| A | B |
| Commutative Addition | 15 + 36 + 85 = 85 + 15 + 36 |
| Associative Addition | (33 + 45) + 55 = 33 + (45 + 55) |
| Distributive | 3(x - 6) = 3x - 18 |
| Commutative Multiplication | 25 * 17 * 4 = 25 * 4 * 17 |
| Associative Multiplication | 25 * (4 * 17) = (25 * 4) * 17 |
| Additive Inverse | 5 + -5 = 0 |
| Additive Identity | -5 + 0 = -5 |
| Multiplicative Inverse | 3 * 1/3 = 1 |
| Multiplicative Identity | 3 * 1 = 3 |
| Commutative Addition | 425 + 16 + 75 = 425 + 75 + 16 |
| Associative Addition | -15x + (5x + 2) = (-15x + 5x) + 2 |
| Distributive | -4(3x - 2) = -12x + 8 |
| Commutative Multiplication | 5 * 39 * 20 = 5 * 20 * 39 |
| Associative Multiplication | (317 * 50) * 2 = 317 * (50 * 2) |
| Additive Inverse | -6x + 6x = 0 |
| Additive Identity | -6x + 0 = -6x |
| Multiplicative Inverse | 17n (1/17n) = 1 |
| Multiplicative Identity | 17n * 1 = 17n |
| Commutative of Multiplication | 5(6 + x) = (6 + x)5 |
| Distributive | 5(2.99) = 5(3) - 5(.01) |