| A | B |
| a + (b + c) = (a + b)+ c | associative property of addition |
| (-6)(1) = -6 | identity property of multiplication |
| a * ( b * 3 ) = ( a * b ) * 3 | associative property of multiplication |
| b + 0 = b | identity property of addition |
| 2 + -2 = 0 | inverse property of addition |
| x + 5 = 1x + 5 | identity property of multiplication |
| 5 + (2m + 3x ) = 5 + ( 3x + 2m ) | commutative property of addition |
| -8 * 0 = 0 | zero product property |
| 3 ( 5x ) = ( 3 * 5 ) x | associative property of multiplication |
| 9(3 * 2) = (3 * 2)9 | commutative property of multiplication |
| -4 (-5 * 6) = -4 ( 6 * -5) | commutative property of multiplication |
| 8x + 0= 8x | identity property of addition |
| 3x + 9 + -8x = 3x + -8x + 9 | commutative property of addition |
| 2/3 * 3/2 = 1 | inverse property of multiplication |
| -3 * -1/3 = 1 | inverse property of multiplication |
| 5 + ( 2 + 8y) = (5 + 2) + 8y | associative property of addition |
| 15x + x = 15x + 1x = 16x | identity property of mult |
| -5(x)= -5(x + 0) | identity property of add |
| 3(6x) = (3*6)x = 18x | associative property of mult |
| 7m + 12 + 4m = 7m + 4m + 12 = 11m + 12 | commutative property |