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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 462 · 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.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 9(x + 2) = 7x + 40. What is x?
  4. 4.7 × ? + 27 = 125
  5. 5.7 × ? − 25 = 115
  6. 6.3 × ? + 10 = 49
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  8. 8.12 × ? − 11 = 25
  9. 9.I think of a number, multiply it by 3 and then add 22. The answer is 91. What is my number?
  10. 10.11 × ? + 23 = 166
  11. 11.I think of a number, multiply it by 8 and then add 20. The answer is 36. What is my number?
  12. 12.I think of a number, multiply it by 8 and then take away 4. The answer is 108. What is my number?
  13. 13.Solve for x: 9(x + 1) = 8x + 10. What is x?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  15. 15.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 3(x + 9) = 2x + 34. What is x?
  17. 17.2 × ? − 12 = 26
  18. 18.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 9(x + 5) = 8x + 46. What is x?
  20. 20.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  21. 21.Solve for x: 8(x + 9) = 4x + 136. What is x?
  22. 22.I think of a number, multiply it by 7 and then add 17. The answer is 66. What is my number?
  23. 23.Solve for x: 5(x + 5) = 4x + 26. What is x?
  24. 24.I think of a number, multiply it by 5 and then take away 15. The answer is 130. What is my number?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  26. 26.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  27. 27.6 × ? − 18 = 48
  28. 28.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  29. 29.5 × ? + 26 = 56
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  31. 31.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 6(x + 2) = 4x + 38. What is x?
  33. 33.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  34. 34.7 × ? + 21 = 70
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 4 and then take away 5. The answer is 111. What is my number?
  37. 37.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  38. 38.Karan has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  39. 39.12 × ? − 22 = 254
  40. 40.Solve for x: 6(x + 7) = 2x + 66. What is x?

Answer key

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

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