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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 899 · 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 + 1) = x + 43. What is x?
  2. 2.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹249 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 8 and then take away 32. The answer is 88. What is my number?
  5. 5.2 × ? + 25 = 35
  6. 6.I think of a number, multiply it by 2 and then add 3. The answer is 7. What is my number?
  7. 7.Solve for x: 8(x + 7) = 5x + 71. What is x?
  8. 8.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  9. 9.2 × ? − 28 = 22
  10. 10.I think of a number, multiply it by 9 and then take away 10. The answer is 44. What is my number?
  11. 11.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  12. 12.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 6 and then take away 4. The answer is 20. What is my number?
  14. 14.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 2 and then take away 22. The answer is 12. What is my number?
  16. 16.Solve for x: 5(x + 9) = 3x + 65. What is x?
  17. 17.I think of a number, multiply it by 2 and then add 20. The answer is 32. What is my number?
  18. 18.I think of a number, multiply it by 3 and then add 21. The answer is 51. What is my number?
  19. 19.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 9 and then take away 1. The answer is 197. What is my number?
  22. 22.12 × ? + 11 = 107
  23. 23.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 9 and then take away 25. The answer is 236. What is my number?
  25. 25.I think of a number, multiply it by 9 and then take away 16. The answer is 182. What is my number?
  26. 26.I think of a number, multiply it by 2 and then add 38. The answer is 80. What is my number?
  27. 27.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  28. 28.2 × ? − 4 = 2
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  30. 30.7 × ? − 22 = 118
  31. 31.Aditya has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 6 and then add 32. The answer is 50. What is my number?
  33. 33.8 × ? − 7 = 105
  34. 34.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 8 and then add 30. The answer is 70. What is my number?
  36. 36.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  38. 38.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  40. 40.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹169 in all. What does one pencil cost (in ₹)?

Answer key

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

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