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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 125 · 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: 8(x + 7) = 3x + 101. What is x?
  2. 2.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  4. 4.2 × ? − 8 = 42
  5. 5.Solve for x: 9(x + 1) = 5x + 89. What is x?
  6. 6.Solve for x: 9(x + 7) = 2x + 70. What is x?
  7. 7.Solve for x: 8(x + 6) = 6x + 50. What is x?
  8. 8.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  9. 9.4 × ? + 5 = 81
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  11. 11.Rahul has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  12. 12.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  13. 13.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  14. 14.7 × ? − 17 = 130
  15. 15.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹308 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 9 and then add 7. The answer is 196. What is my number?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  19. 19.9 × ? − 22 = 95
  20. 20.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  22. 22.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  23. 23.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 7 and then add 28. The answer is 154. What is my number?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  26. 26.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  27. 27.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 3 and then take away 27. The answer is 12. What is my number?
  31. 31.I think of a number, multiply it by 9 and then add 10. The answer is 127. What is my number?
  32. 32.I think of a number, multiply it by 6 and then add 40. The answer is 64. What is my number?
  33. 33.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 4(x + 2) = 2x + 10. What is x?
  36. 36.I think of a number, multiply it by 3 and then add 39. The answer is 111. What is my number?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  38. 38.Solve for x: 3(x + 7) = 2x + 28. What is x?
  39. 39.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹15 more than a pencil. 3 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?

Answer key

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

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