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