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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 480 · 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 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  3. 3.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  5. 5.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 5(x + 9) = x + 61. What is x?
  7. 7.Solve for x: 7(x + 8) = 2x + 91. What is x?
  8. 8.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  9. 9.Solve for x: 9(x + 8) = 7x + 86. What is x?
  10. 10.Manav has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 2 and then add 14. The answer is 52. What is my number?
  13. 13.I think of a number, multiply it by 7 and then take away 5. The answer is 30. What is my number?
  14. 14.I think of a number, multiply it by 8 and then add 12. The answer is 44. What is my number?
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  18. 18.Solve for x: 6(x + 9) = x + 89. What is x?
  19. 19.Solve for x: 3(x + 4) = 2x + 13. What is x?
  20. 20.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 7(x + 7) = 5x + 83. What is x?
  22. 22.4 × ? − 23 = 77
  23. 23.Solve for x: 6(x + 4) = 4x + 36. What is x?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  25. 25.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 5(x + 2) = 2x + 64. What is x?
  27. 27.10 × ? + 30 = 60
  28. 28.Solve for x: 6(x + 6) = x + 81. What is x?
  29. 29.Diya has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  31. 31.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 4 and then add 10. The answer is 122. What is my number?
  33. 33.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 8 and then take away 25. The answer is 151. What is my number?
  35. 35.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  36. 36.Priya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  39. 39.10 × ? + 24 = 184
  40. 40.Solve for x: 5(x + 6) = 3x + 66. What is x?

Answer key

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

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