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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 615 · 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: 5(x + 9) = 3x + 49. What is x?
  2. 2.Solve for x: 9(x + 4) = 3x + 114. What is x?
  3. 3.I think of a number, multiply it by 6 and then take away 21. The answer is 33. What is my number?
  4. 4.I think of a number, multiply it by 3 and then add 9. The answer is 24. What is my number?
  5. 5.I think of a number, multiply it by 9 and then take away 34. The answer is 74. What is my number?
  6. 6.I think of a number, multiply it by 5 and then add 16. The answer is 51. What is my number?
  7. 7.Solve for x: 8(x + 5) = x + 96. What is x?
  8. 8.10 × ? + 28 = 218
  9. 9.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  11. 11.Solve for x: 3(x + 5) = 2x + 23. What is x?
  12. 12.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 8(x + 9) = 7x + 89. What is x?
  15. 15.I think of a number, multiply it by 5 and then add 38. The answer is 78. What is my number?
  16. 16.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 4(x + 8) = 2x + 58. What is x?
  18. 18.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  19. 19.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  22. 22.2 × ? + 5 = 13
  23. 23.4 × ? − 17 = 83
  24. 24.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  26. 26.Solve for x: 9(x + 3) = 7x + 65. What is x?
  27. 27.I think of a number, multiply it by 2 and then take away 2. The answer is 18. What is my number?
  28. 28.I think of a number, multiply it by 6 and then take away 1. The answer is 179. What is my number?
  29. 29.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 8 and then add 22. The answer is 38. What is my number?
  31. 31.I think of a number, multiply it by 4 and then add 13. The answer is 85. What is my number?
  32. 32.2 × ? + 2 = 48
  33. 33.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  35. 35.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  37. 37.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 4 and then take away 19. The answer is 5. What is my number?
  39. 39.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 5(x + 2) = 3x + 18. What is x?

Answer key

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

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