| A | B | 
|---|
| a + (b + c) = a + (c + b) | 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 + -8x = 0 | 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 |