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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 446 · 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 + 6) = 2x + 132. What is x?
  2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  3. 3.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 4(x + 8) = 3x + 50. What is x?
  6. 6.Solve for x: 9(x + 2) = 2x + 25. What is x?
  7. 7.2 × ? + 6 = 10
  8. 8.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 7 and then add 33. The answer is 103. What is my number?
  10. 10.9 × ? − 28 = 17
  11. 11.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 4 and then add 14. The answer is 22. What is my number?
  13. 13.I think of a number, multiply it by 3 and then add 25. The answer is 58. What is my number?
  14. 14.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 3 and then take away 3. The answer is 42. What is my number?
  17. 17.I think of a number, multiply it by 4 and then take away 40. The answer is 4. What is my number?
  18. 18.Kavya has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 8(x + 2) = 5x + 34. What is x?
  20. 20.Solve for x: 8(x + 6) = 2x + 138. What is x?
  21. 21.Solve for x: 4(x + 4) = x + 34. What is x?
  22. 22.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 8(x + 9) = 7x + 84. What is x?
  24. 24.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  25. 25.5 × ? − 1 = 59
  26. 26.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  29. 29.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  31. 31.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 6(x + 5) = 2x + 102. What is x?
  33. 33.I think of a number, multiply it by 9 and then take away 37. The answer is 44. What is my number?
  34. 34.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  35. 35.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  37. 37.3 × ? + 28 = 55
  38. 38.4 × ? − 13 = 51
  39. 39.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹150 in all. What does one pencil cost (in ₹)?

Answer key

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

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