Solving Two-Step Equations

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What is a two-step equation?

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A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

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How do you isolate a variable in a two-step equation?

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To isolate a variable, perform the inverse operations in reverse order: first eliminate the constant term (add or subtract), then eliminate the coefficient of the variable (multiply or divide).

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x = 7

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x = 7

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Subtract 2 from both sides to isolate the term with x.

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x = 16

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What does it mean to 'check your solution' in an equation?

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Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

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x = -4

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x = 9

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What is the purpose of using inverse operations in solving equations?

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Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it and find its value.