..-3.-2,-1,0,1,2,3...

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1. Terms that have the same variables raised to the same.
3. A trinomial of the form a2+2ab+b2 or a2-2ab+b2 ; the result of squaring a binomial.
8. 1 minus the percent rate of change, expressed as a decimal, for an exponential decay situation.
9. Y=a(x-p)(x-q)
11. Means that the degrees of its monomial terms decrease from left to right.
13. The process of adding a term to a quadratic expression of the form x2 + bx to make it a perfect square trinomial.
14. An expression of the form a2 - b2. It can be factored as (a+b)(a-b).
15. [-b ± √(b² - 4ac)] / (2a) used to find the solutions of the quadratic equation.
16. Lowest or highest point on a parabola.
17. When multiplying, apply the exponent to everything inside the parentheses.
18. Interest paid on both the principal and the interest that has already been paid.
20. The highest degree of any term in the polynomial.
21. An expression made up of a radical symbol and a radicand.
23. When dividing and the bases are the same, you subtract the exponents.
24. Y-coordinate of the vertex of a quadratic function if a is greater than 0.
26. An equation that can be written in the form ax2 +bx+c.
28. An x-value for which f(x)=0.
31. The sum of three monomials.
32. To find this, multiply the exponents and this is when you have 2 exponents on one base.
35. A combination of numbers, variables, operation symbols and an equation sign.
37. Numbers that represent how many times a base will multiply itself.
41. An expression that is either a number, a variable, or the product of a number and one or more variables with whole number exponents.

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1. a numerical quantity that is not a whole number. Or could be recognized as division of two numbers

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1. Thalès, Relatifs, Statistiques, Equations, Pyramides, Cônes, Fractions, Pavages, Frises, Triangles, Puissances, Cosinus, Reciproque, Calcul, Addition, Soustraction, Division, Multiplication, Racine, Pourcentages, Aire, Volume, Proportionnalité

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1. 2/4+6/4

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2. 5/12+2/8

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2. than

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1. than

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1. one and three fifths plus three two fifths

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3. units Based on multiples of 10 and includes milliliters, liters, milligrams, grams, and kilograms. The metric system is the standard system used in many parts of the word, outside of the United States.
6. scale Also called a balance beam. The weight of the item is placed on one end and the product is placed on the other end until the beam balances.
8. purchased (AP) The amount of a product before it has been trimmed and cut and before being used in recipes.
10. The ability to focus closely on what another person is saying to summarize the true meaning of a message.
11. scale A scale that measures resistance electronically
14. The ability of a person to be believed.
15. The measurement of an item’s resistance to gravity. Weight is expressed in ounces and pounds.
17. communication Any two-way communication that has immediate feedback.
18. information May include amounts of fat (saturated and unsaturated), carbohydrates, protein, fiber, sodium, vitamins, and minerals.
20. units The most commonly used system of measurement in the United States is based on customary units. Some examples of these customary units are ounces, teaspoons, tablespoons, cups, pints, and gallons.
22. directions How and when to combine the ingredients.
25. The process of sending and receiving information by talk, gestures, or writing for some type of response or action.
26. A written record of the ingredients and preparation steps needed to make a particular dish.
27. Larger numbers are divided using a combination of division and subtraction. The dividend is the number being divided and is placed inside the long division sign.
31. Accounting for the weight of the container in which the item is located when correctly weighing an item.
33. A work area in the kitchen dedicated to a particular task, such as broiling or salad making.
35. Communication that helps a person understand how well he or she has done something and how to improve.
36. statement Directed both internally and externally; it defines the company's purpose and values to employees.
37. en place French for “to put in place;” the preparation and assembly of ingredients, pans, utensils, and equipment or serving pieces needed for a particular dish or service.

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1. displacement method Used to measure fat by combining fat with water in a liquid measuring cup. First, do some math: subtract the amount of fat to be measured from one cup. The difference is the amount of water to pour into the measuring cup.
2. The number of servings or the amount the recipe makes.
3. statement Primarily serves an internal function; it describes the company's purpose and key objectives to its team and owners.
4. All the sensations produced by whatever is in the mouth, but mostly food’s aroma and taste.
5. How much of something is being used in a recipe.
7. portion (EP) The amount left after vegetables have been trimmed and cut, and before being used in recipes.
9. scale A scale that measures the pressure placed on the spring.
12. communication The numerous messages and information that convey operational procedures, policies, and announcements to a wide variety of audiences.
13. One of the five basic tastes – salt, sour, bitter, sweet, and umami (or savory).
16. chart A list of food items showing the expected, or average, shrinkage from AP amount to EP amount.
19. The amount of space an ingredient takes up.
21. A process that removes lumps from an ingredient and gives it a smoother consistency.
23. recipes Recipes for institutional use.
24. The same amount expressed in different ways by using different units of measure.
28. The act of identifying with the feelings, thoughts, or attitudes of another person.
29. measuring cup method Used to measure fat by packing the fat down into a cup, pressing firmly to remove air bubbles. Level off the top.
30. method Used to measure fat that comes in 1/4-pound sticks, such as butter or margarine. The wrapper is marked in tablespoons and in fractions of a cup.
32. size The individual amount that is served to a person.
34. yield The number of servings that are needed.

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3. A line that intersects two or more lines at distinct points.
5. A graph that is not a line.
7. The number set made up of natural numbers and zero.
10. An association formed when the points on a scatterplot resemble a straight line.
12. A 3D object with two parallel, congruent circular bases.
16. The new figure created from a transformation.
17. The ratio of the distance of a new figure from the center of dilation to the distance of the original figure from the center of dilation.
22. An association formed on a scatterplot when the response variable increases as the explanatory variable increases.
23. A decimal in which a digit, or group of digits, repeats infinitely.
25. The second coordinate of an ordered pair in a relation.
27. The point of intersection on a system of equations.
28. Used to express a very large or a very small number as the product of a number greater than or equal to 1 and less than 10 to a power of 10.
30. The side opposite the right angle in a right triangle.
32. The distance from one edge of a circle, through the center, the another edge of the circle.
34. _ angles have the same relative position in geometric figures.
36. The set of numbers that can be written as a fraction.
40. A rigid motion transformation that "slides" each point of a figure the same distance and direction.
41. _ interest is a percentage that is paid on the principal and interest after each time period.
42. A graph of a collection of ordered pairs that allows exploration of the relationship between the points.
44. A pattern or relationship in a scatterplot of a two-variable data set.
46. A _ relationship is one in which the ratio of the inputs and outputs is constant, ex: y/x should be the same for each piece of the relationship.
47. The set of whole numbers and their additive inverses.

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1. When the scale factor is greater than 1, the image is called an _.
2. The original figure in a transformation.
4. An association formed on a scatterplot when the explanatory variable increases as the response variable also increases.
6. The direction and steepness of a line, usually represented by the variable m.
8. The length of a line segment drawn from base to base on a prism/cylinder, or from the vertex to the base on a pyramid/cone.
9. A decimal with a finite number of digits.
10. Either of the two shorter sides of a triangle.
11. The y-coordinate of the point where a graph crosses the y-axis.
13. A transformation that produces a figure that is the same shape as the original figure, but not necessarily the same size.
14. A _ represents two sets of objects or items. Arrows connect the items to represent a relationship between them.
15. Any set of ordered pairs or the mapping between a set of inputs and a set of outputs.
18. A 3D object with a circular base and one vertex.
19. When the scale factor is less than 1, the image is called a _.
20. _interest is a percentage that is paid only on the original principal.
21. Combines the set of rational numbers and the set of irrational numbers.
24. A rigid motion transformation that "flips" a figure across a line, usually the x-axis or y-axis.
26. The set of all outputs of the function.
29. Numbers that cannot be written as fractions.
31. The movement of a plane and all the points of a figure on a plane according to a common action or operation.
33. Two figures that have corresponding side lengths and congruent angles.
35. The set of all inputs of a function.
37. Maps each input to one and only one output.
38. A rigid motion transformation that turns or "spins" a figure on a plan about a fixed point.
39. Another name for the line of best fit on a scatterplot.
43. The distance from the center of a circle to any edge of the same circle.
45. The first coordinate of an ordered pair in a relation.

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1. the form you fill out to obtain money from the government to attend classes after high school
7. happens once a year
9. 0.02, 2.75, and 4.55918 are examples of _________
12. another major part of a resume
15. the amount of money you pay on a house, car, etc before financing the loan for the remainder
16. what the I in I=prt stands for
17. the brick and mortar place that handles your money so you don't have to carry it all around
18. the amount of principle you have paid off of your house loan
21. the number on the bottom of a fraction
24. Future value of money drawing simple interest
27. the amount of money you deposit to start a savings account
32. the paper that introduces you to the prospective employer; also contains your resume
33. a logarithm to base e
34. the rule of thumb for estimating how long it will take your money to double; 2p = 72/r
35. happens twice a month
36. a convenient piece of paper used to pay for goods and/or services
37. data involving characteristics like eye color, height, etc
38. what the r in I=prt stands for; must be entered as decimal
40. the best teacher at LRSW High School
41. the test Mrs. B is always asking whether you have passed, a requirement for graduation
43. happens every 3 months
44. the amount of money that one item costs
47. a logarithm to base 10
50. the least amount of money an employer may legally pay an employee
51. what two fractions must have before they can be added
52. the amount of money you owe
54. money borrowed from a city, state, federal agency so that they may perform their civic duties
56. one of the larger credit card companies
57. a checking account that does not charge a monthly fee
58. Future value of money that is compounded, but not continuously
59. the amount of money you set aside each paycheck to cover bills, entertainment, food, etc

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2. where to get money from your account using a debit card
3. data involving numbers
4. one of the major parts of a resume
5. a fee you might incur when visiting some other bank than yours to request money from a machine
6. a number of things from a set of larger things, such as 23 of 100 or 15 of 100, etc
8. the number in the top of a fraction
10. money you have left over after all other responsibilities (bills) are paid
11. number such as 45%, 1.25%, 98%, etc
13. the new name given to our math class
14. arriving to class AFTER the bell to start has rung
19. water, sewer, gas, electricity, etc
20. an amount of money deducted from your checking account, usually with an atm card
22. when you pay monthly for an item you already own
23. what the employer gives you every week (or month or bimonthly, etc) for doing your job
24. branch of mathematics dealing with unknown quantities
25. a list of people that you send a prospective employer to verify your information and reliability
26. when you are late on a payment you are said to be "in _________"
28. the amount of money you have available to spend
29. when it is time to receive cash for your investment, the investment is said to have ___________
30. number such as one half, two thirds, eight fifths, etc
31. the mathematical tool used to solve equations when the variable is in an exponent
39. happens every split second, every day, every year, etc
42. the test you take to see whether you would have a career in the armed forces
45. a pair of numbers such as 2:3 or 5:7, etc
46. what the t in I=prt stands for; measured in years
48. when your bank covers a check for you that you did not have the funds in your account to cover
49. the amount you owe and pay for your house
53. missing a class or day of school
55. Future value of money that is compounded continuously

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1. , 1/3 divided by 1

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1. 1/3 x 1

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2. 27. In the __________ system, measuring angles is based on the relation between the radius and the circumference of a circle.
3. 30. _____ circle is a circle drawn on a rectangular coordinate plane with center at the origin and with a radius one unit long
7. 18. A __________ or related angle for an angle is the positive acute angle made by the terminal side of an angle and the x-axis.
8. 4. A relation in which every abscissa is associated to exactly one ordinate
13. 24. Is a branch of mathematics which deals with the properties and application of particular ratios associated with angles known as circular functions
15. 14. A shorter and simpler method of dividing a polynomial by binomial in the form x – r is called _______ Division
16. 37. It is the arrangement of n objects in a definite order.
18. 5. ________ function is a function whose graph is a straight line
21. 40. The ___________ function is not defined for all real number and its graph is not like the graphs of the sine and cosine functions
23. 26. In ___________ system, an angle is measured by the number of revolution or fractions of a revolution made by terminal side in relation to the initial side.
24. 6. Is a numerical measure of the steepness of a line with respect to the x-axis
25. 20. It is the exponent of the power of the base that is equal to the number.
28. 25. Is the figure formed by the rotation of the ray around its point
29. 11. Graph of a quadratic function
33. 9. Two distinct line with equal slopes are ________
34. 8. A line has a __________ slope if it falls from left to right
35. 12. An important feature of a parabola is that it is symmetric about a vertical line called axis of ___________.
36. 7. A line has s ____ slope if its parallel to the x-axis
37. 32. The distance that one graph must be shifted to the left to coincide with another graph is called _______ shift
38. 3. The set of all second members/coordinates of the ordered pairs
39. 2. The set of all the first members/coordinates of the ordered pairs

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1. 21. Logarithm of a _________ is the sum of the logarithms of the factors
4. 32. The distance that one graph must be shifted to the left to coincide with another graph is called _______ shift
5. 22. Logarithm of a _________ is the difference of the logarithms of the factors
6. 10. A function defined by a polynomial expression of degree 2 is referred to as a ____________ function in x.
9. 39. The product of consecutive number from one to n denoted by n! is commonly known as __________
10. 36. A second property of triangles that is important in solving oblique triangles is called law of ___________
11. 34. The sine and cosine functions are called?
12. 38. It is a subset of r elements selected out of n distinct elements without regard to order.
14. 19. ________________ function – is a function of the form y=ax where a is a fixed number, a > 0 and x is any real number
17. 35. When 2 sides of a triangle and an angle opposite one of them are unknown, the law of sines can be used to solve the triangle. However, there may be more than one solution. This is known as the ________________ case
19. 28. Angles which have the same initial sides and the same terminal side are called __________ angles
20. 29. Angles in standard position having their terminal side along the x-axis or y-axis are called _______________ angles
22. 23. Logarithm of a _________ of a number is the product of the exponent and the logarithm of the number.
23. 15. If a polynomial f(x) is divided by x – c, the remainder is equal to f(c) , this is called _________________ theorem
26. 17. If f(-x) = -f(x), the curve is symmetric through the origin; it is an _____ function
27. 1. It is a set of ordered pairs
30. 31. _________ functions are useful in many practical applications, especially in electrical engineering, physics, and economics.
31. 16. It is called ______________ theorem if a polynomial f(x) has a factor x – c if and only if f(c) = 0
32. 13. Turning point of a parabola

