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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 348 · 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.I think of a number, multiply it by 4 and then take away 14. The answer is 46. What is my number?
  2. 2.Solve for x: 9(x + 3) = 7x + 29. What is x?
  3. 3.4 × ? − 17 = 3
  4. 4.Solve for x: 6(x + 1) = 4x + 24. What is x?
  5. 5.4 × ? + 7 = 71
  6. 6.I think of a number, multiply it by 7 and then take away 4. The answer is 192. What is my number?
  7. 7.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 6(x + 2) = 4x + 26. What is x?
  10. 10.I think of a number, multiply it by 5 and then add 31. The answer is 101. What is my number?
  11. 11.3 × ? + 10 = 40
  12. 12.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  14. 14.7 × ? + 6 = 174
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  16. 16.Solve for x: 4(x + 2) = x + 20. What is x?
  17. 17.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  19. 19.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 9 and then add 12. The answer is 138. What is my number?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  22. 22.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 8(x + 8) = 4x + 80. What is x?
  24. 24.I think of a number, multiply it by 6 and then add 9. The answer is 21. What is my number?
  25. 25.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  27. 27.8 × ? + 24 = 56
  28. 28.10 × ? − 2 = 18
  29. 29.Tara has 28 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 5 and then take away 37. The answer is 93. What is my number?
  31. 31.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  32. 32.2 × ? − 3 = 25
  33. 33.Solve for x: 5(x + 8) = 4x + 43. What is x?
  34. 34.Solve for x: 7(x + 1) = 3x + 11. What is x?
  35. 35.I think of a number, multiply it by 7 and then take away 11. The answer is 80. What is my number?
  36. 36.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 5 and then add 25. The answer is 90. What is my number?
  40. 40.7 × ? + 10 = 115

Answer key

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

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