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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 951 · 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.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 4 and then add 8. The answer is 112. What is my number?
  3. 3.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  4. 4.3 × ? + 17 = 65
  5. 5.6 × ? − 17 = 13
  6. 6.Solve for x: 6(x + 6) = x + 126. What is x?
  7. 7.6 × ? − 10 = 32
  8. 8.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹247 in all. What does one pencil cost (in ₹)?
  9. 9.4 × ? − 13 = 47
  10. 10.Solve for x: 8(x + 8) = 2x + 184. What is x?
  11. 11.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 8(x + 1) = 3x + 38. What is x?
  13. 13.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 8 and then add 32. The answer is 144. What is my number?
  15. 15.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 7(x + 9) = 6x + 64. What is x?
  18. 18.Solve for x: 9(x + 8) = 6x + 123. What is x?
  19. 19.Solve for x: 6(x + 4) = 3x + 66. What is x?
  20. 20.10 × ? − 4 = 96
  21. 21.2 × ? + 5 = 11
  22. 22.10 × ? − 13 = 47
  23. 23.Karan has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 4 and then take away 32. The answer is 48. What is my number?
  25. 25.Dev has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 6(x + 3) = 2x + 90. What is x?
  28. 28.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 3 and then add 28. The answer is 76. What is my number?
  30. 30.Isha has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  31. 31.6 × ? − 25 = 5
  32. 32.I think of a number, multiply it by 2 and then add 12. The answer is 62. What is my number?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  34. 34.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 5(x + 5) = 2x + 46. What is x?
  36. 36.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  37. 37.4 × ? − 12 = 88
  38. 38.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  39. 39.Sneha has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 6(x + 4) = x + 64. What is x?

Answer key

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

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