Year 8 Equation Word Problems Worksheet — Level 3 — Practice Set 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 — 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.A rectangle is 4 cm longer than it is wide. Its perimeter is 56 cm. Find its width and length.
Answer: width 12 cm, length 16 cm
- 2(w + w + 4) = 56
- 4w + 8 = 56
- w = 12, so length = 16
2.The sum of 3 consecutive whole numbers is 54. Find the numbers.
Answer: 17, 18, 19
- n + (n + 1) + (n + 2) = 54
- 3n + 3 = 54
- n = 17
3.Priya buys some notebooks at $1.50 each and pays $5.00 for delivery. The total is $12.50. How many notebooks did Priya buy?
Answer: 5
- 1.50n + 5.00 = 12.50
- 1.50n = 7.50
- n = 5
4.Oliver buys some notebooks at $1.00 each and pays $4.00 for delivery. The total is $10.00. How many notebooks did Oliver buy?
Answer: 6
- 1.00n + 4.00 = 10.00
- 1.00n = 6.00
- n = 6
5.Lucas buys some notebooks at $1.50 each and pays $5.00 for delivery. The total is $14.00. How many notebooks did Lucas buy?
Answer: 6
- 1.50n + 5.00 = 14.00
- 1.50n = 9.00
- n = 6
6.A rectangle is 4 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.
Answer: width 6 cm, length 10 cm
- 2(w + w + 4) = 32
- 4w + 8 = 32
- w = 6, so length = 10
7.A rectangle is 1 cm longer than it is wide. Its perimeter is 34 cm. Find its width and length.
Answer: width 8 cm, length 9 cm
- 2(w + w + 1) = 34
- 4w + 2 = 34
- w = 8, so length = 9
8.The sum of 2 consecutive whole numbers is 69. Find the numbers.
Answer: 34, 35
- n + (n + 1) = 69
- 2n + 1 = 69
- n = 34
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.