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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 709 · 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: 4(x + 4) = 3x + 20. What is x?
  2. 2.Solve for x: 7(x + 2) = 6x + 30. What is x?
  3. 3.I think of a number, multiply it by 2 and then take away 10. The answer is 10. What is my number?
  4. 4.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 7 and then take away 31. The answer is 32. What is my number?
  9. 9.I think of a number, multiply it by 2 and then add 17. The answer is 29. What is my number?
  10. 10.I think of a number, multiply it by 3 and then add 8. The answer is 65. What is my number?
  11. 11.Solve for x: 5(x + 2) = 4x + 25. What is x?
  12. 12.I think of a number, multiply it by 8 and then take away 31. The answer is 185. What is my number?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  14. 14.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹20 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  17. 17.Rahul has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 3 and then take away 10. The answer is 44. What is my number?
  19. 19.Meera has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 8(x + 7) = 5x + 68. What is x?
  21. 21.A pen costs ₹5 more than a pencil. 5 pens and 7 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹9 more than a pencil. 6 pens and 7 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then take away 5. The answer is 220. What is my number?
  24. 24.2 × ? − 7 = 43
  25. 25.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  27. 27.4 × ? − 25 = 59
  28. 28.I think of a number, multiply it by 4 and then take away 13. The answer is 11. What is my number?
  29. 29.3 × ? + 29 = 92
  30. 30.I think of a number, multiply it by 6 and then add 12. The answer is 114. What is my number?
  31. 31.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 6(x + 4) = 5x + 35. What is x?
  33. 33.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  34. 34.12 × ? + 1 = 157
  35. 35.Dev has 20 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then take away 11. The answer is 67. What is my number?
  39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  40. 40.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?

Answer key

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

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