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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 428 · 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: 7(x + 8) = 3x + 100. What is x?
  2. 2.11 × ? + 22 = 209
  3. 3.Solve for x: 3(x + 8) = x + 34. What is x?
  4. 4.Solve for x: 6(x + 4) = 4x + 44. What is x?
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  6. 6.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 4 and then add 7. The answer is 27. What is my number?
  8. 8.8 × ? − 9 = 191
  9. 9.Solve for x: 6(x + 3) = 2x + 42. What is x?
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 9 and then take away 31. The answer is 41. What is my number?
  12. 12.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  15. 15.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 5 and then take away 15. The answer is 75. What is my number?
  18. 18.I think of a number, multiply it by 2 and then take away 16. The answer is 36. What is my number?
  19. 19.I think of a number, multiply it by 4 and then take away 12. The answer is 92. What is my number?
  20. 20.Solve for x: 8(x + 1) = x + 148. What is x?
  21. 21.4 × ? + 16 = 24
  22. 22.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  25. 25.Solve for x: 6(x + 6) = 5x + 39. What is x?
  26. 26.Solve for x: 4(x + 8) = 2x + 44. What is x?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  28. 28.Solve for x: 6(x + 7) = x + 62. What is x?
  29. 29.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  31. 31.3 × ? + 30 = 75
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 4 and then take away 1. The answer is 59. What is my number?
  35. 35.3 × ? − 28 = 26
  36. 36.I think of a number, multiply it by 2 and then add 36. The answer is 56. What is my number?
  37. 37.Solve for x: 7(x + 1) = x + 37. What is x?
  38. 38.Solve for x: 3(x + 6) = x + 20. What is x?
  39. 39.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  40. 40.Tara has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?

Answer key

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

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