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.
Name:Date:
Linear Equations Practice
Solve each problem. Show your working where space is provided. For multiple-choice questions, select the best answer.
Solve and simplify
1.Find the value of x: x + 9 = 22.
2.Solve 5p = 35.
3.Solve 3t + 4 = 25.
4.Find the value of r in 6r − 5 = 31.
5.Which equation is true when k = 5?
- 2k + 3 = 13
- 4k − 1 = 18
- k + 7 = 11
- 3k = 12
6.Collect like terms to simplify 7a − 2a + 6.
7.Expand and simplify 3(y + 2) − 4.
Substitution and equivalent expressions
8.Evaluate 4b − 3 when b = 6.
9.Evaluate 2m + 5n when m = 3 and n = 2.
10.Select every expression equivalent to 3x + 12.
- 3(x + 4)
- x + x + x + 12
- 3x + 6 + 6
- 15x
11.Match each equation to its solution.
- x + 6 = 14
- 4y = 28
- 2a − 3 = 11
- 5b + 1 = 26
- 3c + 8 = 20
- 6d − 4 = 20
- d = 4
- a = 7
- c = 4
- x = 8
- b = 5
- y = 7
Use algebra to solve problems
12.A bike hire shop charges a fixed NZ$8 fee and NZ$6 for each hour. The total charge is C = 8 + 6h. What is the charge for 5 hours?
13.Using C = 8 + 6h for the bike hire charge, how many hours of hire would cost NZ$44?
14.A sequence begins 4, 9, 14, 19, ... Write a rule for the nth term, then use it to find the 12th term.
15.Finn triples a number, then subtracts 7. The result is 20. Write an equation and find the number.
3 printable pages
Page 1
Page 2
Page 3
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
More Maths Worksheets
Year 7–8
Algebra Language Basics
Free
Year 8
Algebraic Properties Application
Free
Year 7–8
Number and Algebra Basics
Free
Year 9
Algebra Scavenger Hunt
Free
Year 7–8
Introduction to Algebraic Concepts
Free
Year 7–8
Unknown Angles Equations
Free
Year 7–8
Patterns to Algebra
Free
Year 11