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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 642 · 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.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  2. 2.6 × ? − 17 = 67
  3. 3.I think of a number, multiply it by 4 and then add 13. The answer is 37. What is my number?
  4. 4.2 × ? − 3 = 11
  5. 5.Solve for x: 5(x + 4) = x + 76. What is x?
  6. 6.Solve for x: 8(x + 3) = 2x + 54. What is x?
  7. 7.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  8. 8.2 × ? + 20 = 54
  9. 9.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  12. 12.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  14. 14.10 × ? + 8 = 118
  15. 15.8 × ? − 1 = 183
  16. 16.Solve for x: 7(x + 3) = 4x + 54. What is x?
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  18. 18.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 9(x + 6) = 2x + 138. What is x?
  20. 20.6 × ? − 20 = 70
  21. 21.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 7 and then take away 14. The answer is 182. What is my number?
  23. 23.10 × ? + 13 = 53
  24. 24.I think of a number, multiply it by 9 and then add 12. The answer is 237. What is my number?
  25. 25.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 3(x + 6) = x + 22. What is x?
  27. 27.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  28. 28.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  30. 30.Solve for x: 3(x + 5) = 2x + 19. What is x?
  31. 31.I think of a number, multiply it by 2 and then take away 31. The answer is 3. What is my number?
  32. 32.I think of a number, multiply it by 4 and then take away 33. The answer is 47. What is my number?
  33. 33.I think of a number, multiply it by 7 and then take away 33. The answer is 16. What is my number?
  34. 34.I think of a number, multiply it by 2 and then add 23. The answer is 75. What is my number?
  35. 35.5 × ? + 16 = 66
  36. 36.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  39. 39.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 7(x + 8) = 2x + 141. What is x?

Answer key

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

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