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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 764 · 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: 9(x + 9) = 2x + 165. What is x?
  2. 2.I think of a number, multiply it by 4 and then add 25. The answer is 49. What is my number?
  3. 3.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 3(x + 7) = 2x + 25. What is x?
  5. 5.4 × ? − 3 = 65
  6. 6.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹11 more than a pencil. 2 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 5(x + 7) = x + 91. What is x?
  11. 11.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  12. 12.11 × ? − 21 = 188
  13. 13.Vivaan has 25 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 4(x + 5) = 2x + 36. What is x?
  15. 15.I think of a number, multiply it by 8 and then take away 3. The answer is 53. What is my number?
  16. 16.Solve for x: 6(x + 8) = x + 83. What is x?
  17. 17.I think of a number, multiply it by 9 and then add 24. The answer is 213. What is my number?
  18. 18.Solve for x: 7(x + 3) = 5x + 47. What is x?
  19. 19.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 8 and then take away 14. The answer is 10. What is my number?
  22. 22.6 × ? − 23 = 13
  23. 23.Aditya has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 5 and then add 18. The answer is 113. What is my number?
  25. 25.I think of a number, multiply it by 9 and then take away 13. The answer is 176. What is my number?
  26. 26.I think of a number, multiply it by 6 and then add 20. The answer is 176. What is my number?
  27. 27.2 × ? − 1 = 31
  28. 28.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  30. 30.4 × ? − 6 = 46
  31. 31.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  33. 33.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 4 and then add 3. The answer is 115. What is my number?
  35. 35.I think of a number, multiply it by 6 and then take away 11. The answer is 121. What is my number?
  36. 36.4 × ? + 27 = 51
  37. 37.4 × ? − 5 = 83
  38. 38.Solve for x: 6(x + 9) = 5x + 72. What is x?
  39. 39.I think of a number, multiply it by 8 and then take away 6. The answer is 114. What is my number?
  40. 40.Solve for x: 6(x + 9) = 3x + 75. What is x?

Answer key

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

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