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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 924 · 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. 1.7 × ? − 3 = 137
  2. 2.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 8 and then take away 10. The answer is 174. What is my number?
  5. 5.7 × ? − 10 = 95
  6. 6.8 × ? + 19 = 35
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  8. 8.10 × ? − 5 = 195
  9. 9.I think of a number, multiply it by 2 and then add 39. The answer is 49. What is my number?
  10. 10.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  11. 11.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 6 and then take away 2. The answer is 40. What is my number?
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  15. 15.Solve for x: 9(x + 9) = 7x + 87. What is x?
  16. 16.9 × ? − 8 = 73
  17. 17.I think of a number, multiply it by 2 and then add 14. The answer is 56. What is my number?
  18. 18.6 × ? − 29 = 121
  19. 19.7 × ? + 4 = 102
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  21. 21.Solve for x: 8(x + 1) = 5x + 17. What is x?
  22. 22.Solve for x: 6(x + 5) = x + 115. What is x?
  23. 23.Solve for x: 4(x + 1) = 3x + 20. What is x?
  24. 24.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 3 and then add 1. The answer is 61. What is my number?
  26. 26.Nisha has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 4(x + 7) = 2x + 60. What is x?
  28. 28.I think of a number, multiply it by 7 and then add 27. The answer is 69. What is my number?
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  31. 31.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 5 and then take away 15. The answer is 115. What is my number?
  33. 33.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  35. 35.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 8(x + 9) = x + 135. What is x?
  37. 37.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  38. 38.8 × ? − 21 = 11
  39. 39.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 7(x + 4) = 4x + 34. What is x?

Answer key

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

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