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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 599 · 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. 1.4 × ? − 9 = 63
  2. 2.Solve for x: 9(x + 9) = 8x + 98. What is x?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 8 and then take away 38. The answer is 114. What is my number?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  7. 7.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 8 and then take away 39. The answer is 185. What is my number?
  9. 9.2 × ? + 8 = 20
  10. 10.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 5(x + 6) = 4x + 50. What is x?
  12. 12.4 × ? − 17 = 23
  13. 13.I think of a number, multiply it by 2 and then add 15. The answer is 21. What is my number?
  14. 14.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 5 and then take away 30. The answer is 60. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 27. The answer is 33. What is my number?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  18. 18.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 8 and then add 15. The answer is 79. What is my number?
  21. 21.Solve for x: 5(x + 6) = x + 42. What is x?
  22. 22.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 7 and then add 26. The answer is 82. What is my number?
  25. 25.Solve for x: 6(x + 7) = 4x + 82. What is x?
  26. 26.Solve for x: 8(x + 9) = 5x + 75. What is x?
  27. 27.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 7(x + 6) = x + 150. What is x?
  30. 30.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  31. 31.2 × ? + 21 = 49
  32. 32.9 × ? + 9 = 90
  33. 33.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 2 and then take away 36. The answer is 12. What is my number?
  36. 36.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 8(x + 8) = 6x + 104. What is x?
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  39. 39.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  40. 40.8 × ? + 21 = 133

Answer key

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

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