Algebra 2 Crossword Puzzle

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Across
  1. 4. given two endpoints (x1,y2) and (x2,y2). finds the halfway point between these two endpoints.
  2. 9. when 3 or more numbers are added or multipliedthe result remains the same even if the numbers are grouped in a different way. grouping is done with parentheses
  3. 11. when there are more than one variables being multiplied together and raised to a power. tells us that we can simplify by multiplying the exponents and keeping the same base
  4. 13. sequence in which the difference between any two terms is constant. used an our daily lifes to find the amount of people in a building,and find your yearly income.
  5. 15. mirror image of the shape. An image will reflect through a line.
  6. 17. longest side of a right triangle. can be found using the hypotenuse theorem
  7. 18. the distance between two points is found by this formula. given two points (x1,y1) and (x2,y2).
  8. 20. the multiplication inverse of the base, raised to the power which is opposite to the given power. must become positive before an equation can be simplified.
Down
  1. 1. symbol for a quantity that may change. may represent a number, a vector, a matrix, a function,, a set, or an element of a set.
  2. 2. calculated by finding the ratio of the "vertical change" to the "horizontal change" between two points on a line. Sometimes the ratio is expressed as rise over run
  3. 3. indicates how many times one number contains another. The trick for this term is to always multiply or divide the numbers by the same value.
  4. 5. can use this to check if given sides form a right triangle. a and b are legs and c must be the hypotenuse. a^2+b^2=c^2
  5. 6. any number raised to a power of zero equals one except zero. Indicates there’s no factors of a number
  6. 7. all the positive integers from 1 till infinity. Sometimes you can include 0 aswell
  7. 8. any number multiplied by 1 keeps its identity. the number stays the same is because multiplying by 1 means we have 1 copy of the number.
  8. 10. a set of numbers with a particular pattern. Each number is called a term. {3,5,7,9}
  9. 12. The prime factors of a positive integer are the prime numbers that divide that integer exactly. it only has two numbers that can divide into it evenly which are 1 and itself.
  10. 14. 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
  11. 16. of powers states that if a base raised to a power is being raised to another power. the exponents are multiplied and the base remains the same.
  12. 19. distribute the outer term to the inner terms, combine like terms. Arrange terms so variables are on the opposite sides. Solve the equation.