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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 820 · 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.I think of a number, multiply it by 9 and then add 15. The answer is 159. What is my number?
  2. 2.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 6 and then add 14. The answer is 62. What is my number?
  4. 4.I think of a number, multiply it by 2 and then take away 40. The answer is 10. What is my number?
  5. 5.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  6. 6.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 7 and then take away 25. The answer is 150. What is my number?
  9. 9.Solve for x: 5(x + 3) = 2x + 18. What is x?
  10. 10.Solve for x: 4(x + 5) = x + 50. What is x?
  11. 11.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  12. 12.3 × ? − 24 = 3
  13. 13.I think of a number, multiply it by 4 and then take away 2. The answer is 6. What is my number?
  14. 14.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  15. 15.11 × ? − 21 = 122
  16. 16.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 8 and then take away 38. The answer is 130. What is my number?
  18. 18.I think of a number, multiply it by 9 and then take away 22. The answer is 113. What is my number?
  19. 19.I think of a number, multiply it by 6 and then take away 40. The answer is 68. What is my number?
  20. 20.12 × ? − 30 = 270
  21. 21.Solve for x: 8(x + 9) = 6x + 98. What is x?
  22. 22.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 8(x + 7) = 3x + 131. What is x?
  24. 24.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  26. 26.Solve for x: 6(x + 9) = 4x + 90. What is x?
  27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  28. 28.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 6 and then take away 17. The answer is 79. What is my number?
  30. 30.Solve for x: 4(x + 4) = x + 73. What is x?
  31. 31.Solve for x: 3(x + 4) = 2x + 16. What is x?
  32. 32.I think of a number, multiply it by 2 and then add 35. The answer is 59. What is my number?
  33. 33.Ishaan has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  35. 35.2 × ? + 19 = 37
  36. 36.Solve for x: 4(x + 8) = 2x + 52. What is x?
  37. 37.I think of a number, multiply it by 9 and then take away 22. The answer is 77. What is my number?
  38. 38.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  39. 39.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?

Answer key

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

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