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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 848 · 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.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  4. 4.9 × ? + 26 = 206
  5. 5.Solve for x: 7(x + 3) = 2x + 46. What is x?
  6. 6.Solve for x: 4(x + 9) = x + 84. What is x?
  7. 7.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  8. 8.3 × ? − 16 = 2
  9. 9.5 × ? − 8 = 82
  10. 10.A pen costs ₹8 more than a pencil. 4 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  11. 11.11 × ? − 24 = 240
  12. 12.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  13. 13.8 × ? − 19 = 21
  14. 14.Vivaan has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 4 and then add 29. The answer is 97. What is my number?
  16. 16.6 × ? − 4 = 98
  17. 17.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  18. 18.Kavya has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  20. 20.Solve for x: 3(x + 3) = x + 27. What is x?
  21. 21.I think of a number, multiply it by 6 and then take away 9. The answer is 129. What is my number?
  22. 22.Solve for x: 5(x + 8) = 3x + 70. What is x?
  23. 23.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹233 in all. What does one pencil cost (in ₹)?
  24. 24.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  25. 25.10 × ? − 12 = 8
  26. 26.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹251 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 8 and then add 28. The answer is 204. What is my number?
  28. 28.2 × ? + 20 = 24
  29. 29.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 5(x + 4) = x + 28. What is x?
  31. 31.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  32. 32.2 × ? + 19 = 33
  33. 33.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 8(x + 4) = 7x + 46. What is x?
  35. 35.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 13. The answer is 65. What is my number?
  37. 37.I think of a number, multiply it by 3 and then take away 30. The answer is 48. What is my number?
  38. 38.Solve for x: 4(x + 5) = x + 23. What is x?
  39. 39.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  40. 40.6 × ? + 25 = 139

Answer key

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

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