Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — 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.Lucas thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 51. What was the number?
Answer: 25
- 3(n − 8) = 51
- n − 8 = 17
- n = 25
2.Ruby thinks of a number, multiplies it by 2 and then adds 14. The answer is 34. Write an equation and find the number.
Answer: 10
- Let the number be n: 2n + 14 = 34
- 2n = 20
- n = 10
3.Olivia thinks of a number, subtracts 7 and multiplies the result by 4. The answer is 36. What was the number?
Answer: 16
- 4(n − 7) = 36
- n − 7 = 9
- n = 16
4.Liam thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 24. What was the number?
Answer: 15
- 2(n − 3) = 24
- n − 3 = 12
- n = 15
5.Tom thinks of a number, multiplies it by 2 and then adds 6. The answer is 46. Write an equation and find the number.
Answer: 20
- Let the number be n: 2n + 6 = 46
- 2n = 40
- n = 20
6.Emma thinks of a number, subtracts 3 and multiplies the result by 3. The answer is 39. What was the number?
Answer: 16
- 3(n − 3) = 39
- n − 3 = 13
- n = 16
7.Harper thinks of a number, multiplies it by 5 and then adds 5. The answer is 30. Write an equation and find the number.
Answer: 5
- Let the number be n: 5n + 5 = 30
- 5n = 25
- n = 5
8.Chloe thinks of a number, subtracts 6 and multiplies the result by 2. The answer is 4. What was the number?
Answer: 8
- 2(n − 6) = 4
- n − 6 = 2
- n = 8
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.