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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 309 · 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 + 8) = x + 50. What is x?
  2. 2.I think of a number, multiply it by 4 and then add 32. The answer is 84. What is my number?
  3. 3.Solve for x: 9(x + 3) = 6x + 30. What is x?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  5. 5.Solve for x: 9(x + 9) = 8x + 86. What is x?
  6. 6.I think of a number, multiply it by 6 and then add 22. The answer is 184. What is my number?
  7. 7.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 5 and then add 14. The answer is 49. What is my number?
  9. 9.Solve for x: 4(x + 3) = x + 30. What is x?
  10. 10.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 4 and then take away 14. The answer is 22. What is my number?
  13. 13.7 × ? − 19 = 86
  14. 14.Solve for x: 4(x + 8) = x + 56. What is x?
  15. 15.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 9 and then take away 16. The answer is 200. What is my number?
  18. 18.The length of a rectangle is 8 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 4 and then add 14. The answer is 58. What is my number?
  21. 21.I think of a number, multiply it by 4 and then add 33. The answer is 93. What is my number?
  22. 22.Solve for x: 5(x + 2) = x + 74. What is x?
  23. 23.11 × ? − 25 = 184
  24. 24.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  25. 25.2 × ? + 6 = 14
  26. 26.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  27. 27.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  28. 28.6 × ? + 16 = 46
  29. 29.Solve for x: 6(x + 6) = 4x + 58. What is x?
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  31. 31.9 × ? + 28 = 118
  32. 32.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  33. 33.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  35. 35.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  36. 36.6 × ? + 26 = 170
  37. 37.Solve for x: 3(x + 5) = x + 27. What is x?
  38. 38.6 × ? + 28 = 40
  39. 39.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 9 and then take away 9. The answer is 135. What is my number?

Answer key

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

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