8th Grade Equation Word Problems Worksheet — Level 3 — 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 3 — 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.A rectangle is 3 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.
Answer: width 14 cm, length 17 cm
- 2(w + w + 3) = 62
- 4w + 6 = 62
- w = 14, so length = 17
2.The sum of 4 consecutive whole numbers is 42. Find the numbers.
Answer: 9, 10, 11, 12
- n + (n + 1) + (n + 2) + (n + 3) = 42
- 4n + 6 = 42
- n = 9
3.The sum of 3 consecutive whole numbers is 51. Find the numbers.
Answer: 16, 17, 18
- n + (n + 1) + (n + 2) = 51
- 3n + 3 = 51
- n = 16
4.A rectangle is 2 cm longer than it is wide. Its perimeter is 80 cm. Find its width and length.
Answer: width 19 cm, length 21 cm
- 2(w + w + 2) = 80
- 4w + 4 = 80
- w = 19, so length = 21
5.Layla buys some notebooks at $1.50 each and pays $2.00 for delivery. The total is $5.00. How many notebooks did Layla buy?
Answer: 2
- 1.50n + 2.00 = 5.00
- 1.50n = 3.00
- n = 2
6.The sum of 3 consecutive whole numbers is 21. Find the numbers.
Answer: 6, 7, 8
- n + (n + 1) + (n + 2) = 21
- 3n + 3 = 21
- n = 6
7.A rectangle is 5 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.
Answer: width 8 cm, length 13 cm
- 2(w + w + 5) = 42
- 4w + 10 = 42
- w = 8, so length = 13
8.A rectangle is 1 cm longer than it is wide. Its perimeter is 38 cm. Find its width and length.
Answer: width 9 cm, length 10 cm
- 2(w + w + 1) = 38
- 4w + 2 = 38
- w = 9, so length = 10
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.