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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 997 · 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.I think of a number, multiply it by 8 and then add 26. The answer is 146. What is my number?
  2. 2.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  3. 3.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  4. 4.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 4 and then take away 30. The answer is 78. What is my number?
  6. 6.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 4(x + 9) = 3x + 46. What is x?
  8. 8.4 × ? − 14 = 18
  9. 9.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 9(x + 3) = 7x + 53. What is x?
  12. 12.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 4 and then add 11. The answer is 27. What is my number?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  15. 15.2 × ? + 30 = 40
  16. 16.4 × ? − 30 = 62
  17. 17.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 8(x + 9) = 7x + 82. What is x?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  20. 20.Solve for x: 5(x + 2) = 2x + 22. What is x?
  21. 21.2 × ? + 6 = 36
  22. 22.I think of a number, multiply it by 5 and then add 11. The answer is 111. What is my number?
  23. 23.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  26. 26.3 × ? + 9 = 84
  27. 27.I think of a number, multiply it by 4 and then add 16. The answer is 132. What is my number?
  28. 28.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  30. 30.8 × ? − 19 = 61
  31. 31.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 9 and then add 11. The answer is 56. What is my number?
  34. 34.3 × ? − 30 = 6
  35. 35.Solve for x: 5(x + 7) = 4x + 41. What is x?
  36. 36.Solve for x: 6(x + 7) = 2x + 98. What is x?
  37. 37.Zoya has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  38. 38.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  39. 39.3 × ? − 22 = 17
  40. 40.Solve for x: 8(x + 7) = x + 133. What is x?

Answer key

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

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