| A | B |
| Commutative Property of Addition | a + ( b + c )= a + ( c + b ) |
| Associative Property of Multiplication | a(bc)=(ab)c |
| Additive Inverse | a +(-a)=0 |
| Identity Property of Multiplication | a * 1 = a |
| Identity Property of Addition | a + 0 = a |
| Distributive Property | a(b + c)=ab + ac |
| Reflexive Property | a = a |
| Symmetric Property | a + b = b + a |
| Transitive Property | if a = b and b = c, then a = c |
| Associative Property of Addition | a + (b + c) = (a + b) + c |