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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 913 · 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 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  2. 2.11 × ? − 26 = 183
  3. 3.Solve for x: 5(x + 7) = 4x + 48. What is x?
  4. 4.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then add 9. The answer is 54. What is my number?
  6. 6.Solve for x: 9(x + 2) = 5x + 26. What is x?
  7. 7.Solve for x: 6(x + 7) = 4x + 46. What is x?
  8. 8.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 3(x + 1) = x + 41. What is x?
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  12. 12.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 2 and then take away 2. The answer is 54. What is my number?
  16. 16.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  17. 17.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 7(x + 7) = 4x + 52. What is x?
  19. 19.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹132 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 106 m. What is its breadth (in m)?
  21. 21.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 5(x + 6) = 2x + 42. What is x?
  24. 24.I think of a number, multiply it by 3 and then add 23. The answer is 44. What is my number?
  25. 25.7 × ? + 14 = 28
  26. 26.A pen costs ₹5 more than a pencil. 6 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  28. 28.6 × ? + 6 = 36
  29. 29.6 × ? − 1 = 125
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  31. 31.Aditya has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 3 and then take away 7. The answer is 68. What is my number?
  33. 33.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  35. 35.11 × ? − 23 = 21
  36. 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 3 and then add 30. The answer is 81. What is my number?
  38. 38.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  39. 39.Sneha has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 6 and then add 30. The answer is 90. What is my number?

Answer key

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

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