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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 442 · 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: 6(x + 1) = 3x + 27. What is x?
  2. 2.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  4. 4.Vivaan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 2 and then take away 35. The answer is 7. What is my number?
  6. 6.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  7. 7.8 × ? − 26 = 6
  8. 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  9. 9.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  11. 11.11 × ? − 18 = 114
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  14. 14.9 × ? − 8 = 64
  15. 15.Solve for x: 4(x + 1) = 3x + 14. What is x?
  16. 16.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  17. 17.4 × ? + 8 = 36
  18. 18.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  22. 22.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  24. 24.4 × ? − 28 = 68
  25. 25.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  28. 28.Solve for x: 3(x + 7) = x + 25. What is x?
  29. 29.I think of a number, multiply it by 2 and then take away 6. The answer is 22. What is my number?
  30. 30.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹193 in all. What does one pencil cost (in ₹)?
  32. 32.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  34. 34.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 6 and then take away 40. The answer is 14. What is my number?
  37. 37.Solve for x: 4(x + 6) = x + 30. What is x?
  38. 38.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹8 more than a pencil. 5 pens and 2 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹71 in all. What does one pencil cost (in ₹)?

Answer key

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

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