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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 203 · 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.Vivaan has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 8(x + 6) = 2x + 168. What is x?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 8 and then add 2. The answer is 50. What is my number?
  5. 5.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 3(x + 9) = 2x + 47. What is x?
  8. 8.Solve for x: 3(x + 2) = x + 42. What is x?
  9. 9.7 × ? + 9 = 163
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  11. 11.9 × ? + 16 = 196
  12. 12.Solve for x: 6(x + 5) = 3x + 33. What is x?
  13. 13.2 × ? − 28 = 20
  14. 14.Aditya has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 8 and then take away 34. The answer is 46. What is my number?
  17. 17.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 4 and then take away 8. The answer is 20. What is my number?
  19. 19.3 × ? − 3 = 9
  20. 20.I think of a number, multiply it by 6 and then take away 2. The answer is 46. What is my number?
  21. 21.I think of a number, multiply it by 4 and then take away 31. The answer is 69. What is my number?
  22. 22.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  24. 24.2 × ? + 23 = 43
  25. 25.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  26. 26.11 × ? − 2 = 130
  27. 27.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 3 and then add 16. The answer is 31. What is my number?
  29. 29.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 4(x + 5) = 3x + 26. What is x?
  31. 31.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 8 and then add 33. The answer is 121. What is my number?
  33. 33.Kavya has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  36. 36.Solve for x: 3(x + 3) = x + 41. What is x?
  37. 37.I think of a number, multiply it by 3 and then take away 23. The answer is 67. What is my number?
  38. 38.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 3 and then take away 23. The answer is 4. What is my number?

Answer key

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

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