Solving Two-Step Equations with Fractions

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What is a two-step equation?

Back

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.

Front

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

Back

To isolate a variable, perform inverse operations in the reverse order of operations. First, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

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Back

x = 20

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Back

x = -45

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Back

x = 10

Front

Solve for a: -3a + 8 = 14

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a = -2

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Back

x = 7

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Back

Subtract 3 from both sides to isolate the term with x.

Front

What does it mean to have a fraction in an equation?

Back

Having a fraction in an equation means that the variable is multiplied or divided by a fraction, which may require multiplying both sides of the equation by the denominator to eliminate the fraction.

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What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.