Success TutoringWorksheets

Year 11 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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 1 — 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.Ethan thinks of a number, multiplies it by 5 and then adds 7. The answer is 22. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 5n + 7 = 22
  2. 5n = 15
  3. n = 3
2.Sienna thinks of a number, subtracts 7 and multiplies the result by 5. The answer is 55. What was the number?

Answer: 18

  1. 5(n − 7) = 55
  2. n − 7 = 11
  3. n = 18
3.Hunter thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 5. What was the number?

Answer: 9

  1. 5(n − 8) = 5
  2. n − 8 = 1
  3. n = 9
4.Liam thinks of a number, multiplies it by 5 and then adds 8. The answer is 38. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 5n + 8 = 38
  2. 5n = 30
  3. n = 6
5.Cooper thinks of a number, subtracts 7 and multiplies the result by 5. The answer is 45. What was the number?

Answer: 16

  1. 5(n − 7) = 45
  2. n − 7 = 9
  3. n = 16
6.Grace thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 32. What was the number?

Answer: 19

  1. 2(n − 3) = 32
  2. n − 3 = 16
  3. n = 19
7.Ava thinks of a number, multiplies it by 5 and then adds 4. The answer is 99. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 5n + 4 = 99
  2. 5n = 95
  3. n = 19
8.Ava thinks of a number, multiplies it by 4 and then adds 11. The answer is 91. Write an equation and find the number.

Answer: 20

  1. Let the number be n: 4n + 11 = 91
  2. 4n = 80
  3. n = 20
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: