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27 Cards in this Set

  • Front
  • Back
addition property of equality –
the property that explains that you can add the same number to both sides of an equation, and the two sides will remain equal.
algebraic expression –
an expression that contains at least one variable.
associative property –
(ADDITION/MULTIPLICATION) the property that states when adding/multiplying groups of numbers, the grouping of the numbers does not change the value…. order does not matter
base -
when a number is raised to a power, the number that is used as a factor is the base
coefficient –
the number that is multiplied by the variable in an algebraic expression.
commutative property –
(ADDING / MULTIPLICATION) the property that states that changing the order of the numbers does not change the value –
constant –
a value that does not change
distributive property –
the property that states if you multiply a sum by a number, you will get the same result if you multiply each addend by that number and then add the products.
division property of equality –
the property that states that you can divide both sides of an equation by the same nonzero number, and the two sides will remain equal.
division property of inequality –
the property that states that you can divide both sides of an inequality by the same positive number, and the inequality will remain true.
equation –
a mathematical sentence that shows that two expressions are equivalent
equivalent expression –
have the same value for all values of the variables
exponent -
the number that indicates how many times the base is used as a factor.
factor -
a number that is multiplied by another number to get a product
identity property of addition:–
the adding of zero to a number does not change its value.
identity property of multiplication:–
the multiplying a number by one does not change its value.
inverse property –
the property that states the sum of a number and its opposite, or additive inverse, is zero
like terms –
terms with the same variables raised to the same exponents
multiplication property of equality –
the property that states that you can multiply both sides of an equation by the same number, and the two sides will remain equal.
multiplication property of inequality –
the property that states that you can multiply both sides of an inequality by the same positive number, and the inequality will remain true.
order of operations –
a rule for evaluating expressions: P E M/D A/S parentheses, compute powers and roots, then perform all multiplication and division from left to right, and then perform all addition and subtraction from left to right.
power -
a number produced by raising a base to an exponent.
prime factorization -
a number written as the product of its prime factors.
solution –
the value of a variable that makes the equation true
subtraction property of equality –
the property that explains that you can subtract the same number from both sides of an equation, and the two sides will remain the same
terms –
the part of the expression that are separated by + or - signs
variable –
a symbol used to represent a quantity that can change.