| A | B |
| Additive Inverse Property | Opposites equal zero. |
| Multiplicative Inverse Property | Multiplying by the reciprocal equals one. |
| Distributive Property | Involves both addtition and subtraction. I can add first then multiply or multiply then add. |
| Commutative Property of Addition | Changing the order in addition will not change the outcome as long as you move the sign in front with the number. |
| Commutative Property of Multiplication | Changing the order in multiplication does not change the outcome as long as you move the sign in front with the number. |
| Properties of Equality | I can add, subtract, multiply or divide both sides of an equation by the same number and still keep the equation balanced. |
| Identity Property of Addition | Zero added to any number gives you that same number. |
| Identity Property of Multiplication | Any number multiplied by 1 gives you that same number. |
| Reflexive Property | Any number is equal to itself. |
| Symmetric Property | I may reverse the sides of an equation as long as the signs stay with their respective numbers. |
| Substitution Property | I can replace any number with another number of equal value. |