| A | B |
| Open Sentence | An equation or inequality containing a variable which may have one (or more) solutions or no solution |
| Equation | 2 expression of equal value separated by an equal sign |
| Solution | The value of the variable that makes the equation true |
| Solution set | A set of values that satisfies the equation |
| Replacement set | Domain; the set of possible choices given for a variable |
| Equivalent equations | Equations that have the same solution(s) |
| Set notation | Braces that surround a solution set |
| Solve | To isolate the variable (using inverse operations) |
| Inverse operations | Operations that undo each other plus, minus, multiply and divide. |
| No solution/ empty set | When no known value “satisfies” the equation |
| Rule | Words used to describe the solution set |
| Roster | A list of solutions |
| Graph | Solutions that are shown on a number line |
| Open circle/closed circle | An open circle is used when the value being expressed in an inequality is not included (¹) |
| Origin | Zero on a number line |
| Inequality | Two expressions being compared using the symbols <, >,³, less than or equal to. |
| One and two-step equations/two-part inequalities | Steps indicate the number of operations to undo; parts indicate the way the problem needs to be separated first. |
| Consecutive numbers | Differ by 1; increasing order x, x plus 1. |
| Preceding | Before; left on # line “the # that proceeds x is x-1. The opposite of next. |
| Next | Follow; one greater…; right on # line. The opposite of proceeding. |