| A | B |
|---|
| absolute value | Distance from zero on a number line and is represented by |a|. Example: The absolute value of -2 is 2, or |-2| = 2. |
| algebraic expressions | An expression consisting of one or more numbers and variables along with one or more arithmetic operations. |
| compound inequality | Two or more inequalities that are connected by the words and or or. Examples: x > 5 and x < 9; also written as 5 < x < 9. |
| empty set | A set with no elements shown by the symbol { }. A solution set with no members. Also called a null set. |
| equation | A mathematical sentence stating that two expressions are equal. |
| extraneous solution | Results that are not solutions to the original equation. |
| formula | An equation that states a rule for the relationship between certain quantities. Example: is the formula for finding the area of a circle. |
| infinity | Lines and sets that never end. |
| integers | The set of whole numbers and their opposites {. . .-2, -1, 0, 1, 2. . .}. |
| intersection | The set of elements common to two or more sets as in compound inequalities and Venn diagrams. |
| irrational numbers | Numbers that cannot be expressed as fractions, terminating decimals, or repeating decimals. |
| natural numbers | The set {1, 2, 3, 4. . . }. |
| open sentence | A mathematical statement with one or more variables. |
| order of operations | PEMDAS |
| rational numbers | The set of numbers that can be written in the form a/b, where a and b are integers and b is not equal to 0. |
| real numbers | The set of rational numbers and irrational numbers together. |
| set-builder notation | A concise way of writing a solution set. Example: {t|t < 17} represents the set of all numbers t such that t is less than 17. |
| solution | A replacement value for the variable in an open sentence. A value for the variable that makes an equation true. Example: The solution of 12 = x + 7 is 5. |
| union | The graph of a compound inequality containing the word or; the solution is a solution of either inequality, not necessarily both. |
| variables | A letter or other symbol used to represent an unspecified number or value. |
| whole numbers | The set {0, 1, 2, 3, ... } |
