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.A rectangle is 3 cm longer than it is wide. Its perimeter is 78 cm. Find its width and length.
Answer: width 18 cm, length 21 cm
- 2(w + w + 3) = 78
- 4w + 6 = 78
- w = 18, so length = 21
2.A rectangle is 8 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 13 cm, length 21 cm
- 2(w + w + 8) = 68
- 4w + 16 = 68
- w = 13, so length = 21
3.The sum of 2 consecutive whole numbers is 85. Find the numbers.
Answer: 42, 43
- n + (n + 1) = 85
- 2n + 1 = 85
- n = 42
4.A rectangle is 10 cm longer than it is wide. Its perimeter is 64 cm. Find its width and length.
Answer: width 11 cm, length 21 cm
- 2(w + w + 10) = 64
- 4w + 20 = 64
- w = 11, so length = 21
5.The sum of 2 consecutive whole numbers is 17. Find the numbers.
Answer: 8, 9
- n + (n + 1) = 17
- 2n + 1 = 17
- n = 8
6.A rectangle is 3 cm longer than it is wide. Its perimeter is 70 cm. Find its width and length.
Answer: width 16 cm, length 19 cm
- 2(w + w + 3) = 70
- 4w + 6 = 70
- w = 16, so length = 19
7.Hunter buys some notebooks at $4.50 each and pays $1.00 for delivery. The total is $28.00. How many notebooks did Hunter buy?
Answer: 6
- 4.50n + 1.00 = 28.00
- 4.50n = 27.00
- n = 6
8.The sum of 2 consecutive whole numbers is 73. Find the numbers.
Answer: 36, 37
- n + (n + 1) = 73
- 2n + 1 = 73
- n = 36
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.