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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 372 · 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.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 4(x + 9) = 2x + 56. What is x?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  4. 4.7 × ? + 24 = 38
  5. 5.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  6. 6.Meera has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  8. 8.3 × ? + 18 = 63
  9. 9.I think of a number, multiply it by 3 and then take away 3. The answer is 81. What is my number?
  10. 10.12 × ? + 6 = 294
  11. 11.10 × ? + 9 = 179
  12. 12.7 × ? − 21 = 119
  13. 13.5 × ? + 9 = 74
  14. 14.9 × ? − 5 = 58
  15. 15.I think of a number, multiply it by 5 and then take away 20. The answer is 35. What is my number?
  16. 16.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  17. 17.Zoya has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  19. 19.Solve for x: 9(x + 9) = x + 121. What is x?
  20. 20.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  21. 21.7 × ? + 9 = 184
  22. 22.A pen costs ₹14 more than a pencil. 4 pens and 7 pencils cost ₹221 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 8(x + 1) = 2x + 32. What is x?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 4 and then add 25. The answer is 113. What is my number?
  27. 27.I think of a number, multiply it by 9 and then add 35. The answer is 107. What is my number?
  28. 28.5 × ? + 28 = 118
  29. 29.11 × ? + 10 = 252
  30. 30.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  31. 31.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  33. 33.5 × ? − 25 = 30
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  35. 35.6 × ? + 28 = 118
  36. 36.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹256 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 4(x + 8) = 3x + 46. What is x?
  39. 39.Solve for x: 6(x + 2) = x + 47. What is x?
  40. 40.I think of a number, multiply it by 2 and then add 9. The answer is 29. What is my number?

Answer key

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

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