MathsFreePrintable
One-Step Linear Equations
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:
One-Step Linear Equations
Undo the operation on the variable to find its value. Check each answer by substituting it back into the equation. Show your working where space is provided.
Solve and Check
Use inverse operations to isolate the variable.
1.At the fair, a ticket costs t dollars. Three dollars of booking fees are added, making the total $11. Solve t + 3 = 11.
2.A fruit stall starts with x apples. After selling 9 apples, it has 14 left. Solve x − 9 = 14.
3.A team earns the same number of points in each of 6 rounds. Their total is 42 points. Solve 6p = 42.
- p = 6
- p = 7
- p = 36
- p = 48
4.A ribbon is cut into 5 equal lengths. Each length is 8 cm. Solve r ÷ 5 = 8 to find the original length r.
5.Solve y + 17 = 5. Show the inverse operation you use and check your solution.
Equation Clues
Read each equation carefully. Remember that the variable can be negative.
6.A diver’s depth d metres is represented by d − 12 = −20. What is d?
7.Solve −4a = 28. Which value of a makes the equation true?
- −7
- 7
- 24
- 32
8.Solve n ÷ (−6) = 5. Then substitute your answer to check the equation.
9.Match each one-step equation to its solution: (1) m − 8 = 13; (2) 9q = 63; (3) h ÷ 4 = 6. Solutions: A. h = 24; B. q = 7; C. m = 21.
- 1. m − 8 = 13
- 2. 9q = 63
- 3. h ÷ 4 = 6
- B. q = 7
- A. h = 24
- C. m = 21
10.True or false? The solution to 15 = −3x is x = −5. Show a quick substitution check.
11.Create a one-step equation with solution x = 9 that uses division, then solve it to prove your equation works.
2 printable pages
Page 1
Page 2
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