Year 8 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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 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.Aisha thinks of a number, multiplies it by 3 and then adds 8. The answer is 68. Write an equation and find the number.
Answer: 20
- Let the number be n: 3n + 8 = 68
- 3n = 60
- n = 20
2.Jack thinks of a number, multiplies it by 2 and then adds 3. The answer is 9. Write an equation and find the number.
Answer: 3
- Let the number be n: 2n + 3 = 9
- 2n = 6
- n = 3
3.Chloe thinks of a number, subtracts 2 and multiplies the result by 5. The answer is 30. What was the number?
Answer: 8
- 5(n − 2) = 30
- n − 2 = 6
- n = 8
4.Jayden thinks of a number, subtracts 12 and multiplies the result by 3. The answer is 21. What was the number?
Answer: 19
- 3(n − 12) = 21
- n − 12 = 7
- n = 19
5.Emma thinks of a number, multiplies it by 3 and then adds 6. The answer is 33. Write an equation and find the number.
Answer: 9
- Let the number be n: 3n + 6 = 33
- 3n = 27
- n = 9
6.Max thinks of a number, subtracts 6 and multiplies the result by 2. The answer is 2. What was the number?
Answer: 7
- 2(n − 6) = 2
- n − 6 = 1
- n = 7
7.Zoe thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 14. What was the number?
Answer: 15
- 2(n − 8) = 14
- n − 8 = 7
- n = 15
8.Ethan thinks of a number, multiplies it by 6 and then adds 9. The answer is 81. Write an equation and find the number.
Answer: 12
- Let the number be n: 6n + 9 = 81
- 6n = 72
- 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.