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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 308 · 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 48 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 4 and then add 4. The answer is 88. What is my number?
  3. 3.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 3(x + 8) = x + 26. What is x?
  5. 5.I think of a number, multiply it by 7 and then take away 26. The answer is 2. What is my number?
  6. 6.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 9 and then add 16. The answer is 133. What is my number?
  8. 8.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  10. 10.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹27 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 9 and then add 4. The answer is 175. What is my number?
  13. 13.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 9(x + 4) = 3x + 132. What is x?
  15. 15.Solve for x: 3(x + 8) = x + 62. What is x?
  16. 16.5 × ? − 14 = 26
  17. 17.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 6 and then take away 37. The answer is 53. What is my number?
  21. 21.Solve for x: 5(x + 3) = x + 55. What is x?
  22. 22.Solve for x: 6(x + 4) = 2x + 44. What is x?
  23. 23.I think of a number, multiply it by 2 and then add 5. The answer is 23. What is my number?
  24. 24.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 6 and then add 2. The answer is 38. What is my number?
  26. 26.I think of a number, multiply it by 8 and then add 26. The answer is 90. What is my number?
  27. 27.Farhan has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 4(x + 6) = x + 36. What is x?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 9 and then add 10. The answer is 64. What is my number?
  31. 31.I think of a number, multiply it by 8 and then add 28. The answer is 76. What is my number?
  32. 32.I think of a number, multiply it by 9 and then add 5. The answer is 194. What is my number?
  33. 33.Solve for x: 6(x + 8) = 5x + 68. What is x?
  34. 34.Solve for x: 9(x + 2) = 3x + 72. What is x?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  38. 38.Solve for x: 7(x + 8) = x + 62. What is x?
  39. 39.I think of a number, multiply it by 9 and then add 23. The answer is 95. What is my number?
  40. 40.Solve for x: 7(x + 1) = 2x + 102. What is x?

Answer key

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

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