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7A Algebra Vocab
Algebra Vocabulary
| Question | Answer |
|---|---|
| a combination of numbers and variables using multiplication and division. | Term |
| terms with the same variables raised to the same exponents (powers). | Like terms |
| A letter that represents an unknown number or changing quantity | Variable |
| A combination of variables and numbers using standard operations like addition, subtraction, multiplication, and division. | Expression |
| a number without a variable | constant |
| a combination of letters, numbers and operation symbols | expression |
| a combination of letters, numbers, operation symbols and an equal sign | equation |
| the answer to an addition problem | sum |
| the answer to a multiplication problem | product |
| the answer to a division problem | quotient |
| the answer to a subtraction problem | difference |
| process of combining all like terms and constants in an expression | simplify |
| using inverse operations to find the value of a variable | solving equations |
| process of substituting numbers for letters and performing order of operations to get a single answer | evaluating expressions |
| a + b = b + a | commutative property for addition |
| a * b = b * a where * means multiply | commutative property for multiplication |
| (a + b) + c = a + (b + c) | Associative property for addition |
| a (b * c) = (a * b) c where * means multiply | Associative property for multiplication |
| number attached to a letter by multiplication | Coefficient |
| a(b + c) = a*b + a*c | Distributive Property of multiplication over addition |
| a(b - c) = a*b - a*c | Distributive Property of multiplication over subtraction |
| Equivalent Expressions | equivalent expressions exist when the same value is substituted into BOTH expressions and you get the same value. |
| monomial | An algebraic expression consisting of a single term |
| binomial | An algebraic expression consisting of two terms |
| trinomial | An algebraic expression consisting of three terms |