Solving Three-Step Equations

A Grade 7 math worksheet focused on solving linear equations requiring three steps, including combining like terms, distribution, and inverse operations.

Grade 7 Math AlgebraThree-step Equations

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Includes

2 Short AnswerFill in the BlanksTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.7.EE.B.4.A

Topics

mathalgebraequationsgrade 7three-step

7 sections · Free to use · Printable

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Solving Three-Step Equations

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Read each question carefully and solve for the variable. Show your work for full credit.

1. Solve for x: 3x + 5 - x = 17

2. Solve for y: 2(y - 4) + 10 = 20

3. To solve the equation 4x - 7 = 13, the first step is to 7 to both sides.

4. In the equation 5(z + 2) = 30, the first step is to use the property.

5. The solution to 2x + 6 = 18 is x = 6.

True

False

6. Combining like terms is always the first step when solving a three-step equation.

True

False

7. Which operation should be performed first to solve 5x - 8 + 2x = 27?

Add 8 to both sides

Subtract 2x from both sides

Combine 5x and 2x

Divide by 5

8. What is the value of n in the equation 4n + 12 = 3n + 20?

n = 8

n = 12

n = 20

n = 32

9. Sarah bought 3 notebooks and a pen for $1.50. If she spent a total of $7.50, and each notebook cost the same amount, write and solve a three-step equation to find the cost of one notebook.