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A mathematical sentence that compares two unequal expressions using one of the symbols , ≤, ≥, or ≠.

If you add the same number to both sides of an equation, the sides remain equal

solution

If you multiply both sides of an equation by the same number, the sides remain equal (i.e. equality is preserved).

A numerical factor in a term of an algebraic expression.

equation

Division Property of equality

A sentence stating that two quantities are equal.

When both sides of an equation have the same number subtracted from them, the remaining expressions are still equal. For example: If 5 = 5, then 5 - 2 = 5 - 2.

An inequality that contains two operations.

inequality

A value of a variable that makes an equation true.

Two different operations as in 3x + 4 = 8, must multiply and divide.

If you divide both sides of an equation by the same nonzero number, the sides remain equal.

two-step equations

Addition Property of equality

Subtraction Property of equality

two-step inequality

coefficient

Multiplication Property of inequality