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7th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 4 — 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 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.The sum of 3 consecutive whole numbers is 153. Find the numbers.

Answer: 50, 51, 52

  1. n + (n + 1) + (n + 2) = 153
  2. 3n + 3 = 153
  3. n = 50
2.The sum of 3 consecutive whole numbers is 108. Find the numbers.

Answer: 35, 36, 37

  1. n + (n + 1) + (n + 2) = 108
  2. 3n + 3 = 108
  3. n = 35
3.Oliver thinks of a number, multiplies it by 3 and then adds 11. The answer is 23. Write an equation and find the number.

Answer: 4

  1. Let the number be n: 3n + 11 = 23
  2. 3n = 12
  3. n = 4
4.Leo thinks of a number, subtracts 11 and multiplies the result by 5. The answer is 55. What was the number?

Answer: 22

  1. 5(n − 11) = 55
  2. n − 11 = 11
  3. n = 22
5.A rectangle is 8 cm longer than it is wide. Its perimeter is 80 cm. Find its width and length.

Answer: width 16 cm, length 24 cm

  1. 2(w + w + 8) = 80
  2. 4w + 16 = 80
  3. w = 16, so length = 24
6.The sum of 4 consecutive whole numbers is 162. Find the numbers.

Answer: 39, 40, 41, 42

  1. n + (n + 1) + (n + 2) + (n + 3) = 162
  2. 4n + 6 = 162
  3. n = 39
7.The sum of 2 consecutive whole numbers is 73. Find the numbers.

Answer: 36, 37

  1. n + (n + 1) = 73
  2. 2n + 1 = 73
  3. n = 36
8.Aisha thinks of a number, multiplies it by 2 and then adds 7. The answer is 19. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 2n + 7 = 19
  2. 2n = 12
  3. n = 6
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