8th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 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 — Practice Set 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.The sum of 2 consecutive whole numbers is 49. Find the numbers.
Answer: 24, 25
- n + (n + 1) = 49
- 2n + 1 = 49
- n = 24
2.A rectangle is 5 cm longer than it is wide. Its perimeter is 66 cm. Find its width and length.
Answer: width 14 cm, length 19 cm
- 2(w + w + 5) = 66
- 4w + 10 = 66
- w = 14, so length = 19
3.The sum of 3 consecutive whole numbers is 180. Find the numbers.
Answer: 59, 60, 61
- n + (n + 1) + (n + 2) = 180
- 3n + 3 = 180
- n = 59
4.A rectangle is 9 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.
Answer: width 6 cm, length 15 cm
- 2(w + w + 9) = 42
- 4w + 18 = 42
- w = 6, so length = 15
5.Ruby buys some notebooks at $2.00 each and pays $4.00 for delivery. The total is $8.00. How many notebooks did Ruby buy?
Answer: 2
- 2.00n + 4.00 = 8.00
- 2.00n = 4.00
- n = 2
6.Ruby buys some notebooks at $4.00 each and pays $4.00 for delivery. The total is $24.00. How many notebooks did Ruby buy?
Answer: 5
- 4.00n + 4.00 = 24.00
- 4.00n = 20.00
- n = 5
7.Archie buys some notebooks at $3.50 each and pays $1.00 for delivery. The total is $15.00. How many notebooks did Archie buy?
Answer: 4
- 3.50n + 1.00 = 15.00
- 3.50n = 14.00
- n = 4
8.Liam buys some notebooks at $4.00 each and pays $8.00 for delivery. The total is $24.00. How many notebooks did Liam buy?
Answer: 4
- 4.00n + 8.00 = 24.00
- 4.00n = 16.00
- n = 4
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.