← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 770 · 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: 3(x + 5) = x + 49. What is x?
  2. 2.I think of a number, multiply it by 3 and then take away 31. The answer is 50. What is my number?
  3. 3.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 4(x + 3) = 3x + 16. What is x?
  5. 5.Solve for x: 4(x + 8) = x + 59. What is x?
  6. 6.Solve for x: 6(x + 2) = 3x + 21. What is x?
  7. 7.Solve for x: 6(x + 2) = 3x + 30. What is x?
  8. 8.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 7(x + 6) = 5x + 58. What is x?
  10. 10.I think of a number, multiply it by 4 and then take away 33. The answer is 11. What is my number?
  11. 11.I think of a number, multiply it by 7 and then add 16. The answer is 114. What is my number?
  12. 12.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 7 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 6 and then add 31. The answer is 205. What is my number?
  15. 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  16. 16.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 5 and then take away 11. The answer is 19. What is my number?
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  19. 19.10 × ? − 30 = 40
  20. 20.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  22. 22.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 9(x + 3) = 6x + 39. What is x?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  25. 25.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 8 and then add 4. The answer is 76. What is my number?
  27. 27.Solve for x: 7(x + 4) = 3x + 100. What is x?
  28. 28.4 × ? − 13 = 23
  29. 29.I think of a number, multiply it by 3 and then add 37. The answer is 49. What is my number?
  30. 30.Solve for x: 6(x + 1) = 2x + 62. What is x?
  31. 31.Solve for x: 8(x + 3) = 7x + 29. What is x?
  32. 32.I think of a number, multiply it by 9 and then add 11. The answer is 272. What is my number?
  33. 33.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  35. 35.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  36. 36.5 × ? − 21 = 69
  37. 37.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 4 and then add 23. The answer is 31. What is my number?
  39. 39.Solve for x: 4(x + 2) = 3x + 16. What is x?
  40. 40.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?

Answer key

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

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude