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.Lucas buys some notebooks at $4.50 each and pays $3.00 for delivery. The total is $16.50. How many notebooks did Lucas buy?
Answer: 3
- 4.50n + 3.00 = 16.50
- 4.50n = 13.50
- n = 3
2.The sum of 4 consecutive whole numbers is 118. Find the numbers.
Answer: 28, 29, 30, 31
- n + (n + 1) + (n + 2) + (n + 3) = 118
- 4n + 6 = 118
- n = 28
3.A rectangle is 1 cm longer than it is wide. Its perimeter is 18 cm. Find its width and length.
Answer: width 4 cm, length 5 cm
- 2(w + w + 1) = 18
- 4w + 2 = 18
- w = 4, so length = 5
4.A rectangle is 4 cm longer than it is wide. Its perimeter is 48 cm. Find its width and length.
Answer: width 10 cm, length 14 cm
- 2(w + w + 4) = 48
- 4w + 8 = 48
- w = 10, so length = 14
5.The sum of 3 consecutive whole numbers is 171. Find the numbers.
Answer: 56, 57, 58
- n + (n + 1) + (n + 2) = 171
- 3n + 3 = 171
- n = 56
6.Ava buys some notebooks at $2.50 each and pays $6.00 for delivery. The total is $21.00. How many notebooks did Ava buy?
Answer: 6
- 2.50n + 6.00 = 21.00
- 2.50n = 15.00
- n = 6
7.A rectangle is 6 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 14 cm, length 20 cm
- 2(w + w + 6) = 68
- 4w + 12 = 68
- w = 14, so length = 20
8.A rectangle is 9 cm longer than it is wide. Its perimeter is 94 cm. Find its width and length.
Answer: width 19 cm, length 28 cm
- 2(w + w + 9) = 94
- 4w + 18 = 94
- w = 19, so length = 28
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.