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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 252 · 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 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  2. 2.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  4. 4.6 × ? + 30 = 144
  5. 5.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 7 and then take away 6. The answer is 155. What is my number?
  7. 7.6 × ? − 10 = 56
  8. 8.Solve for x: 3(x + 7) = x + 25. What is x?
  9. 9.4 × ? − 18 = 78
  10. 10.3 × ? − 8 = 13
  11. 11.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹211 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 2 and then add 11. The answer is 65. What is my number?
  13. 13.7 × ? − 17 = 151
  14. 14.Solve for x: 8(x + 3) = 2x + 120. What is x?
  15. 15.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  16. 16.8 × ? + 19 = 83
  17. 17.I think of a number, multiply it by 8 and then add 20. The answer is 44. What is my number?
  18. 18.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  20. 20.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 4(x + 7) = 3x + 41. What is x?
  23. 23.I think of a number, multiply it by 2 and then add 37. The answer is 67. What is my number?
  24. 24.2 × ? + 19 = 45
  25. 25.2 × ? + 29 = 35
  26. 26.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  27. 27.3 × ? + 19 = 34
  28. 28.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  29. 29.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 5 and then take away 36. The answer is 29. What is my number?
  31. 31.Solve for x: 4(x + 8) = x + 47. What is x?
  32. 32.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 5(x + 3) = x + 23. What is x?
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  37. 37.Solve for x: 3(x + 1) = 2x + 15. What is x?
  38. 38.I think of a number, multiply it by 8 and then add 9. The answer is 177. What is my number?
  39. 39.I think of a number, multiply it by 6 and then add 34. The answer is 58. What is my number?
  40. 40.Solve for x: 7(x + 8) = 6x + 58. What is x?

Answer key

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

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