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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 88 · 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: 9(x + 7) = x + 135. What is x?
  2. 2.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  3. 3.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹31 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 7 and then add 34. The answer is 237. What is my number?
  5. 5.I think of a number, multiply it by 6 and then take away 1. The answer is 83. What is my number?
  6. 6.Solve for x: 6(x + 1) = 3x + 45. What is x?
  7. 7.I think of a number, multiply it by 5 and then take away 39. The answer is 6. What is my number?
  8. 8.I think of a number, multiply it by 5 and then take away 4. The answer is 146. What is my number?
  9. 9.I think of a number, multiply it by 8 and then take away 3. The answer is 77. What is my number?
  10. 10.Solve for x: 5(x + 1) = 4x + 11. What is x?
  11. 11.I think of a number, multiply it by 3 and then add 39. The answer is 66. What is my number?
  12. 12.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 7 and then take away 5. The answer is 205. What is my number?
  14. 14.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  15. 15.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  17. 17.2 × ? + 3 = 53
  18. 18.6 × ? − 12 = 132
  19. 19.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  20. 20.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  21. 21.9 × ? + 5 = 95
  22. 22.Solve for x: 5(x + 7) = 4x + 49. What is x?
  23. 23.Solve for x: 7(x + 2) = 3x + 78. What is x?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  25. 25.2 × ? + 29 = 45
  26. 26.I think of a number, multiply it by 6 and then take away 15. The answer is 33. What is my number?
  27. 27.I think of a number, multiply it by 3 and then add 17. The answer is 35. What is my number?
  28. 28.Solve for x: 7(x + 2) = 5x + 48. What is x?
  29. 29.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  30. 30.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  31. 31.9 × ? − 24 = 201
  32. 32.5 × ? + 1 = 96
  33. 33.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  35. 35.Sneha has 27 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 3(x + 8) = x + 44. What is x?
  37. 37.8 × ? + 19 = 123
  38. 38.2 × ? + 12 = 16
  39. 39.4 × ? + 16 = 84
  40. 40.3 × ? − 26 = 25

Answer key

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

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