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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 8 · 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 104 m. What is its breadth (in m)?
  2. 2.Pooja has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 3(x + 9) = x + 39. What is x?
  5. 5.8 × ? + 27 = 147
  6. 6.I think of a number, multiply it by 2 and then add 29. The answer is 85. What is my number?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  8. 8.Solve for x: 4(x + 6) = 3x + 42. What is x?
  9. 9.Priya has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  10. 10.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  11. 11.6 × ? + 29 = 179
  12. 12.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  13. 13.4 × ? + 17 = 29
  14. 14.Solve for x: 6(x + 9) = 5x + 62. What is x?
  15. 15.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹211 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 4 and then add 35. The answer is 119. What is my number?
  17. 17.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 3 and then add 3. The answer is 27. What is my number?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  21. 21.Solve for x: 3(x + 6) = 2x + 19. What is x?
  22. 22.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  23. 23.7 × ? + 24 = 80
  24. 24.4 × ? + 2 = 62
  25. 25.9 × ? − 5 = 157
  26. 26.I think of a number, multiply it by 3 and then add 20. The answer is 98. What is my number?
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  28. 28.Solve for x: 5(x + 9) = x + 89. What is x?
  29. 29.3 × ? + 15 = 84
  30. 30.Solve for x: 3(x + 4) = x + 52. What is x?
  31. 31.Zoya has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  32. 32.2 × ? − 28 = 18
  33. 33.Solve for x: 9(x + 2) = 8x + 30. What is x?
  34. 34.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 6(x + 6) = 3x + 75. What is x?
  36. 36.Solve for x: 6(x + 7) = 2x + 86. What is x?
  37. 37.I think of a number, multiply it by 3 and then add 32. The answer is 59. What is my number?
  38. 38.I think of a number, multiply it by 8 and then add 14. The answer is 158. What is my number?
  39. 39.7 × ? + 7 = 70
  40. 40.2 × ? − 14 = 24

Answer key

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

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