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Topic 7
Equations and Inequalities
| Question | Answer |
|---|---|
| equation | a mathematical sentence that includes an equals sign to compare two expressions |
| solution of an equation | a value of the variable that makes the equation true. |
| true equation | has equal values on each side of the equals sign |
| false equation | has values that do not equal each other on each side of the equals sign. |
| open sentence | an equation with one or more variables |
| equivalent equations | equations that have exactly the same solutions |
| inverse operations | operations that undo each other. |
| inequality | a mathematical sentence that uses <, ≤, >, ≥, or ≠ to compare two quantities. |
| solution of an inequality | the values of the variable that make the inequality true. |
| equivalent inequalities | inequalities that have the same solution. |
| model | to represent a situation using pictures, diagrams, or number sentences |
| expressions | a mathematical phrase that can involve variables, numbers, and operations. |
| equivalent expressions | expressions that always have the same value. |