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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 103 · 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: 5(x + 6) = 2x + 36. What is x?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  4. 4.Solve for x: 7(x + 7) = x + 67. What is x?
  5. 5.Solve for x: 4(x + 6) = x + 57. What is x?
  6. 6.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  7. 7.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then take away 9. The answer is 24. What is my number?
  9. 9.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  10. 10.Arjun has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  13. 13.5 × ? + 11 = 36
  14. 14.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 6 and then take away 32. The answer is 10. What is my number?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 7 and then add 4. The answer is 186. What is my number?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  21. 21.Solve for x: 7(x + 2) = 5x + 36. What is x?
  22. 22.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  23. 23.Tara has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  24. 24.8 × ? − 18 = 102
  25. 25.Solve for x: 3(x + 2) = 2x + 10. What is x?
  26. 26.Tara has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  28. 28.7 × ? − 1 = 62
  29. 29.Solve for x: 6(x + 8) = 3x + 51. What is x?
  30. 30.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  31. 31.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  34. 34.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  35. 35.3 × ? − 1 = 56
  36. 36.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  38. 38.Solve for x: 9(x + 1) = 2x + 107. What is x?
  39. 39.Solve for x: 8(x + 3) = x + 66. What is x?
  40. 40.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹143 in all. What does one pencil cost (in ₹)?

Answer key

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

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