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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 553 · 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 take away 18. The answer is 98. What is my number?
  2. 2.I think of a number, multiply it by 3 and then add 20. The answer is 107. What is my number?
  3. 3.I think of a number, multiply it by 4 and then add 23. The answer is 79. What is my number?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  5. 5.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  6. 6.9 × ? − 2 = 160
  7. 7.Solve for x: 8(x + 2) = 3x + 66. What is x?
  8. 8.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  9. 9.Solve for x: 5(x + 2) = 3x + 14. What is x?
  10. 10.11 × ? − 15 = 194
  11. 11.4 × ? − 7 = 77
  12. 12.I think of a number, multiply it by 4 and then take away 2. The answer is 82. What is my number?
  13. 13.Solve for x: 6(x + 7) = 3x + 96. What is x?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  15. 15.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  17. 17.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  19. 19.Saanvi has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 8(x + 5) = 7x + 45. What is x?
  21. 21.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  24. 24.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 5 and then take away 11. The answer is 59. What is my number?
  26. 26.I think of a number, multiply it by 6 and then take away 11. The answer is 79. What is my number?
  27. 27.I think of a number, multiply it by 7 and then add 40. The answer is 96. What is my number?
  28. 28.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  29. 29.10 × ? − 25 = 35
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  31. 31.Solve for x: 8(x + 9) = 6x + 98. What is x?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  33. 33.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 4(x + 2) = 2x + 46. What is x?
  35. 35.Solve for x: 7(x + 3) = x + 57. What is x?
  36. 36.I think of a number, multiply it by 9 and then add 27. The answer is 216. What is my number?
  37. 37.Karan has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  38. 38.5 × ? − 20 = 85
  39. 39.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  40. 40.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?

Answer key

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

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