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WorksheetYear 10Level 3 · Challenge

Free Year 10 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 Year 10 worksheet has 12 questions and comes with a full answer sheet showing the working for every question.

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Year
Year 10
Subject
Mathematics
Topic
Linear Equations
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
Australian Curriculum
Questions
12
Answers
Included, with working
Format
PDF (A4) + print

Students will practise

  • solving equations with brackets and variables on both sides
  • 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 10 Solving Linear Equations Worksheet — Level 3

  1. 1Quadratics Cheat Sheet: Factorising and Solving
  2. 2Year 10 Factorising and Solving Quadratics Worksheet — Level 2
  3. 3Year 10 Factorising and Solving Quadratics Worksheet — Level 2 (Set 2)
Study guide

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 10 students (typically ages 15–16) working on linear equations. It is pitched at level 3 · challenge.

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 Quadratics Cheat Sheet: Factorising and Solving.

Preview

Year 10 · Mathematics · Linear Equations

Year 10 Solving Linear Equations Worksheet — Level 3

Success Tutoring

Student name:

Date:

Score: /

Solve each equation. Show every step and check your answer by substituting it back in.

1.4(x + 8) = 80
2.9x − 9 = 5x − 21
3.4(x + 2) = 32
4.5(x + 8) = 80
5.4x − 8 = 2x + 10
6.3(x − 7) = −9
7.6x − 10 = 2x + 22
8.5x − 10 = 2x + 14
9.3(x − 6) = −39
10.8x + 5 = 2x + 71
11.2(x − 1) = 10
12.8x + 10 = 2x + 64
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Preview — the PDF contains the full resource and answer sheet.

Linear Equations in other year levels

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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.