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7th Grade Equation Word Problems Worksheet — Level 1 — Answers

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

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Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations

7th Grade Equation Word Problems Worksheet — Level 1 — 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.Lucas thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 100. What was the number?

Answer: 23

  1. 5(n − 3) = 100
  2. n − 3 = 20
  3. n = 23
2.Aisha thinks of a number, multiplies it by 2 and then adds 12. The answer is 30. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 2n + 12 = 30
  2. 2n = 18
  3. n = 9
3.Tom thinks of a number, multiplies it by 3 and then adds 14. The answer is 41. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 3n + 14 = 41
  2. 3n = 27
  3. n = 9
4.Ruby thinks of a number, subtracts 5 and multiplies the result by 4. The answer is 24. What was the number?

Answer: 11

  1. 4(n − 5) = 24
  2. n − 5 = 6
  3. n = 11
5.Zoe thinks of a number, multiplies it by 5 and then adds 12. The answer is 67. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 5n + 12 = 67
  2. 5n = 55
  3. n = 11
6.Sienna thinks of a number, multiplies it by 6 and then adds 13. The answer is 73. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 6n + 13 = 73
  2. 6n = 60
  3. n = 10
7.Harper thinks of a number, multiplies it by 3 and then adds 7. The answer is 37. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 3n + 7 = 37
  2. 3n = 30
  3. n = 10
8.Grace thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 15. What was the number?

Answer: 9

  1. 3(n − 4) = 15
  2. n − 4 = 5
  3. n = 9
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