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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 118 · 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: 4(x + 6) = 2x + 38. What is x?
  2. 2.11 × ? − 12 = 109
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  4. 4.3 × ? − 1 = 23
  5. 5.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹147 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  7. 7.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 7 and then add 33. The answer is 96. What is my number?
  9. 9.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 8 and then add 27. The answer is 211. What is my number?
  11. 11.I think of a number, multiply it by 7 and then add 9. The answer is 205. What is my number?
  12. 12.Solve for x: 5(x + 7) = 3x + 53. What is x?
  13. 13.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  16. 16.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 2 and then add 30. The answer is 64. What is my number?
  18. 18.4 × ? − 3 = 73
  19. 19.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  21. 21.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 7 and then add 24. The answer is 213. What is my number?
  23. 23.A pen costs ₹15 more than a pencil. 2 pens and 7 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  25. 25.12 × ? + 2 = 86
  26. 26.Solve for x: 6(x + 4) = x + 124. What is x?
  27. 27.Solve for x: 4(x + 8) = x + 68. What is x?
  28. 28.3 × ? − 24 = 36
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  30. 30.Solve for x: 8(x + 7) = x + 147. What is x?
  31. 31.I think of a number, multiply it by 6 and then take away 36. The answer is 90. What is my number?
  32. 32.11 × ? − 16 = 160
  33. 33.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 6 and then take away 31. The answer is 77. What is my number?
  35. 35.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  38. 38.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 9 and then add 4. The answer is 139. What is my number?

Answer key

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

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