| A | B |
|---|
| Distributive Property | 5(x + 3) = 5x + 15 |
| Commutatitve Property of Multiplication | 5(x + 3) = (x + 3)5 |
| Associative Property of Multiplication | (2x)y = 2(xy) |
| Commutative of Addition | 5(x + 3) = 5(3 + x) |
| Associative Property of Addition | 5 + (x + 3) = (5 + x) + 3 |
| Additive Identity Property | 5 + 0 = 5 |
| Multiplicative Identity Property | 5 * 1 = 5 |
| Multiplicative Property of Zero | 5 * 0 = 0 |
| Multiplicative Inverse Property | 5 * 1/5 = 1 |
| Reflexive Property | 5(x + 3) = 5(x + 3) |
| Symmetric Property | If x + 3 = 5 then 5 = x + 3 |
| Transitive Property | If x + 3 = y and y = 5 then x + 3 = 5 |
| Substitution | If x + 3 = 5 + 2 then x + 3 = 7 |
| Additive Inverse Property | 3 + -3 = 0 |
| Zero Product Property | If ab = 0 then a = 0 or b = 0 |
| Addition Property of Equality | If x - 2 = 5 then x - 2 + 2 = 5 + 2 |
| Subtraction Property of Equality | If 3x + 2 = 6 then 3x + 2 - 2 = 6 - 2 |
| Multiplication Property of Equality | If x / 3 = 5 then 3(x / 3) = 3*5 |
| Division Property of Equality | If 3a = 9 then a / 3 = 9 / 3 |
| Multiplicative Property of -1 | 3 * -1 = -3 |
