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Year 7 Equation Word Problems Worksheet — Level 2 — 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 — 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 94 cm. Find its width and length.

Answer: width 19 cm, length 28 cm

  1. 2(w + w + 9) = 94
  2. 4w + 18 = 94
  3. w = 19, so length = 28
2.The sum of 2 consecutive whole numbers is 115. Find the numbers.

Answer: 57, 58

  1. n + (n + 1) = 115
  2. 2n + 1 = 115
  3. n = 57
3.A rectangle is 1 cm longer than it is wide. Its perimeter is 70 cm. Find its width and length.

Answer: width 17 cm, length 18 cm

  1. 2(w + w + 1) = 70
  2. 4w + 2 = 70
  3. w = 17, so length = 18
4.A rectangle is 7 cm longer than it is wide. Its perimeter is 58 cm. Find its width and length.

Answer: width 11 cm, length 18 cm

  1. 2(w + w + 7) = 58
  2. 4w + 14 = 58
  3. w = 11, so length = 18
5.A rectangle is 9 cm longer than it is wide. Its perimeter is 54 cm. Find its width and length.

Answer: width 9 cm, length 18 cm

  1. 2(w + w + 9) = 54
  2. 4w + 18 = 54
  3. w = 9, so length = 18
6.The sum of 3 consecutive whole numbers is 138. Find the numbers.

Answer: 45, 46, 47

  1. n + (n + 1) + (n + 2) = 138
  2. 3n + 3 = 138
  3. n = 45
7.A rectangle is 3 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.

Answer: width 9 cm, length 12 cm

  1. 2(w + w + 3) = 42
  2. 4w + 6 = 42
  3. w = 9, so length = 12
8.Tom thinks of a number, multiplies it by 4 and then adds 4. The answer is 52. Write an equation and find the number.

Answer: 12

  1. Let the number be n: 4n + 4 = 52
  2. 4n = 48
  3. n = 12
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