Year 8 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Year 8 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.Layla thinks of a number, multiplies it by 2 and then adds 7. The answer is 13. Write an equation and find the number.
Answer: 3
- Let the number be n: 2n + 7 = 13
- 2n = 6
- n = 3
2.Zoe thinks of a number, subtracts 2 and multiplies the result by 5. The answer is 25. What was the number?
Answer: 7
- 5(n − 2) = 25
- n − 2 = 5
- n = 7
3.Max thinks of a number, multiplies it by 2 and then adds 7. The answer is 29. Write an equation and find the number.
Answer: 11
- Let the number be n: 2n + 7 = 29
- 2n = 22
- n = 11
4.Noah thinks of a number, multiplies it by 5 and then adds 13. The answer is 93. Write an equation and find the number.
Answer: 16
- Let the number be n: 5n + 13 = 93
- 5n = 80
- n = 16
5.Hunter thinks of a number, subtracts 7 and multiplies the result by 4. The answer is 24. What was the number?
Answer: 13
- 4(n − 7) = 24
- n − 7 = 6
- n = 13
6.Grace thinks of a number, multiplies it by 5 and then adds 9. The answer is 74. Write an equation and find the number.
Answer: 13
- Let the number be n: 5n + 9 = 74
- 5n = 65
- n = 13
7.Isla thinks of a number, subtracts 7 and multiplies the result by 5. The answer is 45. What was the number?
Answer: 16
- 5(n − 7) = 45
- n − 7 = 9
- n = 16
8.Amelia thinks of a number, multiplies it by 5 and then adds 3. The answer is 68. Write an equation and find the number.
Answer: 13
- Let the number be n: 5n + 3 = 68
- 5n = 65
- n = 13
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.
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