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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 258 · 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. 1.4 × ? − 8 = 72
  2. 2.Solve for x: 5(x + 1) = x + 21. What is x?
  3. 3.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  4. 4.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 3 and then add 40. The answer is 94. What is my number?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  7. 7.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 9(x + 9) = 6x + 90. What is x?
  9. 9.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 6 and then add 40. The answer is 70. What is my number?
  12. 12.I think of a number, multiply it by 3 and then take away 9. The answer is 6. What is my number?
  13. 13.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  14. 14.Farhan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  16. 16.Solve for x: 4(x + 8) = 3x + 39. What is x?
  17. 17.I think of a number, multiply it by 4 and then take away 23. The answer is 65. What is my number?
  18. 18.7 × ? + 10 = 87
  19. 19.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 7 and then take away 15. The answer is 41. What is my number?
  22. 22.Solve for x: 6(x + 3) = 5x + 21. What is x?
  23. 23.I think of a number, multiply it by 2 and then add 29. The answer is 71. What is my number?
  24. 24.Solve for x: 3(x + 6) = 2x + 25. What is x?
  25. 25.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 9(x + 8) = 4x + 97. What is x?
  27. 27.Solve for x: 3(x + 4) = x + 28. What is x?
  28. 28.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  29. 29.6 × ? + 7 = 67
  30. 30.Solve for x: 8(x + 9) = x + 79. What is x?
  31. 31.9 × ? + 18 = 63
  32. 32.I think of a number, multiply it by 9 and then add 31. The answer is 94. What is my number?
  33. 33.10 × ? + 30 = 230
  34. 34.9 × ? + 27 = 234
  35. 35.I think of a number, multiply it by 9 and then take away 26. The answer is 64. What is my number?
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  37. 37.Solve for x: 4(x + 6) = 3x + 25. What is x?
  38. 38.3 × ? − 23 = 4
  39. 39.Solve for x: 5(x + 6) = 2x + 66. What is x?
  40. 40.Solve for x: 4(x + 1) = 2x + 32. What is x?

Answer key

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

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