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10th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 10th Grade linear equations worksheet.

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations

10th 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.Lucas thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 24. What was the number?

Answer: 15

  1. 2(n − 3) = 24
  2. n − 3 = 12
  3. n = 15
2.Hunter thinks of a number, subtracts 8 and multiplies the result by 4. The answer is 40. What was the number?

Answer: 18

  1. 4(n − 8) = 40
  2. n − 8 = 10
  3. n = 18
3.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
4.Tom thinks of a number, multiplies it by 3 and then adds 3. The answer is 51. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 3n + 3 = 51
  2. 3n = 48
  3. n = 16
5.Aisha thinks of a number, multiplies it by 5 and then adds 15. The answer is 55. Write an equation and find the number.

Answer: 8

  1. Let the number be n: 5n + 15 = 55
  2. 5n = 40
  3. n = 8
6.A rectangle is 10 cm longer than it is wide. Its perimeter is 44 cm. Find its width and length.

Answer: width 6 cm, length 16 cm

  1. 2(w + w + 10) = 44
  2. 4w + 20 = 44
  3. w = 6, so length = 16
7.A rectangle is 4 cm longer than it is wide. Its perimeter is 40 cm. Find its width and length.

Answer: width 8 cm, length 12 cm

  1. 2(w + w + 4) = 40
  2. 4w + 8 = 40
  3. w = 8, so length = 12
8.Ruby thinks of a number, multiplies it by 5 and then adds 2. The answer is 12. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 5n + 2 = 12
  2. 5n = 10
  3. n = 2
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