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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 804 · 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.

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  1. 1.Solve for x: 4(x + 4) = 2x + 54. What is x?
  2. 2.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  3. 3.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  5. 5.11 × ? − 24 = 130
  6. 6.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 6 and then add 32. The answer is 62. What is my number?
  8. 8.I think of a number, multiply it by 2 and then take away 2. The answer is 2. What is my number?
  9. 9.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 3(x + 6) = x + 26. What is x?
  11. 11.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  12. 12.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 9(x + 1) = 5x + 37. What is x?
  14. 14.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  15. 15.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 9 and then take away 7. The answer is 119. What is my number?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  18. 18.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 3(x + 5) = x + 25. What is x?
  20. 20.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  21. 21.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹7 more than a pencil. 5 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 4(x + 5) = 3x + 40. What is x?
  24. 24.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 3(x + 2) = x + 12. What is x?
  26. 26.3 × ? + 9 = 15
  27. 27.I think of a number, multiply it by 2 and then add 8. The answer is 60. What is my number?
  28. 28.I think of a number, multiply it by 4 and then take away 33. The answer is 35. What is my number?
  29. 29.A pen costs ₹3 more than a pencil. 5 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  31. 31.7 × ? + 12 = 187
  32. 32.Ananya has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 3 and then add 37. The answer is 61. What is my number?
  34. 34.10 × ? − 14 = 156
  35. 35.3 × ? + 11 = 47
  36. 36.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  37. 37.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 6 and then take away 4. The answer is 44. What is my number?
  39. 39.I think of a number, multiply it by 7 and then add 3. The answer is 101. What is my number?
  40. 40.Solve for x: 7(x + 3) = 2x + 41. What is x?

Answer key

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

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