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 by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

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x = 4

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x = 5

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Subtract 4 from both sides to isolate x.

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What does it mean to 'balance' an equation?

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Balancing an equation means ensuring that both sides of the equation remain equal after performing operations.

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x = 3

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x = 7

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Substitute x = 5 back into the original equation to verify: 4(5) = 20.

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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.