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Year 7 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — 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 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 48 cm. Find its width and length.

Answer: width 10 cm, length 14 cm

  1. 2(w + w + 4) = 48
  2. 4w + 8 = 48
  3. w = 10, so length = 14
2.The sum of 2 consecutive whole numbers is 59. Find the numbers.

Answer: 29, 30

  1. n + (n + 1) = 59
  2. 2n + 1 = 59
  3. n = 29
3.Ethan thinks of a number, multiplies it by 4 and then adds 8. The answer is 24. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 4n + 8 = 24
  2. 4n = 16
  3. n = 4
4.A rectangle is 5 cm longer than it is wide. Its perimeter is 26 cm. Find its width and length.

Answer: width 4 cm, length 9 cm

  1. 2(w + w + 5) = 26
  2. 4w + 10 = 26
  3. w = 4, so length = 9
5.The sum of 4 consecutive whole numbers is 178. Find the numbers.

Answer: 43, 44, 45, 46

  1. n + (n + 1) + (n + 2) + (n + 3) = 178
  2. 4n + 6 = 178
  3. n = 43
6.A rectangle is 7 cm longer than it is wide. Its perimeter is 54 cm. Find its width and length.

Answer: width 10 cm, length 17 cm

  1. 2(w + w + 7) = 54
  2. 4w + 14 = 54
  3. w = 10, so length = 17
7.Priya thinks of a number, subtracts 5 and multiplies the result by 5. The answer is 90. What was the number?

Answer: 23

  1. 5(n − 5) = 90
  2. n − 5 = 18
  3. n = 23
8.The sum of 4 consecutive whole numbers is 30. Find the numbers.

Answer: 6, 7, 8, 9

  1. n + (n + 1) + (n + 2) + (n + 3) = 30
  2. 4n + 6 = 30
  3. n = 6
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