| A | B |
|---|
| Commutative Property of Addition | 3 + 5 = 5 + 3 |
| Commutative Property of Multiplication | 7(3) = 3(7) |
| Associative Property of Addition | a + (b + c) = (a + b) + c |
| Associative Property of Multiplication | (4 x 5) x 6 = 4 x (5 x 6) |
| Additive Identity | a + 0 = a |
| Multiplicative Identity | 5(1) = 5 |
| Multiplicative Inverse | (1/4)(4) = 1 |
| Substitution | If a = b, then a may be replaced with b |
| Reflexive Property of Equality | 7 = 7 |
| Symmetric Property of Equality | If 10 = y + 3, then y + 3 = 10 |
| Transitive Property of Equality | If a = b, and b = c, then a = c. |
| Distributive | 3(4a + 5) = 12a + 15 |
| Multiplication Property of Zero | 5(0) = 0 |
