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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 816 · 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 2 and then add 7. The answer is 51. What is my number?
  2. 2.I think of a number, multiply it by 3 and then add 29. The answer is 38. What is my number?
  3. 3.10 × ? + 5 = 85
  4. 4.4 × ? − 29 = 71
  5. 5.Karan has 30 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 9(x + 1) = 8x + 15. What is x?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  8. 8.6 × ? − 4 = 8
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 6 and then take away 39. The answer is 15. What is my number?
  11. 11.Solve for x: 3(x + 9) = x + 59. What is x?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  13. 13.4 × ? − 3 = 45
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  16. 16.Solve for x: 7(x + 1) = x + 91. What is x?
  17. 17.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  20. 20.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 3(x + 9) = x + 51. What is x?
  22. 22.I think of a number, multiply it by 3 and then take away 23. The answer is 4. What is my number?
  23. 23.I think of a number, multiply it by 3 and then take away 1. The answer is 23. What is my number?
  24. 24.Solve for x: 7(x + 3) = 2x + 81. What is x?
  25. 25.I think of a number, multiply it by 3 and then add 14. The answer is 23. What is my number?
  26. 26.I think of a number, multiply it by 7 and then add 11. The answer is 53. What is my number?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  28. 28.Solve for x: 9(x + 7) = x + 159. What is x?
  29. 29.Solve for x: 4(x + 4) = 2x + 22. What is x?
  30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  31. 31.Solve for x: 8(x + 3) = 7x + 43. What is x?
  32. 32.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 8(x + 2) = 2x + 100. What is x?
  34. 34.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 7 and then take away 2. The answer is 68. What is my number?
  39. 39.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 6(x + 6) = 5x + 51. What is x?

Answer key

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

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