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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 738 · 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 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  2. 2.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 3(x + 8) = 2x + 34. What is x?
  4. 4.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  6. 6.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  8. 8.10 × ? − 10 = 20
  9. 9.Solve for x: 4(x + 2) = 2x + 12. What is x?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  11. 11.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  12. 12.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 6 and then take away 27. The answer is 3. What is my number?
  14. 14.I think of a number, multiply it by 9 and then take away 18. The answer is 9. What is my number?
  15. 15.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  17. 17.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 7(x + 1) = 3x + 83. What is x?
  19. 19.4 × ? + 3 = 87
  20. 20.3 × ? − 1 = 59
  21. 21.11 × ? + 16 = 225
  22. 22.6 × ? + 14 = 116
  23. 23.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  24. 24.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  25. 25.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  26. 26.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 3 and then add 11. The answer is 71. What is my number?
  28. 28.Solve for x: 4(x + 3) = 3x + 32. What is x?
  29. 29.I think of a number, multiply it by 2 and then take away 15. The answer is 43. What is my number?
  30. 30.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  31. 31.Nisha has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  32. 32.8 × ? − 11 = 53
  33. 33.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  35. 35.12 × ? − 3 = 237
  36. 36.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 4(x + 8) = 3x + 40. What is x?
  39. 39.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  40. 40.10 × ? − 25 = 145

Answer key

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

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