| A | B |
|---|
| Distributive Property (Numbers) | 3(5 + 2) = 15 + 6 |
| Commutative Property of Addition (Numbers) | 3 + 7 = 7 + 3 |
| Commutative Property of Multiplication (Numbers) | 2 • 10 = 10 • 2 |
| Associative Property of Addition (Numbers) | 5 + (6 + 7) = (5 + 6) + 7 |
| Associative Property of Multiplication (Numbers) | 6 • (3 • 2) = (6 • 3) • 2 |
| Additive Identity (Numbers) | 6 + 0 = 6 |
| Additive Inverse (Numbers) | 5 + (-5) = 0 |
| Multiplicative Identity (Numbers) | 5 • 1 = 5 |
| Multiplicative Inverse (Numbers) | 8 • (1/8) = 1 |
| Reflexive Property (x) | x + 4 = x + 4 |
| Distributive Property (x) | x • (4 + 6) = 4•x + 6•x |
| Commutative Property of Addition (x) | (x + 6) + 5 = (6 + x) + 5 |
| Commutative Property of Multiplication (x) | (5a) • b = b • (5a) |
| Associative Property of Addition (x) | (x + y) + 3 = x + (y + 3) |
| Associative Property of Multiplication (x) | (6x) • y = 6 • (xy) |
| Additive Identity (x) | x + 0 = x |
| Additive Inverse (x) | b + (-b) = 0 |
| Multiplicative Identity (x) | x • 1 = x |
| Multiplicative Inverse (x) | x • (1/x) = 1 |
| Reflexive Property (Numbers) | 2 = 2 |
| Symmetric Property (Numbers) | If 2 + 6 = 8, then 8 = 2 + 6 |
| Symmetric Property (x) | If b = 3, then 3 = b |
| Transitive Property for x and b | If x = b and b = 3, then x = 3 |
| Transitive Property for a and c | If a = b + 4 and b + 4 = c, then a = c |
| Substitution Property (Numbers) | (5 + 3) • 2 = 8•2 |
| Substitution Property (x) | (7 - 4) • x = 3x |
| Multiplicative Property of Zero (Numbers) | 9 • 0 = 0 |
| Multiplicative Property of Zero (x) | a • 0 = 0 |
