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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 684 · 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 add 40. The answer is 94. What is my number?
  2. 2.I think of a number, multiply it by 9 and then take away 2. The answer is 124. What is my number?
  3. 3.Solve for x: 7(x + 5) = 5x + 49. What is x?
  4. 4.I think of a number, multiply it by 3 and then add 15. The answer is 57. What is my number?
  5. 5.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 6(x + 9) = 4x + 84. What is x?
  7. 7.12 × ? − 24 = 276
  8. 8.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 4(x + 1) = x + 28. What is x?
  10. 10.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  11. 11.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  13. 13.10 × ? − 23 = 17
  14. 14.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 5(x + 7) = 3x + 47. What is x?
  16. 16.I think of a number, multiply it by 2 and then add 26. The answer is 56. What is my number?
  17. 17.4 × ? − 22 = 54
  18. 18.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹8 more than a pencil. 6 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  21. 21.2 × ? − 21 = 9
  22. 22.I think of a number, multiply it by 5 and then take away 32. The answer is 3. What is my number?
  23. 23.6 × ? + 9 = 39
  24. 24.I think of a number, multiply it by 4 and then take away 16. The answer is 28. What is my number?
  25. 25.4 × ? − 16 = 16
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  27. 27.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  29. 29.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  30. 30.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 3 and then add 32. The answer is 62. What is my number?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 3 and then add 18. The answer is 93. What is my number?
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 9 and then add 18. The answer is 90. What is my number?
  36. 36.Dev has 27 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  39. 39.7 × ? − 1 = 139
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?

Answer key

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

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