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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 430 · 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: 8(x + 3) = 6x + 30. What is x?
  2. 2.11 × ? − 2 = 108
  3. 3.I think of a number, multiply it by 5 and then add 10. The answer is 20. What is my number?
  4. 4.I think of a number, multiply it by 6 and then add 21. The answer is 81. What is my number?
  5. 5.Solve for x: 4(x + 8) = 2x + 52. What is x?
  6. 6.Solve for x: 9(x + 3) = 3x + 51. What is x?
  7. 7.3 × ? − 13 = 53
  8. 8.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  9. 9.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 3 and then add 17. The answer is 107. What is my number?
  11. 11.9 × ? + 18 = 126
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  13. 13.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  14. 14.6 × ? − 17 = 109
  15. 15.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  16. 16.11 × ? − 20 = 13
  17. 17.5 × ? − 22 = 38
  18. 18.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  20. 20.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 3 and then add 39. The answer is 72. What is my number?
  22. 22.7 × ? + 7 = 161
  23. 23.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  24. 24.8 × ? − 10 = 134
  25. 25.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  26. 26.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  27. 27.12 × ? + 15 = 147
  28. 28.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 7 and then take away 10. The answer is 74. What is my number?
  30. 30.I think of a number, multiply it by 2 and then add 9. The answer is 15. What is my number?
  31. 31.Solve for x: 5(x + 2) = 4x + 29. What is x?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  33. 33.11 × ? + 6 = 28
  34. 34.I think of a number, multiply it by 2 and then take away 19. The answer is 25. What is my number?
  35. 35.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  36. 36.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 8(x + 2) = 7x + 29. What is x?
  38. 38.Solve for x: 3(x + 9) = 2x + 45. What is x?
  39. 39.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹139 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 8 and then add 2. The answer is 186. What is my number?

Answer key

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

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