Three-Step Equations Worksheet

Practice solving three-step linear equations with this Grade 6 math worksheet.

Grade 6 Math AlgebraThree-step Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.6.EE.B.7

Topics

mathalgebraequationsthree-stepgrade 6

8 sections · Free to use · Printable

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Three-Step Equations Practice

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Solve each equation for the variable. Show your work step-by-step.

1. 3x + 7 - 2 = 20

2. 5y - 12 + 4 = 27

3. To solve the equation 4m + 5 = 25, the first step is to 5 from both sides, which gives 4m = . Then, you by 4 to find m = .

4. In the equation 2(x + 3) = 16, the first step is to both sides by 2, resulting in x + 3 = . Finally, 3 from both sides to get x = .

5. Which of the following is the correct first step to solve 2x - 5 = 15?

Subtract 5 from both sides

Add 5 to both sides

Divide by 2

Multiply by 2

6. To solve 7x + 10 = 31, you should first subtract 10 from both sides.

True

False

7. Sarah bought 3 notebooks and a pen. The pen cost $2. If she spent a total of $11, how much did each notebook cost? Write and solve a three-step equation.

8. Consider the equation 2x + 1 = 7. If we represent 'x' with a block and '1' with a small circle, draw a balance scale to show the initial equation and then the steps to solve it.