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
WorksheetYear 8Level 2 · Standard
Free 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 worksheet has 12 questions and comes with a full answer sheet showing the working for every question.
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
- 15 minutes
- Curriculum
- Australian Curriculum
- Questions
- 12
- Answers
- Included, with working
- Format
- PDF (A4) + print
Students will practise
- 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 Solving Linear Equations Worksheet — Level 2 (Set 2)
How to use this worksheet
- 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 worksheet for?
Year 8 students (typically ages 13–14) working on linear equations. It is pitched at level 2 · standard; a harder version is linked above.
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 15 minutes for 12 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?
Try Year 8 Solving Linear Equations Worksheet — Level 3, then check understanding with the Year 8 Linear Equations Topic Test.
Preview
Year 8 · Mathematics · Linear Equations
Year 8 Solving Linear Equations Worksheet — Level 2 (Set 2)
Success Tutoring
Student name:
Date:
Score: /
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x + 3 = −7
2.4x + 12 = 0
3.2x + 4 = −2
4.9x + 6 = 96
5.4x + 8 = −28
6.3x − 10 = −19
7.4x + 15 = 59
8.9x − 5 = 67
9.9x + 14 = 122
10.3x − 15 = 15
11.2x + 15 = 17
12.5x − 6 = −31
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 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
- Topic Test
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.
- Difficulty
- Level 2 · Standard
- Time
- 40 min
- Questions
- 18 questions
- Answers
- Answers included
Linear Equations in other year levels
- Year 7 Solving Linear Equations Worksheet — Level 1
Worksheet · Year 7 · Linear Equations · Level 1 · Easier
- Year 7 Solving Linear Equations Worksheet — Level 1 (Set 2)
Worksheet · Year 7 · Linear Equations · Level 1 · Easier
- Year 9 Solving Linear Equations Worksheet — Level 3
Worksheet · Year 9 · Linear Equations · Level 3 · Challenge
- Year 9 Solving Linear Equations Worksheet — Level 3 (Set 2)
Worksheet · Year 9 · Linear Equations · Level 3 · Challenge
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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
Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.