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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 902 · 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. 1.2 × ? + 15 = 19
  2. 2.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  5. 5.8 × ? − 23 = 145
  6. 6.8 × ? − 19 = 109
  7. 7.Solve for x: 6(x + 1) = 3x + 15. What is x?
  8. 8.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 7 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  10. 10.8 × ? − 2 = 198
  11. 11.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  12. 12.5 × ? − 26 = 34
  13. 13.5 × ? + 11 = 91
  14. 14.I think of a number, multiply it by 3 and then add 9. The answer is 18. What is my number?
  15. 15.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  18. 18.Solve for x: 6(x + 7) = 2x + 74. What is x?
  19. 19.I think of a number, multiply it by 7 and then add 4. The answer is 81. What is my number?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 8 and then take away 10. The answer is 222. What is my number?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  23. 23.7 × ? − 11 = 164
  24. 24.12 × ? + 11 = 287
  25. 25.Solve for x: 7(x + 4) = 5x + 50. What is x?
  26. 26.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  28. 28.8 × ? − 7 = 81
  29. 29.Solve for x: 6(x + 6) = 5x + 54. What is x?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 3 and then take away 1. The answer is 89. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  33. 33.10 × ? + 29 = 239
  34. 34.3 × ? + 17 = 38
  35. 35.7 × ? − 14 = 49
  36. 36.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 3(x + 7) = x + 55. What is x?
  39. 39.I think of a number, multiply it by 3 and then add 30. The answer is 84. What is my number?
  40. 40.12 × ? + 9 = 33

Answer key

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

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