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.A rectangle is 4 cm longer than it is wide. Its perimeter is 80 cm. Find its width and length.
Answer: width 18 cm, length 22 cm
- 2(w + w + 4) = 80
- 4w + 8 = 80
- w = 18, so length = 22
2.The sum of 4 consecutive whole numbers is 170. Find the numbers.
Answer: 41, 42, 43, 44
- n + (n + 1) + (n + 2) + (n + 3) = 170
- 4n + 6 = 170
- n = 41
3.The sum of 4 consecutive whole numbers is 90. Find the numbers.
Answer: 21, 22, 23, 24
- n + (n + 1) + (n + 2) + (n + 3) = 90
- 4n + 6 = 90
- n = 21
4.Archie thinks of a number, multiplies it by 6 and then adds 10. The answer is 106. Write an equation and find the number.
Answer: 16
- Let the number be n: 6n + 10 = 106
- 6n = 96
- n = 16
5.Ruby thinks of a number, subtracts 3 and multiplies the result by 4. The answer is 88. What was the number?
Answer: 25
- 4(n − 3) = 88
- n − 3 = 22
- n = 25
6.A rectangle is 3 cm longer than it is wide. Its perimeter is 82 cm. Find its width and length.
Answer: width 19 cm, length 22 cm
- 2(w + w + 3) = 82
- 4w + 6 = 82
- w = 19, so length = 22
7.Mason thinks of a number, multiplies it by 4 and then adds 6. The answer is 74. Write an equation and find the number.
Answer: 17
- Let the number be n: 4n + 6 = 74
- 4n = 68
- n = 17
8.A rectangle is 7 cm longer than it is wide. Its perimeter is 50 cm. Find its width and length.
Answer: width 9 cm, length 16 cm
- 2(w + w + 7) = 50
- 4w + 14 = 50
- w = 9, so length = 16
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.