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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.Archie thinks of a number, multiplies it by 2 and then adds 10. The answer is 20. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 2n + 10 = 20
  2. 2n = 10
  3. n = 5
2.Liam thinks of a number, multiplies it by 2 and then adds 10. The answer is 18. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 2n + 10 = 18
  2. 2n = 8
  3. n = 4
3.Kai thinks of a number, subtracts 7 and multiplies the result by 4. The answer is 44. What was the number?

Answer: 18

  1. 4(n − 7) = 44
  2. n − 7 = 11
  3. n = 18
4.A rectangle is 6 cm longer than it is wide. Its perimeter is 44 cm. Find its width and length.

Answer: width 8 cm, length 14 cm

  1. 2(w + w + 6) = 44
  2. 4w + 12 = 44
  3. w = 8, so length = 14
5.The sum of 3 consecutive whole numbers is 132. Find the numbers.

Answer: 43, 44, 45

  1. n + (n + 1) + (n + 2) = 132
  2. 3n + 3 = 132
  3. n = 43
6.A rectangle is 5 cm longer than it is wide. Its perimeter is 30 cm. Find its width and length.

Answer: width 5 cm, length 10 cm

  1. 2(w + w + 5) = 30
  2. 4w + 10 = 30
  3. w = 5, so length = 10
7.Jack thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 4. What was the number?

Answer: 10

  1. 2(n − 8) = 4
  2. n − 8 = 2
  3. n = 10
8.Kai thinks of a number, subtracts 6 and multiplies the result by 3. The answer is 15. What was the number?

Answer: 11

  1. 3(n − 6) = 15
  2. n − 6 = 5
  3. n = 11
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