Year 9 Equation Word Problems Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Equation Word Problems Worksheet — Level 1 — Answers
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.Cooper thinks of a number, multiplies it by 3 and then adds 8. The answer is 65. Write an equation and find the number.
Answer: 19
- Let the number be n: 3n + 8 = 65
- 3n = 57
- n = 19
2.Mason thinks of a number, subtracts 10 and multiplies the result by 3. The answer is 9. What was the number?
Answer: 13
- 3(n − 10) = 9
- n − 10 = 3
- n = 13
3.Jack thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 10. What was the number?
Answer: 13
- 2(n − 8) = 10
- n − 8 = 5
- n = 13
4.Noah thinks of a number, subtracts 12 and multiplies the result by 5. The answer is 25. What was the number?
Answer: 17
- 5(n − 12) = 25
- n − 12 = 5
- n = 17
5.Max thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 30. What was the number?
Answer: 23
- 2(n − 8) = 30
- n − 8 = 15
- n = 23
6.Tom thinks of a number, multiplies it by 6 and then adds 8. The answer is 56. Write an equation and find the number.
Answer: 8
- Let the number be n: 6n + 8 = 56
- 6n = 48
- n = 8
7.Mason thinks of a number, multiplies it by 3 and then adds 4. The answer is 49. Write an equation and find the number.
Answer: 15
- Let the number be n: 3n + 4 = 49
- 3n = 45
- n = 15
8.Noah thinks of a number, subtracts 6 and multiplies the result by 4. The answer is 60. What was the number?
Answer: 21
- 4(n − 6) = 60
- n − 6 = 15
- n = 21
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.