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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 306 · 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.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  2. 2.5 × ? + 21 = 41
  3. 3.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 5 and then take away 18. The answer is 122. What is my number?
  5. 5.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  6. 6.Solve for x: 4(x + 7) = 2x + 34. What is x?
  7. 7.9 × ? + 30 = 255
  8. 8.10 × ? + 3 = 233
  9. 9.Solve for x: 8(x + 7) = 7x + 65. What is x?
  10. 10.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  12. 12.4 × ? − 13 = 39
  13. 13.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 8(x + 7) = x + 168. What is x?
  15. 15.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  19. 19.7 × ? + 3 = 38
  20. 20.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 4 and then take away 2. The answer is 6. What is my number?
  23. 23.I think of a number, multiply it by 8 and then add 8. The answer is 64. What is my number?
  24. 24.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 3(x + 9) = x + 51. What is x?
  26. 26.7 × ? − 26 = 79
  27. 27.3 × ? − 2 = 49
  28. 28.3 × ? + 3 = 57
  29. 29.9 × ? + 1 = 64
  30. 30.I think of a number, multiply it by 5 and then take away 33. The answer is 22. What is my number?
  31. 31.A pen costs ₹13 more than a pencil. 6 pens and 3 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 7(x + 7) = 2x + 139. What is x?
  33. 33.I think of a number, multiply it by 8 and then add 40. The answer is 72. What is my number?
  34. 34.Solve for x: 5(x + 7) = 4x + 39. What is x?
  35. 35.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 6 and then add 3. The answer is 93. What is my number?
  37. 37.Solve for x: 3(x + 4) = 2x + 14. What is x?
  38. 38.2 × ? − 29 = 9
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  40. 40.5 × ? + 6 = 66

Answer key

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

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