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Year 7 Equation Word Problems Worksheet — Level 2 — Practice Set 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 — Practice Set 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 5 cm longer than it is wide. Its perimeter is 90 cm. Find its width and length.

Answer: width 20 cm, length 25 cm

  1. 2(w + w + 5) = 90
  2. 4w + 10 = 90
  3. w = 20, so length = 25
2.Leo thinks of a number, multiplies it by 3 and then adds 15. The answer is 24. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 3n + 15 = 24
  2. 3n = 9
  3. n = 3
3.Aisha thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 75. What was the number?

Answer: 18

  1. 5(n − 3) = 75
  2. n − 3 = 15
  3. n = 18
4.Ruby thinks of a number, multiplies it by 5 and then adds 14. The answer is 94. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 5n + 14 = 94
  2. 5n = 80
  3. n = 16
5.A rectangle is 9 cm longer than it is wide. Its perimeter is 30 cm. Find its width and length.

Answer: width 3 cm, length 12 cm

  1. 2(w + w + 9) = 30
  2. 4w + 18 = 30
  3. w = 3, so length = 12
6.The sum of 2 consecutive whole numbers is 83. Find the numbers.

Answer: 41, 42

  1. n + (n + 1) = 83
  2. 2n + 1 = 83
  3. n = 41
7.Amelia thinks of a number, multiplies it by 4 and then adds 10. The answer is 26. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 4n + 10 = 26
  2. 4n = 16
  3. n = 4
8.A rectangle is 5 cm longer than it is wide. Its perimeter is 50 cm. Find its width and length.

Answer: width 10 cm, length 15 cm

  1. 2(w + w + 5) = 50
  2. 4w + 10 = 50
  3. w = 10, so length = 15
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