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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 909 · 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. 1.8 × ? − 7 = 161
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  3. 3.Solve for x: 5(x + 3) = x + 79. What is x?
  4. 4.I think of a number, multiply it by 8 and then add 38. The answer is 118. What is my number?
  5. 5.Sneha has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 6 and then add 14. The answer is 128. What is my number?
  9. 9.I think of a number, multiply it by 7 and then take away 25. The answer is 94. What is my number?
  10. 10.6 × ? + 24 = 54
  11. 11.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 9(x + 4) = 7x + 62. What is x?
  13. 13.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 4 and then add 13. The answer is 21. What is my number?
  17. 17.7 × ? − 22 = 146
  18. 18.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  20. 20.4 × ? − 3 = 89
  21. 21.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 2 and then take away 10. The answer is 26. What is my number?
  23. 23.12 × ? + 3 = 195
  24. 24.I think of a number, multiply it by 8 and then add 10. The answer is 122. What is my number?
  25. 25.8 × ? − 8 = 88
  26. 26.I think of a number, multiply it by 8 and then add 7. The answer is 183. What is my number?
  27. 27.Solve for x: 4(x + 1) = 3x + 8. What is x?
  28. 28.Solve for x: 5(x + 7) = 2x + 86. What is x?
  29. 29.3 × ? + 12 = 84
  30. 30.Solve for x: 4(x + 7) = x + 88. What is x?
  31. 31.4 × ? − 6 = 14
  32. 32.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  34. 34.Solve for x: 7(x + 8) = x + 86. What is x?
  35. 35.Solve for x: 7(x + 3) = 3x + 93. What is x?
  36. 36.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  38. 38.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 2 and then take away 25. The answer is 7. What is my number?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?

Answer key

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

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