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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 799 · 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 9 and then add 4. The answer is 22. What is my number?
  2. 2.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 4(x + 1) = 3x + 13. What is x?
  6. 6.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  8. 8.Farhan has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  9. 9.4 × ? + 7 = 47
  10. 10.I think of a number, multiply it by 6 and then add 40. The answer is 166. What is my number?
  11. 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  12. 12.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  13. 13.2 × ? + 20 = 34
  14. 14.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  16. 16.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  18. 18.8 × ? + 6 = 174
  19. 19.Solve for x: 8(x + 7) = x + 91. What is x?
  20. 20.7 × ? + 29 = 204
  21. 21.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 5 and then add 2. The answer is 132. What is my number?
  24. 24.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 8 and then take away 27. The answer is 29. What is my number?
  26. 26.7 × ? + 22 = 134
  27. 27.Solve for x: 7(x + 5) = 6x + 39. What is x?
  28. 28.I think of a number, multiply it by 4 and then add 10. The answer is 22. What is my number?
  29. 29.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  32. 32.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  34. 34.2 × ? − 11 = 3
  35. 35.6 × ? + 17 = 119
  36. 36.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 7(x + 6) = 6x + 49. What is x?
  38. 38.Solve for x: 9(x + 8) = 6x + 114. What is x?
  39. 39.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  40. 40.Saanvi has 27 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?

Answer key

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

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