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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 293 · 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: 9(x + 2) = 5x + 94. What is x?
  2. 2.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  3. 3.4 × ? + 16 = 24
  4. 4.10 × ? + 4 = 214
  5. 5.Arjun has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 3 and then take away 14. The answer is 16. What is my number?
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  8. 8.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  9. 9.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  10. 10.Ishaan has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  11. 11.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 5(x + 8) = 2x + 43. What is x?
  13. 13.12 × ? − 2 = 286
  14. 14.A pen costs ₹10 more than a pencil. 2 pens and 6 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  15. 15.3 × ? + 19 = 58
  16. 16.I think of a number, multiply it by 5 and then take away 13. The answer is 67. What is my number?
  17. 17.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 4(x + 1) = 3x + 24. What is x?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 2 and then take away 3. The answer is 31. What is my number?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  23. 23.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  24. 24.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 3(x + 7) = x + 45. What is x?
  26. 26.Solve for x: 8(x + 6) = 7x + 53. What is x?
  27. 27.2 × ? − 2 = 40
  28. 28.I think of a number, multiply it by 8 and then add 17. The answer is 89. What is my number?
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  30. 30.Solve for x: 5(x + 4) = 2x + 26. What is x?
  31. 31.A pen costs ₹10 more than a pencil. 4 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  33. 33.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  34. 34.12 × ? + 10 = 94
  35. 35.Solve for x: 4(x + 7) = x + 55. What is x?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  37. 37.Solve for x: 5(x + 7) = 2x + 53. What is x?
  38. 38.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 8(x + 9) = 7x + 84. What is x?
  40. 40.I think of a number, multiply it by 3 and then take away 23. The answer is 25. What is my number?

Answer key

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

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