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Algebra Terms
| Term | Definition |
|---|---|
| Variable | A number that represents an unknown value (varies); can use any letter. |
| Constant | A term without a variable; numbers. |
| Coefficient | The number part of a term with variables. |
| Term | Either a single number or variable, or numbers and variables multiplied together. Terms are usually separated by addition and subtraction signs. |
| Like Term | 2 or more terms with the same variable or exponent. |
| Algebraic Expression | An expression with at least one variable and at least one operation. |
| Sum | The answer to an addition problem. |
| Altogether | In total or completely. |
| How much more/ less | The amount more or less a number is compared to another number. |
| Difference | The answer to a subtraction problem. |
| Less Than/ Fewer Than | To subtract and reverse an expression. |
| Product | The answer to a multiplication problem. |
| Fraction or Percent Of- Multiply | Shows you to multiply; can only be used for multiplication if it is directly next to a fraction or percent. |
| Quotient | The answer to a division problem. |
| Than/ From | To reverse the order of an expression. |
| Each | Shows to divide. |
| 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 and 0 is the same as the addend. |
| Identity property of multiplication | The product of any factor and 1 is the same as the factor. |
| Additive inverse property | Adding a number and its opposite will produce a sum of 0. |
| Multiplicative inverse property | Multiplying a number and its inverse (reciprocal) equals 1. |
| Associative Property | (x+7)+9=x+(7+9) |
| Associative Property | 4(3x9)=(4x3)9 |
| Commutative Property | (x+7)+9=9+(7+x) |
| Commutative Property | 5x6=6x5 |
| Identity Property of Addition | x + 0 = x |
| Identity Property of Multiplication | 6(1) = 6 |
| Multiplicative Inverse Property | 4 x 1/4 = 1 |
| Additive Inverse Property | -5 + 5 = 0 |
| Distributive Property | 4 (x + 3) = 4x + 12 |
| Distributive Property | 16+40= 8 (2+5) |