Solving 2-Step Equations with decimals and fractions

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What is a 2-step equation?

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A 2-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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CCSS.7.EE.B.4A

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How do you isolate a variable in a 2-step equation?

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To isolate a variable, perform the inverse operations in reverse order: first eliminate any constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

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CCSS.7.EE.B.4A

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x = 14

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CCSS.6.EE.B.7

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x = 9

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CCSS.7.EE.B.4A

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Add 4.9 to both sides to isolate the term with x.

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CCSS.7.EE.B.4A

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b = 16

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CCSS.6.EE.B.7

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

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Having a decimal in an equation means that the numbers are not whole, and you may need to convert them to fractions or use decimal arithmetic to solve.

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CCSS.8.EE.C.7B

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r = 16.6

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CCSS.7.EE.B.4A

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What is the purpose of checking your solution in an equation?

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Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

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CCSS.8.EE.C.7B

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x = 20

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CCSS.7.EE.B.4A