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10th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 3 — 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 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.Leo thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 70. What was the number?

Answer: 17

  1. 5(n − 3) = 70
  2. n − 3 = 14
  3. n = 17
2.The sum of 4 consecutive whole numbers is 202. Find the numbers.

Answer: 49, 50, 51, 52

  1. n + (n + 1) + (n + 2) + (n + 3) = 202
  2. 4n + 6 = 202
  3. n = 49
3.Harper thinks of a number, multiplies it by 5 and then adds 7. The answer is 87. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 5n + 7 = 87
  2. 5n = 80
  3. n = 16
4.A rectangle is 8 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.

Answer: width 13 cm, length 21 cm

  1. 2(w + w + 8) = 68
  2. 4w + 16 = 68
  3. w = 13, so length = 21
5.Zoe thinks of a number, subtracts 9 and multiplies the result by 4. The answer is 44. What was the number?

Answer: 20

  1. 4(n − 9) = 44
  2. n − 9 = 11
  3. n = 20
6.Max thinks of a number, multiplies it by 6 and then adds 11. The answer is 53. Write an equation and find the number.

Answer: 7

  1. Let the number be n: 6n + 11 = 53
  2. 6n = 42
  3. n = 7
7.The sum of 4 consecutive whole numbers is 34. Find the numbers.

Answer: 7, 8, 9, 10

  1. n + (n + 1) + (n + 2) + (n + 3) = 34
  2. 4n + 6 = 34
  3. n = 7
8.Mia thinks of a number, multiplies it by 4 and then adds 9. The answer is 53. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 4n + 9 = 53
  2. 4n = 44
  3. n = 11
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