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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 875 · 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 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  4. 4.7 × ? − 5 = 9
  5. 5.I think of a number, multiply it by 5 and then add 32. The answer is 87. What is my number?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 2 and then take away 33. The answer is 1. What is my number?
  8. 8.9 × ? − 9 = 54
  9. 9.8 × ? − 5 = 171
  10. 10.I think of a number, multiply it by 9 and then add 13. The answer is 76. What is my number?
  11. 11.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  12. 12.6 × ? − 13 = 65
  13. 13.Solve for x: 8(x + 3) = 6x + 56. What is x?
  14. 14.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  15. 15.11 × ? + 8 = 129
  16. 16.A pen costs ₹5 more than a pencil. 6 pens and 7 pencils cost ₹238 in all. What does one pencil cost (in ₹)?
  17. 17.12 × ? − 7 = 185
  18. 18.Solve for x: 5(x + 1) = x + 53. What is x?
  19. 19.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  22. 22.Manav has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 4(x + 8) = x + 47. What is x?
  24. 24.Solve for x: 8(x + 3) = 4x + 48. What is x?
  25. 25.Rahul has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 8(x + 5) = 4x + 92. What is x?
  27. 27.Solve for x: 7(x + 4) = 2x + 83. What is x?
  28. 28.I think of a number, multiply it by 6 and then add 11. The answer is 71. What is my number?
  29. 29.I think of a number, multiply it by 6 and then add 32. The answer is 56. What is my number?
  30. 30.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  32. 32.Solve for x: 3(x + 1) = 2x + 4. What is x?
  33. 33.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  34. 34.3 × ? − 16 = 44
  35. 35.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  38. 38.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 7 and then add 13. The answer is 118. What is my number?
  40. 40.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?

Answer key

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

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