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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 269 · 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: 7(x + 2) = 5x + 38. What is x?
  2. 2.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 4(x + 2) = 3x + 22. What is x?
  4. 4.Solve for x: 9(x + 5) = 7x + 83. What is x?
  5. 5.Solve for x: 6(x + 8) = x + 68. What is x?
  6. 6.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  8. 8.9 × ? − 24 = 138
  9. 9.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 6(x + 1) = 4x + 26. What is x?
  11. 11.I think of a number, multiply it by 8 and then take away 17. The answer is 159. What is my number?
  12. 12.Farhan has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 4(x + 7) = x + 34. What is x?
  15. 15.Solve for x: 6(x + 9) = x + 114. What is x?
  16. 16.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 4 and then add 17. The answer is 33. What is my number?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  20. 20.Solve for x: 7(x + 2) = 6x + 18. What is x?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  22. 22.Solve for x: 7(x + 5) = 2x + 50. What is x?
  23. 23.I think of a number, multiply it by 6 and then add 28. The answer is 100. What is my number?
  24. 24.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 2 and then add 39. The answer is 75. What is my number?
  26. 26.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 7(x + 4) = 3x + 60. What is x?
  28. 28.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  29. 29.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  30. 30.2 × ? + 18 = 68
  31. 31.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  33. 33.7 × ? − 20 = 99
  34. 34.Karan has 21 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 9 and then take away 21. The answer is 132. What is my number?
  36. 36.3 × ? + 21 = 54
  37. 37.3 × ? + 8 = 38
  38. 38.I think of a number, multiply it by 2 and then add 17. The answer is 21. What is my number?
  39. 39.6 × ? − 28 = 110
  40. 40.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?

Answer key

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

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