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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 271 · 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 + 1) = x + 33. What is x?
  2. 2.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  3. 3.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  5. 5.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  6. 6.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  8. 8.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  10. 10.11 × ? − 8 = 91
  11. 11.I think of a number, multiply it by 7 and then take away 20. The answer is 71. What is my number?
  12. 12.10 × ? + 3 = 243
  13. 13.I think of a number, multiply it by 9 and then take away 15. The answer is 129. What is my number?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  15. 15.3 × ? − 30 = 24
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  19. 19.Solve for x: 8(x + 7) = 2x + 158. What is x?
  20. 20.I think of a number, multiply it by 8 and then add 40. The answer is 240. What is my number?
  21. 21.I think of a number, multiply it by 4 and then take away 28. The answer is 20. What is my number?
  22. 22.I think of a number, multiply it by 3 and then add 27. The answer is 102. What is my number?
  23. 23.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  24. 24.Isha has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 6 and then take away 31. The answer is 131. What is my number?
  26. 26.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  27. 27.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  28. 28.10 × ? − 27 = 83
  29. 29.Solve for x: 8(x + 4) = 3x + 62. What is x?
  30. 30.4 × ? + 21 = 117
  31. 31.Solve for x: 5(x + 3) = 4x + 34. What is x?
  32. 32.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  35. 35.Solve for x: 5(x + 2) = 3x + 40. What is x?
  36. 36.10 × ? − 5 = 115
  37. 37.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 5(x + 3) = 4x + 16. What is x?
  39. 39.I think of a number, multiply it by 4 and then add 15. The answer is 131. What is my number?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?

Answer key

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

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