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7th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 2 — 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 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.Sienna thinks of a number, multiplies it by 6 and then adds 9. The answer is 117. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 6n + 9 = 117
  2. 6n = 108
  3. n = 18
2.Jayden thinks of a number, subtracts 10 and multiplies the result by 3. The answer is 3. What was the number?

Answer: 11

  1. 3(n − 10) = 3
  2. n − 10 = 1
  3. n = 11
3.A rectangle is 5 cm longer than it is wide. Its perimeter is 78 cm. Find its width and length.

Answer: width 17 cm, length 22 cm

  1. 2(w + w + 5) = 78
  2. 4w + 10 = 78
  3. w = 17, so length = 22
4.The sum of 4 consecutive whole numbers is 122. Find the numbers.

Answer: 29, 30, 31, 32

  1. n + (n + 1) + (n + 2) + (n + 3) = 122
  2. 4n + 6 = 122
  3. n = 29
5.The sum of 4 consecutive whole numbers is 190. Find the numbers.

Answer: 46, 47, 48, 49

  1. n + (n + 1) + (n + 2) + (n + 3) = 190
  2. 4n + 6 = 190
  3. n = 46
6.A rectangle is 10 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.

Answer: width 19 cm, length 29 cm

  1. 2(w + w + 10) = 96
  2. 4w + 20 = 96
  3. w = 19, so length = 29
7.Oliver thinks of a number, subtracts 7 and multiplies the result by 4. The answer is 28. What was the number?

Answer: 14

  1. 4(n − 7) = 28
  2. n − 7 = 7
  3. n = 14
8.The sum of 2 consecutive whole numbers is 71. Find the numbers.

Answer: 35, 36

  1. n + (n + 1) = 71
  2. 2n + 1 = 71
  3. n = 35
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