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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 148 · 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 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 2 and then take away 12. The answer is 10. What is my number?
  3. 3.Solve for x: 8(x + 9) = 3x + 92. What is x?
  4. 4.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  6. 6.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 3 and then take away 15. The answer is 21. What is my number?
  8. 8.I think of a number, multiply it by 8 and then add 26. The answer is 154. What is my number?
  9. 9.I think of a number, multiply it by 9 and then take away 6. The answer is 93. What is my number?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  11. 11.4 × ? − 22 = 2
  12. 12.4 × ? + 20 = 104
  13. 13.9 × ? − 8 = 109
  14. 14.I think of a number, multiply it by 2 and then take away 8. The answer is 12. What is my number?
  15. 15.Dev has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  16. 16.3 × ? + 9 = 54
  17. 17.Solve for x: 3(x + 6) = x + 26. What is x?
  18. 18.I think of a number, multiply it by 8 and then take away 29. The answer is 3. What is my number?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  20. 20.Rahul has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  21. 21.7 × ? − 18 = 10
  22. 22.Solve for x: 6(x + 1) = 3x + 42. What is x?
  23. 23.12 × ? − 13 = 83
  24. 24.12 × ? + 7 = 67
  25. 25.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  27. 27.10 × ? + 4 = 114
  28. 28.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 2 and then take away 13. The answer is 37. What is my number?
  31. 31.I think of a number, multiply it by 5 and then add 22. The answer is 67. What is my number?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  33. 33.Solve for x: 4(x + 6) = 2x + 34. What is x?
  34. 34.3 × ? + 3 = 42
  35. 35.Solve for x: 9(x + 6) = 5x + 62. What is x?
  36. 36.Solve for x: 8(x + 8) = 4x + 88. What is x?
  37. 37.I think of a number, multiply it by 8 and then add 36. The answer is 60. What is my number?
  38. 38.Solve for x: 8(x + 1) = 5x + 62. What is x?
  39. 39.3 × ? − 27 = 9
  40. 40.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?

Answer key

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

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