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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 950 · 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: 3(x + 7) = 2x + 27. What is x?
  2. 2.I think of a number, multiply it by 6 and then take away 30. The answer is 132. What is my number?
  3. 3.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 4(x + 2) = 2x + 12. What is x?
  5. 5.Solve for x: 6(x + 3) = 3x + 78. What is x?
  6. 6.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 4 and then add 40. The answer is 56. What is my number?
  9. 9.I think of a number, multiply it by 7 and then take away 15. The answer is 55. What is my number?
  10. 10.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  11. 11.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹282 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  15. 15.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  16. 16.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 6(x + 4) = 4x + 44. What is x?
  18. 18.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  20. 20.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹276 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 9 and then add 1. The answer is 91. What is my number?
  23. 23.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 3(x + 3) = 2x + 25. What is x?
  25. 25.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  26. 26.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  28. 28.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 2 and then add 33. The answer is 43. What is my number?
  30. 30.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 5(x + 8) = 2x + 61. What is x?
  32. 32.8 × ? + 14 = 166
  33. 33.Farhan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  34. 34.7 × ? − 21 = 70
  35. 35.I think of a number, multiply it by 9 and then add 13. The answer is 166. What is my number?
  36. 36.2 × ? − 29 = 13
  37. 37.Solve for x: 5(x + 7) = 4x + 40. What is x?
  38. 38.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 9(x + 3) = x + 155. What is x?
  40. 40.8 × ? + 24 = 104

Answer key

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

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