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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 979 · 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 6 and then take away 3. The answer is 141. What is my number?
  2. 2.9 × ? + 5 = 68
  3. 3.Tara has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 7(x + 4) = 2x + 128. What is x?
  5. 5.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 7(x + 8) = 3x + 108. What is x?
  7. 7.9 × ? + 10 = 172
  8. 8.I think of a number, multiply it by 9 and then take away 9. The answer is 99. What is my number?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 9 and then add 34. The answer is 232. What is my number?
  11. 11.A pen costs ₹6 more than a pencil. 2 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  12. 12.12 × ? − 21 = 243
  13. 13.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  17. 17.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  19. 19.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  21. 21.8 × ? + 21 = 141
  22. 22.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 6(x + 7) = 3x + 54. What is x?
  24. 24.I think of a number, multiply it by 3 and then add 34. The answer is 79. What is my number?
  25. 25.I think of a number, multiply it by 9 and then take away 14. The answer is 76. What is my number?
  26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  27. 27.5 × ? − 8 = 107
  28. 28.6 × ? + 27 = 171
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 2 and then take away 6. The answer is 48. What is my number?
  31. 31.Solve for x: 7(x + 7) = 3x + 77. What is x?
  32. 32.12 × ? − 17 = 211
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  34. 34.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  35. 35.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  36. 36.3 × ? + 19 = 25
  37. 37.I think of a number, multiply it by 9 and then take away 20. The answer is 16. What is my number?
  38. 38.Solve for x: 7(x + 4) = 5x + 60. What is x?
  39. 39.Solve for x: 4(x + 3) = 3x + 20. What is x?
  40. 40.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹199 in all. What does one pencil cost (in ₹)?

Answer key

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

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