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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 731 · 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.Solve for x: 7(x + 8) = x + 170. What is x?
  2. 2.12 × ? − 6 = 150
  3. 3.I think of a number, multiply it by 3 and then add 14. The answer is 74. What is my number?
  4. 4.Solve for x: 3(x + 1) = 2x + 19. What is x?
  5. 5.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 6(x + 1) = 3x + 12. What is x?
  7. 7.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹261 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 3 and then add 6. The answer is 42. What is my number?
  9. 9.Solve for x: 5(x + 3) = x + 87. What is x?
  10. 10.Solve for x: 4(x + 4) = 3x + 28. What is x?
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  13. 13.Solve for x: 5(x + 8) = 3x + 66. What is x?
  14. 14.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
  15. 15.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  16. 16.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 3 and then add 23. The answer is 98. What is my number?
  18. 18.I think of a number, multiply it by 4 and then add 16. The answer is 108. What is my number?
  19. 19.I think of a number, multiply it by 8 and then add 36. The answer is 76. What is my number?
  20. 20.A pen costs ₹8 more than a pencil. 5 pens and 2 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 5 and then take away 2. The answer is 133. What is my number?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 8 and then add 26. The answer is 114. What is my number?
  25. 25.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  26. 26.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 6(x + 1) = 3x + 15. What is x?
  28. 28.Karan has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  29. 29.5 × ? + 26 = 56
  30. 30.Solve for x: 6(x + 1) = 2x + 70. What is x?
  31. 31.9 × ? − 23 = 166
  32. 32.I think of a number, multiply it by 4 and then take away 23. The answer is 57. What is my number?
  33. 33.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 6 and then add 38. The answer is 56. What is my number?
  35. 35.A pen costs ₹3 more than a pencil. 5 pens and 4 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 4. The answer is 48. What is my number?
  37. 37.I think of a number, multiply it by 3 and then take away 20. The answer is 16. What is my number?
  38. 38.I think of a number, multiply it by 4 and then add 33. The answer is 77. What is my number?
  39. 39.Solve for x: 4(x + 6) = x + 48. What is x?
  40. 40.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹226 in all. What does one pencil cost (in ₹)?

Answer key

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

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