Year 11 Equation Word Problems Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 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 8 cm longer than it is wide. Its perimeter is 76 cm. Find its width and length.
Answer: width 15 cm, length 23 cm
- 2(w + w + 8) = 76
- 4w + 16 = 76
- w = 15, so length = 23
2.The sum of 4 consecutive whole numbers is 106. Find the numbers.
Answer: 25, 26, 27, 28
- n + (n + 1) + (n + 2) + (n + 3) = 106
- 4n + 6 = 106
- n = 25
3.The sum of 3 consecutive whole numbers is 120. Find the numbers.
Answer: 39, 40, 41
- n + (n + 1) + (n + 2) = 120
- 3n + 3 = 120
- n = 39
4.Harper buys some notebooks at $3.50 each and pays $1.00 for delivery. The total is $18.50. How many notebooks did Harper buy?
Answer: 5
- 3.50n + 1.00 = 18.50
- 3.50n = 17.50
- n = 5
5.A rectangle is 9 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.
Answer: width 7 cm, length 16 cm
- 2(w + w + 9) = 46
- 4w + 18 = 46
- w = 7, so length = 16
6.A rectangle is 6 cm longer than it is wide. Its perimeter is 44 cm. Find its width and length.
Answer: width 8 cm, length 14 cm
- 2(w + w + 6) = 44
- 4w + 12 = 44
- w = 8, so length = 14
7.A rectangle is 2 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.
Answer: width 14 cm, length 16 cm
- 2(w + w + 2) = 60
- 4w + 4 = 60
- w = 14, so length = 16
8.The sum of 4 consecutive whole numbers is 210. Find the numbers.
Answer: 51, 52, 53, 54
- n + (n + 1) + (n + 2) + (n + 3) = 210
- 4n + 6 = 210
- n = 51
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.