Year 10 Equation Word Problems Worksheet — Level 3 — Practice Set 3 — 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 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 5 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.
Answer: width 16 cm, length 21 cm
- 2(w + w + 5) = 74
- 4w + 10 = 74
- w = 16, so length = 21
2.A rectangle is 9 cm longer than it is wide. Its perimeter is 70 cm. Find its width and length.
Answer: width 13 cm, length 22 cm
- 2(w + w + 9) = 70
- 4w + 18 = 70
- w = 13, so length = 22
3.The sum of 2 consecutive whole numbers is 49. Find the numbers.
Answer: 24, 25
- n + (n + 1) = 49
- 2n + 1 = 49
- n = 24
4.Ethan buys some notebooks at $1.00 each and pays $5.00 for delivery. The total is $10.00. How many notebooks did Ethan buy?
Answer: 5
- 1.00n + 5.00 = 10.00
- 1.00n = 5.00
- n = 5
5.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
6.The sum of 3 consecutive whole numbers is 66. Find the numbers.
Answer: 21, 22, 23
- n + (n + 1) + (n + 2) = 66
- 3n + 3 = 66
- n = 21
7.Hunter buys some notebooks at $2.00 each and pays $6.00 for delivery. The total is $18.00. How many notebooks did Hunter buy?
Answer: 6
- 2.00n + 6.00 = 18.00
- 2.00n = 12.00
- n = 6
8.A rectangle is 3 cm longer than it is wide. Its perimeter is 58 cm. Find its width and length.
Answer: width 13 cm, length 16 cm
- 2(w + w + 3) = 58
- 4w + 6 = 58
- w = 13, so length = 16
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.