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