Year 8 Equation Word Problems Worksheet — Level 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 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.The sum of 3 consecutive whole numbers is 63. Find the numbers.
Answer: 20, 21, 22
- n + (n + 1) + (n + 2) = 63
- 3n + 3 = 63
- n = 20
2.Hunter thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 6. What was the number?
Answer: 12
- 2(n − 9) = 6
- n − 9 = 3
- n = 12
3.Ethan thinks of a number, multiplies it by 6 and then adds 10. The answer is 64. Write an equation and find the number.
Answer: 9
- Let the number be n: 6n + 10 = 64
- 6n = 54
- n = 9
4.The sum of 2 consecutive whole numbers is 67. Find the numbers.
Answer: 33, 34
- n + (n + 1) = 67
- 2n + 1 = 67
- n = 33
5.A rectangle is 6 cm longer than it is wide. Its perimeter is 72 cm. Find its width and length.
Answer: width 15 cm, length 21 cm
- 2(w + w + 6) = 72
- 4w + 12 = 72
- w = 15, so length = 21
6.A rectangle is 6 cm longer than it is wide. Its perimeter is 92 cm. Find its width and length.
Answer: width 20 cm, length 26 cm
- 2(w + w + 6) = 92
- 4w + 12 = 92
- w = 20, so length = 26
7.Oliver thinks of a number, multiplies it by 2 and then adds 11. The answer is 45. Write an equation and find the number.
Answer: 17
- Let the number be n: 2n + 11 = 45
- 2n = 34
- n = 17
8.The sum of 2 consecutive whole numbers is 73. Find the numbers.
Answer: 36, 37
- n + (n + 1) = 73
- 2n + 1 = 73
- n = 36
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.