Year 8 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — 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 4 — 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.Tom thinks of a number, multiplies it by 4 and then adds 11. The answer is 27. Write an equation and find the number.
Answer: 4
- Let the number be n: 4n + 11 = 27
- 4n = 16
- n = 4
2.Mia thinks of a number, subtracts 7 and multiplies the result by 5. The answer is 55. What was the number?
Answer: 18
- 5(n − 7) = 55
- n − 7 = 11
- n = 18
3.Leo thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 12. What was the number?
Answer: 12
- 3(n − 8) = 12
- n − 8 = 4
- n = 12
4.Olivia thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 40. What was the number?
Answer: 12
- 4(n − 2) = 40
- n − 2 = 10
- n = 12
5.Archie thinks of a number, subtracts 7 and multiplies the result by 5. The answer is 35. What was the number?
Answer: 14
- 5(n − 7) = 35
- n − 7 = 7
- n = 14
6.Layla thinks of a number, subtracts 6 and multiplies the result by 5. The answer is 90. What was the number?
Answer: 24
- 5(n − 6) = 90
- n − 6 = 18
- n = 24
7.Aisha 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
8.Amelia thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 28. What was the number?
Answer: 23
- 2(n − 9) = 28
- n − 9 = 14
- n = 23
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.