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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 244 · 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 + 6) = 2x + 26. What is x?
  2. 2.Solve for x: 4(x + 2) = 2x + 32. What is x?
  3. 3.I think of a number, multiply it by 7 and then take away 15. The answer is 62. What is my number?
  4. 4.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 5 and then add 27. The answer is 107. What is my number?
  7. 7.Solve for x: 5(x + 5) = x + 69. What is x?
  8. 8.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 5(x + 4) = 4x + 36. What is x?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 2 and then add 40. The answer is 78. What is my number?
  14. 14.I think of a number, multiply it by 9 and then add 10. The answer is 244. What is my number?
  15. 15.Solve for x: 8(x + 2) = 5x + 25. What is x?
  16. 16.Ishaan has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 3 and then add 32. The answer is 62. What is my number?
  18. 18.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  19. 19.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  20. 20.4 × ? + 28 = 72
  21. 21.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 4 and then add 26. The answer is 42. What is my number?
  24. 24.2 × ? + 10 = 28
  25. 25.2 × ? + 20 = 28
  26. 26.9 × ? − 22 = 113
  27. 27.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 5 and then take away 25. The answer is 100. What is my number?
  29. 29.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 5(x + 2) = 2x + 46. What is x?
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  32. 32.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 8(x + 4) = 3x + 52. What is x?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  39. 39.Solve for x: 3(x + 1) = x + 17. What is x?
  40. 40.9 × ? + 4 = 175

Answer key

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

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