Year 8 Equation Word Problems Worksheet — Level 2 — 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 2 — 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.Ethan thinks of a number, subtracts 9 and multiplies the result by 3. The answer is 27. What was the number?
Answer: 18
- 3(n − 9) = 27
- n − 9 = 9
- n = 18
2.The sum of 2 consecutive whole numbers is 119. Find the numbers.
Answer: 59, 60
- n + (n + 1) = 119
- 2n + 1 = 119
- n = 59
3.A rectangle is 6 cm longer than it is wide. Its perimeter is 64 cm. Find its width and length.
Answer: width 13 cm, length 19 cm
- 2(w + w + 6) = 64
- 4w + 12 = 64
- w = 13, so length = 19
4.Harper thinks of a number, multiplies it by 2 and then adds 8. The answer is 36. Write an equation and find the number.
Answer: 14
- Let the number be n: 2n + 8 = 36
- 2n = 28
- n = 14
5.Lucas thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 32. What was the number?
Answer: 24
- 2(n − 8) = 32
- n − 8 = 16
- n = 24
6.A rectangle is 8 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.
Answer: width 4 cm, length 12 cm
- 2(w + w + 8) = 32
- 4w + 16 = 32
- w = 4, so length = 12
7.The sum of 3 consecutive whole numbers is 159. Find the numbers.
Answer: 52, 53, 54
- n + (n + 1) + (n + 2) = 159
- 3n + 3 = 159
- n = 52
8.Kai thinks of a number, multiplies it by 5 and then adds 7. The answer is 72. Write an equation and find the number.
Answer: 13
- Let the number be n: 5n + 7 = 72
- 5n = 65
- n = 13
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.