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5. set: the set of points for a function of the form z2 + c (where c is a complex parameter), such that a small perturbation can cause drastic changes in the sequence of iterated function values and iterations will either approach zero, approach infinity or get trapped in loop
6. a number that will divide into another number exactly, e.g. the factors of 10 are 1, 2 and 5
10. a mathematical structure consisting of a set together with an operation that combines any two of its elements to form a third element, e.g. the set of integers and the addition operation form a group
12. square: a square array of numbers where each row, column and diagonal added up to the same total, known as the magic sum or constant (a semi-magic square is a square numbers where just the rows and columns, but not both diagonals, sum to a constant)
15. n: the number of unique digits (including zero) that a positional numeral system uses to represent numbers, e.g. base 10 (decimal) uses 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in each place value position; base 2 (binary) uses just 0 and 1; base 60 (sexagesimal, as used in ancient Mesopotamia) uses all the numbers from 0 to 59; etc
16. a physical quantity having magnitude and direction, represented by a directed arrow indicating its orientation in space
17. number: a real number which expresses fractions on the base 10 standard numbering system using place value, e.g. 37⁄100 = 0.37
18. object is exactly or approximately similar to a part of itself (in fractals, the shapes of lines at different iterations look like smaller versions of earlier shapes)
19. a member of, or an object in, a set
21. a branch of mathematics that uses symbols or letters to represent variables, values or numbers, which can then be used to express operations and relationships and to solve equations
22. in an algebraic expression or equation, either a single number or variable, or the product of several numbers and variables separated from another term by a + or - sign, e.g. in the expression 3 + 4x + 5yzw, the 3, the 4x and the 5yzw are all separate terms

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1. line: a line on which all points correspond to real numbers (a simple number line may only mark integers, but in theory all real numbers to +/- infinity can be shown on a number line)
2. function: A function based on an infinite series of reciprocals of exponents (Riemann’s zeta function is the extension of Euler’s simple zeta function into the domain of complex numbers)
3. theory: an area of topology that studies mathematical knots (a knot is a closed curve in space formed by interlacing a piece of “string” and joining the ends)
4. equation: a polynomial having a degree of 4 (i.e. the highest power is 4), of the form ax4 + bx3 + cx2 + dx + e = 0, the highest order polynomial equation that can be solved by factorization into radicals by a general formula
7. number: a number with at least one other factor besides itself and one, i.e. not a prime numberbase n: the number of unique digits (including zero) that a positional numeral system uses to represent numbers, e.g.
8. triangle: a triangle (three sided polygon) containing an angle of 90°
9. a smooth symmetrical curve with two branches produced by the section of a conical surface
11. numbers: an extension of the natural numbers (different from integers and from cardinal numbers) used to describe the order type of sets i.e. the order of elements within a set or series
13. the point towards which a series or function converges, e.g. as x becomes closer and closer to zero, (sin x)⁄x becomes closer and closer to the limit of 1
14. an equality that remains true regardless of the values of any variables that appear within it, e.g. for multiplication, the identity is one; for addition, the identity is zero
20. numbers: integers greater than 1 which are only divisible by themselves and 1

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3. Function, f(t) moves in one direction as its argument t increases
6. the limit from both sides are equal
7. the expression that represents the addition of infinitely many quantities
8. the derivative of velocity with respect to time
9. Rate of Change, slope of a tangent at a point or value of a derivative at a point
10. theorem, for any function in which f(a)= f(b), there exists a point x where f'(x) = 0. x must be between a and b
12. function, functions if which -f(x) = f(-x) for all x values
14. the change in position with respect to time
19. a quantity that has direction and magnitude
21. Rule, if f(x) = g(h(x)) then f’(x) = g’(h(x))*h’(x)
24. of inflection, when the graph changes from concave to convex or the sign of y' changes
27. Value theorem,if a function takes on the value y1 and y2 at a and b respectively. Tehre must exist a value between a and b for any value between y1 and y2
28. Lines, lines that intersect a graph at a single point
30. discontinuity, points at which there are holes. They occur when the value can be found in simplified versions of the function, but not the original.
31. Series, polynomials with an infinite number of terms
32. points at which the curve or line intersect the x and y axes
33. a mathematical technique for finding a maximum or minimum value of a function of several variables subject to a set of constraints
36. Theorem of Calculus, The integral of the function f(x)dx on the interval a through b is equal to f(b)-f(a)
38. Extrema, the maxima and minima of some enclosed interval
39. Term Test, if the series grows without bound series diverges
40. Rule, (x^n)’ = nx^(n-1)
41. Minimum, the lowest point over the domain of the function
42. Value, 1/(b-a) * integral of f(x)dx
44. Riemann Sum, using the left end points of rectangles to evaluate the area under the curve
45. Value theorem, if a function is continuous on the interval [a,b], then there must exist both a maximum and a minimum on the interval
48. Field, graphical representation of the solution to a differential equation
49. set of numbers that follow some sort of rule
50. series, taylor series at x=0

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1. functions that can be integrated
2. form, 0/0 or infinity/infinity
4. discontinuity, points at which the function does not meet so the limit cannot be evaluated
5. using tangent lines to estimate values of a function
11. refers to terms for which the derivative can be taken
13. Integral, an integral which is bounded by two points generally referred to as "a" and "b"
15. Point, values where f(x) is equal to 0 or infinity
16. quantity that influences a behaviour of a mathematical object
17. Curve, shape constructed using the polar system
18. Rule, rule that states derivative of a constant function is 0
20. Theorem, The squeeze theorem states that if f(x)≤g(x)≤h(x) for all numbers and at some point x=k we have f(k)=h(k) then g(k) must also be equal to them
22. Differentiation, a procedure for finding the derivative of y with respect to x when the function relationship is defined implicitly
23. Rate of Change, slope of a secant line between two very close points in order to estimate the instantaneous rate of change
25. Asymptotes , x-values at which f(x) is undefined
26. to One Function, each value in the domain has a unique output
29. Maximum, the highest point over the domain of the function
34. rule, (uv)' = uv' + vu'
35. Fractions, expressing a fraction as the sum of polynomials with simpler denominators
37. Function, a function that reverses the original function
38. Rule, used when the limit is indeterminate. Evaluate the derivative of the numerator and denominator separately and attempt to plug in the value
40. functions, functions that have several parts and have different rules for different portions of the domain
43. function, functions in which f(x)=f(-x) for all x values
46. down, occurs when y' is decreasing and y'' is negative
47. expression that consists of variables and coefficients

Across

3. expansion of a rational fraction is an operation that consists of expressing the fraction as a sum of a polynomial and one or several fractions with a simpler denominator
5. named after Gottfried Wilhelm Leibniz, generalizes the product rule
6. A fundamental concept in calculus and analysis concerning the behavior of that function near a particular input
9. A function of one real variable whose derivative exists at each point in its domain
11. a numerical method to solve first order first degree differential equation with a given initial value
18. derivative of Sinx
19. This makes a function not continuous that jumps from one point to another
20. finds the area under a curve
21. the counterpart to the chain rule for differentiation
25. states that is [a,b] is continuous, (a,b) is differentiable, f(a)=f(b), then there must be a point where f’(c)=0
27. used to determine if a POI in increasing or decreasing
32. often simplified by saying log
33. a function that has no discontinuities in it is called a function
35. a technique for approximating the integral of a function by using trapezoids
38. A formula for finding the derivative of a function that is the ratio of two functions
39. A function f defined on some set X with real or complex values
41. Finding the integral of a function at any point i.e. 12x2+C
42. An infinite series whose terms alternate between positive and negative
43. rule used to take the derivatives of functions
45. a line that continually approaches a given value but never touches it
47. a method used to differentiate functions by employing the logarithmic derivative of a function f
48. the highest value a function attains
49. The velocity of an object in motion at a specific point in time
50. abf(x)dx=F(b)−F(a)

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1. problems involve two variables that change at the same time
2. finding the maximum or minimum possible value of a function
4. the limit of a definite integral as an endpoint of the interval(s) of integration
7. a graphical representation of the solution of a first derivative of a function
8. used to determine if a POI is an absolute minimum of maximum
10. determines whether a graph is concave or convex
12. the non negative value of x without regard to its sign
13. another method for integration by parts
14. A(x) = cxf(t)dt
15. form of shorthand used to give a concise expression for a sum of the values of a variable
16. the lowest value a function attains
17. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.
22. logarithm simplified version is ln
23. The name for a function which is being integrated
24. A formula used to find the derivatives of products of two or more functions
26. uses derivatives to help evaluate limits involving indeterminate forms
28. point of a differentiable function of a real or complex variable is any value in its domain where its derivative is 0
29. States that if a real valued function f is continuous on the closed interval [a,b], then f must attain a maximum and a minimum, each at least once
30. ∫udv = uv ∫ vdu
31. the mathematical study of continuous change
34. A term that refers colloquially to some quantities that cannot be expressed by a single number (a scalar), or to elements of some vector spaces
36. If a function is not continuous at a point in its domain, one says that it has a _____ there
37. equation which describes the slope of any function at a point
40. a differentiable function F whose derivative is equal to the original function f
44. a formula for computing the derivative of the composition of two or more functions
46. a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician Bernhard Riemann

Across

5. 1 over cos
7. This point exists when the derivative of a function goes from negative, to undefined or 0 at the point, and then to positive
9. This theorem states that if a function is continous on the interval [a,b], then there exists an absolute max and min on that interval
14. The negative of the integral of csc squared
20. If the limit as a function approaches any point in the domain is equal to the value of the function at that point, then the function is _____
21. Integral of 1/x
24. Derivative of position
26. The integral of sec squared
27. The negative of the derivative of cos
28. The derivative of the derivative
31. _______’s rule says that when the limit of a fraction yields an indeterminate form by direct substitution, you can find the limit by taking the derivative of both the numerator and denominator
34. This type of equation relates x and y
35. _____ is the replacement of trigonometric expressions for other types of expressions, or vice versa
36. This growth model has growth based solely on the current population
37. Concepts that can be quantified by a single number
40. Graphical representation of the possible derivatives of a function as x and y changes
41. A taylor series centered at 0
42. Area under the graph of a function
43. A _______ can be used to approximate integrals
46. Creating a tangent line to a function by creating a line with slope of the derivative at a point, and that goes through that point
47. Integral of the absolute value of velocity
48. The opposite of the chain rule used for integration
49. These points exists when the concavity changes and the second derivative is 0 or undefined
50. The integral of the square root of 1 plus the derivative squared

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1. _____ series converges, but the absolute value of the series diverges
2. A function is ____ upwards when the second derivative is positive
3. This test states that If the limit of the ratio between the next term and the current term approaches a number less than 1, then the series converges, and if greater than 1, diverges
4. This test states that If an infinite series a is less than an infinite series b for every term after a certain term, and series b converges, then series a also converges
6. Minimums or maximums
8. This type of equation solves for x and y in terms of t
10. The opposite of the product rule used for integration
11. _____ series converges, and the absolute value of the series also converges
12. A method of rewriting a messy fraction into a sum of multiple smaller, easier to deal with, fractions
13. 1 over sin
15. Represents the rate of change of a function
16. Derivative of sin
17. An integral that tries to integrate an infinite interval of integration or has a discontinuity on the interior of the interval of integration
18. Concepts that need to represent both magnitude and direction
19. This growth model has growth based both on the current population and the distance from the carrying capacity
22. Derivative of velocity
23. This rule for taking the derivative says to derive the outside function while leaving the inside function intact, then multiply that by the derivative of the inside function
25. A function that serves to undo another function
29. Function to be integrated
30. These points exist when the derivative of a function is 0 or undefined
32. This type of sequence involves finding the next term by multiplying a constant value to the current term
33. This point exists when the derivative of a function goes from positive, to undefined or 0 at the point, and then to negative
38. Integral of velocity
39. An infinite sum of terms that are expressed in terms of the function's derivatives at a single point meant to represent that function
44. This type of equation relates r and theta
45. A function that never decreases or never increases

Across

3. The reciprocal of a number is also known as its ___.
5. When solving equations, to isolate the variable, you use the ___ to divide both sides by the same number.
7. Used to represent a repeating decimal, called a _____ notation.
8. Numbers that are the same distance from zero on a number line but in opposite directions are called ___.
10. An equation that uses an abundance of words and letters for variables, known as an algebraic ________.
17. To find the distance across a circle through its center, you measure the ___?
18. To find the average distance between each data point and the mean of the data set, you calculate the ___.
22. When solving equations, you can multiply both sides by the same number without changing the equality, which is known as the ___.
23. To find the value of an expression, you ___ the given numbers or variables.
24. ________ value is the non-negative value of x without regard to its sign.
26. An increase in the original price of an item is called a ___.
30. To perform calculations involving multiple operations, you follow the ___.
34. Having the same measurement is __________
35. The total count of digits used to express numbers in a number system
36. A solid geometric figure with two congruent and parallel faces, and all other faces are rectangles, is called a ___.
37. The money paid regularly at a particular rate for the use of money lent, or for delaying the repayment of a debt is called ___.
38. In mathematics, a statement that two expressions are equal is called an ___.
39. A mathematical statement that shows the relationship between two quantities and uses symbols such as <, >, or ≠ is called an ___.
42. When a number is multiplied by its reciprocal, the result is always ___.
47. Two angles are complementary if the sum of their measure is 90 degrees
48. When two quantities do not have a constant ratio, they are said to be ___.
49. A mathematical statement that two ratios are equal is called a ___.

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1. Mainly based off of a triangle, it is 3d, and has a flat base and sharp end. Famous for holding a frozen treat.
2. To find how much a quantity has increased or decreased in percentage, you calculate the ___.
4. an equation that does NOT have a variable.
6. The likelihood of an event happening is called ___.
9. To break down a number or expression into its prime components, you ___ it.
11. A whole number, its opposite, and zero are all examples of ___s.
12. When someone helps sell an item they usually receive ___________
13. When the same quantity is added to both sides of an equation, the equation does not change. Additional property of _________.
14. A constant ratio or unit rate of two variable quantities. It is also called the constant of variation.
15. Another term for a tip given to a server is ___.
16. Equations that have the same solution set are called ___.
19. What does GCF stand for?
20. 3D picture that has two parallel congruent bases connected by a curved surface.
21. When adding or subtracting fractions with different denominators, you find the ___.
25. To simplify expressions like 3(x + 2), you use the ___ of multiplication over addition.
27. To find the _______ of a shape you need to use length times width.
28. changing the sign of the number and adding it to the original number to get an answer equal to 0. Additive ________ property.’
29. A closed figure formed by straight lines is called a ___.
31. The ratio of the circumference of a circle to its diameter is represented by the Greek letter ___.
32. A triangle with at least two sides of equal length is called an ___.
33. When you are the same distance from each wall, you are in the ________
40. A polynomial with only one term is called a ___.
41. a figure that is made up of more figures.
43. Angles that have the same vertex, share a common side, and do not overlap are called a(n) _________ angles.
44. A reduction of the original price of an item is called a ___.
45. The distance around a certain shape that has an area of pi. This is the _________________
46. an angle somewhere between 0-90 degrees.

