Year 8 Equation Word Problems Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Year 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.Mia buys some notebooks at $1.00 each and pays $5.00 for delivery. The total is $7.00. How many notebooks did Mia buy?
Answer: 2
- 1.00n + 5.00 = 7.00
- 1.00n = 2.00
- n = 2
2.The sum of 2 consecutive whole numbers is 89. Find the numbers.
Answer: 44, 45
- n + (n + 1) = 89
- 2n + 1 = 89
- n = 44
3.A rectangle is 4 cm longer than it is wide. Its perimeter is 36 cm. Find its width and length.
Answer: width 7 cm, length 11 cm
- 2(w + w + 4) = 36
- 4w + 8 = 36
- w = 7, so length = 11
4.Priya buys some notebooks at $3.00 each and pays $5.00 for delivery. The total is $17.00. How many notebooks did Priya buy?
Answer: 4
- 3.00n + 5.00 = 17.00
- 3.00n = 12.00
- n = 4
5.Emma buys some notebooks at $3.00 each and pays $5.00 for delivery. The total is $17.00. How many notebooks did Emma buy?
Answer: 4
- 3.00n + 5.00 = 17.00
- 3.00n = 12.00
- n = 4
6.Harper buys some notebooks at $1.00 each and pays $3.00 for delivery. The total is $6.00. How many notebooks did Harper buy?
Answer: 3
- 1.00n + 3.00 = 6.00
- 1.00n = 3.00
- n = 3
7.Noah buys some notebooks at $1.00 each and pays $1.00 for delivery. The total is $6.00. How many notebooks did Noah buy?
Answer: 5
- 1.00n + 1.00 = 6.00
- 1.00n = 5.00
- n = 5
8.Mia buys some notebooks at $3.00 each and pays $5.00 for delivery. The total is $20.00. How many notebooks did Mia buy?
Answer: 5
- 3.00n + 5.00 = 20.00
- 3.00n = 15.00
- n = 5
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.