Study Guide
Solving Linear Equations
Explains the balance method for solving equations: do the same thing to both sides using inverse operations. Builds from one-step…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
Topic TestYear 8Level 2 · Standard
Free Year 8 Linear Equations Topic Test
Two-step equations, equations with brackets and expanding brackets in a 40-minute Year 8 test with marks and worked solutions.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 8
- Subject
- Mathematics
- Topic
- Linear Equations
- Difficulty
- Level 2 · Standard
- Estimated time
- 40 minutes
- Curriculum
- Australian Curriculum
- Questions
- 18
- Answers
- Included, with working
- Format
- PDF (A4) + print
Students will practise
- expanding single brackets
- collecting like terms
- working with negative terms
- solving two-step equations
- using inverse operations
- checking solutions
Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: Year 8 Linear Equations Topic Test
Ready for more? Move on to Year 9 Mathematics.
How to use this topic test
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this topic test for?
Year 8 students (typically ages 13–14) working on linear equations. It is pitched at level 2 · standard.
Are the answers included?
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
How long does it take?
About 40 minutes for 18 questions. Short, regular sessions work best: two or three a week beats one long one.
Do I need to sign up to download?
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
What should we do next?
Explore more Year 8 mathematics resources.
Preview
Year 8 · Mathematics · Linear Equations
Year 8 Linear Equations Topic Test
Success Tutoring
Student name:
Date:
Score: /
Time allowed: 40 minutes. Total marks: 30. Show your working — marks are given for method as well as answers.
Part A — Expanding Brackets
1.Expand: −4(x − 2)[1 mark]
2.Expand: 5(2x − 6)[1 mark]
3.Expand: −1(3x − 8)[1 mark]
4.Expand: −4(4x − 9)[1 mark]
5.Expand: 4(5x − 9)[1 mark]
6.Expand: 4(x + 9)[1 mark]
Part B — Solving Linear Equations
7.4x + 11 = 15[2 marks]
8.4x − 2 = −10[2 marks]
9.2x − 1 = 21[2 marks]
10.8x − 7 = −31[2 marks]
11.5x − 12 = 18[2 marks]
12.6x + 9 = −3[2 marks]
13.7x + 1 = −62[2 marks]
14.8x + 15 = −25[2 marks]
Part C — Solving Linear Equations
15.4(x − 4) = −44[2 marks]
16.5x + 3 = 2x + 39[2 marks]
17.3(x + 4) = 3[2 marks]
18.3x − 3 = 2x + 6[2 marks]
Preview — the PDF contains the full resource and answer sheet.
More Year 8 linear equations resources
- Worksheet
Year 8 Solving Linear Equations Worksheet — Level 2
One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 8…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 8 Solving Linear Equations Worksheet — Level 2 (Set 2)
One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 8…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 8 Solving Linear Equations Worksheet — Level 3
One-step, two-step and equations with brackets or variables on both sides. A challenge set for students ready to stretch further. This…
- Difficulty
- Level 3 · Challenge
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
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About this resource
- Created by
- Success Tutoring Maths Team
- Reviewed by
- Success Tutoring
- Last reviewed
- 1 October 2026
- How it was made
- Generated by checked procedures
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