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4. 12. An important feature of a parabola is that it is symmetric about a vertical line called axis of ___________.
5. 27. In the __________ system, measuring angles is based on the relation between the radius and the circumference of a circle.
6. 15. If a polynomial f(x) is divided by x – c, the remainder is equal to f(c) , this is called _________________ theorem
9. 20. It is the exponent of the power of the base that is equal to the number.
11. 38. It is a subset of r elements selected out of n distinct elements without regard to order.
12. 37. It is the arrangement of n objects in a definite order.
13. 17. If f(-x) = -f(x), the curve is symmetric through the origin; it is an _____ function
15. 34. The sine and cosine functions are called?
16. 10. A function defined by a polynomial expression of degree 2 is referred to as a ____________ function in x.
18. 19. ________________ function – is a function of the form y=ax where a is a fixed number, a > 0 and x is any real number
19. 23. Logarithm of a _________ of a number is the product of the exponent and the logarithm of the number.
20. 32. The distance that one graph must be shifted to the left to coincide with another graph is called _______ shift
22. 9. Two distinct line with equal slopes are ________
24. 8. A line has a __________ slope if it falls from left to right
26. 35. When 2 sides of a triangle and an angle opposite one of them are unknown, the law of sines can be used to solve the triangle. However, there may be more than one solution. This is known as the ________________ case
28. 5. ________ function is a function whose graph is a straight line
30. 31. _________ functions are useful in many practical applications, especially in electrical engineering, physics, and economics.
31. 25. Is the figure formed by the rotation of the ray around its point
32. 7. A line has s ____ slope if its parallel to the x-axis
33. 30. _____ circle is a circle drawn on a rectangular coordinate plane with center at the origin and with a radius one unit long

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1. 39. The product of consecutive number from one to n denoted by n! is commonly known as __________
2. 4. A relation in which every abscissa is associated to exactly one ordinate
3. 2. The set of all the first members/coordinates of the ordered pairs
4. 14. A shorter and simpler method of dividing a polynomial by binomial in the form x – r is called _______ Division
5. 26. In ___________ system, an angle is measured by the number of revolution or fractions of a revolution made by terminal side in relation to the initial side.
6. 18. A __________ or related angle for an angle is the positive acute angle made by the terminal side of an angle and the x-axis.
7. 32. The distance that one graph must be shifted to the left to coincide with another graph is called _______ shift
8. 24. Is a branch of mathematics which deals with the properties and application of particular ratios associated with angles known as circular functions
10. 1. It is a set of ordered pairs
14. 16. It is called ______________ theorem if a polynomial f(x) has a factor x – c if and only if f(c) = 0
15. 28. Angles which have the same initial sides and the same terminal side are called __________ angles
16. 29. Angles in standard position having their terminal side along the x-axis or y-axis are called _______________ angles
17. 3. The set of all second members/coordinates of the ordered pairs
21. 40. The ___________ function is not defined for all real number and its graph is not like the graphs of the sine and cosine functions
22. 11. Graph of a quadratic function
23. 13. Turning point of a parabola
25. 22. Logarithm of a _________ is the difference of the logarithms of the factors
27. 6. Is a numerical measure of the steepness of a line with respect to the x-axis
29. 36. A second property of triangles that is important in solving oblique triangles is called law of ___________
30. 21. Logarithm of a _________ is the sum of the logarithms of the factors

Across

2. To approach a finite limit.
4. The _______ Function is symmetric with respect to the y-axis (even function).
6. A graph of a function that comes to a sharp point.
8. - The process of finding an integral, either a definite integral or an indefinite integral.
15. When the vertex of an angle is at the origin and its initial side is lying along the positive x-axis.
16. A formula for the derivative of the product of two functions
19. - The highest point over the entire domain of a function or relation.
20. The _______ Function is symmetric with respect to the origin (odd) function.
24. - A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions 0/0 and infinity/infinity. This is done by finding the limit of the derivatives of the numerator and denominator.
26. - The lowest point over the entire domain of a function or relation.
28. the type of angles generated by counter-clockwise rotations.
30. - the set of values that a given function can take as its argument varies.
31. A triangle-looking greek letter that means “the change in.”
35. Two angles with the same initial and terminal side yet have different measures.
36. To fail to approach a finite limit.
38. The mathematics of working with variables.
39. A line which passes through at least two points of a curve.
41. A modified version of the Point-slope Form: y - y1 = m(x - x1)
43. A function that can be written in the form: f(x) = asin(bx + c) + d, where a,b,c, and d are constants and neither a nor b is 0.
44. A "number" which indicates a quantity, size, or magnitude that is larger than any real number.
45. - A function that has a given function as its derivative.
47. - The formula for finding the derivative of a power of a variable.
48. A curve that is smooth and contains no discontinuities or cusps.
50. - A set of ordered pairs.

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1. - A function which gives the slope of a curve; that is, the slope of the line tangent to a function.
3. Any real number, or any quantity that can be measured using a single real number.
5. A discontinuity that exists when the values of the function appear to be approaching two or more values simultaneously.
7. - A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.
9. - number which is used to indicate the steepness of a line/curve
10. - a point or value that a sequence, function, or sum of a series can be made to approach progressively, until it is as close to the point or value as desired.
11. The beginning position of a ray in an angle.
12. - a point or value that marks the end of a ray or one of the ends of a line segment or interval.
13. The final position of a ray in an angle.
14. An approximation of a function using terms from the function's Taylor series.
17. - The process of finding a derivative.
18. A set of numbers separated by commas such as 1, 3, 7,
21. A formula for the derivative of the quotient of two functions.
22. A word used to indicate any path, whether actually curved or straight, closed or open.
23. A function that has an infinite discontinuity from the left and a removable discontinuity from the right.
25. An integration method that essentially involves using the chain rule in reverse.
27. - The set of possible values of the independent variable or variables of a function.
29. A quantity, drawn as an arrow, with both direction and magnitude.
32. - A point at which the graph of a relation or function is not connected
33. A formula for the derivative of the reciprocal of a function.
34. - A line that touches a curve at a point without crossing over.
37. - The branch of mathematics dealing with limits, derivatives, definite integrals, indefinite integrals, and power series.
40. - A method for finding the derivative of a composition of functions
42. - A shape or solid which has an indentation or "cave".
46. The product of a given integer and all smaller positive integers
49. The sum of the terms of a sequence.

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1. Alternating series converges and general terms converge in another test
3. ∫f (x)-g (x) from interval a to b. Where f (x) is the top-level function and g (x) is the bottom-level function.
7. Finds all derivatives up to the Xth derivative, a polynomial with a finite number of terms and the largest exponent of X
10. If lim is positive and finite as n approaches the comparison series / general term ratio ∞, the series behaves like a comparison series.
12. When f'(x) changes from increase to decrease, or decrease to increase, f (x) is
15. f '(g(x)) g'(x)
20. Particles are moving right / up
24. The slope of a horizontal line
25. If f'(x) is negative, then f (x) is
26. If the integral converges, the series converges
27. As the term grows endlessly, the series diverges
36. The area below the x-axis is
38. ∫√ (1 + (dy / dx) ²) dx spanning a to b
40. P = M / (1 + Ae^(-Mkt))
42. absolute value of velocity
46. The area above the x-axis is
49. lim converges when n approaches ∞ in the ratio of (n + 1) term / nth term> 1
51. Rate of change
52. When f'(x) is decreasing, f (x) is
53. Convergence when general term = 1 / n ^ p, p> 1
54. If f (x) is continuously differentiable, the slope of the tangent is equal to the slope of the secant at least once in the interval (a, b).
55. When f'(x) changes from negative to positive, f (x) is
56. Used to find indeterminate limits, find the numerator and denominator derivatives separately, then evaluate the limits
57. Particles are moving left / down
58. General term = a 1 r ^ n, converge when -1 <r <1

Down

1. In order to find absolute maximum on the closed interval [a, b], you should consider...
2. substitution, integration by parts, partial fractions
4. uv' + vu'
5. y = ln (x) / x², rule used to find derivatives
6. Evaluate the integral using the rightmost rectangle (estimated area)
8. Where the function is not differentiable
9. Two different types of functions are multiplied
11. integrand is a rational function with a factorable denominator
13. There are limits a and b, find an indefinite integral, F (b) -F (a)
14. dP/dt = kP(M - P)
16. Limitations when x approaches a in [f (x) -f (a)] / (x-a)
17. Use the ratio test and set it to> 1 to solve the absolute equation and see the endpoint
18. Evaluate the integral (estimated area) using the leftmost rectangle
19. Limit when h approaches 0 of [f (a + h) -f (a)] / h
21. The slope of the tangent at a point, the value of the derivative at a point
22. The series converges as n approaches zero with the general term = 0 and the terms decrease.
23. Approximate the value of the function using tangents
28. Find C with no limit, indefinite integral + C and use initial value
29. 0/0, ∞ / ∞, ∞ * 0, ∞-∞, 1 ^ ∞, 0⁰, ∞⁰
30. The slope of a vertical line
31. The slope of the secant line between two points. Used to estimate the instantaneous rate of change at a point.
32. y = x cos (x), rule used to find derivatives
33. Use the ratio test, set it to> 1 and solve the absolute value equation. Radius = Center-Endpoint
34. Alternating series converge and general terms diverge in another test
35. If f (a) <0 and f (b)> 0, then the x value must exist between a and b where f intersects the x-axis.
37. When f'(x) changes from positive to negative, f (x) is
39. ∫f (x) dx integrates over the interval a to b
41. Evaluate the integral using a trapezoid (estimated area)
43. The function and its derivative are in the integrand
44. [(H1-h2) / 2] * Base
45. When f'(x) is increasing, f (x) is
47. (uv'-vu')/v²
48. Polynomials with an infinite number of terms, including general terms
50. If f'(x) is positive, then f (x) is

Across

6. To find out if a polynomial has a rational zero/ roots.
7. a unit of angle measure (it 80 degrees outside)
8. An operation that divides a number.
9. A u-shape graph of a quadratic function.
11. The action or process of adding something to something else.
12. an expression that divides another number/ expression evenly
13. the number multiplied by itself to find the number.
18. having two fractions and multiplying the Numerator of the first fraction to the denominator of the 2nd fraction.
22. the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line
25. the amount of space within the perimeter A=length x height
26. the result of adding numbers
28. The value which substitutes for the unknown quality in an equation satisfies the equation.
29. a circle that has been stretched and looks like an oval.
30. a three-sided polygon that consists of three edges and three vertices
32. Vertical line of a graph
33. the answer when 2 or more values are multiplied together.
35. 4 times 2 equals 8
36. the y-coordinate of a point where a line, curve, or surface intersects the y-axis
37. the difference between the lowest and highest numbers in a list of numbers.
39. not a whole number
41. two lines meet and share a point
42. The operation of taking the difference of two numbers
44. a set of points that are at the same distance from a fixed point.
45. larger than a natural number.
46. a circle of unit radius
50. A number greater than 0.
51. the top number in a fraction
52. A formula that gives the solutions to General quadratic equations.
56. a variable that is by itself.
57. has a 90 degree angle

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1. shows the relationship between lines and points.
2. Horizontal line of a graph
3. y=mx+b
4. Definitions
5. A value or values which, when substituted for a variable in an equation, make the equation true.
10. a comparison of two or more numbers that indicates their size in relation to each other.
14. A number that can be expressed as an integer of an algebraic function over an algebraic domain. ( you put it at the end of a sentence)
15. A mathematical object used to count, measure, and label.
16. the x-coordinate of a point where a line, curve, or surface intersects the x-axis.
17. A branch of mathematics in which symbols and letters and numbers are combined using rules.
19. two eagles or arcs that add up to 180 degrees
20. a set of points plotted on a horizontal and vertical axes
21. A way of writing very large numbers or very small numbers using a number between 1 and 10 multiplied by a power of 10. (4.1x105)
23. replacing letters with numbers -- x=5, 5x-2x=15
24. A comparison of two related quantities. Often the second quantity is time (per second, per hour, etc) but it can be anything.
27. the formula to find the center point of a straight line, using the coordinates of its endpoints
31. A formula that gives the distance between pairs of points in terms of their coordinates.
34. A fixed line used in describing a curve of a surface.
37. the numbers we use like 1,2,3,4,5…….
38. A statement that says that two values are equal.
40. more than 90 degrees.
43. A method that can be used to determine if a function is a one-to-one function.
47. the middle number in a list of numbers.
48. First, Outer, Inner.
49. the cumulative sum of a given sequence of terms.
53. lines in a plane that are the same distance apart and never touch.
54. A base number raised to the exponent.
55. a line with respect to which a curve or figure is drawn, measured, rotated.

