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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 946 · 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) = 3x + 84. What is x?
  2. 2.Solve for x: 5(x + 4) = 4x + 36. What is x?
  3. 3.I think of a number, multiply it by 2 and then take away 33. The answer is 17. What is my number?
  4. 4.A pen costs ₹10 more than a pencil. 2 pens and 6 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  6. 6.12 × ? − 4 = 260
  7. 7.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  9. 9.8 × ? − 14 = 82
  10. 10.7 × ? − 30 = 82
  11. 11.I think of a number, multiply it by 8 and then take away 36. The answer is 124. What is my number?
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 2 and then take away 6. The answer is 38. What is my number?
  14. 14.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  15. 15.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 3(x + 3) = 2x + 14. What is x?
  20. 20.10 × ? − 21 = 29
  21. 21.I think of a number, multiply it by 2 and then add 7. The answer is 55. What is my number?
  22. 22.12 × ? − 2 = 130
  23. 23.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 8 and then add 13. The answer is 93. What is my number?
  25. 25.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹6 more than a pencil. 4 pens and 5 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 2 and then add 5. The answer is 45. What is my number?
  28. 28.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹13 more than a pencil. 5 pens and 8 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 3(x + 8) = 2x + 38. What is x?
  31. 31.11 × ? + 21 = 285
  32. 32.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 3(x + 3) = x + 21. What is x?
  34. 34.Solve for x: 8(x + 4) = 5x + 50. What is x?
  35. 35.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 7(x + 2) = 4x + 65. What is x?
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  38. 38.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 7(x + 4) = x + 82. What is x?
  40. 40.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?

Answer key

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

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