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Multi-Step Equations - Worksheet 4 - 9th Grade

Medium

Solve linear equations and check the solution by substitution.

medium: Distribute a factor before isolating x.

24 problems · 20-25 minutes · Skills: algebra, equation solving, distributive property

About This Worksheet

This medium-level worksheet contains 24 problems designed for 9th Grade students practicing multi-step equations. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Use inverse operations, signed numbers and the distributive property.

  • Solve linear equations and check the solution by substitution.
  • Apply the same operation to both sides to keep the equation balanced.

How to Solve: Worked Example

Example Problem: Solve 3(x + 2) = 21.
Solution Steps:
  1. Divide both sides by 3: x + 2 = 7.
  2. Subtract 2 from both sides: x = 5.
  3. Check: 3(5 + 2) = 21.
Answer: x = 5
Tip: Apply the same operation to both sides to keep the equation balanced.
1
Solve: 4(x + 10) = 56
2
Solve: 2(x + 10) = 2
3
Solve: 7(x + 13) = 126
4
Solve: 7(x + 11) = 168
5
Solve: 5(x + 6) = 55
6
Solve: 5(x + 12) = 20
7
Solve: 7(x + 1) = 0
8
Solve: 9(x + 10) = 162
9
Solve: 4(x + 13) = 72
10
Solve: 2(x + 7) = 22
11
Solve: 3(x + 10) = 63
12
Solve: 7(x + 3) = 70
13
Solve: 7(x + 15) = 196
14
Solve: 3(x + 9) = 12
15
Solve: 5(x + 12) = 40
16
Solve: 10(x + 2) = -50
17
Solve: 10(x + 14) = 80
18
Solve: 5(x + 13) = 75
19
Solve: 10(x + 15) = 180
20
Solve: 10(x + 11) = 250
21
Solve: 12(x + 13) = 312
22
Solve: 8(x + 6) = 8
23
Solve: 8(x + 5) = 88
24
Solve: 9(x + 13) = 27

Answer Key

1. x = 42. x = -93. x = 54. x = 135. x = 56. x = -87. x = -18. x = 89. x = 510. x = 411. x = 1112. x = 713. x = 1314. x = -515. x = -416. x = -717. x = -618. x = 219. x = 320. x = 1421. x = 1322. x = -523. x = 624. x = -10

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Frequently Asked Questions

How do I download this multi-step equations - worksheet 4 worksheet?

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What skills does this linear equations & inequalities worksheet cover?

This worksheet focuses on algebra, equation solving, distributive property. It is designed for 9th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 24 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.