Year 8 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 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.Ruby thinks of a number, multiplies it by 3 and then adds 6. The answer is 30. Write an equation and find the number.
Answer: 8
- Let the number be n: 3n + 6 = 30
- 3n = 24
- n = 8
2.Archie thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 20. What was the number?
Answer: 13
- 2(n − 3) = 20
- n − 3 = 10
- n = 13
3.Zoe thinks of a number, multiplies it by 6 and then adds 1. The answer is 121. Write an equation and find the number.
Answer: 20
- Let the number be n: 6n + 1 = 121
- 6n = 120
- n = 20
4.Archie thinks of a number, subtracts 12 and multiplies the result by 3. The answer is 39. What was the number?
Answer: 25
- 3(n − 12) = 39
- n − 12 = 13
- n = 25
5.Lucas thinks of a number, multiplies it by 6 and then adds 4. The answer is 58. Write an equation and find the number.
Answer: 9
- Let the number be n: 6n + 4 = 58
- 6n = 54
- n = 9
6.Oliver thinks of a number, multiplies it by 4 and then adds 5. The answer is 37. Write an equation and find the number.
Answer: 8
- Let the number be n: 4n + 5 = 37
- 4n = 32
- n = 8
7.Ethan thinks of a number, multiplies it by 6 and then adds 15. The answer is 93. Write an equation and find the number.
Answer: 13
- Let the number be n: 6n + 15 = 93
- 6n = 78
- n = 13
8.Olivia thinks of a number, subtracts 3 and multiplies the result by 3. The answer is 12. What was the number?
Answer: 7
- 3(n − 3) = 12
- n − 3 = 4
- 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.