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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 647 · 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.I think of a number, multiply it by 4 and then add 11. The answer is 35. What is my number?
  2. 2.Solve for x: 4(x + 6) = 2x + 26. What is x?
  3. 3.I think of a number, multiply it by 5 and then add 29. The answer is 84. What is my number?
  4. 4.Solve for x: 4(x + 2) = x + 11. What is x?
  5. 5.Solve for x: 8(x + 4) = 5x + 71. What is x?
  6. 6.Solve for x: 8(x + 2) = x + 93. What is x?
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  10. 10.Solve for x: 9(x + 6) = 7x + 56. What is x?
  11. 11.I think of a number, multiply it by 6 and then take away 15. The answer is 51. What is my number?
  12. 12.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 4(x + 4) = 2x + 24. What is x?
  14. 14.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 4 and then take away 16. The answer is 80. What is my number?
  16. 16.I think of a number, multiply it by 5 and then add 31. The answer is 121. What is my number?
  17. 17.Solve for x: 9(x + 5) = 3x + 99. What is x?
  18. 18.I think of a number, multiply it by 2 and then add 11. The answer is 27. What is my number?
  19. 19.4 × ? + 30 = 126
  20. 20.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 5 and then add 4. The answer is 54. What is my number?
  22. 22.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 3(x + 5) = x + 49. What is x?
  25. 25.Solve for x: 5(x + 2) = x + 70. What is x?
  26. 26.I think of a number, multiply it by 6 and then add 1. The answer is 97. What is my number?
  27. 27.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 6(x + 3) = 4x + 54. What is x?
  29. 29.4 × ? + 24 = 52
  30. 30.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 4(x + 2) = 3x + 28. What is x?
  32. 32.Solve for x: 8(x + 2) = 6x + 18. What is x?
  33. 33.Tara has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 7(x + 3) = 3x + 29. What is x?
  35. 35.Solve for x: 3(x + 1) = 2x + 4. What is x?
  36. 36.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 7 and then take away 31. The answer is 32. What is my number?
  40. 40.I think of a number, multiply it by 4 and then add 4. The answer is 68. What is my number?

Answer key

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

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