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1. Alternating series converges and general terms converge in another test
3. ∫f (x)-g (x) from interval a to b. Where f (x) is the top-level function and g (x) is the bottom-level function.
7. Finds all derivatives up to the Xth derivative, a polynomial with a finite number of terms and the largest exponent of X
10. If lim is positive and finite as n approaches the comparison series / general term ratio ∞, the series behaves like a comparison series.
12. When f'(x) changes from increase to decrease, or decrease to increase, f (x) is
15. f '(g(x)) g'(x)
20. Particles are moving right / up
24. The slope of a horizontal line
25. If f'(x) is negative, then f (x) is
26. If the integral converges, the series converges
27. As the term grows endlessly, the series diverges
36. The area below the x-axis is
38. ∫√ (1 + (dy / dx) ²) dx spanning a to b
40. P = M / (1 + Ae^(-Mkt))
42. absolute value of velocity
46. The area above the x-axis is
49. lim converges when n approaches ∞ in the ratio of (n + 1) term / nth term> 1
51. Rate of change
52. When f'(x) is decreasing, f (x) is
53. Convergence when general term = 1 / n ^ p, p> 1
54. If f (x) is continuously differentiable, the slope of the tangent is equal to the slope of the secant at least once in the interval (a, b).
55. When f'(x) changes from negative to positive, f (x) is
56. Used to find indeterminate limits, find the numerator and denominator derivatives separately, then evaluate the limits
57. Particles are moving left / down
58. General term = a 1 r ^ n, converge when -1 <r <1

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1. In order to find absolute maximum on the closed interval [a, b], you should consider...
2. substitution, integration by parts, partial fractions
4. uv' + vu'
5. y = ln (x) / x², rule used to find derivatives
6. Evaluate the integral using the rightmost rectangle (estimated area)
8. Where the function is not differentiable
9. Two different types of functions are multiplied
11. integrand is a rational function with a factorable denominator
13. There are limits a and b, find an indefinite integral, F (b) -F (a)
14. dP/dt = kP(M - P)
16. Limitations when x approaches a in [f (x) -f (a)] / (x-a)
17. Use the ratio test and set it to> 1 to solve the absolute equation and see the endpoint
18. Evaluate the integral (estimated area) using the leftmost rectangle
19. Limit when h approaches 0 of [f (a + h) -f (a)] / h
21. The slope of the tangent at a point, the value of the derivative at a point
22. The series converges as n approaches zero with the general term = 0 and the terms decrease.
23. Approximate the value of the function using tangents
28. Find C with no limit, indefinite integral + C and use initial value
29. 0/0, ∞ / ∞, ∞ * 0, ∞-∞, 1 ^ ∞, 0⁰, ∞⁰
30. The slope of a vertical line
31. The slope of the secant line between two points. Used to estimate the instantaneous rate of change at a point.
32. y = x cos (x), rule used to find derivatives
33. Use the ratio test, set it to> 1 and solve the absolute value equation. Radius = Center-Endpoint
34. Alternating series converge and general terms diverge in another test
35. If f (a) <0 and f (b)> 0, then the x value must exist between a and b where f intersects the x-axis.
37. When f'(x) changes from positive to negative, f (x) is
39. ∫f (x) dx integrates over the interval a to b
41. Evaluate the integral using a trapezoid (estimated area)
43. The function and its derivative are in the integrand
44. [(H1-h2) / 2] * Base
45. When f'(x) is increasing, f (x) is
47. (uv'-vu')/v²
48. Polynomials with an infinite number of terms, including general terms
50. If f'(x) is positive, then f (x) is

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2. A number divisible by 5 must end in 5 or ____.
3. Finding the value of the variable in an equation.
5. Acronym for the order of operations.
8. A quadrilateral with two pairs of adjacent equal sides.
9. The name given to ‘multiplying out’ brackets.
13. Two expressions connected with an equals sign.
14. Another name for multiply
19. A name we give for the answer to a division.
21. Perpendicular lines cross at ________ angles.
22. A unit of measure for liquid.
24. A number that is the same forwards or backwards.
26. An angle between 180 and 360.
29. The variable that is all by itself in an equation.
31. You need 1000 metres to make one of these.
32. The point where the two arms of an angle meet.
37. The 8 in 85.
38. A fraction that is ‘top-heavy’.
39. A four sided figure.
40. Two lines drawn in the same plane that never meet.
44. A triangle with two equal sides.
48. An angle between 90 and 180.
50. Line that crosses over two or more other lines.
51. A 180 angle.
52. Angles that add up to 180.
54. The type of operations you use to solve an equation.
58. The shortest month in the year.
60. A 360 angle.
61. A particular type of 3D drawing.
62. Not even
63. A solid whose faces are all exactly the same shape and size.
65. 543 written as 5 x 100 + 4 x 10 + 3 is called ___________ notation.
68. A seven side shape.
69. Another word for weight.
72. The bottom number of a fraction.
73. A whole number that divides into another whole number exactly.
74. Two angles right next to each other.
75. The pattern formed when adding two previous numbers to get the next number.
77. Name of the point on the number plane with coordinates (0,0).
78. These ‘inside’ angles are supplementary.
79. The distance around the outside of a shape.

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1. A solid that not a prism, pyramid, cylinder or sphere.
3. A small measurement of time.
4. Type of symmetry where the object is exactly the same after being rotated 180 .
6. A four sided figure whose diagonals are equal and bisect each other at right angles.
7. Directed numbers have both positive and ________ values.
10. A solid whose cross section is always the same.
11. The top number of a fraction.
12. Another name for directed whole numbers.
15. It takes 1000kg to make this amount.
16. Angles between parallel lines on opposite sides of a transversal.
17. The number of sides in an octagon.
18. The ‘space’ a 3D object occupies.
20. The C in LCM.
23. Smaller than a right angle.
25. Angles that add up to 90.
27. Another name given to equations
28. A numeral that contains both a whole number and a fraction.
30. The volume of liquid is called this.
33. 1440 minutes is equal to this.
34. Two intersecting lines create two pairs of vertically o________ angles.
35. Another name for parentheses.
36. Many sided 2D shape.
41. You can only add or subtract ______ terms.
42. A very small unit of measurement.
43. The name of a collection of terms.
45. Another name for a pronumeral.
46. Lines that intersect at 90.
47. Reducing an algebraic expression to its most basic form.
49. To test if a number is divisible by 6 test that it is even and that it is divisible by ____.
52. The process of replacing the variables in an equation with numbers.
53. Fractions that are the same.
55. To make an educated guess of the value of an answer.
56. A name we give for the answer to a multiplication.
57. The number in front of a variable.
59. A quadrilateral with four equal sides, but unequal diagonals.
64. The measuring unit for angle size.
66. A number that has only two factors, 1 and itself.
67. Instrument for measuring angles.
70. Another name for add.
71. A four sided figure with only one pair of parallel lines.
76. Another name for power.

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1. 25. Is the figure formed by the rotation of the ray around its point
5. 21. Logarithm of a _________ is the sum of the logarithms of the factors
6. 11. Graph of a quadratic function
7. 28. Angles which have the same initial sides and the same terminal side are called __________ angles
11. 24. Is a branch of mathematics which deals with the properties and application of particular ratios associated with angles known as circular functions
15. 26. In ___________ system, an angle is measured by the number of revolution or fractions of a revolution made by terminal side in relation to the initial side.
16. 20. It is the exponent of the power of the base that is equal to the number.
18. 27. In the __________ system, measuring angles is based on the relation between the radius and the circumference of a circle.
20. 40. The ___________ function is not defined for all real number and its graph is not like the graphs of the sine and cosine functions
21. 36. A second property of triangles that is important in solving oblique triangles is called law of ___________
23. 35. When 2 sides of a triangle and an angle opposite one of them are unknown, the law of sines can be used to solve the triangle. However, there may be more than one solution. This is known as the ________________ case
25. 14. A shorter and simpler method of dividing a polynomial by binomial in the form x – r is called _______ Division
26. 23. Logarithm of a _________ of a number is the product of the exponent and the logarithm of the number.
28. 22. Logarithm of a _________ is the difference of the logarithms of the factors
29. 3. The set of all second members/coordinates of the ordered pairs
32. 18. A __________ or related angle for an angle is the positive acute angle made by the terminal side of an angle and the x-axis.
35. 1. It is a set of ordered pairs
36. 4. A relation in which every abscissa is associated to exactly one ordinate
37. 8. A line has a __________ slope if it falls from left to right
38. 13. Turning point of a parabola

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2. 19. ________________ function – is a function of the form y=ax where a is a fixed number, a > 0 and x is any real number
3. 29. Angles in standard position having their terminal side along the x-axis or y-axis are called _______________ angles
4. 16. It is called ______________ theorem if a polynomial f(x) has a factor x – c if and only if f(c) = 0
5. 37. It is the arrangement of n objects in a definite order.
8. 10. A function defined by a polynomial expression of degree 2 is referred to as a ____________ function in x.
9. 34. The sine and cosine functions are called?
10. 38. It is a subset of r elements selected out of n distinct elements without regard to order.
12. 32. The distance that one graph must be shifted to the left to coincide with another graph is called _______ shift
13. 12. An important feature of a parabola is that it is symmetric about a vertical line called axis of ___________.
14. 6. Is a numerical measure of the steepness of a line with respect to the x-axis
17. 30. _____ circle is a circle drawn on a rectangular coordinate plane with center at the origin and with a radius one unit long
19. 2. The set of all the first members/coordinates of the ordered pairs
22. 15. If a polynomial f(x) is divided by x – c, the remainder is equal to f(c) , this is called _________________ theorem
24. 17. If f(-x) = -f(x), the curve is symmetric through the origin; it is an _____ function
26. 31. _________ functions are useful in many practical applications, especially in electrical engineering, physics, and economics.
27. 32. The distance that one graph must be shifted to the left to coincide with another graph is called _______ shift
30. 7. A line has s ____ slope if its parallel to the x-axis
31. 5. ________ function is a function whose graph is a straight line
33. 39. The product of consecutive number from one to n denoted by n! is commonly known as __________
34. 9. Two distinct line with equal slopes are ________

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2. statements that are assumed to be true without proof
4. a shape with no sides or corners
7. an angle which is greater than 90° and less than 180°
8. also called a counting frame, is a hand-operated calculating tool of unknown origin used since ancient times
12. the product of an integer and all the integers below it; e.g. factorial four ( 4! ) is equal to 24
13. an enumerated collection of objects in which repetitions are allowed and order matters.
16. the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
18. a closed two-dimensional polygon with six sides
19. is a mathematical statement that shows that two mathematical expressions are equal
22. A symbol or name that stands for a number
23. relation which makes a non-equal comparison between two numbers or other mathematical expressions
24. examples of these are: 2,4,6
25. the fundamental of mathematics that includes the operations of numbers
28. a number representing a single or the only entity
29. a statement that can be demonstrated to be true by accepted mathematical operations and arguments
34. angles that measure less than 90 degrees
35. to determine mathematically in the case of a number or amount, or in the case of an abstract problem to deduce the answer using logic, reason or common sense.
38. The √ symbol that is used to denote square root or nth roots
39. a set of real numbers that contains all real numbers lying between any two numbers of the set
42. is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide
43. the total space taken up by a flat (2-D) surface or shape of an object
44. 3x3=

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1. quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner
3. a single number taken as representative of a list of numbers
5. a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
6. branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures
9. a plane figure made up of line segments connected to form a closed polygonal chain.
10. 2x5=
11. the numbers without fractions and it is a collection of positive integers and zero
14. a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex
15. a line segment that passes through the center and its endpoints are on the circumference of a circle
16. the smallest prime number, and the only even prime number
17. number that can only be divided by one or itself
19. 8+3=
20. a geometric shape containing detailed structure at arbitrarily small scales
21. function or operation which reverses the order or operation of another function or operation
24. the operation of raising one quantity to the power of another
26. a triangle with two equal sides
27. two lines in the same plane that are at equal distance from each other and never meet
30. a mathematical calculation of the number of ways a particular set can be arranged
31. is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases
32. a set of vectors in that space that can be used as coordinates for it
33. the result of an addition
36. the measurement or extent of something from end to end
37. formal examination of an organization's or individual's accounts or financial situation
40. of a circle or sphere is any of the line segments from its center to its perimeter
41. the SI unit of length or distance

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1. the numbers without fractions and it is a collection of positive integers and zero
4. two lines in the same plane that are at equal distance from each other and never meet
6. the product of an integer and all the integers below it; e.g. factorial four ( 4! ) is equal to 24
9. a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
11. a statement that can be demonstrated to be true by accepted mathematical operations and arguments
12. A symbol or name that stands for a number
15. a shape with no sides or corners
18. to determine mathematically in the case of a number or amount, or in the case of an abstract problem to deduce the answer using logic, reason or common sense.
21. is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases
24. the operation of raising one quantity to the power of another
27. quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner
29. the measurement or extent of something from end to end
30. a single number taken as representative of a list of numbers
31. relation which makes a non-equal comparison between two numbers or other mathematical expressions
32. a set of real numbers that contains all real numbers lying between any two numbers of the set
35. the smallest prime number, and the only even prime number
38. a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex
39. number that can only be divided by one or itself
40. an enumerated collection of objects in which repetitions are allowed and order matters.
42. a set of vectors in that space that can be used as coordinates for it
43. 3x3=
46. function or operation which reverses the order or operation of another function or operation

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2. is a mathematical statement that shows that two mathematical expressions are equal
3. 8+3=
5. of a circle or sphere is any of the line segments from its center to its perimeter
7. formal examination of an organization's or individual's accounts or financial situation
8. branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures
10. the fundamental of mathematics that includes the operations of numbers
13. a mathematical calculation of the number of ways a particular set can be arranged
14. a line segment that passes through the center and its endpoints are on the circumference of a circle
16. statements that are assumed to be true without proof
17. a geometric shape containing detailed structure at arbitrarily small scales
19. 2x5=
20. an angle which is greater than 90° and less than 180°
22. a triangle with two equal sides
23. a closed two-dimensional polygon with six sides
25. a plane figure made up of line segments connected to form a closed polygonal chain.
26. the SI unit of length or distance
28. the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
30. also called a counting frame, is a hand-operated calculating tool of unknown origin used since ancient times
33. The √ symbol that is used to denote square root or nth roots
34. angles that measure less than 90 degrees
36. the result of an addition
37. is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide
41. examples of these are: 2,4,6
44. the total space taken up by a flat (2-D) surface or shape of an object
45. a number representing a single or the only entity

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1. cop

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1. cop

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1. cop

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1. a rule that helps to find the limit of indeterminate forms
4. a series is ___ convergent if it converges only sometimes
6. the derivative of position
8. a rule to find the derivative of two functions multiplied together
11. two functions f and g are ___ if f(g((x)) = g(f(x))
12. the function is ___ if you can find its derivative at all points
13. the volume of an object of revolution is found using the sum of the areas of the ___ of the shape
14. The process for integration by replacing a part of the function with a variable
17. this type of growth has a growth rate and carrying capacity
22. a method used to integrate functions that are products of two simpler functions
23. the derivative of velocity
25. the distance between two points along a section of a curve
26. a series that increases/decreases by a constant factor
29. the speed at which one quantity is changing with respect to another quantity
32. a series in which every other term is negative
35. the process used to differentiate each side of an equation with two variables by treating one of the variables as a function of the other
38. the name of the type of error bound used to approximate the maximum error of a Taylor polynomial
40. graphical representations of the solutions to a differential equation
41. feature of a graph relating to the rate of change of a function’s derivative
43. a series is ___ convergent if it always converges
45. a method to find the volume of an object of revolution using the formula (R(x)2-r(x)2)dx
46. This person’s law states that the rate of heat loss of an object is directly proportional to the difference in the temperatures between itself and its environment.
47. approximating a function’s value at a point using the tangent line at a nearby point
48. the p-series test checks for ___
49. an approximation of an integral by dividing it into summable sections

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2. growth this process uses the formula: P = P0e^rt
3. a finite ordered list of numbers
5. the slope of a line that is tangent to a specific function's curve
7. a function is ___ at a if the limit exists at a , the function is defined at a , and they have the same value
9. this method is used to rewrite expressions involving trigonometric terms with trigonometric terms of smaller powers
10. a method to find the volume of an object of revolution using the formula R(x)2dx
15. if f and g are continuous functions of t , the functions x = f(t) and y= g(t) are ___
16. a point where the function’s derivative is 0 and changes from positive to negative
18. the process of finding maximum and minimum values given constraints
19. the nth term test checks for ___
20. Acronym for the two theorems that relate derivatives and integrals with each other
21. When f '(x) changes from increasing to decreasing or decreasing to increasing , f(x) has a ___
24. an equation that relates a function and its derivatives.
27. a taylor series centered around zero
28. Rule a rule that helps to find the derivative of composite functions
30. the fractions used for the decomposition of a rational expression
31. quantities that express both magnitude and direction
33. the acronym for the theorem that states that for a continuous function f from a to b with value L between f(a) and f(b) , there must be a value x=c such that f(c) = N.
34. the equation for ___ is (dxdt)2+(dydt)2
36. type of definite integral that has at least one limit that approaches infinity
37. a point where the function’s derivative is 0 and changes from negative to positive
39. finding a rate of change of a quantity with respect to another quantity’s ROC
40. a method to find the volume of an object of revolution by slicing it parallel to the axis of revolution
42. a function expressed as an infinite sum of its derivatives at a single point.
44. the value that a function approaches as the input approaches some value.

