Term | Definition |
Ratio | two quantities, a comparison of two numbers, can be written as: # to #, # : #, or #/# |
Variable | an unknown, represented by a letter |
Rates | show up everywhere in the real world, ratios of two quantities, both of which are changing or varying |
Expression | a group or combination or numbers that we know and ones we don't (variables), does not have an equal sign |
Order of Operations (PEMDAS) | the "rules" for solving an expression, the order of steps you need to take to solve an expression, order: (parentheses, exponents, multiplication and division, addition and subtraction) |
Commutative Property of Addition | gives permission to rewrite addition problems in different orders than what are normally given, changes the order of the numbers without changing the sum |
Commutative Property of Multiplication | gives permission to rewrite multiplication problems in different orders than what are normally given, changes the order of the numbers without changing the product |
Associative Property of Addition | gives permission to rewrite addition problems in different orders than what are normally given, changing the location of the parentheses around numbers without changing the sum |
Associative Property of Multiplication | gives permission to rewrite multiplication problems in different orders than what are normally given, changing the location of the parentheses around numbers without changing the product |
Evaluating Expressions | finding the results of the calculations of an expression when all variable values are known |
Binomial | an expression with two terms |
Equivalent Expressions | two (or more) algebraic expressions that have the same value for every value of the substitution variable (or variables); no matter what value you stick in for x (or y or z) the two expressions come out equal |
Factoring Expressions | the process of writing an equivalent expression as purely the product of other expressions |
Distributive Property of Addition over Multiplication | gives permission to rewrite multiplication problems in different orders than what are normally given; if a, b, and c all represent real numbers then: a (b + c) = a x b + a x c; applying a multiplication to all parts of a sum |
Distributive Property of Addition over Division | gives permission to rewrite division problems in different orders than what are normally given; if a, b, and c all represent real numbers then: b + c / a = b / a + c / a; applying a division to all parts of a sum |
Trinomial | an expression with three terms |