7th Grade Equation Word Problems Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations7th Grade Equation Word Problems Worksheet — Level 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 2 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.
Answer: width 7 cm, length 9 cm
- 2(w + w + 2) = 32
- 4w + 4 = 32
- w = 7, so length = 9
2.The sum of 4 consecutive whole numbers is 126. Find the numbers.
Answer: 30, 31, 32, 33
- n + (n + 1) + (n + 2) + (n + 3) = 126
- 4n + 6 = 126
- n = 30
3.The sum of 2 consecutive whole numbers is 77. Find the numbers.
Answer: 38, 39
- n + (n + 1) = 77
- 2n + 1 = 77
- n = 38
4.The sum of 3 consecutive whole numbers is 18. Find the numbers.
Answer: 5, 6, 7
- n + (n + 1) + (n + 2) = 18
- 3n + 3 = 18
- n = 5
5.A rectangle is 7 cm longer than it is wide. Its perimeter is 30 cm. Find its width and length.
Answer: width 4 cm, length 11 cm
- 2(w + w + 7) = 30
- 4w + 14 = 30
- w = 4, so length = 11
6.Layla buys some notebooks at $2.00 each and pays $1.00 for delivery. The total is $5.00. How many notebooks did Layla buy?
Answer: 2
- 2.00n + 1.00 = 5.00
- 2.00n = 4.00
- n = 2
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.The sum of 3 consecutive whole numbers is 117. Find the numbers.
Answer: 38, 39, 40
- n + (n + 1) + (n + 2) = 117
- 3n + 3 = 117
- n = 38
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.