| A | B |
| equation | a number sentence that states two numbers or quantities are equal |
| inverse operations | opposite operations that undo each other |
| variable | represents an unknown value in a mathematical expression |
| isolate the variable | separate the vsolve for the unknown |
| substitution | property used to replace a variable with a given value |
| solution | is/are the numbers that replace the variable in an equation to make the equation true |
| A.P.E.(addition property of equality) | if you add a value to one side of an equation, you must add the same number to the other side to keep the equation equal |
| S.P.E. (subtraction property of equality) | if you subtract a value from one side of an equation, you must subtract the same number from the other side to keep the equation equal. |
| M.P.E (multiplication property of equality)) | if you multiply on side of an equation by a value, you must multiply the same number to the other side to keep the equation equal. |
| D.P.E. (division property of equality) | if you divide one side of an equation by a value, you must divide the other side by the same value to keep the equation equal. |
| Commutative Property / Add or Sub | The ORDER in which numbers are added or multiplied does not change the sum or product |
| Associative Property / Add or Sub | The way in which you GROUP the addends or factors does not change the sum or product |
| Distributive Property | DISTRIBUTES a common factor over the sum of the addends |
| ADDITIVE Identity | The sum of any number (n) and ZERO is the number itself |
| MULITLIPLICATIVE Identify | The PRODUCT of any number (n) and ONE is that number. |
| Law of the RECIPROCAL | Any number times its reciprocal = 1 |