8th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 4 — 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 2 — Practice Set 4 — 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 177. Find the numbers.
Answer: 58, 59, 60
- n + (n + 1) + (n + 2) = 177
- 3n + 3 = 177
- n = 58
2.Aisha thinks of a number, subtracts 2 and multiplies the result by 2. The answer is 8. What was the number?
Answer: 6
- 2(n − 2) = 8
- n − 2 = 4
- n = 6
3.Layla thinks of a number, multiplies it by 5 and then adds 12. The answer is 112. Write an equation and find the number.
Answer: 20
- Let the number be n: 5n + 12 = 112
- 5n = 100
- n = 20
4.A rectangle is 8 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.
Answer: width 11 cm, length 19 cm
- 2(w + w + 8) = 60
- 4w + 16 = 60
- w = 11, so length = 19
5.Jack thinks of a number, subtracts 10 and multiplies the result by 2. The answer is 2. What was the number?
Answer: 11
- 2(n − 10) = 2
- n − 10 = 1
- n = 11
6.A rectangle is 8 cm longer than it is wide. Its perimeter is 24 cm. Find its width and length.
Answer: width 2 cm, length 10 cm
- 2(w + w + 8) = 24
- 4w + 16 = 24
- w = 2, so length = 10
7.The sum of 2 consecutive whole numbers is 13. Find the numbers.
Answer: 6, 7
- n + (n + 1) = 13
- 2n + 1 = 13
- n = 6
8.A rectangle is 6 cm longer than it is wide. Its perimeter is 24 cm. Find its width and length.
Answer: width 3 cm, length 9 cm
- 2(w + w + 6) = 24
- 4w + 12 = 24
- w = 3, so length = 9
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.