Year 8 Equation Word Problems Worksheet — Level 3 — Practice Set 2 — 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 2 — 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 47. Find the numbers.
Answer: 23, 24
- n + (n + 1) = 47
- 2n + 1 = 47
- n = 23
2.A rectangle is 6 cm longer than it is wide. Its perimeter is 64 cm. Find its width and length.
Answer: width 13 cm, length 19 cm
- 2(w + w + 6) = 64
- 4w + 12 = 64
- w = 13, so length = 19
3.The sum of 4 consecutive whole numbers is 38. Find the numbers.
Answer: 8, 9, 10, 11
- n + (n + 1) + (n + 2) + (n + 3) = 38
- 4n + 6 = 38
- n = 8
4.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
5.The sum of 3 consecutive whole numbers is 36. Find the numbers.
Answer: 11, 12, 13
- n + (n + 1) + (n + 2) = 36
- 3n + 3 = 36
- n = 11
6.Aisha buys some notebooks at $3.50 each and pays $2.00 for delivery. The total is $16.00. How many notebooks did Aisha buy?
Answer: 4
- 3.50n + 2.00 = 16.00
- 3.50n = 14.00
- n = 4
7.The sum of 4 consecutive whole numbers is 142. Find the numbers.
Answer: 34, 35, 36, 37
- n + (n + 1) + (n + 2) + (n + 3) = 142
- 4n + 6 = 142
- n = 34
8.Isla buys some notebooks at $2.00 each and pays $6.00 for delivery. The total is $14.00. How many notebooks did Isla buy?
Answer: 4
- 2.00n + 6.00 = 14.00
- 2.00n = 8.00
- 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.