Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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.Leo thinks of a number, multiplies it by 2 and then adds 4. The answer is 40. Write an equation and find the number.
Answer: 18
- Let the number be n: 2n + 4 = 40
- 2n = 36
- n = 18
2.Tom thinks of a number, multiplies it by 6 and then adds 8. The answer is 92. Write an equation and find the number.
Answer: 14
- Let the number be n: 6n + 8 = 92
- 6n = 84
- n = 14
3.Priya thinks of a number, subtracts 7 and multiplies the result by 5. The answer is 60. What was the number?
Answer: 19
- 5(n − 7) = 60
- n − 7 = 12
- n = 19
4.Liam thinks of a number, multiplies it by 6 and then adds 9. The answer is 117. Write an equation and find the number.
Answer: 18
- Let the number be n: 6n + 9 = 117
- 6n = 108
- n = 18
5.Zoe thinks of a number, multiplies it by 3 and then adds 15. The answer is 33. Write an equation and find the number.
Answer: 6
- Let the number be n: 3n + 15 = 33
- 3n = 18
- n = 6
6.Emma thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 57. What was the number?
Answer: 23
- 3(n − 4) = 57
- n − 4 = 19
- n = 23
7.Priya thinks of a number, multiplies it by 2 and then adds 11. The answer is 23. Write an equation and find the number.
Answer: 6
- Let the number be n: 2n + 11 = 23
- 2n = 12
- n = 6
8.Ethan thinks of a number, multiplies it by 2 and then adds 10. The answer is 40. Write an equation and find the number.
Answer: 15
- Let the number be n: 2n + 10 = 40
- 2n = 30
- n = 15
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.