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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 604 · 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: 6(x + 9) = 5x + 70. What is x?
  2. 2.I think of a number, multiply it by 2 and then add 3. The answer is 29. What is my number?
  3. 3.3 × ? + 27 = 51
  4. 4.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  5. 5.4 × ? + 9 = 77
  6. 6.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 9 and then add 23. The answer is 122. What is my number?
  8. 8.10 × ? − 24 = 176
  9. 9.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  11. 11.Aditya has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 9 and then add 38. The answer is 146. What is my number?
  13. 13.Solve for x: 7(x + 1) = 4x + 46. What is x?
  14. 14.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  16. 16.Solve for x: 6(x + 5) = 2x + 54. What is x?
  17. 17.5 × ? − 26 = 44
  18. 18.Solve for x: 3(x + 5) = 2x + 29. What is x?
  19. 19.I think of a number, multiply it by 6 and then take away 6. The answer is 42. What is my number?
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  21. 21.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 7(x + 6) = 3x + 46. What is x?
  23. 23.I think of a number, multiply it by 5 and then take away 26. The answer is 44. What is my number?
  24. 24.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  26. 26.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 8 and then add 20. The answer is 68. What is my number?
  29. 29.Karan has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  32. 32.4 × ? + 29 = 101
  33. 33.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 3(x + 6) = x + 36. What is x?
  35. 35.Solve for x: 9(x + 6) = 2x + 82. What is x?
  36. 36.I think of a number, multiply it by 3 and then take away 14. The answer is 67. What is my number?
  37. 37.Solve for x: 4(x + 1) = 2x + 42. What is x?
  38. 38.12 × ? − 9 = 63
  39. 39.Dev has 24 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  40. 40.12 × ? − 14 = 262

Answer key

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

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