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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 633 · 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 4 and then add 29. The answer is 65. What is my number?
  2. 2.I think of a number, multiply it by 7 and then add 27. The answer is 90. What is my number?
  3. 3.Priya has 22 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  4. 4.7 × ? − 7 = 28
  5. 5.I think of a number, multiply it by 5 and then add 11. The answer is 121. What is my number?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 9 and then add 22. The answer is 256. What is my number?
  8. 8.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  9. 9.Kavya has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 6(x + 3) = 5x + 19. What is x?
  11. 11.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 7 and then take away 2. The answer is 145. What is my number?
  13. 13.5 × ? − 20 = 100
  14. 14.11 × ? + 4 = 202
  15. 15.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  16. 16.Solve for x: 8(x + 4) = x + 81. What is x?
  17. 17.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 4(x + 2) = 3x + 28. What is x?
  19. 19.I think of a number, multiply it by 3 and then add 2. The answer is 71. What is my number?
  20. 20.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  21. 21.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  22. 22.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  24. 24.9 × ? + 3 = 66
  25. 25.I think of a number, multiply it by 6 and then add 33. The answer is 177. What is my number?
  26. 26.I think of a number, multiply it by 4 and then add 4. The answer is 80. What is my number?
  27. 27.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  29. 29.Manav has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹288 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  32. 32.Solve for x: 5(x + 2) = x + 42. What is x?
  33. 33.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 9(x + 8) = 8x + 87. What is x?
  37. 37.I think of a number, multiply it by 2 and then add 27. The answer is 77. What is my number?
  38. 38.I think of a number, multiply it by 2 and then add 3. The answer is 53. What is my number?
  39. 39.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 5(x + 7) = 4x + 36. What is x?

Answer key

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

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