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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 874 · 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: 5(x + 4) = 4x + 29. What is x?
  2. 2.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  4. 4.7 × ? − 26 = 79
  5. 5.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  6. 6.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  7. 7.10 × ? + 18 = 208
  8. 8.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  9. 9.12 × ? − 6 = 66
  10. 10.Solve for x: 4(x + 5) = 3x + 32. What is x?
  11. 11.A pen costs ₹6 more than a pencil. 4 pens and 5 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 7 and then add 24. The answer is 150. What is my number?
  15. 15.7 × ? − 16 = 33
  16. 16.Solve for x: 4(x + 1) = 3x + 21. What is x?
  17. 17.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 4 and then add 14. The answer is 78. What is my number?
  19. 19.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 3 and then add 12. The answer is 33. What is my number?
  21. 21.I think of a number, multiply it by 5 and then take away 17. The answer is 13. What is my number?
  22. 22.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  23. 23.Aarav has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 4 and then add 11. The answer is 111. What is my number?
  25. 25.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  26. 26.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 4 and then take away 40. The answer is 80. What is my number?
  29. 29.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  30. 30.2 × ? − 2 = 34
  31. 31.Solve for x: 8(x + 7) = x + 119. What is x?
  32. 32.Solve for x: 4(x + 3) = x + 30. What is x?
  33. 33.I think of a number, multiply it by 3 and then take away 9. The answer is 21. What is my number?
  34. 34.5 × ? − 17 = 83
  35. 35.I think of a number, multiply it by 9 and then add 14. The answer is 167. What is my number?
  36. 36.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  38. 38.12 × ? + 5 = 125
  39. 39.I think of a number, multiply it by 5 and then add 7. The answer is 107. What is my number?
  40. 40.2 × ? + 2 = 18

Answer key

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

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