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5. n: the number of unique digits (including zero) that a positional numeral system uses to represent numbers, e.g. base 10 (decimal) uses 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in each place value position; base 2 (binary) uses just 0 and 1; base 60 (sexagesimal, as used in ancient Mesopotamia) uses all the numbers from 0 to 59; etc
7. a mathematical structure consisting of a set together with an operation that combines any two of its elements to form a third element, e.g. the set of integers and the addition operation form a group
9. the point towards which a series or function converges, e.g. as x becomes closer and closer to zero, (sin x)⁄x becomes closer and closer to the limit of 1
11. a member of, or an object in, a set
14. object is exactly or approximately similar to a part of itself (in fractals, the shapes of lines at different iterations look like smaller versions of earlier shapes)
17. numbers: integers greater than 1 which are only divisible by themselves and 1
19. equation: a polynomial having a degree of 4 (i.e. the highest power is 4), of the form ax4 + bx3 + cx2 + dx + e = 0, the highest order polynomial equation that can be solved by factorization into radicals by a general formula
20. theory: an area of topology that studies mathematical knots (a knot is a closed curve in space formed by interlacing a piece of “string” and joining the ends)
21. triangle: a triangle (three sided polygon) containing an angle of 90°
22. in an algebraic expression or equation, either a single number or variable, or the product of several numbers and variables separated from another term by a + or - sign, e.g. in the expression 3 + 4x + 5yzw, the 3, the 4x and the 5yzw are all separate terms

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1. a smooth symmetrical curve with two branches produced by the section of a conical surface
2. square: a square array of numbers where each row, column and diagonal added up to the same total, known as the magic sum or constant (a semi-magic square is a square numbers where just the rows and columns, but not both diagonals, sum to a constant)
3. numbers: an extension of the natural numbers (different from integers and from cardinal numbers) used to describe the order type of sets i.e. the order of elements within a set or series
4. set: the set of points for a function of the form z2 + c (where c is a complex parameter), such that a small perturbation can cause drastic changes in the sequence of iterated function values and iterations will either approach zero, approach infinity or get trapped in loop
6. number: a real number which expresses fractions on the base 10 standard numbering system using place value, e.g. 37⁄100 = 0.37
8. a physical quantity having magnitude and direction, represented by a directed arrow indicating its orientation in space
10. number: a number with at least one other factor besides itself and one, i.e. not a prime numberbase n: the number of unique digits (including zero) that a positional numeral system uses to represent numbers, e.g.
12. a branch of mathematics that uses symbols or letters to represent variables, values or numbers, which can then be used to express operations and relationships and to solve equations
13. function: A function based on an infinite series of reciprocals of exponents (Riemann’s zeta function is the extension of Euler’s simple zeta function into the domain of complex numbers)
15. a number that will divide into another number exactly, e.g. the factors of 10 are 1, 2 and 5
16. an equality that remains true regardless of the values of any variables that appear within it, e.g. for multiplication, the identity is one; for addition, the identity is zero
18. line: a line on which all points correspond to real numbers (a simple number line may only mark integers, but in theory all real numbers to +/- infinity can be shown on a number line)

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1. to pulverize food into crumbs, powder, or paste with a rolling pin, blinder, or food processor
2. to coat food heavily with flour, breadcrumbs, or cornmeal
4. used to gently mix a light, fluffy mixture into a heavier one
7. to shape a food by hand or by placing it in a decorative mold
9. to cut a food such as almonds into very thin strips
10. to coat a food with three different layers; dry layer, liquid, crumbs
12. method- pack the fat into a dry measuring cup, pressing firmly to eliminate pockets of space and to remove air bubbles, use a rubber scrapper to remove as much of the fat as possible
14. to coat a food with flour
15. and dice- cutting food into small, square pieces—cubed pieces are. ½ in; to dice pieces are 1/8 in
19. to lightly sprinkle a food with flour or confectioner’s sugar
20. to remove the center of a fruit
21. to cut off a very thin layer of peel with a paring knife
22. method- takes the fat out, can remove it from the water with a spoon
25. to remove a stone or seed from a fruit using a sharp knife
27. mix with a spoon or wire whisk in a circular motion
28. to divide a food into four equal pieces
29. to add flavor and texture; depends on the ingredients and desired results
32. to break or tear off small layers of food often cooked fish, with a fork
33. two or more ingredients thoroughly so they blend
37. to add flavor to a food by soaking it in a cold, seasoned liquid
38. to heats sugar until it liquefies and darkens in color
39. to beat quickly and vigorously to incorporate air into a mixture, making it light and fluffy
40. to add such flavorings as herbs and spices to food
41. to cut a food into large, thin pieces with a slicing knife
42. to heat liquid to just below the boiling point
46. to soak dry ingredients, such as tea, in hot liquid to extract flavor or soften the texture
47. dividing a food into smaller parts, using a tool with a sharp blade

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1. to make a liquid clear by removing solid particles
3. to remove the tough outer coating of a food, such as eggs or nuts
5. to mix ingredients by tumbling them with tongs or a large spoon or fork
6. to beat ingredients till they become soft and creamy
8. to dip a food briefly in boiling water and then cold water to sop the cooking process
11. to leave an opening in a container so steam can escape during cooking
13. make straight, shallow cuts with a slicing knife in the surface of a food
16. to grind or mash cooked fruits or vegetables until they are smooth
17. to boil a mixture in order to evaporate the liquid and intensify the flavor
18. to coat a food with liquid that forma a glossy finish
23. to separate water from solid food, by putting the food in a colander or strainer
24. to separate solid particles from a liquid, by pouring the mixture through a strainer or sieve
26. to zero out the weight of whatever was already on the scale
30. and shred- to cut food, such as cheese, into smaller pieces or shreds by pressing and rubbing against the rough surface of a grater
31. to crush food into a smoother mixture with a masher or beater
34. to mix thoroughly and add sir to foods
35. to use a grinder to break up a food into coarse, medium, or fine particles
36. to cut food into smaller pieces with kitchen shears
38. and mince- cut food into small, irregular pieces; to chop finely
41. method- where the wrapper is marked in tablespoons and in fractions of a cup
43. to loosen the flavorful food particles in a pan after food has been browned
44. to put small pieces of food on the surface of another food
45. to pour a liquid over a food as it cooks
47. to cook food in a sugar syrup

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6. Pairs of opposite angles formed by two intersecting lines (congruent angles). These angles share a common point at the vertices (corners), and large or small, they are mirror images of each other reflected across the vertex.
8. The angles which occupy the same relative position at each intersection where a straight line crosses two others. If those lines are parallel, then we can say that __________ are congruent.
9. A number or ratio expressed as a fraction of 100, often denoted using the sign %. This is a dimensionless number that has no unit of measurement. In order to find the _____ of a number, divide the number by whole and multiply by 100.
11. A(n) _________ is a decimal in which there is no end to the digits (non terminating), and the digits do not repeat in a predictable pattern. This can be written as a decimal, but not as a fraction. Examples include 𝛑 as well as √2.
14. The method of breaking down a number into its prime numbers that form the original number when multiplied. Also known as integer factorization, the various methods to calculate it are through the use of a factor tree (below) and/or the division method.
15. Plural form for a rectangular array of numbers written within brackets, represented with a capital letter, and classified by its dimensions. The dimensions are determined by the number of horizontal rows and the number of vertical columns.
16. Two lines on the same plane that never intersect each other regardless of how far apart they are extended from one another. Pictorially, they run along each other like the tracks of a train.
17. tbd
19. A term used to describe the highest number that can be divided evenly into two or more numbers. The ________ can be found by listing the factors of each number, and then identifying the greatest one shared. However, for larger numbers it will not be realistic to make a list, so it is therefore most efficient to use the prime factorization technique in this case.
20. The lowest positive quality that is a multiple of two or more given quantities. A multiple is any number that can be divided by the given number(s) without leaving a remainder. The different methods to find the ________ include prime factorization, repeated division, and multiples.

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1. tbd
2. A type of transformation that moves all points of a figure by the same amount in a given direction. Sometimes these are known as “slides” or “shifts”.
3. A method of expression in terms of a decimal number between 1 and 10 multiplied by a power of 10. It is used to express really large (positive exponents) or really small numbers (negative exponents). A calculator will indicate this using the symbol “E” to represent 10 to the power of # (the power will be the number after “E”).
4. tbd
5. The angles formed on the opposite sides of the transversal and inside the two lines the transversal crosses. If those lines are parallel, then we can say that _______ are congruent.
7. The angles formed on the same sides of the transversal and outside the two lines the transversal crosses. If those lines are parallel, then we can say that ____________ are supplementary.
10. A “flip” which maps every point of an image across a fixed line. The preimage and image are congruent, but they are mirror images of each other. Figures can be flipped over a point, line, or a plane.
12. Numbers that can be written as a ratio or fraction of two integers, a numerator and a non-zero denominator. All fractions and integers are __________, and so are all terminating or repeating decimals. Examples include ½ and 2.59.
13. A useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle. The _______ states that a² + b² = c², where a and b are legs and c must be the hypotenuse (longest side of the triangle that is opposite of the right angle).
18. A ______ turns the preimage around a fixed point, called the center of _____. The center may be any point, including the origin or a point on the pre-image. An object and its image after this translation are the same shape and size, but the figures may be turned in different directions.

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3. Plastics are made of large molecules called
9. Polymer chains with a few cross linking units that can trap water
10. Positively charged sub atomic particle
11. Carbon dioxide in the atmosphere causes this
15. A list of elements in order of their reactivity
17. When lithium burns in air the lithium reacts with oxygen. What product is formed
18. Another name for calcium hydroxide solution
20. Fuels made from plant or animal products
22. Fuel made from oils extracted from plants
27. Metal ions are attracted to this electrode in electrolysis
28. Steel is an alloy of which element
31. When aggregate is added to water, cement and sand, this material is formed
33. Crude oil is separated t using this method
34. The temperature at which liquid boils or the gas condenses
36. Hydrocarbon containing a double bond
40. Formed when nitrogen and oxygen react together
41. Magnesium carbonate decomposes to form carbon dioxide and which other substance
42. An insoluble solid formed by the reaction of two solutions
43. Ethanol is made by hydration of this substance
44. Used in foods to stop oil and water separating into layers
46. How many electrons does magnesium have on its outer electron shell
47. Fuel made from oils extracted from plants
49. Limestone is mainly made of this
54. Crude oil can be separated into different substances with similar boiling points. These are known as ……….
55. Mild steel contains a small amount of which element
57. A metal which is mixed with other elements is called an
59. Bonding which involves the sharing of electrons
60. Many monomers join together in this process
61. Alkane with three carbon atoms
62. To make lots of calcium oxide, a reaction is carried out in this furnace
63. The process of breaking down large hydrocarbon molecules
64. Drink bottles are made using this plastic
65. These orbit the nucleus
66. Used for aircraft fuel
67. A rock that contains a metal worth extracting
68. Metals that are more reactive than carbon are extracted using this method

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1. A substance that is made of only one type of atom
2. Emulsifiers contain a hydrophobic tail which is attracted to oil. What is the other end of emulsifier called
4. The breaking down of a substance using heat
5. Pure iron is not useful because it is too …..
6. Metal oxides react with carbon to form carbon dioxide and which other product
7. Bonding which involves the transfer of electrons
8. The simplest steel
10. Method of using plants to help extract copper
12. Iron is extracted from iron oxide by using carbon to remove oxygen. What is the name of the machinery used to extract it
13. This substance is used by farmers to improve soil that is acidic
14. A compound made of hydrogen and carbon only
16. Sulfur dioxide causes this
19. In power stations, sulphur dioxide is removed from the flue gases by reacting it with this substance
21. Fitted to car engines to reduce carbon monoxide and nitrogen oxides produced in a car engine
23. Removal of oxygen
24. Some metals can be found in their native state. This is because they are
25. Number of protons and neutrons in an atom
26. Method of using bacteria to help extract copper
29. Process of when a metal can be extracted from a compound by reacting with an element higher up in the reactivity series.
30. Calcium carbonate reacts with hydrochloric acid to give water, carbon dioxide and which other product
32. This gas is a reactant needed for combustion
35. Solid particles containing carbon and unburnt hydrocarbons
37. Process used to extract copper by heating
38. Number of protons in the nucleus of an atom
39. Maximum number of electrons in the second electron shell
45. Added to engines to remove particulates
48. Number of neutrons can be different even for the same element. These are called
49. This gas is a product of combustion
50. This gas is a product of incomplete combustion
51. Copper ore containing copper(I) sulfide
52. This substance is used to test for an unsaturated hydrocarbon
53. Copper ore containing copper carbonate
56. The tendency to turn into a gas
58. A substance made from one or more types of atoms chemically bonded together
59. Iron from a blast furnace that is poured into moulds and left to solidify
61. Used for fuel in car engines
63. Powdered limestone can be heated with powdered clay to make this

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3. On the most basic level, this term refers to the measurements describing the size of an object. For example, length and width are the ___ of a rectangle.
7. A system of equations in which each equation is linear.For any linear system, exactly one of the following will be true: There is only one solution, there are infinitely many solutions (consistent), or there are no solutions (inconsistent). A linear system with more equations than variables is called overdetermined, and a linear system with more variables than equations is called underdetermined.
12. The set of all real numbers between two given numbers. The two numbers on the ends are the endpoints. The endpoints might or might not be included in the interval depending whether the interval is open, closed, or half-open (same as half-closed).
13. The plane formed by a horizontal axis and a vertical axis, often labeled the x-axis and y-axis, respectively.
16. Any mathematical calculation or formula combining numbers and/or variables using sums, differences, products, quotients (including fractions), exponents, roots, logarithms, trig functions, parentheses, brackets, functions, or other mathematical operations. Expressions may not contain the equal sign (=) or any type of inequality.
17. The symbol, which is used to indicate square roots or nth roots. Also something TMNT say alot.
18. The largest integer that divides evenly into each of a given set of numbers.
23. An expression used to calculate a desired result, such as a ___ to find volume or a ___ to count combinations. ___ can also be equations involving numbers and/or variables
24. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first.
26. The numerical factor of a term.
28. Definition 1: Any of the symbols <, >, ≤, or ≥. Definition 2: A mathematical sentence built from expressions using one or more of the symbols <, >, ≤, or ≥.
29. The set of y-values of a function or relation. More generally, the range is the set of values assumed by a function or relation over all permitted values of the independent variable(s).
30. Terms which have the same variables and corresponding powers and/or roots.
31. As a noun, a term or expression with no variables. Also, a term or expression for which any variables cancel out.

