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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 629 · 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.Solve for x: 7(x + 2) = 5x + 42. What is x?
  2. 2.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 9(x + 7) = 4x + 108. What is x?
  4. 4.2 × ? − 21 = 15
  5. 5.I think of a number, multiply it by 8 and then add 22. The answer is 134. What is my number?
  6. 6.Kavya has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 3 and then add 24. The answer is 96. What is my number?
  8. 8.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹229 in all. What does one pencil cost (in ₹)?
  9. 9.Priya has 27 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 5(x + 3) = 3x + 21. What is x?
  11. 11.I think of a number, multiply it by 9 and then take away 11. The answer is 133. What is my number?
  12. 12.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  13. 13.9 × ? − 11 = 106
  14. 14.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  15. 15.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 6 and then take away 6. The answer is 90. What is my number?
  18. 18.Solve for x: 7(x + 3) = 2x + 56. What is x?
  19. 19.Solve for x: 5(x + 7) = 2x + 71. What is x?
  20. 20.Solve for x: 4(x + 1) = 3x + 11. What is x?
  21. 21.I think of a number, multiply it by 5 and then add 4. The answer is 134. What is my number?
  22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 6 and then take away 34. The answer is 110. What is my number?
  24. 24.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 2 and then add 9. The answer is 63. What is my number?
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  27. 27.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  29. 29.Saanvi has 26 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 3 and then take away 16. The answer is 29. What is my number?
  31. 31.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 9(x + 5) = 8x + 50. What is x?
  33. 33.3 × ? + 27 = 33
  34. 34.Solve for x: 3(x + 8) = 2x + 27. What is x?
  35. 35.Solve for x: 4(x + 5) = x + 47. What is x?
  36. 36.7 × ? − 12 = 100
  37. 37.Farhan has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹271 in all. What does one pencil cost (in ₹)?
  39. 39.2 × ? + 1 = 11
  40. 40.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹113 in all. What does one pencil cost (in ₹)?

Answer key

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

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