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9th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 9th Grade linear equations worksheet.

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations

9th Grade 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.The sum of 3 consecutive whole numbers is 129. Find the numbers.

Answer: 42, 43, 44

  1. n + (n + 1) + (n + 2) = 129
  2. 3n + 3 = 129
  3. n = 42
2.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
3.Noah thinks of a number, multiplies it by 3 and then adds 11. The answer is 20. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 3n + 11 = 20
  2. 3n = 9
  3. n = 3
4.Emma thinks of a number, multiplies it by 2 and then adds 8. The answer is 42. Write an equation and find the number.

Answer: 17

  1. Let the number be n: 2n + 8 = 42
  2. 2n = 34
  3. n = 17
5.The sum of 3 consecutive whole numbers is 111. Find the numbers.

Answer: 36, 37, 38

  1. n + (n + 1) + (n + 2) = 111
  2. 3n + 3 = 111
  3. n = 36
6.Grace thinks of a number, multiplies it by 4 and then adds 10. The answer is 34. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 4n + 10 = 34
  2. 4n = 24
  3. n = 6
7.The sum of 4 consecutive whole numbers is 166. Find the numbers.

Answer: 40, 41, 42, 43

  1. n + (n + 1) + (n + 2) + (n + 3) = 166
  2. 4n + 6 = 166
  3. n = 40
8.The sum of 2 consecutive whole numbers is 75. Find the numbers.

Answer: 37, 38

  1. n + (n + 1) = 75
  2. 2n + 1 = 75
  3. n = 37
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