Algebra

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Across
  1. 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.
  2. 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.
  3. 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).
  4. 13. The plane formed by a horizontal axis and a vertical axis, often labeled the x-axis and y-axis, respectively.
  5. 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.
  6. 17. The symbol, which is used to indicate square roots or nth roots. Also something TMNT say alot.
  7. 18. The largest integer that divides evenly into each of a given set of numbers.
  8. 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
  9. 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.
  10. 26. The numerical factor of a term.
  11. 28. Definition 1: Any of the symbols <, >, ≤, or ≥. Definition 2: A mathematical sentence built from expressions using one or more of the symbols <, >, ≤, or ≥.
  12. 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).
  13. 30. Terms which have the same variables and corresponding powers and/or roots.
  14. 31. As a noun, a term or expression with no variables. Also, a term or expression for which any variables cancel out.
Down
  1. 1. The pair of numbers giving the location of a point
  2. 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).
  3. 4. To multiply out the parts of an expression. ___ is the opposite of factoring.
  4. 5. An interval that contains its endpoints.
  5. 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.
  6. 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.
  7. 9. The number that occurs the most often in a list.
  8. 10. A relation for which each element of the domain corresponds to exactly one element of the range
  9. 11. The line passing through the focus and vertex of a parabola. The axis of symmetry is perpendicular to the directrix.
  10. 14. This is a letter of ancient Greece, which is frequently used in math and science.Δ δ
  11. 15. The mathematics of working with variables
  12. 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.
  13. 20. A number and it's opposite ___ of each other, the sum of a number and it's ___ is 0
  14. 21. x in the expression a root x.
  15. 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.
  16. 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.
  17. 25. A fraction which has, as part of its numerator and/or denominator, at least one other fraction.
  18. 27. Another word for average. Or Mr. Alice when he's angry with us.