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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 29 · 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 7 and then add 7. The answer is 63. What is my number?
  2. 2.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  3. 3.5 × ? + 19 = 34
  4. 4.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  5. 5.6 × ? + 11 = 77
  6. 6.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 4 and then take away 16. The answer is 84. What is my number?
  8. 8.Solve for x: 4(x + 5) = x + 23. What is x?
  9. 9.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  10. 10.3 × ? − 29 = 19
  11. 11.Solve for x: 8(x + 9) = 2x + 90. What is x?
  12. 12.I think of a number, multiply it by 4 and then take away 34. The answer is 42. What is my number?
  13. 13.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  14. 14.Priya has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  15. 15.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  17. 17.Solve for x: 9(x + 5) = 5x + 121. What is x?
  18. 18.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 3 and then add 7. The answer is 91. What is my number?
  21. 21.I think of a number, multiply it by 5 and then add 38. The answer is 178. What is my number?
  22. 22.3 × ? − 6 = 54
  23. 23.Tara has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  25. 25.8 × ? − 23 = 41
  26. 26.Solve for x: 9(x + 3) = 2x + 160. What is x?
  27. 27.Solve for x: 6(x + 2) = 5x + 28. What is x?
  28. 28.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  29. 29.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 5 and then take away 5. The answer is 10. What is my number?
  32. 32.I think of a number, multiply it by 4 and then add 18. The answer is 114. What is my number?
  33. 33.8 × ? − 24 = 120
  34. 34.Solve for x: 4(x + 1) = 2x + 28. What is x?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 7 and then take away 10. The answer is 116. What is my number?
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 9 and then take away 16. The answer is 218. What is my number?
  39. 39.Solve for x: 7(x + 1) = 5x + 41. What is x?
  40. 40.5 × ? + 28 = 53

Answer key

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

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