Year 11 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Year 11 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — 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.Mia thinks of a number, multiplies it by 2 and then adds 5. The answer is 29. Write an equation and find the number.
Answer: 12
- Let the number be n: 2n + 5 = 29
- 2n = 24
- n = 12
2.Mia thinks of a number, multiplies it by 3 and then adds 12. The answer is 48. Write an equation and find the number.
Answer: 12
- Let the number be n: 3n + 12 = 48
- 3n = 36
- n = 12
3.Harper thinks of a number, multiplies it by 6 and then adds 13. The answer is 55. Write an equation and find the number.
Answer: 7
- Let the number be n: 6n + 13 = 55
- 6n = 42
- n = 7
4.Jack thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 60. What was the number?
Answer: 22
- 3(n − 2) = 60
- n − 2 = 20
- n = 22
5.Emma thinks of a number, multiplies it by 4 and then adds 14. The answer is 50. Write an equation and find the number.
Answer: 9
- Let the number be n: 4n + 14 = 50
- 4n = 36
- n = 9
6.Ava thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 60. What was the number?
Answer: 17
- 4(n − 2) = 60
- n − 2 = 15
- n = 17
7.Mia thinks of a number, subtracts 4 and multiplies the result by 2. The answer is 40. What was the number?
Answer: 24
- 2(n − 4) = 40
- n − 4 = 20
- n = 24
8.Kai thinks of a number, multiplies it by 6 and then adds 4. The answer is 52. Write an equation and find the number.
Answer: 8
- Let the number be n: 6n + 4 = 52
- 6n = 48
- 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.