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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 960 · 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: 8(x + 3) = 2x + 48. What is x?
  2. 2.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  4. 4.Solve for x: 3(x + 4) = x + 22. What is x?
  5. 5.8 × ? − 16 = 56
  6. 6.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 6(x + 2) = 2x + 44. What is x?
  9. 9.Arjun has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 9(x + 5) = 4x + 145. What is x?
  11. 11.I think of a number, multiply it by 2 and then take away 28. The answer is 30. What is my number?
  12. 12.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 4(x + 1) = x + 28. What is x?
  14. 14.12 × ? + 8 = 272
  15. 15.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  16. 16.Solve for x: 9(x + 1) = 5x + 41. What is x?
  17. 17.12 × ? − 29 = 127
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 4 and then add 14. The answer is 50. What is my number?
  20. 20.10 × ? + 10 = 260
  21. 21.I think of a number, multiply it by 7 and then add 20. The answer is 118. What is my number?
  22. 22.Solve for x: 8(x + 6) = 5x + 72. What is x?
  23. 23.I think of a number, multiply it by 4 and then take away 15. The answer is 1. What is my number?
  24. 24.A pen costs ₹2 more than a pencil. 3 pens and 5 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  25. 25.12 × ? − 23 = 73
  26. 26.I think of a number, multiply it by 4 and then add 15. The answer is 39. What is my number?
  27. 27.I think of a number, multiply it by 2 and then add 12. The answer is 18. What is my number?
  28. 28.Solve for x: 9(x + 9) = 2x + 88. What is x?
  29. 29.I think of a number, multiply it by 9 and then add 17. The answer is 269. What is my number?
  30. 30.I think of a number, multiply it by 2 and then add 12. The answer is 54. What is my number?
  31. 31.3 × ? − 8 = 4
  32. 32.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  33. 33.3 × ? + 25 = 40
  34. 34.I think of a number, multiply it by 6 and then add 1. The answer is 19. What is my number?
  35. 35.Solve for x: 3(x + 7) = 2x + 27. What is x?
  36. 36.7 × ? + 29 = 57
  37. 37.Sneha has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  39. 39.Karan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 7(x + 3) = 6x + 24. What is x?

Answer key

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

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