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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 163 · 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 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  2. 2.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 5 and then take away 31. The answer is 54. What is my number?
  4. 4.I think of a number, multiply it by 6 and then take away 4. The answer is 140. What is my number?
  5. 5.9 × ? + 13 = 166
  6. 6.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  7. 7.3 × ? + 9 = 18
  8. 8.I think of a number, multiply it by 8 and then add 38. The answer is 166. What is my number?
  9. 9.9 × ? − 23 = 49
  10. 10.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 8 and then take away 27. The answer is 173. What is my number?
  12. 12.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 7 and then take away 40. The answer is 163. What is my number?
  15. 15.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 4(x + 2) = 2x + 40. What is x?
  17. 17.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 7(x + 8) = 2x + 121. What is x?
  19. 19.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  20. 20.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  22. 22.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 7(x + 5) = 3x + 107. What is x?
  26. 26.I think of a number, multiply it by 9 and then add 2. The answer is 38. What is my number?
  27. 27.I think of a number, multiply it by 9 and then add 20. The answer is 146. What is my number?
  28. 28.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 3(x + 3) = 2x + 22. What is x?
  30. 30.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  34. 34.Solve for x: 4(x + 3) = 3x + 32. What is x?
  35. 35.7 × ? + 4 = 25
  36. 36.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  37. 37.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 3 and then add 11. The answer is 62. What is my number?
  40. 40.Solve for x: 9(x + 6) = 8x + 56. What is x?

Answer key

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

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