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: New Zealand 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: New Zealand 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

1Year 10 Factorising and Solving Quadratics Worksheet — Level 1

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 10 students (typically ages 14–15) 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 Year 10 Factorising and Solving Quadratics Worksheet — Level 1.

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.

1.2(x + 7) = 8

2.6(x + 6) = 48

3.6x − 8 = 3x + 7

4.4(x + 2) = −12

5.4(x − 8) = −40

6.6x + 10 = 2x + 14

7.9x + 3 = 7x + 21

8.6(x + 3) = −12

9.3x − 8 = 2x − 6

10.3x − 8 = 2x − 15

11.4(x − 1) = −36

12.6(x − 3) = −6

Preview — the PDF contains the full resource and answer sheet.

Linear Equations in other year levels

Year 9 Solving Linear Equations Worksheet — Level 2
Worksheet · Year 9 · Linear Equations · Level 2 · Standard
Year 8 Solving Linear Equations Worksheet — Level 1
Worksheet · Year 8 · Linear Equations · Level 1 · Easier

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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.