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1. The pair of numbers giving the location of a point
2. On the coordinate plane, the point (0, 0). That is, the point of intersection of the x- and y-axes. On a number line, the origin is the 0 point. In three dimensions, the origin is the point (0, 0, 0).
4. To multiply out the parts of an expression. ___ is the opposite of factoring.
5. An interval that contains its endpoints.
6. A u-shaped curve with certain specific properties. Formally, a ___ is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus of points such that the distance to the focus equals the distance to the directrix.
8. A number which is used to indicate the steepness of a line, as well as indicating whether the line is tilted uphill or downhill. Slope is indicated by the letter m.
9. The number that occurs the most often in a list.
10. A relation for which each element of the domain corresponds to exactly one element of the range
11. The line passing through the focus and vertex of a parabola. The axis of symmetry is perpendicular to the directrix.
14. This is a letter of ancient Greece, which is frequently used in math and science.Δ δ
15. The mathematics of working with variables
19. Two or more inequalities taken together. Often this refers to a connected chain of inequalities, such as 3 < x < 5. Also known as a conjunction of two or more inequalities.
20. A number and it's opposite ___ of each other, the sum of a number and it's ___ is 0
21. x in the expression a root x.
22. A quantity that can change or that may take on different values. Variable also refers to a letter or symbol representing such a quantity.
24. The set of values of the independent variable(s) for which a function or relation is defined. Typically, this is the set of x-values that give rise to real y-values.
25. A fraction which has, as part of its numerator and/or denominator, at least one other fraction.
27. Another word for average. Or Mr. Alice when he's angry with us.

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4. Addition Property where (a+b) + c= a+ (b+c) and Multiplication Property where (ab)c=a(bc)
6. The highest or lowest point of a parabola. This is also known as the maximum or minimum value.
8. An equation that is used to show the relationship between variables. Example: V=1/2bh
10. Lines on a graph that have the same slope
11. A test to see if a relation is a function if no vertical line intersects the graph of the relation at more than one point.
13. Property that applies to both addition and multiplication where a(b+c)= ab +ac
14. The relation between two math expressions that are not equal. Involves using “>” greater than signs or “<” less than signs.
15. Collection of all input values. Example: D:{-2, -1, 1, 2, 3}
17. A model for growth of a quantity where the rate of growth is consistently increased from the original amount
19. A form of linear equation where Ax+By=C where A and B are not equal to zero.
21. Lines that intersect because their slopes are negative reciprocals of each other.
22. A line that a graph approaches as you move away from the origin
23. The distance the number is from 0 on a number line. The values will always be non-negative
26. A statement in which two mathematical expressions become equal. Involves using an “=” sign. Ex: 2+5=7
27. Equal to a term divided by one. The product of this and the original term are equal to one. This is usually considered the “flip” of a fraction
28. Positive numbers which also includes 0. {0, 1, 2, 3, 4…}
30. Property for solving polynomial equations that states if the product of two or more factors is equal to zero, then one of the factors should be zero.
31. A method of solving systems of equations, where one equation is solved for a variable. This equation is used to replace the same variable in the other equation in the system. Thus, the equation can be easily solved and in the terms of a single variable.
33. A mapping or pairing of input values with output values
34. A form of linear equations that is written as ax+by=c
36. An equation where two or more inequalities are joined together with either and/or. Example: x>5 and x<10
37. The ratio of vertical change (rise) to horizontal change (run). A number that describes the steepness of a line.
38. A quantity representing the power to which a given number or expression is to be raised.
39. The amount of time it takes for a substance to diminish by half. This is found by using the formula y=Amount/2^x
40. A curve on a coordinate plane that are represented by quadratic functions.

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1. The numerical portion of a term that has a variable
2. The difference in the y-values of two points in a line.
3. A mathematical expression consisting of only two terms
5. The product of a rational number multiplied by itself. Example: 4, 16, 25, 36, etc.
7. A formula that is used to solve quadratic equations in the form of ax^2+bx+c, where x is the variable and a,b,c are constants that are input into the formula to solve for x.
9. A rule that establishes a relationship between two quantities called the input (x) and the output (y).
12. A vertical line on a coordinate plane that divides a parabola into two congruent halves.
16. A formula used to model the vertical motion of an object, whether it is falling, thrown down, or thrown straight up.
18. Collection of all output values. Example: R:{-3, -2, 1, 3}
20. A value in a set of data that is either much smaller or larger than the other values in the set of data.
24. A mathematical expression consisting of three terms
25. Numbers that when written as a decimal, do not terminate or repeat.
29. An unknown quantity within an mathematical problem that is expressed by a letter. Ex: (a, x)
32. A mathematical expression with more than three terms. Can be ordered from highest to lowest exponent in standard form.
35. Negative and Positive numbers including 0, that can only be expressed without fractions.
41. The difference in the x-values of two points on a line.

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4. light that is not naturally occurring
5. how blurry or clear an image is
9. a photographing technique that uses lines to naturally guide the viewer's eyes around the photo
10. a nondestructive way to hide parts of an image or layer without erasing them, useful for manipulating specific parts of an image
12. image file type that requires specific programs to open due to the amount of unprocessed data
14. digital art that is rendered by a computer using a mathematical formula
16. camera company that made the first commercially available camera, started by inventor George Eastman
18. compression method that uses inexact approximations and partial data discarding to represent the content
19. a camera angle which is taken from above
21. abbreviation for cyan, magenta, yellow, black; subtractive color model
23. abbreviation for red, gree, blue; additive color model
27. type of intellectual property that gives its owner the exclusive right to it
28. a photography technique that divides the photo into thirds and places the main subject in only one third of the frame
29. the length of time that the film or digital sensor inside the camera is exposed to light when taking a photograph, most commonly measured in fractions of a second
30. an image format most commonly used for short moving images
31. type of photographic lighting modifier that diffuses light
33. the distance (measured in millimeters) between the point of convergence of your lens and the sensor or film recording the image
34. the amount of light that reaches your camera's sensor, creating visual data over a period of time, made up of ISO, aperture, and shutter speed
35. how sensitive the camera sensor is to light, can impact image quality, usually ranges from 100-3200
37. a photographing technique that consists of the subject being placed a background with little detail in order to emphasize the subject
42. a lighting style that is named after the shape of the shadow it produced under the nose
45. allows you to lighten specific areas of your image without affecting hue or saturation
46. allows you to hide all parts of the bottom object that are outside the clip object, defines the visible boundaries of a layer
47. a color scheme where the color group has similarities
48. a light whose purpose is to separate the hair from the background
49. a lens that can be used for up close images/images of small subjects but still captures high amounts of detail
50. abbreviation for pixels per inch

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1. a photograph taken by an early photographic process which uses an iodine-sensitized silvered plate and mercury vapor
2. photographing technique that uses naturally occuring shapes & frames to emphasize the subject
3. tool that removes unwanted spots, marks, or small objects in your image
6. a type of external flash that attaches to the camera at the hot shoe
7. stands for Serial Digital Interface and is a transmission protocol for sending uncompressed digital video signals
8. common image format that compresses the image
11. a lens with a longer focal length than standard, giving a narrow field of view and a magnified image
13. made up of tiny pixels, making them resolution dependent and best used for creating photos
15. part of the exposure triangle, measured in f/stop
17. lighting that the photographer did not bring
20. a device inside the camera that allows the camera to convert photons (light) into electrical signals that can be interpreted by the device
22. the main source of light of the photograph
24. a device that opens and closes to expose the film in a camera, length of time that it is open is controlled by the shutter speed
25. abbreviation for the file exported from photoshop
26. abbreviation that stands for digital single lens reflex
32. dial on a DSLR camera that allows the user to switch the mode that the camera shoots in (ie: manual, auto, portrait, landscape, etc.)
36. how much/how little of your background is in focus, controlled by aperture
38. a photoshop tool that copies pixels from one area and applies them to another
39. merges all of the layers of the image into a single layer, has the same appearance it had before
40. measure of how much light is collected, most applicable to aperture
41. the state of belonging or being available to the public as a whole, and therefore not subject to copyright.
43. responsibility, power, and dignity to how we we take and share photographs
44. changes the appearance of an image or part of an image by altering the shades and colors of the pixels in some manner

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4. an image instead of words, such as + meaning “plus”
6. a plan shape with straight sides
8. the number above the line in a vulgar fraction
10. the number which appears most frequently in a set of numbers
14. If two ratios are equal; they are said to be in p____________.
17. the area of maths that deals with points, lines, shapes and space.
18. what unit you would use to measure the length of a pool
19. positive and negative whole numbers
22. the chance that something will happen
23. the length from the centre of a circle to the outside edge
24. meaning half of something
29. an angle that is exactly 180 degrees
32. dividing by two
33. when one shape becomes exactly like another if you flip, slide or turn it.
34. the study of how to collect, summarise and present data
35. a whole number that can only be divided evenly by 1 and itself
36. the number below the line in a vulgar fraction
37. to reduce (an equation, fraction etc.) to a simpler form
38. an angle that is exactly 360 degrees
39. a set of values that show an exact position, normally on a Cartesian plane
41. the highest number that can be divided exactly into 2 (or more) numbers
44. what unit you would use to measure your foot
47. going side to side, like to horizon
49. to find the number or answer
51. the amount that something can hold, like 1 litre in a milk carton
53. the amount of 3-dimensional space an object occupies
54. the result of subtracting one number from another
55. an angle that is greater than 180 degrees
56. the average of a number set
59. what unit you would use to measure distance between Dromana and Melbourne
60. an angle that is exactly 90 degrees
61. a number that uses a decimal point followed by digits that show a value smaller than one
63. the distance from end to end
64. the middle number in a sorted list
66. a collection of facts such as numbers, words or measurements
70. a list of numbers in a special order
71. the product of a number multiplied by itself is called a __________ number eg. 1, 4, 9, 16

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1. the result of multiplying a number by an integer (not a fraction)
2. in an up-down direction or position, upright
3. a number sentence that says two things are equal
5. taking one number away from another
7. a mathematical process such as addition, subtraction, multiplication and division
9. The _________ system is a system of measuring used in Australia
11. the lowest quantity that is the multiple of 2 (or more) numbers
12. the answer after you divide one number by another
13. a measure for angles
15. the answer when two or more numbers are multiplied together
16. a numerical quantity that is not a whole number
20. the result of adding two or more numbers
21. a whole number that can be divided evenly by a number other than 1 or itself is called a _________ number
22. equal distance apart, never touching, //
25. opposite in effect, the reverse of
26. the perimeter of a circle
27. replacing letters with numbers, used in algebra
28. the amount of turn between two straight lines that meet at a point (measured in degrees)
30. an angle that is less than 90 degrees
31. repeated addition, the process or skill of multiplying
40. the length from one side of a circle to the other, passing through the centre
42. what unit you would use to measure an ant
43. parts per 100, a ratio out of 100
45. numbers, symbols and operators and
46. to find the answer for a problem
48. the part of maths in which letters and other symbols are used to represent numbers
49. to remove brackets
50. finding the total by combining two or more numbers
51. to draw something
52. the distance around a two-dimensional shape
57. splitting a number into equal parts of groups
58. number we can multiply together to get another number
62. an angle that is between 90 and 180 degrees
65. the exponent or power
67. the size of a surface or amount of space inside the boundary of a 2-dimensional object
68. multiply by two
69. how much matter is in an object, like 1 kilogram of gold

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4. an image instead of words, such as + meaning “plus”
6. a plan shape with straight sides
8. the number above the line in a vulgar fraction
10. the number which appears most frequently in a set of numbers
14. If two ratios are equal; they are said to be in p____________.
17. the area of maths that deals with points, lines, shapes and space.
18. what unit you would use to measure the length of a pool
19. positive and negative whole numbers
22. the chance that something will happen
23. the length from the centre of a circle to the outside edge
24. meaning half of something
29. an angle that is exactly 180 degrees
32. dividing by two
33. when one shape becomes exactly like another if you flip, slide or turn it.
34. the study of how to collect, summarise and present data
35. a whole number that can only be divided evenly by 1 and itself
36. the number below the line in a vulgar fraction
37. to reduce (an equation, fraction etc.) to a simpler form
38. an angle that is exactly 360 degrees
39. a set of values that show an exact position, normally on a Cartesian plane
41. the highest number that can be divided exactly into 2 (or more) numbers
44. what unit you would use to measure your foot
47. going side to side, like to horizon
49. to find the number or answer
51. the amount that something can hold, like 1 litre in a milk carton
53. the amount of 3-dimensional space an object occupies
54. the result of subtracting one number from another
55. an angle that is greater than 180 degrees
56. the average of a number set
59. what unit you would use to measure distance between Dromana and Melbourne
60. an angle that is exactly 90 degrees
61. a number that uses a decimal point followed by digits that show a value smaller than one
63. the distance from end to end
64. the middle number in a sorted list
66. a collection of facts such as numbers, words or measurements
70. a list of numbers in a special order
71. the product of a number multiplied by itself is called a __________ number eg. 1, 4, 9, 16

