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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 882 · 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 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  2. 2.3 × ? + 4 = 67
  3. 3.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 3 and then take away 11. The answer is 49. What is my number?
  6. 6.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  7. 7.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  10. 10.6 × ? + 28 = 88
  11. 11.Solve for x: 3(x + 8) = 2x + 38. What is x?
  12. 12.I think of a number, multiply it by 6 and then take away 38. The answer is 58. What is my number?
  13. 13.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 3(x + 5) = 2x + 28. What is x?
  15. 15.I think of a number, multiply it by 7 and then add 28. The answer is 70. What is my number?
  16. 16.I think of a number, multiply it by 9 and then add 22. The answer is 265. What is my number?
  17. 17.Solve for x: 4(x + 1) = x + 25. What is x?
  18. 18.A pen costs ₹7 more than a pencil. 6 pens and 7 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  19. 19.9 × ? − 16 = 209
  20. 20.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  21. 21.3 × ? + 2 = 14
  22. 22.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 4(x + 1) = x + 34. What is x?
  24. 24.Solve for x: 9(x + 9) = 8x + 87. What is x?
  25. 25.Farhan has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 4 and then add 39. The answer is 75. What is my number?
  27. 27.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  29. 29.Nisha has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 8(x + 8) = x + 162. What is x?
  31. 31.Ishaan has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  33. 33.3 × ? − 6 = 15
  34. 34.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 4(x + 5) = x + 32. What is x?
  36. 36.Solve for x: 3(x + 3) = 2x + 15. What is x?
  37. 37.I think of a number, multiply it by 3 and then add 6. The answer is 42. What is my number?
  38. 38.Solve for x: 9(x + 5) = x + 173. What is x?
  39. 39.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  40. 40.8 × ? + 30 = 134

Answer key

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

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