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Year 10 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Equations

Year 10 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 9 cm longer than it is wide. Its perimeter is 26 cm. Find its width and length.

Answer: width 2 cm, length 11 cm

  1. 2(w + w + 9) = 26
  2. 4w + 18 = 26
  3. w = 2, so length = 11
2.A rectangle is 7 cm longer than it is wide. Its perimeter is 50 cm. Find its width and length.

Answer: width 9 cm, length 16 cm

  1. 2(w + w + 7) = 50
  2. 4w + 14 = 50
  3. w = 9, so length = 16
3.Zoe thinks of a number, multiplies it by 3 and then adds 12. The answer is 60. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 3n + 12 = 60
  2. 3n = 48
  3. n = 16
4.A rectangle is 7 cm longer than it is wide. Its perimeter is 26 cm. Find its width and length.

Answer: width 3 cm, length 10 cm

  1. 2(w + w + 7) = 26
  2. 4w + 14 = 26
  3. w = 3, so length = 10
5.Amelia thinks of a number, multiplies it by 3 and then adds 8. The answer is 14. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 3n + 8 = 14
  2. 3n = 6
  3. n = 2
6.Grace thinks of a number, subtracts 12 and multiplies the result by 4. The answer is 32. What was the number?

Answer: 20

  1. 4(n − 12) = 32
  2. n − 12 = 8
  3. n = 20
7.Amelia thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 42. What was the number?

Answer: 22

  1. 3(n − 8) = 42
  2. n − 8 = 14
  3. n = 22
8.Layla thinks of a number, multiplies it by 5 and then adds 9. The answer is 34. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 5n + 9 = 34
  2. 5n = 25
  3. n = 5
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