← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 463 · 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. 1.5 × ? + 9 = 34
  2. 2.Solve for x: 6(x + 7) = x + 142. What is x?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  4. 4.3 × ? − 24 = 18
  5. 5.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 7(x + 7) = 5x + 71. What is x?
  7. 7.7 × ? − 10 = 4
  8. 8.I think of a number, multiply it by 6 and then take away 7. The answer is 101. What is my number?
  9. 9.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  10. 10.Farhan has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 8(x + 9) = 7x + 78. What is x?
  12. 12.6 × ? − 18 = 108
  13. 13.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  15. 15.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 2 and then add 5. The answer is 29. What is my number?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  20. 20.Solve for x: 4(x + 1) = x + 13. What is x?
  21. 21.I think of a number, multiply it by 7 and then take away 4. The answer is 115. What is my number?
  22. 22.Solve for x: 5(x + 3) = x + 79. What is x?
  23. 23.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  24. 24.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  25. 25.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 9 and then take away 14. The answer is 76. What is my number?
  27. 27.5 × ? + 15 = 90
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 4 and then add 6. The answer is 110. What is my number?
  30. 30.7 × ? − 11 = 31
  31. 31.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 8(x + 5) = 4x + 60. What is x?
  33. 33.Solve for x: 8(x + 2) = 7x + 34. What is x?
  34. 34.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  36. 36.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 2 and then add 13. The answer is 49. What is my number?
  38. 38.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  39. 39.7 × ? + 22 = 183
  40. 40.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹246 in all. What does one pencil cost (in ₹)?

Answer key

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

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