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1. the result of multiplying a number by an integer (not a fraction)
2. in an up-down direction or position, upright
3. a number sentence that says two things are equal
5. taking one number away from another
7. a mathematical process such as addition, subtraction, multiplication and division
9. The _________ system is a system of measuring used in Australia
11. the lowest quantity that is the multiple of 2 (or more) numbers
12. the answer after you divide one number by another
13. a measure for angles
15. the answer when two or more numbers are multiplied together
16. a numerical quantity that is not a whole number
20. the result of adding two or more numbers
21. a whole number that can be divided evenly by a number other than 1 or itself is called a _________ number
22. equal distance apart, never touching, //
25. opposite in effect, the reverse of
26. the perimeter of a circle
27. replacing letters with numbers, used in algebra
28. the amount of turn between two straight lines that meet at a point (measured in degrees)
30. an angle that is less than 90 degrees
31. repeated addition, the process or skill of multiplying
40. the length from one side of a circle to the other, passing through the centre
42. what unit you would use to measure an ant
43. parts per 100, a ratio out of 100
45. numbers, symbols and operators and
46. to find the answer for a problem
48. the part of maths in which letters and other symbols are used to represent numbers
49. to remove brackets
50. finding the total by combining two or more numbers
51. to draw something
52. the distance around a two-dimensional shape
57. splitting a number into equal parts of groups
58. number we can multiply together to get another number
62. an angle that is between 90 and 180 degrees
65. the exponent or power
67. the size of a surface or amount of space inside the boundary of a 2-dimensional object
68. multiply by two
69. how much matter is in an object, like 1 kilogram of gold

Across

2. : an algebraic equation that takes you two steps to solve
7. : given, felt, or done in return
9. : the line above a repeating decimal
13. : P.E.M.D.A.S.
14. : not consistent or having a fixed pattern; liable to change
17. : if you divide each side of an equation by the same number it will stay the same
19. : if the top and bottom have no common factors other than 1
21. : something that you put icecream in
24. : a polynomial that contains only a single non-zero term
26. : the middle of something
28. : a way say to place
29. : inequalities that have no exponents on the variable that require two steps to solve
30. : the opposite of nice
32. : plural of opposite
33. : a piston chamber in a steam or internal combustion engine.
34. : two thing that share similar attributes
35. : a tax imposed on the sale of goods and services
39. : the middle number in a sorted list of numbers
40. : a closed figure made up of line segments in a two-dimensional plane.
41. : form an idea of the amount, number, or value of; assess
42. : something that has an = showing that two things are equal
43. : a word or phrase used to describe a thing or to express a concept, especially in a particular kind of language or branch of study Terminating decimal : decimals that have a finite number of decimal places
45. : equal in value, amount, function, meaning
46. : the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
49. : the product of a number and its multiplicative inverse is 1
50. : something that is identical to something else
58. : if you add the same number to each side of of an equation it will be equal
61. : the state of wanting to know or learn about something or someone
62. : a unit of linear measurement of magnifying power.
63. : a combination of numbers with an operation
65. : to bring something new into working condition.
66. : A ratio that compares the change in a quantity to the original number
68. : a book forming part of a work or series
69. : an algebraic statement where each term is either a constant or a variable raised to the first power
71. : The bottom of a tower
72. : an angle of 180°
73. : a decimal fraction in which a figure or group of figures is repeated indefinitely

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1. : if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal
3. : those angles that sum up to 180 degrees
4. : first in importance
5. : multiplying numbers in a parenthesis separately
6. : a means of solving a problem or dealing with a difficult situation
8. : factor that measures some property
10. : subtracting the same number from both sides of an equation does not affect the equality
11. : a constant ratio of 2 variables
12. : An Isosceles triangle is a triangle that has two equal sides.
15. : an angle of 90°
16. : two angles that add to 90 degrees
18. : corresponding in size or amount to something else.
20. : The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
22. : angel bigger than 90 degrees
23. : angels that that don’t overlap
25. : the smallest number divisible by all denominators of the given set of fractions
27. : the distance a number is from 0
31. : describes the ratio of two different units for the quantity of one
36. : a thing complete in itself
37. : plural of factors
38. : a part, share, or number considered in comparative relation to a whole.
44. : lack of equality
47. : distance around a circle
48. : an interest charge that borrowers pay lenders for a loan
51. : 2 ratios with an inconsistent rate or ratio
52. : paying of debt
53. : any number that can be written as a fraction
54. : a fixed price paid or charged for something, especially goods or services
55. : a tool in the fields of general mathematics, probability, and statistics that helps calculate the number of possible outcomes
56. : a sum of money customarily given by a customer to certain service sector workers
57. : The area occupied by a three-dimensional object by its outer surface
59. : the thicker and shorter of the two bones in the human forearm
60. : something that repeatedly happens
64. : the chance that a given event will occur
67. : 3.1415926
70. : a polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms

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2. Used for baking muffins, rolls, and cupcakes. These pans are available in 6-and 12-cup capacities
7. Toasts bread, heats up food, and bakes small amounts of many foods. Some toaster ovens can broil food.
13. Used to mix and whip foods quickly and easily than can be done with a spoon or whisk. Often used to beat egg whites.
14. A thermostat controls the temperature of the skillet. This appliance is useful for frying, roasting, and steaming.
15. Used to grip and lift hot, bulky foods, such as broccoli spears
17. Usually come in a set of several sizes. Used to measure dry ingredients. A typical customary set includes ¼ cup, 1/3 cup, ½ cup, and 1 cup measures.
18. Used to lift and turn flat foods such as hamburgers and pancakes
19. Similar to a cookie sheet, except with flour shallow sides about 1 inch deep.
20. A deep pot with a heating element in the base that allows food to cook slowly over many hours. It’s a convenient way to cook one-dish meals such as stews.
21. For draining pasta and other foods after cooking and for draining fresh produce after washing
22. A large spoon with long narrow holes in it
24. Has a small bowl and a long handle for dipping hot liquids from a pan
25. A tool used to mix a hard (solid) fat into flour in order to make pastries.
26. A small appliance that ranges in size, speed settings and comes freestanding or mounted on a base. Used to mix foods that require time and endurance: whipping cream, whipping egg whites, mixing batter, etc.
28. A covered piece of cookware for baking and serving food. A casserole dish usually refers to a deep, round, ovenproof container with handles and a tight-fitting lid. It can be glass, metal, ceramic or any other heatproof material.
32. Have one long handle and often come with a cover. Some have a small handle on the opposite side as well. Usually made of metal or heatproof glass.
34. An invisible wave of energy that causes water molecules to rub against each other and produce the heat that cooks food.
35. A rectangular baking pan available in a variety of sizes. Used for baking breads, cakes and meat loaves.
36. A free standing motorized appliance with a bowl and interchangeable mixing tools, typically a dough hook, paddle, and whisk, some can be accessorized further to grind meat, roll pasta, juice, even stuff sausage.

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1. Used for many mixing tasks. Different sizes and shapes are available.
3. Sometimes called "frypans" or "frying pans." Used for browning and frying foods. Vary in size and often having matching covers
4. An appliance used to puree, chop, grate, slice and shred foods. Consists of a bowl placed on a motorized drive shaft. An S-shaped blade on the bottom of the bowl processes food, which can be fed into the bowl through an opening or tube on top.
5. The best way to be sure meats, poultry and fish are cooked to a safe. Inserted into meat and poultry and left in during cooking.
6. A long tube with a bulb on the end used for suctioning up juices for basting
8. Transparent and have measurement markings on the side. Used to measure liquids. They are typically marked in fractions of a cup, fluid ounces, and milliliters.
9. A balloon-shaped device made of wire loops held together by a handle. Used for mixing, stirring, beating, and whipping.
10. Generally come in sets of four or five. Can be used to measure both liquid and dry ingredients.
11. Tall, covered pots, usually 4-quart size or larger, perfect for cooking soups, stews, lobster and pasta
12. A container with a fine wire screen at the bottom and a blade that forces dry ingredients through the screen.
16. Use to remove a thin peel from apples, potatoes and carrots. Is much easier to use than a knife.
18. Browns bread products on both sides at the same time. You set the controls for the degree of browning. Two- and Four- slice models are available.
19. Small countertop appliance with a tall narrow container used for blending, chopping and liquefying.
23. A knife with a large heavy blade used for cutting large pieces of meat
27. Cooking appliances used to brew coffee.
28. Small, deep, bowl shaped glass dish with a flat bottom that can range from 6 to 10 ounces. These heatproof bowls can be used to bake popovers and individual custards.
29. When measuring dry ingredients, this spatula is handy for leveling off the measuring cup. It’s also helpful when frosting a cake.
30. Different size of opening on each side for shredding cheeses and vegetables and for grating fruit peels. Other types are available, but all should have several sizes of openings for a variety of shredding and grating.
31. Shallow, round pans with slanted sides.
33. A metal container used for baking a cake

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4. the part of mathematics concerned with the size, shape and relative position of figures, or the study of lines, angles, shapes and their properties
5. a number that will divide into another number exactly, e.g. the factors of 10 are 1, 2 and 5
8. a step by step procedure by which an operation can be carried out
9. a line on which all points correspond to real numbers (a simple number line may only mark integers, but in theory all real numbers to +/- infinity can be shown on a number line)
12. a real number which expresses fractions on the base 10 standard numbering system using place value, e.g. 37⁄100 = 0.37
13. the number of unique digits (including zero) that a positional numeral system uses to represent numbers, e.g. base 10 (decimal) uses 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in each place value position; base 2 (binary) uses just 0 and 1; base 60 (sexagesimal, as used in ancient Mesopotamia) uses all the numbers from 0 to 59; etc
14. a branch of mathematics involving derivatives and integrals, used to study motion and changing values
16. whole numbers, both positive (natural numbers) and negative, including zero
19. the ratio of two quantities (equivalent to approximately 1 : 1.6180339887) where the ratio of the sum of the quantities to the larger quantity equals the ratio of the larger quantity to the smaller one, usually denoted by the Greek letter phi φ (phi)
20. the ordered pair that gives the location or position of a point on a coordinate plane, determined by the point’s distance from the x and y axes, e.g. (2, 3.7) or (-5, 4)
21. the operation in calculus (inverse to the operation of integration) of finding the derivative of a function or equation
22. a relation or correspondence between two sets in which one element of the second (codomain or range) set ƒ(x) is assigned to each element of the first (domain) set x, e.g. ƒ(x) = x2 or y = x2 assigns a value to ƒ(x) or y based on the square of each value of x

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1. the set of positive integers (regular whole counting numbers), sometimes including zero
2. numbers any integer, ration or real number which is less than 0, e.g. -743, -1.4, -√5 (but not √-1, which is an imaginary or complex number)
3. a way of writing rational numbers (numbers that are not whole numbers), also used to represent ratios or division, in the form of a numerator over a denominator, e.g. 3⁄5 (a unit fraction is a fraction whose numerator is 1)
6. the factors of the terms (i.e. the numbers in front of the letters) in a mathematical expression or equation, e.g. in the expression 4x + 5y2 + 3z, the coefficients for x, y2 and z are 4, 5 and 3 respectively
7. an algebraic equation in which each term is either a constant or the product of a constant and the first power of a single variable, and whose graph is therefore a straight line, e.g. y = 4, y = 5x + 3
8. a branch of mathematics that uses symbols or letters to represent variables, values or numbers, which can then be used to express operations and relationships and to solve equations
10. a rule or equation describing the relationship of two or more variables or quantities, e.g. A = πr2
11. in geometry, a one-dimensional figure following a continuous straight path joining two or more points, whether infinite in both directions or just a line segment bounded by two distinct end points
14. a measure of relationship between two variables or sets of data, a positive correlation coefficient indicating that one variable tends to increase or decrease as the other does, and a negative correlation coefficient indicating that one variable tends to increase as the other decreases and vice versa
15. a measure of how a function or curve changes as its input changes, i.e. the best linear approximation of the function at a particular input value, as represented by the slope of the tangent line to the graph of the function at that point, found by the operation of differentiation
16. a quantity or set of numbers without bound, limit or end, whether countably infinite like the set of integers, or uncountably infinite like the set of real numbers (represented by the symbol ∞)
17. value the amount predicted to be gained, using the calculation for average expected payoff, which can be calculated as the integral of a random variable with respect to its probability measure (the expected value may not actually be the most probable value and may not even exist, e.g. 2.5 children)
18. the part of mathematics that studies quantity, especially as the result of combining numbers (as opposed to variables) using the traditional operations of addition, subtraction, multiplication and division (the more advanced manipulation of numbers is usually known as number theory)

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3. Figures that have the same shape but not neccesarily the same size.
9. the measure used to find the space of an 3D object.
11. Pairs of operations that undo each other.
15. To get rid of numbers.
16. Points close together in a scatter plot.
18. each part of an algebraic expression separated by an addition or subtraction sign.
20. The rate of change between any two points on a line.
21. Also called a flip.
22. A number that cannot be expressed as a fraction.
25. 5,500=5.5*10^3
28. A product of repeated factors using an exponent and a base.
30. Terms that contain the same variable to the same power.
34. An ordered pair that is a solution of both equations.
37. _________ Is the same measure.
41. 3-d figure with one circular base.
43. The vertical change between any two points on a line.
45. The pairs of angles formed on the same side of the transversal and in the same relative position.
50. A property that states to find the power of a power, multiply the exponents.
53. a statement or conjecture that can be proven.
55. The line over which a figure is reflected in a transformation.
59. Uses dots to represent values For different numerical variables.
65. The degree measure of the angle through which a figure is rotated _________________.
68. What is this form called? (x-coordinate,Y-coordinate)
69. the first number of an ordered pair
70. an algebraic model that can be used to find the exact solution of a system of equations.
71. To fall in a straight line.
72. The set of Y-coordinates in an equation.
73. A property that states to multiply powers with the same base, add their exponents.
74. A relation in which each member of the input is paired with exactly one member of the output.
75. An angle inside of a polygon.

