Success TutoringWorksheets

Year 9 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 linear equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Equations

Year 9 Equation Word Problems Worksheet — Level 2 — 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.Isla thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 36. What was the number?

Answer: 21

  1. 2(n − 3) = 36
  2. n − 3 = 18
  3. n = 21
2.A rectangle is 4 cm longer than it is wide. Its perimeter is 40 cm. Find its width and length.

Answer: width 8 cm, length 12 cm

  1. 2(w + w + 4) = 40
  2. 4w + 8 = 40
  3. w = 8, so length = 12
3.Emma thinks of a number, multiplies it by 6 and then adds 3. The answer is 15. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 6n + 3 = 15
  2. 6n = 12
  3. n = 2
4.The sum of 4 consecutive whole numbers is 78. Find the numbers.

Answer: 18, 19, 20, 21

  1. n + (n + 1) + (n + 2) + (n + 3) = 78
  2. 4n + 6 = 78
  3. n = 18
5.The sum of 2 consecutive whole numbers is 115. Find the numbers.

Answer: 57, 58

  1. n + (n + 1) = 115
  2. 2n + 1 = 115
  3. n = 57
6.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
7.Ava thinks of a number, multiplies it by 4 and then adds 15. The answer is 95. Write an equation and find the number.

Answer: 20

  1. Let the number be n: 4n + 15 = 95
  2. 4n = 80
  3. n = 20
8.The sum of 3 consecutive whole numbers is 171. Find the numbers.

Answer: 56, 57, 58

  1. n + (n + 1) + (n + 2) = 171
  2. 3n + 3 = 171
  3. n = 56
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: