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Algebra Terms
| Term | Definition |
|---|---|
| Algebraic Expression | Has to have at least one variable and one operation. |
| Varaiable | A letter that represents an unknown value (varies) ; can use any letter. |
| Constant | A term without a varaiable; numbers. |
| Coefficient | The number part of a term with variables. |
| Term | Either a single number or variable, or numbers and variables multipled together. They are usually separated by addition and subtraction. |
| Like Terms | Two or more terms with the same variable or exponent . |
| Sum | Answer to a addition problem. |
| Difference | Answer to a subbtraction problem. |
| Product | Answer to a multiplication problem. |
| Quotient | Answer to a division problem. |
| Fewer than / Less than | Subtract & Reverse |
| How much more/ less | Subtract |
| % of fraction of | Multiply |
| Each | Divide |
| Than / From | Reverse the order |
| Associative Property | The way in which numbers are grouped when added or multiplied does not change the answer. |
| Commutative Property | The order in which numbers are added or multiplied does not change the answer. |
| Identity Property of Addition | The sum of an addend & 0 is the same as the addend. |
| Identity Property of Multiplication | The product of any factor & 1 is the same as the factor. |
| Additive Inverse Property | Adding any number and it's opposite will produce a sum of 0. |
| Multaplicative Inverse Property | Multiplying any number and its Inverse equals one. |
| Associative Property | (x +7) + 9 = x + (7+9) |
| Associative Property | 4 (3 x 9) = (4 x 3) 9 |
| Commutative Property | (x + 7) +9 = 9 +(7 + x) |
| Commutative Property | 5 x 6 = 6 x 5 |
| Identity Property of Addition | x + 0 = x |
| Identity Property of Multiplication | 6 (1) = 6 |
| Additive Inverse Property | -5 + 5 = 0 |
| Distributive Property | 4 (x + 3) = 8 (2+5) |
| Distributive Property | 16 + 40 = 8 (2+5) |