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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 539 · 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 8 and then take away 34. The answer is 94. What is my number?
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  3. 3.Solve for x: 3(x + 3) = x + 11. What is x?
  4. 4.I think of a number, multiply it by 2 and then take away 10. The answer is 16. What is my number?
  5. 5.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  6. 6.10 × ? + 21 = 101
  7. 7.I think of a number, multiply it by 3 and then add 3. The answer is 66. What is my number?
  8. 8.8 × ? + 20 = 60
  9. 9.I think of a number, multiply it by 2 and then add 25. The answer is 49. What is my number?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  11. 11.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 7(x + 5) = 6x + 54. What is x?
  13. 13.Solve for x: 9(x + 3) = 3x + 33. What is x?
  14. 14.Solve for x: 7(x + 3) = x + 69. What is x?
  15. 15.Solve for x: 6(x + 8) = x + 133. What is x?
  16. 16.Solve for x: 8(x + 2) = 7x + 31. What is x?
  17. 17.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  18. 18.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  22. 22.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  23. 23.11 × ? + 30 = 173
  24. 24.Solve for x: 4(x + 7) = x + 88. What is x?
  25. 25.Solve for x: 3(x + 2) = 2x + 21. What is x?
  26. 26.I think of a number, multiply it by 6 and then add 15. The answer is 153. What is my number?
  27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 4 and then add 9. The answer is 21. What is my number?
  29. 29.Solve for x: 4(x + 3) = 2x + 24. What is x?
  30. 30.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  33. 33.2 × ? − 6 = 16
  34. 34.11 × ? + 26 = 158
  35. 35.Solve for x: 8(x + 1) = x + 71. What is x?
  36. 36.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  37. 37.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 3(x + 3) = 2x + 14. What is x?
  39. 39.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?

Answer key

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

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