| A | B |
| d + 0 = d | Additive Identity |
| 8 x 1 = 8 | Multiplicative Identity |
| 14 + (9 + 10) = (14 + 9) + 10 | Associative Property of Addition |
| 5 x 7 x 2 = 7 x 2 x 5 | Commutative Property of Multiplication |
| (3 x 4) + 5 = 5 + (3 x 4) | Commutative Property of Addition |
| 8 x 9 = 9 x 8 | Commutative Property of Multiplication |
| (7 + 8) + 2 = 7 + (8 + 2) | Associative Property of Addition |
| 1 + 0 = 1 | Additive Identity |
| 10 x 1 = 1 x 10 | Commutative Property of Multiplication |
| (5 x 6) x 3 = 3 x (5 x 6) | Commutative Property of Multiplication |
| 10 x 0 = 0 | Multiplicative Property of Zero |
| 6 + 3 = 3 + 6 | Commutative Property of Addition |
| 4 x 5 = 5 x 4 | Commutative Property of Multiplication |
| (3 + 4) + 7 = 3 + (4 + 7) | Associative Property of Addition |
| (2 x 5) x 8 = 2 x (5 x 8) | Associative Property of Multiplication |
| 10 + 0 = 10 | Addtivie Identity |
| 5 x 1 = 5 | Multiplicative Identity |
| 15 x 0 = 0 | Multiplicative Property of Zero |
| Commutative Property 75 + 25 = | 25 + 75 |
| Associative Property 2 x (3 x 4) = | (2 x 3) x 4 |
| Multiplicative Identity 14 x 1 = | 14 |
| Multiplicative Property of Zero p x 0 = | 0 |
| 7(3 + 12) = 21 + 84 | Distributive Property |
| 4(9 + 3) = 4 x 9 + 4 x 3 | Distributive Property |
| Distributive Property 11(8 - 5) = | 88 - 5 |
| 4(a + 9) = 4a + 36 | Distributive Property |
| Distributive Property 5(2m - 4) = | 10m - 20 |
| Additive Identity 98 + 0 = | 98 |
| (7 + 3) + 4 = 4 + (7 + 3) | Commutative Property of Addition |
| Commutative Property 5 x (3 x 9) = | (3 x 9) x 5 |
| -5 + 5 = 0 | Additive Inverse |
| 8 + (-8) = 0 | Additive Inverse |
| -10 + 10 = 0 | Additive Inverse |
| 5 (1/5) = 1 | Multiplicative Inverse |
| (2/3)(3/2) = 1 | Multiplicative Inverse |
| 9(1/9) = 1 | Multiplicative Inverse |
| Additive Inverse 7 + ___ = 0 | -7 |
| Additive Inverse -22 + 22 = | 0 |
| Multiplicative Inverse 4x = 1 | x = 1/4 |
| Multiplicative Inverse (7/8)(8/7) = | 1 |