Linear Equation Word Problems Worksheets

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

Before you begin

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

Worked example

A club charges $9 to join and $5 per class. The total bill is $79. How many classes were taken?

  1. Write 5x + 9 = 79.
  2. Subtract the joining fee, then divide by the cost per class.

Answer: 14 classes

Check your result using the method in the example before moving to the next question.

Choose your level

These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.

  • Easy: Start with the preview and follow the worked example.
  • Medium: Practice the same exercise types with a fresh numbered set.
  • Hard: Use another set to practice explaining and checking your answers.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
A club charges $5 to join and $3 per class. The total bill is $8. How many classes were taken?
2
A club charges $10 to join and $4 per class. The total bill is $50. How many classes were taken?
3
A club charges $6 to join and $4 per class. The total bill is $22. How many classes were taken?
4
A club charges $11 to join and $9 per class. The total bill is $83. How many classes were taken?
5
A club charges $2 to join and $3 per class. The total bill is $8. How many classes were taken?
6
A club charges $7 to join and $7 per class. The total bill is $91. How many classes were taken?

Answer Key

1. 1 classes2. 10 classes3. 4 classes4. 8 classes5. 2 classes6. 12 classes

Full worksheet sets