Unit 5 Lessons 20-21: Vocabulary One-Variable Equations

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Equivalent Expressions

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Two or more expressions in different forms that always name the same value.

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Solution of an Equation

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A value that can be substituted for a variable to make an equation true.

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Substitute

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To replace one thing with another.

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Equation

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A mathematical statement that uses an equal sign (=) to show that two expressions have the same value.

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Inverse Operation

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Operations that undo each other. For example, addition and subtraction are inverse operations, and multiplication and division are inverse operations.

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Reciprocal

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For any nonzero number a, the reciprocal is ¹/a. The reciprocal of any fraction a/b is b/a. Zero does not have a reciprocal. The reciprocal of a number is also called the multiplicative inverse of that number.

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Verify

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To prove, show, find out, or state that something is true or correct.

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Isolate the Variable

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To rearrange an algebraic equation so that a different variable is on its own. The goal is to choose a sequence of operations that will leave the variable of interest on one side and put all other terms on the other side of the equal sign.

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Variable

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A letter that represents an unknown number. In some cases, a variable may represent more than one number.