Year 11 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Year 11 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.Harper thinks of a number, multiplies it by 2 and then adds 4. The answer is 42. Write an equation and find the number.
Answer: 19
- Let the number be n: 2n + 4 = 42
- 2n = 38
- n = 19
2.Chloe thinks of a number, multiplies it by 2 and then adds 6. The answer is 16. Write an equation and find the number.
Answer: 5
- Let the number be n: 2n + 6 = 16
- 2n = 10
- n = 5
3.Mason thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 57. What was the number?
Answer: 21
- 3(n − 2) = 57
- n − 2 = 19
- n = 21
4.Isla thinks of a number, multiplies it by 5 and then adds 9. The answer is 54. Write an equation and find the number.
Answer: 9
- Let the number be n: 5n + 9 = 54
- 5n = 45
- n = 9
5.Leo thinks of a number, subtracts 11 and multiplies the result by 5. The answer is 15. What was the number?
Answer: 14
- 5(n − 11) = 15
- n − 11 = 3
- n = 14
6.Hunter thinks of a number, subtracts 2 and multiplies the result by 5. The answer is 95. What was the number?
Answer: 21
- 5(n − 2) = 95
- n − 2 = 19
- n = 21
7.Lucas thinks of a number, multiplies it by 3 and then adds 15. The answer is 66. Write an equation and find the number.
Answer: 17
- Let the number be n: 3n + 15 = 66
- 3n = 51
- n = 17
8.Harper thinks of a number, multiplies it by 5 and then adds 1. The answer is 36. Write an equation and find the number.
Answer: 7
- Let the number be n: 5n + 1 = 36
- 5n = 35
- n = 7
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.