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 9Level 2 · Standard
Free Year 9 Equation Word Problems Worksheet — Level 2
Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems. Expected-level practice for this year group. This Year 9 worksheet has 8 questions and comes with a full answer sheet showing the working for every question.
Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 9
- Subject
- Maths
- Topic
- Linear Equations
- Difficulty
- Level 2 · Standard
- Estimated time
- 20 minutes
- Curriculum
- New Zealand Curriculum
- Questions
- 8
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practise
- writing equations from word problems
- solving linear equations
- checking solutions in context
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 9 Equation Word Problems Worksheet — Level 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 9 students (typically ages 13–14) working on linear equations. It is pitched at level 2 · standard; an easier version and a harder version are 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 20 minutes for 8 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 9 Equation Word Problems Worksheet — Level 3, then check understanding with the Year 9 Linear Equations Topic Test.
Preview
Success TutoringWorksheetsYear 9 · Mathematics · Linear EquationsYear 9 Equation Word Problems Worksheet — Level 2
Name
Date
Score /
For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.
1.Aisha thinks of a number, subtracts 12 and multiplies the result by 2. The answer is 24. What was the number?
2.Zoe thinks of a number, multiplies it by 2 and then adds 12. The answer is 18. Write an equation and find the number.
3.A rectangle is 10 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.
4.Leo thinks of a number, multiplies it by 6 and then adds 3. The answer is 123. Write an equation and find the number.
5.Jack thinks of a number, multiplies it by 3 and then adds 6. The answer is 12. Write an equation and find the number.
6.The sum of 4 consecutive whole numbers is 214. Find the numbers.
7.Grace thinks of a number, multiplies it by 2 and then adds 6. The answer is 34. Write an equation and find the number.
8.A rectangle is 10 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.
Preview — the PDF contains the full resource and answer sheet.
More Year 9 linear equations resources
- Worksheet
Year 9 Solving Linear Equations Worksheet — Level 1
One-step, two-step and equations with brackets or variables on both sides. Builds confidence with the core skill before adding complexity.…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 9 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 9…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 9 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 9…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 9 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
- Worksheet
Year 9 Solving Linear Inequalities Worksheet — Level 1
Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 9 Solving Linear Inequalities Worksheet — Level 2
Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
- Worksheet
Year 9 Solving Linear Inequalities Worksheet — Level 3
Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…
- Difficulty
- Level 3 · Challenge
- Time
- 15 min
- Questions
- 12 questions
- Answers
- Answers included
Linear Equations in other year levels
- Year 8 Solving Linear Equations Worksheet — Level 1
Worksheet · Year 8 · Linear Equations · Level 1 · Easier
- Year 8 Solving Linear Equations Worksheet — Level 1 (Set 2)
Worksheet · Year 8 · Linear Equations · Level 1 · Easier
- Year 10 Solving Linear Equations Worksheet — Level 1
Worksheet · Year 10 · Linear Equations · Level 1 · Easier
- Year 10 Solving Linear Equations Worksheet — Level 2
Worksheet · Year 10 · Linear Equations · Level 2 · Standard
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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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