Year 10 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Year 10 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.Isla thinks of a number, multiplies it by 5 and then adds 15. The answer is 110. Write an equation and find the number.
Answer: 19
- Let the number be n: 5n + 15 = 110
- 5n = 95
- n = 19
2.Max thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 36. What was the number?
Answer: 14
- 3(n − 2) = 36
- n − 2 = 12
- n = 14
3.Jayden thinks of a number, multiplies it by 6 and then adds 12. The answer is 114. Write an equation and find the number.
Answer: 17
- Let the number be n: 6n + 12 = 114
- 6n = 102
- n = 17
4.Max thinks of a number, subtracts 7 and multiplies the result by 3. The answer is 12. What was the number?
Answer: 11
- 3(n − 7) = 12
- n − 7 = 4
- n = 11
5.Isla thinks of a number, multiplies it by 4 and then adds 15. The answer is 23. Write an equation and find the number.
Answer: 2
- Let the number be n: 4n + 15 = 23
- 4n = 8
- n = 2
6.Zoe thinks of a number, multiplies it by 4 and then adds 8. The answer is 48. Write an equation and find the number.
Answer: 10
- Let the number be n: 4n + 8 = 48
- 4n = 40
- n = 10
7.Leo thinks of a number, multiplies it by 6 and then adds 12. The answer is 102. Write an equation and find the number.
Answer: 15
- Let the number be n: 6n + 12 = 102
- 6n = 90
- n = 15
8.Noah thinks of a number, subtracts 5 and multiplies the result by 3. The answer is 60. What was the number?
Answer: 25
- 3(n − 5) = 60
- n − 5 = 20
- n = 25
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.