8th Grade Equation Word Problems Worksheet — Level 3 — 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 — 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.Lucas buys some notebooks at $1.50 each and pays $6.00 for delivery. The total is $9.00. How many notebooks did Lucas buy?
Answer: 2
- 1.50n + 6.00 = 9.00
- 1.50n = 3.00
- n = 2
2.A rectangle is 6 cm longer than it is wide. Its perimeter is 92 cm. Find its width and length.
Answer: width 20 cm, length 26 cm
- 2(w + w + 6) = 92
- 4w + 12 = 92
- w = 20, so length = 26
3.The sum of 2 consecutive whole numbers is 23. Find the numbers.
Answer: 11, 12
- n + (n + 1) = 23
- 2n + 1 = 23
- n = 11
4.Lucas buys some notebooks at $3.00 each and pays $6.00 for delivery. The total is $21.00. How many notebooks did Lucas buy?
Answer: 5
- 3.00n + 6.00 = 21.00
- 3.00n = 15.00
- n = 5
5.A rectangle is 4 cm longer than it is wide. Its perimeter is 88 cm. Find its width and length.
Answer: width 20 cm, length 24 cm
- 2(w + w + 4) = 88
- 4w + 8 = 88
- w = 20, so length = 24
6.Jack buys some notebooks at $3.00 each and pays $1.00 for delivery. The total is $19.00. How many notebooks did Jack buy?
Answer: 6
- 3.00n + 1.00 = 19.00
- 3.00n = 18.00
- n = 6
7.The sum of 2 consecutive whole numbers is 119. Find the numbers.
Answer: 59, 60
- n + (n + 1) = 119
- 2n + 1 = 119
- n = 59
8.Hunter buys some notebooks at $1.00 each and pays $5.00 for delivery. The total is $7.00. How many notebooks did Hunter buy?
Answer: 2
- 1.00n + 5.00 = 7.00
- 1.00n = 2.00
- n = 2
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.