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Key Algebriac Terms
| Term | Definition |
|---|---|
| Term | Either a single number or variable, or numbers and variables multiplied together. Terms are usually separated by addition and subtraction signs |
| Like Terms | Two or more terms with the same variable or exponent |
| Coefficient | The number part if a term with variables |
| Variable | A letter that represents an unknown value (varies); can use any letter |
| Constant | A term without a variable; numbers |
| Sum | The answer to an addition problem |
| Than/from | Reverse the order |
| Difference | The answer to a subtraction problem |
| How much more/less | Subtraction |
| Less than | Subtract and reverse |
| Product | The answer to a multiplication problem |
| Fraction or percent of | Multiply |
| Quotient | The answer to a division problem |
| Each | Division |
| Fewer than | Subtract and reverse |
| Algebriac Expression | Have at least one variable and one operation |
| 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 zero |
| Multiplicative Inverse Property | Multiplying any number and its inverse (reciprocal) equals 1 |
| 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 |
| 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) |