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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 112 · 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: 7(x + 6) = 3x + 62. What is x?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 3 and then add 13. The answer is 46. What is my number?
  4. 4.4 × ? + 15 = 23
  5. 5.I think of a number, multiply it by 6 and then add 11. The answer is 173. What is my number?
  6. 6.Solve for x: 4(x + 8) = 3x + 44. What is x?
  7. 7.12 × ? + 30 = 54
  8. 8.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 4(x + 2) = 3x + 28. What is x?
  10. 10.A pen costs ₹8 more than a pencil. 5 pens and 6 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 4(x + 1) = 2x + 14. What is x?
  12. 12.I think of a number, multiply it by 6 and then take away 35. The answer is 19. What is my number?
  13. 13.Pooja has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  14. 14.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  15. 15.11 × ? + 5 = 247
  16. 16.Ananya has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  18. 18.11 × ? + 25 = 113
  19. 19.Solve for x: 5(x + 9) = 2x + 75. What is x?
  20. 20.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹2 more than a pencil. 3 pens and 5 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 2 and then add 16. The answer is 36. What is my number?
  25. 25.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  27. 27.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 3(x + 5) = 2x + 22. What is x?
  29. 29.5 × ? − 20 = 5
  30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  31. 31.Kavya has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  35. 35.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  36. 36.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 5(x + 5) = 4x + 27. What is x?
  40. 40.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?

Answer key

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

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