Three-Step Equations Worksheet

Solve three-step algebraic equations involving various operations and variable types. Designed for Grade 12 mathematics students.

Grade 12 Math AlgebraThree-step Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

AlgebraEquationsThree-stepGrade 12

7 sections · Free to use · Printable

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Three-Step Equations

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Solve each of the following three-step equations. Show all your work clearly. Simplify your answers as much as possible.

1. 3(x - 5) + 7 = 22

2. (2x + 4) / 6 - 3 = 1

3. Given the equation 5x - 10 = 15, first add to both sides, then divide by , to get x = .

4. To solve (x / 3) + 2 = 7, first subtract from both sides, then multiply by , to get x = .

5. Which of the following is the correct solution for 4(x + 2) - 5 = 15?

x = 1

x = 2

x = 3

x = 4

6. The solution to 2(y + 1) - 4 = 10 is y = 6.

True

False

7. A number is multiplied by 4, then 8 is subtracted from the product. The result is then divided by 2, giving 6. What is the number? Set up and solve a three-step equation.

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