8th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations8th Grade Equation Word Problems Worksheet — Level 3 — 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.The sum of 3 consecutive whole numbers is 30. Find the numbers.
Answer: 9, 10, 11
- n + (n + 1) + (n + 2) = 30
- 3n + 3 = 30
- n = 9
2.A rectangle is 2 cm longer than it is wide. Its perimeter is 48 cm. Find its width and length.
Answer: width 11 cm, length 13 cm
- 2(w + w + 2) = 48
- 4w + 4 = 48
- w = 11, so length = 13
3.The sum of 3 consecutive whole numbers is 72. Find the numbers.
Answer: 23, 24, 25
- n + (n + 1) + (n + 2) = 72
- 3n + 3 = 72
- n = 23
4.The sum of 4 consecutive whole numbers is 230. Find the numbers.
Answer: 56, 57, 58, 59
- n + (n + 1) + (n + 2) + (n + 3) = 230
- 4n + 6 = 230
- n = 56
5.A rectangle is 10 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.
Answer: width 19 cm, length 29 cm
- 2(w + w + 10) = 96
- 4w + 20 = 96
- w = 19, so length = 29
6.A rectangle is 2 cm longer than it is wide. Its perimeter is 64 cm. Find its width and length.
Answer: width 15 cm, length 17 cm
- 2(w + w + 2) = 64
- 4w + 4 = 64
- w = 15, so length = 17
7.A rectangle is 7 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.
Answer: width 12 cm, length 19 cm
- 2(w + w + 7) = 62
- 4w + 14 = 62
- w = 12, so length = 19
8.A rectangle is 1 cm longer than it is wide. Its perimeter is 82 cm. Find its width and length.
Answer: width 20 cm, length 21 cm
- 2(w + w + 1) = 82
- 4w + 2 = 82
- w = 20, so length = 21
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.