← Back to Linear Equations Word Problems

Linear Equations Word Problems - Worksheet 4 - 8th Grade

Medium

Solve linear equations by applying the same operation to both sides and check by substitution.

medium: Practice the same exercise types with a fresh numbered set.

14 problems · 20-25 minutes · Skills: algebra, problem solving, modeling

About This Worksheet

This medium-level worksheet contains 14 problems designed for 8th Grade students practicing linear equations word problems. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Use signed arithmetic, substitute values and read expressions with variables.

  • Solve linear equations by applying the same operation to both sides and check by substitution.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A club charges $9 to join and $5 per class. The total bill is $79. How many classes were taken?
Solution Steps:
  1. Write 5x + 9 = 79.
  2. Subtract the joining fee, then divide by the cost per class.
Answer: 14 classes
Tip: Check your result using the method in the example before moving to the next question.
1
A club charges $8 to join and $3 per class. The total bill is $11. How many classes were taken?
2
A club charges $1 to join and $6 per class. The total bill is $79. How many classes were taken?
3
A club charges $6 to join and $6 per class. The total bill is $90. How many classes were taken?
4
A club charges $4 to join and $5 per class. The total bill is $19. How many classes were taken?
5
A club charges $10 to join and $4 per class. The total bill is $42. How many classes were taken?
6
A club charges $5 to join and $2 per class. The total bill is $25. How many classes were taken?
7
A club charges $8 to join and $7 per class. The total bill is $71. How many classes were taken?
8
A club charges $1 to join and $4 per class. The total bill is $13. How many classes were taken?
9
A club charges $8 to join and $3 per class. The total bill is $32. How many classes were taken?
10
A club charges $9 to join and $3 per class. The total bill is $54. How many classes were taken?
11
A club charges $8 to join and $9 per class. The total bill is $44. How many classes were taken?
12
A club charges $4 to join and $4 per class. The total bill is $8. How many classes were taken?
13
A club charges $2 to join and $8 per class. The total bill is $98. How many classes were taken?
14
A club charges $3 to join and $9 per class. The total bill is $120. How many classes were taken?

Answer Key

1. 1 classes2. 13 classes3. 14 classes4. 3 classes5. 8 classes6. 10 classes7. 9 classes8. 3 classes9. 8 classes10. 15 classes11. 4 classes12. 1 classes13. 12 classes14. 13 classes

Practice next

Report a question or answer error

Frequently Asked Questions

How do I download this linear equations word problems - worksheet 4 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 linear equations worksheet cover?

This worksheet focuses on algebra, problem solving, modeling. 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 14 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.