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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 903 · 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.Solve for x: 3(x + 4) = 2x + 16. What is x?
  2. 2.I think of a number, multiply it by 4 and then add 26. The answer is 118. What is my number?
  3. 3.Solve for x: 4(x + 9) = 2x + 76. What is x?
  4. 4.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  5. 5.Isha has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 4(x + 4) = x + 31. What is x?
  8. 8.3 × ? + 3 = 51
  9. 9.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  10. 10.2 × ? + 13 = 29
  11. 11.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  12. 12.7 × ? + 6 = 167
  13. 13.Solve for x: 3(x + 1) = x + 15. What is x?
  14. 14.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  15. 15.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  16. 16.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  19. 19.8 × ? + 24 = 40
  20. 20.I think of a number, multiply it by 3 and then add 10. The answer is 16. What is my number?
  21. 21.I think of a number, multiply it by 5 and then add 31. The answer is 156. What is my number?
  22. 22.2 × ? − 5 = 11
  23. 23.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  24. 24.Sneha has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 4 and then add 14. The answer is 86. What is my number?
  26. 26.2 × ? + 20 = 32
  27. 27.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  30. 30.Solve for x: 8(x + 9) = 2x + 168. What is x?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  32. 32.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 3(x + 6) = x + 24. What is x?
  34. 34.I think of a number, multiply it by 8 and then add 6. The answer is 62. What is my number?
  35. 35.I think of a number, multiply it by 4 and then add 12. The answer is 40. What is my number?
  36. 36.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹22 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  39. 39.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 5 and then add 30. The answer is 50. What is my number?

Answer key

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

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