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.Mia buys some notebooks at $4.50 each and pays $4.00 for delivery. The total is $22.00. How many notebooks did Mia buy?
Answer: 4
- 4.50n + 4.00 = 22.00
- 4.50n = 18.00
- n = 4
2.Liam buys some notebooks at $1.50 each and pays $6.00 for delivery. The total is $12.00. How many notebooks did Liam buy?
Answer: 4
- 1.50n + 6.00 = 12.00
- 1.50n = 6.00
- n = 4
3.Harper buys some notebooks at $2.50 each and pays $6.00 for delivery. The total is $13.50. How many notebooks did Harper buy?
Answer: 3
- 2.50n + 6.00 = 13.50
- 2.50n = 7.50
- n = 3
4.The sum of 4 consecutive whole numbers is 110. Find the numbers.
Answer: 26, 27, 28, 29
- n + (n + 1) + (n + 2) + (n + 3) = 110
- 4n + 6 = 110
- n = 26
5.The sum of 3 consecutive whole numbers is 93. Find the numbers.
Answer: 30, 31, 32
- n + (n + 1) + (n + 2) = 93
- 3n + 3 = 93
- n = 30
6.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
7.Jayden buys some notebooks at $4.00 each and pays $7.00 for delivery. The total is $15.00. How many notebooks did Jayden buy?
Answer: 2
- 4.00n + 7.00 = 15.00
- 4.00n = 8.00
- n = 2
8.A rectangle is 9 cm longer than it is wide. Its perimeter is 78 cm. Find its width and length.
Answer: width 15 cm, length 24 cm
- 2(w + w + 9) = 78
- 4w + 18 = 78
- w = 15, so length = 24
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.