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Year 7 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 7 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear Equations

Year 7 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — 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, multiplies it by 4 and then adds 13. The answer is 77. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 4n + 13 = 77
  2. 4n = 64
  3. n = 16
2.Jack thinks of a number, subtracts 9 and multiplies the result by 4. The answer is 52. What was the number?

Answer: 22

  1. 4(n − 9) = 52
  2. n − 9 = 13
  3. n = 22
3.Olivia thinks of a number, subtracts 3 and multiplies the result by 3. The answer is 27. What was the number?

Answer: 12

  1. 3(n − 3) = 27
  2. n − 3 = 9
  3. n = 12
4.The sum of 4 consecutive whole numbers is 46. Find the numbers.

Answer: 10, 11, 12, 13

  1. n + (n + 1) + (n + 2) + (n + 3) = 46
  2. 4n + 6 = 46
  3. n = 10
5.Priya thinks of a number, multiplies it by 4 and then adds 10. The answer is 82. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 4n + 10 = 82
  2. 4n = 72
  3. n = 18
6.A rectangle is 7 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.

Answer: width 8 cm, length 15 cm

  1. 2(w + w + 7) = 46
  2. 4w + 14 = 46
  3. w = 8, so length = 15
7.Noah thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 35. What was the number?

Answer: 15

  1. 5(n − 8) = 35
  2. n − 8 = 7
  3. n = 15
8.The sum of 4 consecutive whole numbers is 150. Find the numbers.

Answer: 36, 37, 38, 39

  1. n + (n + 1) + (n + 2) + (n + 3) = 150
  2. 4n + 6 = 150
  3. n = 36
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