Year 10 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Year 10 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.Mia thinks of a number, multiplies it by 2 and then adds 5. The answer is 13. Write an equation and find the number.
Answer: 4
- Let the number be n: 2n + 5 = 13
- 2n = 8
- n = 4
2.Harper thinks of a number, subtracts 4 and multiplies the result by 2. The answer is 36. What was the number?
Answer: 22
- 2(n − 4) = 36
- n − 4 = 18
- n = 22
3.Mia thinks of a number, multiplies it by 2 and then adds 8. The answer is 48. Write an equation and find the number.
Answer: 20
- Let the number be n: 2n + 8 = 48
- 2n = 40
- n = 20
4.Max thinks of a number, multiplies it by 3 and then adds 2. The answer is 41. Write an equation and find the number.
Answer: 13
- Let the number be n: 3n + 2 = 41
- 3n = 39
- n = 13
5.Leo thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 9. What was the number?
Answer: 5
- 3(n − 2) = 9
- n − 2 = 3
- n = 5
6.Mia thinks of a number, multiplies it by 3 and then adds 8. The answer is 38. Write an equation and find the number.
Answer: 10
- Let the number be n: 3n + 8 = 38
- 3n = 30
- n = 10
7.Cooper thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 15. What was the number?
Answer: 9
- 3(n − 4) = 15
- n − 4 = 5
- n = 9
8.Leo thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 72. What was the number?
Answer: 22
- 4(n − 4) = 72
- n − 4 = 18
- n = 22
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.