Success TutoringWorksheets

Year 11 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 11 linear equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear Equations

Year 11 Equation Word Problems Worksheet — Level 2 — 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 2 cm longer than it is wide. Its perimeter is 12 cm. Find its width and length.

Answer: width 2 cm, length 4 cm

  1. 2(w + w + 2) = 12
  2. 4w + 4 = 12
  3. w = 2, so length = 4
2.A rectangle is 9 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.

Answer: width 6 cm, length 15 cm

  1. 2(w + w + 9) = 42
  2. 4w + 18 = 42
  3. w = 6, so length = 15
3.Archie thinks of a number, subtracts 10 and multiplies the result by 5. The answer is 45. What was the number?

Answer: 19

  1. 5(n − 10) = 45
  2. n − 10 = 9
  3. n = 19
4.Lucas thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 45. What was the number?

Answer: 19

  1. 3(n − 4) = 45
  2. n − 4 = 15
  3. n = 19
5.Oliver thinks of a number, subtracts 5 and multiplies the result by 5. The answer is 55. What was the number?

Answer: 16

  1. 5(n − 5) = 55
  2. n − 5 = 11
  3. n = 16
6.A rectangle is 5 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.

Answer: width 13 cm, length 18 cm

  1. 2(w + w + 5) = 62
  2. 4w + 10 = 62
  3. w = 13, so length = 18
7.A rectangle is 2 cm longer than it is wide. Its perimeter is 64 cm. Find its width and length.

Answer: width 15 cm, length 17 cm

  1. 2(w + w + 2) = 64
  2. 4w + 4 = 64
  3. w = 15, so length = 17
8.Oliver thinks of a number, subtracts 6 and multiplies the result by 4. The answer is 20. What was the number?

Answer: 11

  1. 4(n − 6) = 20
  2. n − 6 = 5
  3. n = 11
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.

Great work. Here's what to try next: