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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 305 · 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. 1.2 × ? − 6 = 10
  2. 2.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  3. 3.9 × ? + 5 = 23
  4. 4.I think of a number, multiply it by 6 and then take away 17. The answer is 145. What is my number?
  5. 5.Solve for x: 6(x + 1) = x + 26. What is x?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 6 and then add 27. The answer is 195. What is my number?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 4 and then add 22. The answer is 110. What is my number?
  12. 12.Solve for x: 4(x + 6) = x + 75. What is x?
  13. 13.Solve for x: 6(x + 5) = 2x + 90. What is x?
  14. 14.Nisha has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 9(x + 7) = 3x + 135. What is x?
  16. 16.Solve for x: 5(x + 1) = 4x + 15. What is x?
  17. 17.I think of a number, multiply it by 3 and then take away 2. The answer is 73. What is my number?
  18. 18.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 7 and then add 33. The answer is 82. What is my number?
  20. 20.Solve for x: 5(x + 8) = x + 112. What is x?
  21. 21.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 4(x + 8) = 3x + 39. What is x?
  23. 23.I think of a number, multiply it by 7 and then add 30. The answer is 79. What is my number?
  24. 24.Solve for x: 3(x + 8) = x + 30. What is x?
  25. 25.I think of a number, multiply it by 7 and then add 29. The answer is 127. What is my number?
  26. 26.9 × ? + 5 = 131
  27. 27.8 × ? − 29 = 19
  28. 28.I think of a number, multiply it by 9 and then take away 9. The answer is 180. What is my number?
  29. 29.I think of a number, multiply it by 3 and then take away 8. The answer is 58. What is my number?
  30. 30.6 × ? + 28 = 148
  31. 31.I think of a number, multiply it by 9 and then add 29. The answer is 299. What is my number?
  32. 32.I think of a number, multiply it by 8 and then add 39. The answer is 87. What is my number?
  33. 33.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  34. 34.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 3(x + 6) = 2x + 23. What is x?
  37. 37.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 4 and then take away 19. The answer is 29. What is my number?
  40. 40.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹126 in all. What does one pencil cost (in ₹)?

Answer key

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

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