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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 500 · 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.I think of a number, multiply it by 4 and then take away 20. The answer is 100. What is my number?
  2. 2.6 × ? + 20 = 44
  3. 3.Solve for x: 3(x + 3) = x + 17. What is x?
  4. 4.I think of a number, multiply it by 4 and then add 20. The answer is 128. What is my number?
  5. 5.10 × ? − 11 = 149
  6. 6.I think of a number, multiply it by 6 and then add 9. The answer is 183. What is my number?
  7. 7.Solve for x: 7(x + 7) = 5x + 63. What is x?
  8. 8.Solve for x: 9(x + 4) = 5x + 48. What is x?
  9. 9.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  10. 10.10 × ? − 1 = 239
  11. 11.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 5(x + 4) = 2x + 29. What is x?
  13. 13.Solve for x: 5(x + 6) = x + 102. What is x?
  14. 14.Solve for x: 6(x + 1) = 4x + 46. What is x?
  15. 15.I think of a number, multiply it by 8 and then take away 13. The answer is 43. What is my number?
  16. 16.Solve for x: 4(x + 8) = 2x + 62. What is x?
  17. 17.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 8 and then take away 36. The answer is 76. What is my number?
  21. 21.I think of a number, multiply it by 3 and then take away 12. The answer is 24. What is my number?
  22. 22.2 × ? − 3 = 3
  23. 23.Aditya has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  26. 26.Solve for x: 3(x + 2) = x + 38. What is x?
  27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  28. 28.6 × ? − 7 = 11
  29. 29.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  31. 31.2 × ? − 22 = 10
  32. 32.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 7 and then add 2. The answer is 58. What is my number?
  34. 34.Solve for x: 4(x + 6) = 2x + 30. What is x?
  35. 35.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  38. 38.7 × ? − 15 = 55
  39. 39.Solve for x: 8(x + 1) = 4x + 48. What is x?
  40. 40.Solve for x: 5(x + 6) = 2x + 69. What is x?

Answer key

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

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