Equations and Inequalities Vocabulary

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equation

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A mathematical sentence showing that two expressions are equivalent; two expressions with an equal sign in the middle.

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inequality

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A mathematical sentence showing the relationship between quantities that are not equal; when two things are not equal.

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solution

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A value, or values, that makes an equation or inequality true.

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dependent variable

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A variable whose value depends on the value of the input, or independent variable; a quantity that changes when something else changes; the output of an expression.

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independent variable

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A variable whose value determines the value of the output, or dependent variable; a quantity that causes something else to change; the input for an expression.

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inverse operations

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Operations that undo each other.

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addition property of equality

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Two sides of an equation stay equal when the same amount is added to both sides of an equation; add the same to both sides to stay balanced.

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subtraction property of equality

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Two sides of an equation stay equal when the same amount is subtracted from both sides of an equation; subtract the same from both sides to stay balanced.

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multiplication property of equality

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Two sides of an equation stay equal when both sides are multiplied by the same amount; multiply the same to both sides to stay balanced.

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division property of equality

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Two sides of an equation stay equal when both sides are divided by the same non-zero amount; divide both sides by the same to stay balanced.