Year 8 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Year 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.Max thinks of a number, subtracts 10 and multiplies the result by 3. The answer is 30. What was the number?
Answer: 20
- 3(n − 10) = 30
- n − 10 = 10
- n = 20
2.Amelia 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
3.Ava thinks of a number, multiplies it by 5 and then adds 4. The answer is 19. Write an equation and find the number.
Answer: 3
- Let the number be n: 5n + 4 = 19
- 5n = 15
- n = 3
4.Olivia thinks of a number, multiplies it by 4 and then adds 6. The answer is 82. Write an equation and find the number.
Answer: 19
- Let the number be n: 4n + 6 = 82
- 4n = 76
- n = 19
5.Layla thinks of a number, subtracts 9 and multiplies the result by 3. The answer is 24. What was the number?
Answer: 17
- 3(n − 9) = 24
- n − 9 = 8
- n = 17
6.Kai thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 55. What was the number?
Answer: 19
- 5(n − 8) = 55
- n − 8 = 11
- n = 19
7.Noah thinks of a number, multiplies it by 4 and then adds 6. The answer is 66. Write an equation and find the number.
Answer: 15
- Let the number be n: 4n + 6 = 66
- 4n = 60
- n = 15
8.Priya thinks of a number, multiplies it by 3 and then adds 4. The answer is 34. Write an equation and find the number.
Answer: 10
- Let the number be n: 3n + 4 = 34
- 3n = 30
- n = 10
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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