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7th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 3 — 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 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.A rectangle is 2 cm longer than it is wide. Its perimeter is 20 cm. Find its width and length.

Answer: width 4 cm, length 6 cm

  1. 2(w + w + 2) = 20
  2. 4w + 4 = 20
  3. w = 4, so length = 6
2.Lucas thinks of a number, subtracts 10 and multiplies the result by 4. The answer is 4. What was the number?

Answer: 11

  1. 4(n − 10) = 4
  2. n − 10 = 1
  3. n = 11
3.A rectangle is 8 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.

Answer: width 4 cm, length 12 cm

  1. 2(w + w + 8) = 32
  2. 4w + 16 = 32
  3. w = 4, so length = 12
4.A rectangle is 9 cm longer than it is wide. Its perimeter is 78 cm. Find its width and length.

Answer: width 15 cm, length 24 cm

  1. 2(w + w + 9) = 78
  2. 4w + 18 = 78
  3. w = 15, so length = 24
5.The sum of 2 consecutive whole numbers is 39. Find the numbers.

Answer: 19, 20

  1. n + (n + 1) = 39
  2. 2n + 1 = 39
  3. n = 19
6.A rectangle is 8 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.

Answer: width 9 cm, length 17 cm

  1. 2(w + w + 8) = 52
  2. 4w + 16 = 52
  3. w = 9, so length = 17
7.Hunter thinks of a number, subtracts 12 and multiplies the result by 4. The answer is 40. What was the number?

Answer: 22

  1. 4(n − 12) = 40
  2. n − 12 = 10
  3. n = 22
8.The sum of 3 consecutive whole numbers is 123. Find the numbers.

Answer: 40, 41, 42

  1. n + (n + 1) + (n + 2) = 123
  2. 3n + 3 = 123
  3. n = 40
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