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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 133 · 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 + 29. What is x?
  2. 2.Solve for x: 4(x + 3) = 3x + 24. What is x?
  3. 3.I think of a number, multiply it by 4 and then take away 18. The answer is 2. What is my number?
  4. 4.4 × ? + 18 = 38
  5. 5.Solve for x: 4(x + 3) = x + 54. What is x?
  6. 6.I think of a number, multiply it by 4 and then take away 7. The answer is 73. What is my number?
  7. 7.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  8. 8.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 9(x + 9) = 5x + 93. What is x?
  10. 10.4 × ? − 4 = 16
  11. 11.8 × ? + 6 = 150
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  13. 13.Solve for x: 3(x + 3) = x + 23. What is x?
  14. 14.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹102 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 34 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  19. 19.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 4(x + 2) = x + 41. What is x?
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 2 and then add 11. The answer is 15. What is my number?
  23. 23.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 3(x + 1) = x + 33. What is x?
  25. 25.Vivaan has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 7(x + 3) = 2x + 101. What is x?
  27. 27.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 9 and then take away 21. The answer is 24. What is my number?
  29. 29.I think of a number, multiply it by 2 and then take away 22. The answer is 30. What is my number?
  30. 30.Saanvi has 28 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  31. 31.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  32. 32.9 × ? − 20 = 52
  33. 33.I think of a number, multiply it by 9 and then add 14. The answer is 77. What is my number?
  34. 34.Solve for x: 6(x + 8) = 5x + 52. What is x?
  35. 35.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 3 and then take away 11. The answer is 52. What is my number?
  37. 37.Arjun has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 3(x + 7) = 2x + 25. What is x?
  39. 39.2 × ? + 4 = 38
  40. 40.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹50 in all. What does one pencil cost (in ₹)?

Answer key

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

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