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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 105 · 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: 6(x + 4) = 4x + 54. What is x?
  2. 2.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  4. 4.Solve for x: 8(x + 8) = x + 204. What is x?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  6. 6.3 × ? − 3 = 15
  7. 7.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  8. 8.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  9. 9.12 × ? + 25 = 61
  10. 10.I think of a number, multiply it by 4 and then add 4. The answer is 96. What is my number?
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  12. 12.Solve for x: 3(x + 2) = x + 10. What is x?
  13. 13.12 × ? − 1 = 131
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  15. 15.Solve for x: 6(x + 8) = 3x + 108. What is x?
  16. 16.Solve for x: 8(x + 5) = x + 145. What is x?
  17. 17.Solve for x: 7(x + 7) = 5x + 73. What is x?
  18. 18.I think of a number, multiply it by 6 and then take away 4. The answer is 134. What is my number?
  19. 19.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 4 and then add 30. The answer is 126. What is my number?
  21. 21.I think of a number, multiply it by 3 and then take away 24. The answer is 54. What is my number?
  22. 22.Rohan has 27 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 4(x + 2) = x + 26. What is x?
  24. 24.I think of a number, multiply it by 6 and then add 32. The answer is 68. What is my number?
  25. 25.I think of a number, multiply it by 5 and then take away 28. The answer is 67. What is my number?
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  27. 27.5 × ? − 20 = 35
  28. 28.8 × ? − 22 = 130
  29. 29.9 × ? + 15 = 114
  30. 30.I think of a number, multiply it by 4 and then take away 1. The answer is 27. What is my number?
  31. 31.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  32. 32.2 × ? + 8 = 34
  33. 33.11 × ? + 1 = 111
  34. 34.Solve for x: 4(x + 9) = x + 63. What is x?
  35. 35.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 4(x + 3) = 3x + 32. What is x?
  38. 38.3 × ? − 3 = 21
  39. 39.3 × ? + 26 = 35
  40. 40.Kabir has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?

Answer key

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

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