Solve by Substitution - Worksheet 3 - 9th Grade

Easy

Use substitution to solve systems of linear equations (Easy)

15 problems · 20-25 minutes · Skills: systems, substitution, algebra

About This Worksheet

This easy-level worksheet contains 15 problems designed for 9th Grade students practicing solve by substitution. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Substitution is the most versatile method for solving systems and extends naturally to non-linear systems in later courses. The strategy of reducing two variables to one by substitution is a broadly applicable mathematical technique.

  • Solve one equation for a variable and substitute into the other equation
  • Choose the most efficient equation and variable to isolate
  • Solve the resulting one-variable equation and find the complete solution pair
  • Recognize when substitution produces a contradiction or identity indicating special cases
  • Check the full solution pair in both original equations to confirm accuracy

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
1 + 2 =
2
2 + 4 =
3
1 + 2 =
4
1 + 2 =
5
5 + 4 =
6
2 + 4 =
7
5 + 1 =
8
3 + 5 =
9
2 + 1 =
10
2 + 3 =
11
3 + 2 =
12
2 + 2 =
13
4 + 1 =
14
4 + 2 =
15
5 + 4 =

Answer Key

1. 32. 63. 34. 35. 96. 67. 68. 89. 310. 511. 512. 413. 514. 615. 9

Frequently Asked Questions

How do I download this solve by substitution - worksheet 3 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this systems of equations & inequalities worksheet cover?

This worksheet focuses on systems, substitution, algebra. 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 15 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.