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Substitution Method - Worksheet 1 - 8th Grade

Easy

Solve two linear equations using substitution.

easy: Start with the preview and follow the worked example.

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

About This Worksheet

This easy-level worksheet contains 15 problems designed for 8th Grade students practicing substitution method. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Read ordered pairs and solve linear equations using signed arithmetic.

  • Solve two linear equations using substitution.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Solve by substitution: y = 9 − 3x; 1x − y = -1.
Solution Steps:
  1. Substitute the expression for y into the second equation.
  2. The resulting equation is 4x = 8.
  3. Find x = 2, then substitute to find y = 3.
Answer: x = 2, y = 3
Tip: Check your result using the method in the example before moving to the next question.
1
Solve by substitution: y = 6 − 4x; 3x − y = 1.
2
Solve by substitution: y = 7 − 5x; 3x − y = 1.
3
Solve by substitution: y = 5 − 3x; 2x − y = 0.
4
Solve by substitution: y = 7 − 2x; 4x − y = 5.
5
Solve by substitution: y = 13 − 4x; 3x − y = 8.
6
Solve by substitution: y = 3 − 2x; 2x − y = 1.
7
Solve by substitution: y = 7 − 4x; 2x − y = -1.
8
Solve by substitution: y = 8 − 5x; 1x − y = -2.
9
Solve by substitution: y = 9 − 3x; 3x − y = 3.
10
Solve by substitution: y = 13 − 5x; 3x − y = 3.
11
Solve by substitution: y = 9 − 2x; 2x − y = 3.
12
Solve by substitution: y = 10 − 3x; 1x − y = 2.
13
Solve by substitution: y = 9 − 3x; 1x − y = -1.
14
Solve by substitution: y = 16 − 5x; 1x − y = 2.
15
Solve by substitution: y = 7 − 3x; 1x − y = 1.

Answer Key

1. x = 1, y = 22. x = 1, y = 23. x = 1, y = 24. x = 2, y = 35. x = 3, y = 16. x = 1, y = 17. x = 1, y = 38. x = 1, y = 39. x = 2, y = 310. x = 2, y = 311. x = 3, y = 312. x = 3, y = 113. x = 2, y = 314. x = 3, y = 115. x = 2, y = 1

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Frequently Asked Questions

How do I download this substitution method - worksheet 1 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. 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 worksheet cover?

This worksheet focuses on systems, substitution, algebra. It is designed for 8th 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.