Year 8 Equation Word Problems Worksheet — Level 1 — 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 — 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.Zoe thinks of a number, subtracts 12 and multiplies the result by 2. The answer is 24. What was the number?
Answer: 24
- 2(n − 12) = 24
- n − 12 = 12
- n = 24
2.Liam thinks of a number, multiplies it by 6 and then adds 6. The answer is 90. Write an equation and find the number.
Answer: 14
- Let the number be n: 6n + 6 = 90
- 6n = 84
- n = 14
3.Jayden thinks of a number, multiplies it by 6 and then adds 4. The answer is 94. Write an equation and find the number.
Answer: 15
- Let the number be n: 6n + 4 = 94
- 6n = 90
- n = 15
4.Emma thinks of a number, subtracts 10 and multiplies the result by 2. The answer is 12. What was the number?
Answer: 16
- 2(n − 10) = 12
- n − 10 = 6
- n = 16
5.Cooper thinks of a number, multiplies it by 3 and then adds 11. The answer is 68. Write an equation and find the number.
Answer: 19
- Let the number be n: 3n + 11 = 68
- 3n = 57
- n = 19
6.Jayden thinks of a number, subtracts 9 and multiplies the result by 5. The answer is 30. What was the number?
Answer: 15
- 5(n − 9) = 30
- n − 9 = 6
- n = 15
7.Grace thinks of a number, multiplies it by 5 and then adds 3. The answer is 98. Write an equation and find the number.
Answer: 19
- Let the number be n: 5n + 3 = 98
- 5n = 95
- n = 19
8.Archie thinks of a number, subtracts 3 and multiplies the result by 3. The answer is 27. What was the number?
Answer: 12
- 3(n − 3) = 27
- n − 3 = 9
- n = 12
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.