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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 261 · 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 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  2. 2.Solve for x: 5(x + 1) = x + 33. What is x?
  3. 3.9 × ? + 29 = 218
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 2 and then add 25. The answer is 57. What is my number?
  6. 6.Karan has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
  8. 8.3 × ? − 19 = 35
  9. 9.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  10. 10.9 × ? + 4 = 40
  11. 11.I think of a number, multiply it by 3 and then add 13. The answer is 70. What is my number?
  12. 12.I think of a number, multiply it by 6 and then take away 7. The answer is 113. What is my number?
  13. 13.4 × ? − 13 = 39
  14. 14.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  15. 15.10 × ? + 25 = 255
  16. 16.I think of a number, multiply it by 4 and then take away 30. The answer is 86. What is my number?
  17. 17.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 2 and then take away 10. The answer is 30. What is my number?
  19. 19.Solve for x: 3(x + 6) = 2x + 32. What is x?
  20. 20.Farhan has 20 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 5(x + 5) = 2x + 73. What is x?
  22. 22.Solve for x: 4(x + 9) = x + 72. What is x?
  23. 23.Solve for x: 8(x + 2) = x + 23. What is x?
  24. 24.Solve for x: 3(x + 8) = 2x + 35. What is x?
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  26. 26.6 × ? − 13 = 113
  27. 27.Solve for x: 3(x + 9) = x + 31. What is x?
  28. 28.A pen costs ₹10 more than a pencil. 4 pens and 3 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 8(x + 6) = 3x + 123. What is x?
  30. 30.Solve for x: 8(x + 4) = 6x + 64. What is x?
  31. 31.Solve for x: 8(x + 6) = x + 90. What is x?
  32. 32.Solve for x: 9(x + 3) = 2x + 55. What is x?
  33. 33.Kavya has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  34. 34.6 × ? − 3 = 63
  35. 35.Solve for x: 6(x + 3) = x + 88. What is x?
  36. 36.I think of a number, multiply it by 4 and then take away 22. The answer is 58. What is my number?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 8 and then take away 29. The answer is 43. What is my number?
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?

Answer key

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

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