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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 914 · 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: 9(x + 5) = 5x + 53. What is x?
  2. 2.10 × ? − 7 = 43
  3. 3.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 7(x + 3) = 6x + 26. What is x?
  5. 5.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 4 and then take away 11. The answer is 101. What is my number?
  7. 7.11 × ? + 7 = 73
  8. 8.Solve for x: 4(x + 2) = 2x + 28. What is x?
  9. 9.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  10. 10.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 8 and then take away 14. The answer is 34. What is my number?
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  14. 14.Solve for x: 3(x + 3) = x + 39. What is x?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  17. 17.5 × ? + 20 = 35
  18. 18.Isha has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 3 and then add 28. The answer is 97. What is my number?
  20. 20.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 5(x + 7) = x + 47. What is x?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 6 and then add 10. The answer is 112. What is my number?
  24. 24.2 × ? − 3 = 45
  25. 25.I think of a number, multiply it by 7 and then add 1. The answer is 43. What is my number?
  26. 26.5 × ? − 23 = 92
  27. 27.10 × ? − 23 = 107
  28. 28.Solve for x: 7(x + 1) = 3x + 75. What is x?
  29. 29.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  32. 32.6 × ? − 22 = 128
  33. 33.5 × ? + 17 = 142
  34. 34.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  35. 35.6 × ? + 17 = 41
  36. 36.I think of a number, multiply it by 2 and then add 36. The answer is 44. What is my number?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  38. 38.Solve for x: 5(x + 5) = 2x + 31. What is x?
  39. 39.10 × ? − 10 = 180
  40. 40.2 × ? + 19 = 49

Answer key

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

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