Year 10 Equation Word Problems Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 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.Layla buys some notebooks at $4.00 each and pays $5.00 for delivery. The total is $13.00. How many notebooks did Layla buy?
Answer: 2
- 4.00n + 5.00 = 13.00
- 4.00n = 8.00
- n = 2
2.Hunter buys some notebooks at $3.00 each and pays $2.00 for delivery. The total is $20.00. How many notebooks did Hunter buy?
Answer: 6
- 3.00n + 2.00 = 20.00
- 3.00n = 18.00
- n = 6
3.The sum of 3 consecutive whole numbers is 108. Find the numbers.
Answer: 35, 36, 37
- n + (n + 1) + (n + 2) = 108
- 3n + 3 = 108
- n = 35
4.A rectangle is 1 cm longer than it is wide. Its perimeter is 54 cm. Find its width and length.
Answer: width 13 cm, length 14 cm
- 2(w + w + 1) = 54
- 4w + 2 = 54
- w = 13, so length = 14
5.Olivia buys some notebooks at $1.50 each and pays $2.00 for delivery. The total is $9.50. How many notebooks did Olivia buy?
Answer: 5
- 1.50n + 2.00 = 9.50
- 1.50n = 7.50
- n = 5
6.A rectangle is 3 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.
Answer: width 14 cm, length 17 cm
- 2(w + w + 3) = 62
- 4w + 6 = 62
- w = 14, so length = 17
7.Ruby buys some notebooks at $2.50 each and pays $3.00 for delivery. The total is $15.50. How many notebooks did Ruby buy?
Answer: 5
- 2.50n + 3.00 = 15.50
- 2.50n = 12.50
- n = 5
8.The sum of 3 consecutive whole numbers is 60. Find the numbers.
Answer: 19, 20, 21
- n + (n + 1) + (n + 2) = 60
- 3n + 3 = 60
- n = 19
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.