| A | B |
| 6 + 1 = 1 + 6 | Commutative Property of Addition |
| 7 + 0 = 7 | Identity Property of Addition |
| 4 x 1 = 4 | Identity Property of Multiplication |
| 4(6 + 2) = 4 x 6 + 4 x 2 | Distributive Property |
| 6 + ( 3 + 8) = (6 + 3) + 8 | Associative Property of Addition |
| 3 x ( 4 x 5) = ( 3 x 4) x 5 | Associative Property of Multiplication |
| 6 x 5 x 3 = 5 x 3 x 6 | Commutative Property of Multiplication |
| 2 x ( 5 x n) = (2 x 5) x n | Associative Property of Multiplication |
| 3( 2 + 5) = 3 (2) + 3 (5) | Distributive Property |
| 3(12 x 4) = (12 x 4)3 | Commutative Property of Multiplication |
| 2 (a+ b) = 2a + 2b | Distributive Property |
| 3(4 + 1) = (4 + 1)3 | Commutative Property of Multiplication |
| (3x + 2) + 0 = 3x + 2 | Identity Property of Addition |
| 5(1) = 5 | Identity Property of Multiplicaton |
| (2 + 6) + 5 = 2 + (6 + 5) | Associative Property of Addition |