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Year 9 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — Answers

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

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Equations

Year 9 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.Liam 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
2.Leo thinks of a number, subtracts 9 and multiplies the result by 4. The answer is 56. What was the number?

Answer: 23

  1. 4(n − 9) = 56
  2. n − 9 = 14
  3. n = 23
3.A rectangle is 6 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.

Answer: width 14 cm, length 20 cm

  1. 2(w + w + 6) = 68
  2. 4w + 12 = 68
  3. w = 14, so length = 20
4.A rectangle is 2 cm longer than it is wide. Its perimeter is 28 cm. Find its width and length.

Answer: width 6 cm, length 8 cm

  1. 2(w + w + 2) = 28
  2. 4w + 4 = 28
  3. w = 6, so length = 8
5.Oliver thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 8. What was the number?

Answer: 4

  1. 4(n − 2) = 8
  2. n − 2 = 2
  3. n = 4
6.A rectangle is 7 cm longer than it is wide. Its perimeter is 94 cm. Find its width and length.

Answer: width 20 cm, length 27 cm

  1. 2(w + w + 7) = 94
  2. 4w + 14 = 94
  3. w = 20, so length = 27
7.Noah thinks of a number, subtracts 10 and multiplies the result by 3. The answer is 45. What was the number?

Answer: 25

  1. 3(n − 10) = 45
  2. n − 10 = 15
  3. n = 25
8.The sum of 4 consecutive whole numbers is 114. Find the numbers.

Answer: 27, 28, 29, 30

  1. n + (n + 1) + (n + 2) + (n + 3) = 114
  2. 4n + 6 = 114
  3. n = 27
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