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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 645 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  2. 2.Solve for x: 5(x + 6) = x + 102. What is x?
  3. 3.10 × ? − 23 = 197
  4. 4.3 × ? − 19 = 11
  5. 5.Solve for x: 7(x + 7) = 3x + 73. What is x?
  6. 6.I think of a number, multiply it by 7 and then take away 37. The answer is 61. What is my number?
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 2 and then add 33. The answer is 87. What is my number?
  9. 9.I think of a number, multiply it by 7 and then add 38. The answer is 59. What is my number?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  11. 11.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  12. 12.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 4 and then add 15. The answer is 27. What is my number?
  14. 14.Solve for x: 7(x + 2) = 3x + 78. What is x?
  15. 15.7 × ? − 4 = 164
  16. 16.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  17. 17.10 × ? + 23 = 103
  18. 18.I think of a number, multiply it by 8 and then add 37. The answer is 125. What is my number?
  19. 19.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  21. 21.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  22. 22.5 × ? − 1 = 24
  23. 23.I think of a number, multiply it by 2 and then add 39. The answer is 59. What is my number?
  24. 24.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 7(x + 9) = 6x + 73. What is x?
  26. 26.I think of a number, multiply it by 8 and then add 32. The answer is 192. What is my number?
  27. 27.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  30. 30.Solve for x: 5(x + 6) = 4x + 46. What is x?
  31. 31.I think of a number, multiply it by 5 and then add 5. The answer is 120. What is my number?
  32. 32.10 × ? + 14 = 184
  33. 33.I think of a number, multiply it by 4 and then add 24. The answer is 76. What is my number?
  34. 34.Solve for x: 9(x + 8) = 4x + 77. What is x?
  35. 35.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 3 and then take away 27. The answer is 3. What is my number?
  37. 37.Solve for x: 7(x + 5) = 2x + 95. What is x?
  38. 38.10 × ? + 25 = 75
  39. 39.Nisha has 27 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  40. 40.2 × ? + 1 = 51

Answer key

  1. 11
  2. 18
  3. 22
  4. 10
  5. 6
  6. 14
  7. 18
  8. 27
  9. 3
  10. 23
  11. 2
  12. 7
  13. 3
  14. 16
  15. 24
  16. 10
  17. 8
  18. 11
  19. 4
  20. 10
  21. 9
  22. 5
  23. 10
  24. 2
  25. 10
  26. 20
  27. 14
  28. 29
  29. 7
  30. 16
  31. 23
  32. 17
  33. 13
  34. 1
  35. 10
  36. 10
  37. 12
  38. 5
  39. 9
  40. 25

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