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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 194 · 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.I think of a number, multiply it by 4 and then add 3. The answer is 43. What is my number?
  2. 2.3 × ? + 16 = 40
  3. 3.I think of a number, multiply it by 7 and then take away 40. The answer is 30. What is my number?
  4. 4.I think of a number, multiply it by 9 and then add 2. The answer is 65. What is my number?
  5. 5.12 × ? − 10 = 134
  6. 6.I think of a number, multiply it by 2 and then add 39. The answer is 85. What is my number?
  7. 7.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  8. 8.2 × ? + 16 = 56
  9. 9.Solve for x: 6(x + 4) = 5x + 26. What is x?
  10. 10.4 × ? + 19 = 103
  11. 11.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 5(x + 8) = 3x + 76. What is x?
  13. 13.Solve for x: 3(x + 9) = 2x + 40. What is x?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 14 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  16. 16.2 × ? − 4 = 4
  17. 17.Solve for x: 4(x + 1) = 3x + 18. What is x?
  18. 18.Solve for x: 9(x + 6) = 2x + 152. What is x?
  19. 19.6 × ? − 5 = 121
  20. 20.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 4 and then add 39. The answer is 83. What is my number?
  22. 22.I think of a number, multiply it by 7 and then add 3. The answer is 17. What is my number?
  23. 23.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 9 and then take away 39. The answer is 114. What is my number?
  25. 25.Solve for x: 8(x + 4) = 2x + 128. What is x?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 5 and then add 11. The answer is 61. What is my number?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  29. 29.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  31. 31.8 × ? − 14 = 34
  32. 32.Pooja has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 4(x + 2) = x + 59. What is x?
  35. 35.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  37. 37.9 × ? − 25 = 92
  38. 38.Solve for x: 5(x + 7) = 3x + 43. What is x?
  39. 39.Solve for x: 4(x + 2) = 3x + 11. What is x?
  40. 40.Solve for x: 9(x + 6) = 8x + 68. What is x?

Answer key

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

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