| A | B |
|---|
| Commutative of Addition | 3 + 4 = 4 + 3 |
| Commutative of Multiplication | 5•8 = 8•5 |
| Associative of Addition | (x + 2) + 3 = x + (2 + 3) |
| Associative of Multiplication | 3•(2•m) = (3•2)•m |
| Identity of Addition | 5 + 0 = 5 |
| Identity of Multiplication | 7•1 = 7 |
| Inverse of Addition | 4 + -4 = 0 |
| Inverse of Multiplication | 7 • 1/7 = 1 |
| Distributive Property | 8(x + 9) = 8x + 72 |
| Substitution Property | (2+7)x = 9x |
| Reflexive | 10 = 10 |
| Symmetric | If 1 + 2 = 3, then 3 = 1 + 2 |
| Transitive | If x = 4 and 4 = 5 - 1, then x = 5 - 1 |
| Addition | If a = b, then a + 1 = b + 1 |
| Multiplication | If x = y, then 2x = 2y |
| Subtraction | If x + 7 = 10, then x = 3 |
| Division | If 5x = 20, then x = 4 |
| Property of Zero | a • 0 = 0 |
