| A | B |
| rational number | numbers that can be expressed as a fraction |
| irrational number | numbers that cannot be expressed as a fraction |
| Commutative Property | The property that states that the order of the terms can be changed without affecting the result |
| Associative Property | The principle that asserts that the result of one operation on several quantities is the same regardless of the way in which terms are grouped, without changing the order of the terms. |
| Additive Identity | any number added to zero is that number. |
| Additive Inverse | The sum of a number and its additive inverse is zero. |
| Multiplicative Identity | 1 multiplied by any number is still that same number. |
| Multiplicative Inverse | The product of a number and its reciprocal is 1. |
| Distributive Property | For all real numbers a, b, and c, a(b + c) = ab +ac, and (b + c)a = ba + ca |
| Addition Property of Equality | For any real numbers a, b, and c, if a = b, then a + c = b + c |
| Multiplication Property of Equality | For any real numbers a, b, and c, if a = b, then ac = bc and, if c is not zero, |
| Reflexive Property of Equality | For any real number a, a = a. |
| Symmetric Property of Equality | For all real numbers a, b, if a = b, then b = a. |
| Substitution Property of Equality | For all real numbers a, b, and c. If a = b, and a = c, then b = c |
| Transitive Property of Equality | For all real numbers a, b, and c, if a = b and b= c, then a=c |
| conjunction | refers to the combining of math sentences with the word "and." |
| disjunction | refers to the combining of math sentences with the word "or." |
| absolute value | distance away from 0 on the number line |
| literal equation | an equation that has more than one variable |
| inverse variation | In the real world it frequently happens that as one measured value goes up, a related value goes down |