| A | B |
|---|
| Distributive Property | 3(x + 2)=3x + 6 |
| Commutative Property of Addition | x + 7 = 7 + x |
| Commutative Property of Multiplication | 2 * a = a * 2 |
| Associative Property of Addition | a + (b + c)=(a + b) + c |
| Associative Property of Multiplication | 6 * (x * y) = (6 * x) * y |
| Additive Identity | 6 + 0 = 6 |
| Additive Inverse | 5 + (-5) = 0 |
| Multiplicative Identity | 5 * 1 = 5 |
| Multiplicative Inverse | 8 * (1/8) = 1 |
| Reflexive Property | x + 4 = x + 4 |
| Distributive Property | x * (4 + 6)=4 * x + 6 * x |
| Commutative Proerty of Addition | (x + 6) + 5 = (6 + x) + 5 |
| Commutative Property of Multiplication | (5a) * b = b * (5a) |
| Associative Property of Addition | (x + y) + 3 = x + (y + 3) |
| Associative Property of Multiplication | (6x) * y = 6 * (xy) |
| Additive Identity | 5 + 0 = 5 |
| Additive Inverse | b + (-b) = 0 |
| Multiplicative Identity | x * 1 = x |
| Multiplicative Inverse | x * (1/x) = 1 |
| Reflexive Property | 2 = 2 |
| Symmetric Property | If x + 6 = 8, then 8 = x + 6 |
| Symmetric Property | If b = 3, then 3 = b |
| Transitive Property | If x = b and b = 3, then x = 3 |
| Transitive Property | If a = b + 4 and b + 4 = c, then a = c |
| Substitution Property | (5 + 3) * x = 8x |
| Substitution Property | (7-4) * x = 3x |
| Multiplicative Proerty of Zero | 9 * 0 = 0 |
| Multiplicative Property of Zero | a * 0 = 0 |
| Closure Property | If a and b are elements of R, then a+b is an element of R. |
