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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 33 · 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 31. The answer is 65. What is my number?
  2. 2.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 8(x + 5) = 3x + 100. What is x?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  5. 5.Solve for x: 4(x + 5) = x + 29. What is x?
  6. 6.Solve for x: 9(x + 7) = 8x + 74. What is x?
  7. 7.4 × ? − 15 = 21
  8. 8.Solve for x: 3(x + 8) = x + 48. What is x?
  9. 9.I think of a number, multiply it by 5 and then add 4. The answer is 69. What is my number?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  11. 11.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 6 and then add 29. The answer is 59. What is my number?
  13. 13.I think of a number, multiply it by 4 and then take away 29. The answer is 71. What is my number?
  14. 14.Solve for x: 9(x + 2) = 8x + 38. What is x?
  15. 15.3 × ? − 5 = 25
  16. 16.Solve for x: 4(x + 8) = 3x + 35. What is x?
  17. 17.I think of a number, multiply it by 9 and then add 7. The answer is 115. What is my number?
  18. 18.Solve for x: 3(x + 7) = x + 49. What is x?
  19. 19.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 9 and then take away 17. The answer is 28. What is my number?
  21. 21.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  22. 22.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  23. 23.6 × ? + 23 = 167
  24. 24.I think of a number, multiply it by 8 and then add 9. The answer is 137. What is my number?
  25. 25.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  26. 26.4 × ? + 16 = 108
  27. 27.6 × ? + 27 = 111
  28. 28.I think of a number, multiply it by 8 and then add 29. The answer is 109. What is my number?
  29. 29.I think of a number, multiply it by 6 and then take away 15. The answer is 159. What is my number?
  30. 30.I think of a number, multiply it by 6 and then add 12. The answer is 54. What is my number?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  33. 33.Solve for x: 5(x + 4) = 4x + 30. What is x?
  34. 34.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  35. 35.8 × ? − 10 = 86
  36. 36.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 8 and then add 31. The answer is 119. What is my number?
  38. 38.11 × ? − 13 = 75
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 6 and then add 35. The answer is 89. What is my number?

Answer key

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

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