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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 587 · 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. 1.7 × ? + 17 = 87
  2. 2.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹299 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 5(x + 2) = 2x + 22. What is x?
  4. 4.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 3(x + 3) = 2x + 20. What is x?
  6. 6.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 3(x + 7) = 2x + 41. What is x?
  8. 8.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 9 and then add 2. The answer is 38. What is my number?
  10. 10.Solve for x: 6(x + 1) = 2x + 62. What is x?
  11. 11.Priya has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 4 and then add 5. The answer is 77. What is my number?
  13. 13.I think of a number, multiply it by 7 and then take away 37. The answer is 159. What is my number?
  14. 14.I think of a number, multiply it by 8 and then take away 36. The answer is 172. What is my number?
  15. 15.11 × ? − 27 = 17
  16. 16.Rahul has 29 coins, all ₹5 and ₹2 coins, worth ₹142 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 4 and then take away 14. The answer is 62. What is my number?
  20. 20.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  21. 21.3 × ? + 1 = 70
  22. 22.Saanvi has 27 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  23. 23.Isha has 26 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹8 more than a pencil. 6 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 6 and then add 5. The answer is 161. What is my number?
  26. 26.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 6(x + 9) = x + 74. What is x?
  28. 28.Solve for x: 5(x + 4) = 3x + 24. What is x?
  29. 29.I think of a number, multiply it by 8 and then add 8. The answer is 120. What is my number?
  30. 30.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 5 and then add 38. The answer is 83. What is my number?
  32. 32.I think of a number, multiply it by 2 and then take away 4. The answer is 40. What is my number?
  33. 33.Solve for x: 5(x + 1) = 3x + 39. What is x?
  34. 34.Sneha has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  35. 35.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 8 and then add 23. The answer is 87. What is my number?
  37. 37.6 × ? + 4 = 40
  38. 38.I think of a number, multiply it by 7 and then add 3. The answer is 192. What is my number?
  39. 39.10 × ? + 7 = 57
  40. 40.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?

Answer key

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

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