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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 4 cm longer than it is wide. Its perimeter is 76 cm. Find its width and length.

Answer: width 17 cm, length 21 cm

  1. 2(w + w + 4) = 76
  2. 4w + 8 = 76
  3. w = 17, so length = 21
2.Liam thinks of a number, multiplies it by 2 and then adds 10. The answer is 28. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 2n + 10 = 28
  2. 2n = 18
  3. n = 9
3.The sum of 4 consecutive whole numbers is 54. Find the numbers.

Answer: 12, 13, 14, 15

  1. n + (n + 1) + (n + 2) + (n + 3) = 54
  2. 4n + 6 = 54
  3. n = 12
4.Olivia thinks of a number, multiplies it by 6 and then adds 14. The answer is 104. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 6n + 14 = 104
  2. 6n = 90
  3. n = 15
5.A rectangle is 9 cm longer than it is wide. Its perimeter is 78 cm. Find its width and length.

Answer: width 15 cm, length 24 cm

  1. 2(w + w + 9) = 78
  2. 4w + 18 = 78
  3. w = 15, so length = 24
6.Leo thinks of a number, subtracts 10 and multiplies the result by 2. The answer is 22. What was the number?

Answer: 21

  1. 2(n − 10) = 22
  2. n − 10 = 11
  3. n = 21
7.A rectangle is 1 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.

Answer: width 15 cm, length 16 cm

  1. 2(w + w + 1) = 62
  2. 4w + 2 = 62
  3. w = 15, so length = 16
8.A rectangle is 1 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.

Answer: width 11 cm, length 12 cm

  1. 2(w + w + 1) = 46
  2. 4w + 2 = 46
  3. w = 11, so length = 12
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