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Multi-step Equations Worksheet

This worksheet helps 6th-grade students practice solving multi-step equations involving various operations.

Grade 6 Math AlgebraOne-variable EquationsSolving EquationsMulti-step Equations
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

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

Topics

mathalgebraequationsmulti-stepgrade 6
7 sections · Free to use · Printable
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Multi-step Equations Practice

Name:

Date:

Score:

Solve each multi-step equation. Show your work clearly.

1. Solve for x: 2x + 5 = 15

2. Solve for y: 3y - 7 = 20

3. Solve for z: (z / 4) + 2 = 6

4. Which operation should you perform first to solve 4m - 8 = 16?

a

Add 8 to both sides

b

Subtract 8 from both sides

c

Multiply both sides by 4

d

Divide both sides by 4

5. What is the value of 'a' in the equation 5a + 10 = 35?

a

3

b

5

c

7

d

9

6. To solve the equation 6p - 12 = 30, the first step is to   12 from both sides.

7. In the equation (k + 5) / 3 = 7, the variable k is equal to  .

8. The solution to 2(x + 3) = 10 is x = 2.

T

True

F

False

9. To isolate the variable in 7 - 4w = 19, you should subtract 7 from both sides first.

T

True

F

False

10. Sarah bought 3 notebooks and a pen. The pen cost $2. If she spent a total of $17, how much did each notebook cost? Write and solve an equation.