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Topic 7

Equations and Inequalities

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.