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1. y = mx + b
2. In the equation 64=4^3, what does the 4 represent?
4. The opposite of the Pythagorean theorem.
5. Alike to something else.
6. Integers, fractions, mixed numbers, and whole numbers are all what?
7. Two lines that intersect to form right angles.
8. The angle between a side of a rectilinear figure and an adjacent side extended outward.
10. a line that intersects two or more other lines.
12. if a^2=b then a is the ___________ of b.
13. The beginning or starting point.
14. A property that states to divide powers with the same base,subtract their exponents.
17. A way to write a repeating decimal by putting a bar or line over the repeating number.
19. the x coordinate of the point where the line crosses the x-axis
23. An equation with a graph that is a straight line.
24. a rule that states that any nonzero number to the power is equivalent to one.
26. The side opposite to the right angle in a right triangle is known as the _________?
27. Lines that never cross or intersect.
29. A number whose square root is a perfect number.
31. a set of two or more equations with the same variables.
32. The number that contains a variable.
33. The number that is the common factor is the _________.
35. The set of x-coordinates in a relation.
36. numbers written without exponents.
38. The resulting figure after a transformation.
39. To enlarge or reduce.
40. A property that states to find the power of a product,find the power of each exponent then multiply.
42. An equation in which the graph of the solutions form a line.
44. a rate in which the first quantity is compared to one unit of the second quantity.
46. The result of repeated division used to represent very small numbers.
47. In the equation 10^7, what does the seven represent?
48. A function whose rate of change is not constant.
49. A number whose cube root is an integer.
51. The horizontal change between any two points on a line.
52. A^2+B^2=C^2
53. a decimal where there is no repeating digit.
54. The original figure before a transformation.
56. A three dimensional figure with two parallel congruent circular bases connected by a curved surface.
57. A transformation in which a figure is turned about a fixed point.
58. the second number of an ordered pair
60. The ratio of the length of two corresponding sides of two similar polygons.
61. An operation that Maps a shape, or pre-image onto a new figure.
62. a symbol that is usually a letter used to represent a number in mathematical expressions.
63. A term with no variable.
64. A transformation that slides a figure from one position to another without turning it.
66. The two sides that represent a and b on a right triangle.
67. the y coordinate of the point where the line crosses the y-axis.

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1. The rate of change of velocity over time
3. The process of using the first derivative and second derivative to graph a function or relation
7. The rate of change of the position of an object
9. An integration method that essentially involves using the chain rule in reverse using 'u'
12. A major theorem of calculus that relates values of a function to the value of its derivative
15. Varying in such a way that it either never decreases or never increases
16. A theorem of calculus that ensures the existence of a critical point between any two points on a 'nice' function that has the same y-value
21. The change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by thechange in the x-value for two distinct points on the graph
23. A graph or part of a graph that looks like a right-side-up bowl or part of a right-side-up bowl
25. A point (x,y) on the graph of a function at which the derivative is either 0 or undefined
27. The process of finding an integral, either a definite integral or an indefinite integral
30. A theorem verifying that the graph of a continuous function is connected
32. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed
33. A function that gives the slope of a curve: that is, the slope of the line tangent to a function
34. The lowest point in a particular section of a graph
37. Either a limit from the left or a limit from the right
41. A "number" that indicates a quantity, size, or magnitude that is larger than any real number
44. An extreme value of a function. In other words, the minima and maxima of a function. May be relative or absolute
46. A method for determining whether a critical point is a minimum, maximum, or neither
47. An integral which is evaluated over an interval
48. A point at which the graph of a relation or function is not connected
49. A discontinuity for which the graph steps or jumps from one connected piece of the graph to another
50. The family of functions that have a given function as a common derivative

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2. A removable discontinuity is a point on the graph that is undefined or does not fit the rest of the graph
4. A technique for finding the volume of a solid of revolution
5. The highest point over the entire domain of a function or relation
6. A point at which a curve changes from concave up to concave down
8. A graph or part of a graph that looks like an upside-down bowl or part of an upside-down bowl
10. The change in the value of a quantity divided by the elapsed time
11. A class of problems in which rates of change are related by means of differentiation
13. The magnitude of a real number without regard to its sign
14. A formula for the derivative of the product of two functions
17. An approximation of the definite integral. Has three methods: Left, Right, and Trapezoidal
18. A line about which a plane figure is rotated in three-dimensional space to create a solid or surface
19. The lowest point over the entire domain of a function or relation
20. d/dx f(g(x))=f'(g(x))g'(x)
22. A function that has a given function as its derivative
24. Theorem of Calculus The theorem that establishes the connection between derivatives, antiderivatives, and definite
26. A method for determining whether a critical point is a relative minimum or maximum
28. A technique for finding the volume of a solid of revolution. This method is a specific case of volume by parallel cross-sections
29. The value that a function or expression approaches as the domain variables approach a specific value
31. A line that touches a curve at a point without crossing over. Formally, it is a line that intersects the differentiable curve at a point where the slope of the curve equals the slope of the line
35. A method for finding the derivative of an implicitly defined function or relation
36. The unbroken and consistent existence or operation of something over a period of time
38. A technique used to evaluate limits of fractions that evaluate indeterminate expressions. This is done by finding the limit of the derivatives of the numerator and denominator
39. A formula for the derivative of the quotient of two functions
40. A tiny or infinitesimal change in the value of a variable
42. A circle of unit radius that is, a radius of 1
43. The highest point in a particular section of a graph
45. A technique for finding the volume of a solid of revolution. A generalized version of the disk method

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1. , The coordinate plane is a two-dimension surface formed by two number lines.
3. , The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
4. Number , The positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well.
7. , The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane.
11. , The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane.
13. , A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
15. , a perfect cube of a number, is a number that is equal to the number, multiplied by itself, three times
17. The number which produces a given number when cubed
18. , Linear pair of angles are formed when two lines intersect each other at a single point.
20. , Vertical angles are angles opposite each other where two lines cross.
21. , when two figures have the same shape but their sizes are different, then such figures are called similar figures.
22. ,The volume of sphere is the amount of space occupied, within the sphere.
24. , Expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion.
27. , A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
28. ,The longest side of a right triangle, opposite the right angle.
29. , Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.
33. Pair) , An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
36. A quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression
37. , One of a pair of angles on opposite sides of a line intersecting two other lines and outside the two intersected lines.
39. , Dilation is a transformation, which is used to resize the object.

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2. , Pythagorean triples are a2+b2 = c2 where a, b and c are the three positive integers.
5. , Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
6. , An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero.
8. of Symmetry) , Reflection symmetry is also known as line symmetry or mirror symmetry. It states that if there exists at least one line that divides a figure into two halves such that one half is the mirror image of the other half.
9. , A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
10. , The √ symbol that is used to denote square root or nth roots.
12. , a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
14. , Corresponding sides are the sides that are in the same position in any different 2-dimensional shapes.
16. , A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
19. , Same side interior angles are two angles that are on the interior of (between) the two lines and specifically on the same side of the transversal.
23. , Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
25. Square, The product of a rational number multiplied by itself.
26. , A number without fractions; an integer.
30. , Real numbers can be defined as the union of both rational and irrational numbers.
31. , Translation: Sliding: moving a shape without rotating or flipping it.
32. , Exactly equal shape and size.
34. Theorem , Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
35. , Transversal: A line that crosses at least two other lines
38. , Not expressible as a ratio of two integers and having an infinite and nonrecurring expansion when expressed as a decimal.

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4. The state of matter where the particles are arranged randomly and close together. The particles are able to move past each other.
11. A separation technique to obtain soluble solids from solutions. The process involves heating the solution until crystals start to form, leaving the solution to cool and then filtering the formed crystals from the solution.
12. The strong forces of attraction between oppositely charged ions.
15. Atoms of the same element with the same number of protons but a different number of neutrons.
17. The elements in Group 0 of the periodic table. They have a stable full outer shell of electrons which makes them very unreactive.
18. A substance which is dissolved in a solvent to create a solution.
19. Elements that react to form positive ions. Found to the left and towards the bottom of the periodic table.
20. A type of chromatography which uses paper as the stationary phase and a solvent as the mobile phase. The solvent carries the mixture up the paper where the substances in the mixture then separate, depending on how soluble they are in the mobile phase.
21. A value used in chromatography which is calculated as the distance travelled by the dissolved substance divided by the distance travelled by the solvent. It can be used to identify substances within a mixture.
22. A row of the periodic table. Elements in the same period have the same number of electron shells.
24. A column of the periodic table. Elements in the same group have similar chemical properties.
25. The fluid (gas or liquid) which moves through the chromatography system, carrying the mixture which is to be separated.
28. The chemistry definition of a pure substance is a substance which contains only one compound or element. Pure substances have fixed melting and boiling points.
30. A solution which contains the maximum amount of solute that can be dissolved in the solvent. If any more solute is added, it will not dissolve in the solution.
31. A separation technique used to separate an insoluble solid from a solution.
32. A substance which dissolves a solute.
33. Positively charged subatomic particle present in the nucleus of the atom. Relative mass of 1.
34. The smallest part of an element that can exist. All substances are made up of atoms. Atoms contain a positively charged nucleus surrounded by negatively charged electrons.
35. Negatively charged subatomic particle which orbits the nucleus at various energy levels. Very small relative mass (negligible).
36. The state of matter where the particles have the most energy. The particles in a gas are relatively spread out and move randomly in all directions.
37. The non moving phase which the mobile phase passes over during chromatography.
38. Positively charged object composed of protons and neutrons at the centre of every atom with one or more electrons orbiting it.
39. A homogeneous mixture in which a solute is dissolved in a solvent.

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1. Elements that react to form negative ions. Found towards the right and top of the periodic table.
2. The number of protons in the nucleus.
3. The symbols used in chemical equations to denote the states of the chemicals reacting: (s) - solid, (l) - liquid, (g) - gas, (aq) - aqueous solution.
5. The forces which exist between molecules. The strength of the intermolecular forces impact physical properties like boiling/melting point.
6. Unreactive. Inert electrodes are used in electrolysis to prevent the electrode material affecting the reactions. The noble gases are also described as being inert.
7. Table of elements arranged in order of increasing atomic number and such that elements with similar properties are in the same column (group).
8. Particles smaller than an atom. Protons, neutrons and electrons are the three most common subatomic particles.
9. Different energy levels in atoms, occupied by electrons.
10. A substance made up of only one type of atom.
13. Contains at least two different elements or compounds which are not chemically bonded together. Mixtures may melt or boil over a range of temperatures.
14. A substance made up of two or more types of atoms chemically combined together.
16. A process used to separate a mixture of liquids. The liquids have different boiling points so can be separated into different fractions within a fractionating column.
23. A separation technique used to separate a liquid from a solution. The solution is heated so that only the liquid with the lowest boiling point evaporates. This gas is then condensed in a condenser before being collected as a liquid.
26. Neutral subatomic particle present in the nucleus of the atom. Relative mass of 1.
27. A process used to separate substances in a mixture. It involves a mobile phase and a stationary phase.
29. The state of matter where the particles hold a regular arrangement and have the least amount of energy.

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2. A useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle. The _______ states that a² + b² = c², where a and b are legs and c must be the hypotenuse (longest side of the triangle that is opposite of the right angle).
3. The constant multiplier is often called the ______ or growth factor. This can help you determine the type of sequence it is.
8. A ______ turns the preimage around a fixed point, called the center of _____. The center may be any point, including the origin or a point on the pre-image. An object and its image after this translation are the same shape and size, but the figures may be turned in different directions.
9. Plural form for a rectangular array of numbers written within brackets, represented with a capital letter, and classified by its dimensions. The dimensions are determined by the number of horizontal rows and the number of vertical columns.
10. A term used to describe the highest number that can be divided evenly into two or more numbers. The ________ can be found by listing the factors of each number, and then identifying the greatest one shared. However, for larger numbers it will not be realistic to make a list, so it is therefore most efficient to use the prime factorization technique in this case.
17. The method of breaking down a number into its prime numbers that form the original number when multiplied. Also known as integer factorization, the various methods to calculate it are through the use of a factor tree (below) and/or the division method.
18. The angles formed on the opposite sides of the transversal and inside the two lines the transversal crosses. If those lines are parallel, then we can say that _______ are congruent.
19. A number or ratio expressed as a fraction of 100, often denoted using the sign %. This is a dimensionless number that has no unit of measurement. In order to find the _____ of a number, divide the number by whole and multiply by 100.
20. Two lines on the same plane that never intersect each other regardless of how far apart they are extended from one another. Pictorially, they run along each other like the tracks of a train.

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1. The angles which occupy the same relative position at each intersection where a straight line crosses two others. If those lines are parallel, then we can say that __________ are congruent.
4. The angles formed on the same sides of the transversal and outside the two lines the transversal crosses. If those lines are parallel, then we can say that ____________ are supplementary.
5. Sequences in which the ratio between any two terms is constant. To identify a sequence such as this, check to see if one term goes to the next by always multiplying by the same value (common ratio).
6. A method of expression in terms of a decimal number between 1 and 10 multiplied by a power of 10. It is used to express really large (positive exponents) or really small numbers (negative exponents). A calculator will indicate this using the symbol “E” to represent 10 to the power of # (the power will be the number after “E”).
7. The lowest positive quality that is a multiple of two or more given quantities. A multiple is any number that can be divided by the given number(s) without leaving a remainder. The different methods to find the ________ include prime factorization, repeated division, and multiples.
11. A “flip” which maps every point of an image across a fixed line. The preimage and image are congruent, but they are mirror images of each other. Figures can be flipped over a point, line, or a plane.
12. A(n) _________ is a decimal in which there is no end to the digits (non terminating), and the digits do not repeat in a predictable pattern. This can be written as a decimal, but not as a fraction. Examples include 𝛑 as well as √2.
13. Numbers that can be written as a ratio or fraction of two integers, a numerator and a non-zero denominator. All fractions and integers are __________, and so are all terminating or repeating decimals. Examples include ½ and 2.59.
14. A type of transformation that moves all points of a figure by the same amount in a given direction. Sometimes these are known as “slides” or “shifts”.
15. A sequence in which the difference between any two terms is constant. These sequences are important in real life because they allow us to understand things with the use of patterns.
16. Pairs of opposite angles formed by two intersecting lines (congruent angles). These angles share a common point at the vertices (corners), and large or small, they are mirror images of each other reflected across the vertex.

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1. is the lowest denominator that is the same Least Common Denominator

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1. is the lowest denominator that is the same Least Common Denominator

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1. out of a 100

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