Year 8 Equation Word Problems Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 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.Ava buys some notebooks at $4.50 each and pays $6.00 for delivery. The total is $19.50. How many notebooks did Ava buy?
Answer: 3
- 4.50n + 6.00 = 19.50
- 4.50n = 13.50
- n = 3
2.Kai buys some notebooks at $4.00 each and pays $2.00 for delivery. The total is $14.00. How many notebooks did Kai buy?
Answer: 3
- 4.00n + 2.00 = 14.00
- 4.00n = 12.00
- n = 3
3.A rectangle is 4 cm longer than it is wide. Its perimeter is 40 cm. Find its width and length.
Answer: width 8 cm, length 12 cm
- 2(w + w + 4) = 40
- 4w + 8 = 40
- w = 8, so length = 12
4.The sum of 4 consecutive whole numbers is 146. Find the numbers.
Answer: 35, 36, 37, 38
- n + (n + 1) + (n + 2) + (n + 3) = 146
- 4n + 6 = 146
- n = 35
5.The sum of 2 consecutive whole numbers is 25. Find the numbers.
Answer: 12, 13
- n + (n + 1) = 25
- 2n + 1 = 25
- n = 12
6.A rectangle is 5 cm longer than it is wide. Its perimeter is 82 cm. Find its width and length.
Answer: width 18 cm, length 23 cm
- 2(w + w + 5) = 82
- 4w + 10 = 82
- w = 18, so length = 23
7.A rectangle is 10 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.
Answer: width 19 cm, length 29 cm
- 2(w + w + 10) = 96
- 4w + 20 = 96
- w = 19, so length = 29
8.A rectangle is 5 cm longer than it is wide. Its perimeter is 90 cm. Find its width and length.
Answer: width 20 cm, length 25 cm
- 2(w + w + 5) = 90
- 4w + 10 = 90
- w = 20, so length = 25
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.