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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 197 · 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 5 and then add 4. The answer is 24. What is my number?
  2. 2.11 × ? − 7 = 224
  3. 3.9 × ? + 14 = 59
  4. 4.Solve for x: 5(x + 6) = 4x + 47. What is x?
  5. 5.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  7. 7.3 × ? + 14 = 23
  8. 8.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  11. 11.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 8 and then take away 39. The answer is 113. What is my number?
  13. 13.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 3 and then take away 3. The answer is 27. What is my number?
  15. 15.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  16. 16.5 × ? + 15 = 25
  17. 17.7 × ? + 19 = 40
  18. 18.I think of a number, multiply it by 9 and then add 26. The answer is 161. What is my number?
  19. 19.I think of a number, multiply it by 7 and then take away 3. The answer is 74. What is my number?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  21. 21.Solve for x: 6(x + 9) = 4x + 78. What is x?
  22. 22.A pen costs ₹5 more than a pencil. 5 pens and 8 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  23. 23.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 3) = 3x + 51. What is x?
  26. 26.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  28. 28.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 8 and then take away 32. The answer is 184. What is my number?
  30. 30.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  31. 31.5 × ? + 24 = 94
  32. 32.I think of a number, multiply it by 2 and then add 20. The answer is 48. What is my number?
  33. 33.Solve for x: 3(x + 3) = 2x + 14. What is x?
  34. 34.I think of a number, multiply it by 9 and then add 20. The answer is 65. What is my number?
  35. 35.6 × ? − 3 = 75
  36. 36.I think of a number, multiply it by 9 and then add 35. The answer is 296. What is my number?
  37. 37.Solve for x: 7(x + 2) = 5x + 16. What is x?
  38. 38.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 9 and then add 10. The answer is 37. What is my number?
  40. 40.Solve for x: 3(x + 8) = 2x + 38. What is x?

Answer key

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

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