| A | B |
| Inverse Property of Addition | 8 + -8 = 0 |
| Inverse Property of Multiplication | 4/3 • 3/4 = 1 |
| Identity Property of Addition | 5 + 0 = 5 |
| Identity Property of Addition | a + 0 = a |
| Inverse Property of Multiplication | x • 1/x = 1 |
| Inverse Property of Addition | g + -g = 0 |
| Addition Property of Equality | If y = 3, then y + 5 = 3 + 5 |
| Multiplication Property of Equality | If w = 7, then w • 9 = 7 • 9 |
| Addition Property of Equality | 4 + 9 = 13, so 4 + 9 + 11 = 13 + 11 |
| Addition Property of Equality | 4 + 5 = 9, so (4 + 5) • 8 = 9 • 8 |
| Identity Property of Additon | c + 0 = c |
| Identity Property of Multiplication | h • 1 = h |