MathsFreePrintable

Linear Equations Practice

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Linear Equations Practice worksheet preview

Linear Equations Practice

Algebra symbols and equations illustration

📚 Part 1: Solving Linear Equations

1. Solve for x: x + 7 = 15

x = _______

2. Solve for s: 3s = 21

s = _______

3. Solve for y: 2y + 5 = 13

y = _______

4. Solve for m: 4m - 3 = 17

m = _______

5. Which equation has the solution x = 6?

2x + 1 = 13

3x - 4 = 10

x + 8 = 15

5x = 25

✏️ Part 2: Simplifying Expressions and Substitution

6. Simplify: 3x + 2x + 5

Answer: _______________

7. Simplify: 2(x + 4) + 3

Answer: _______________

8. Find the value of 3a + 7 when a = 4

Answer: _______

9. The cost of hiring a car is $50 plus $15 per day. If the total cost is represented by C = 50 + 15d, where d is the number of days:

a) Find the cost for 3 days: $ _______

b) If the total cost is $125, how many days was the car hired? _______ days

🔍 Part 3: Problem Solving

10. A number pattern starts: 5, 9, 13, 17, ...

a) What is the rule for this pattern? n = _______

b) What would be the 10th term? _______

11. Sarah thinks of a number, multiplies it by 4, then adds 6. Her answer is 26. What number did she think of?

Write an equation: _______________

Sarah's number: _______

12. Check all the expressions that are equivalent to 2x + 8:

2(x + 4)

x + x + 8

2x + 4 + 4

10x

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds