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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 370 · 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.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  2. 2.12 × ? − 24 = 84
  3. 3.Solve for x: 6(x + 1) = 5x + 8. What is x?
  4. 4.Solve for x: 4(x + 7) = 3x + 31. What is x?
  5. 5.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  6. 6.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  7. 7.5 × ? − 17 = 28
  8. 8.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 7 and then add 10. The answer is 206. What is my number?
  10. 10.I think of a number, multiply it by 4 and then add 12. The answer is 100. What is my number?
  11. 11.7 × ? + 19 = 187
  12. 12.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  15. 15.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 6(x + 4) = 2x + 60. What is x?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  18. 18.Solve for x: 5(x + 2) = x + 66. What is x?
  19. 19.Solve for x: 7(x + 7) = 5x + 63. What is x?
  20. 20.I think of a number, multiply it by 3 and then take away 3. The answer is 45. What is my number?
  21. 21.3 × ? + 14 = 74
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  23. 23.Solve for x: 7(x + 8) = 2x + 131. What is x?
  24. 24.I think of a number, multiply it by 3 and then take away 16. The answer is 44. What is my number?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  26. 26.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  27. 27.9 × ? + 27 = 63
  28. 28.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  29. 29.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  30. 30.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  32. 32.6 × ? + 14 = 68
  33. 33.Karan has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  34. 34.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 6(x + 3) = 3x + 24. What is x?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  38. 38.Sneha has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  39. 39.5 × ? + 24 = 74
  40. 40.2 × ? + 4 = 28

Answer key

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

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