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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 706 · 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.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 5 and then add 5. The answer is 60. What is my number?
  3. 3.9 × ? + 9 = 117
  4. 4.11 × ? − 23 = 21
  5. 5.Solve for x: 6(x + 2) = x + 82. What is x?
  6. 6.I think of a number, multiply it by 5 and then add 28. The answer is 143. What is my number?
  7. 7.Solve for x: 8(x + 3) = x + 164. What is x?
  8. 8.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 5 and then add 23. The answer is 93. What is my number?
  10. 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  12. 12.4 × ? + 13 = 21
  13. 13.11 × ? − 15 = 40
  14. 14.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  16. 16.9 × ? − 2 = 34
  17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  18. 18.7 × ? − 15 = 111
  19. 19.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  20. 20.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 5 and then take away 20. The answer is 130. What is my number?
  25. 25.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 6(x + 7) = 3x + 81. What is x?
  27. 27.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  28. 28.8 × ? − 17 = 39
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  30. 30.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 4 and then take away 15. The answer is 21. What is my number?
  33. 33.7 × ? + 21 = 70
  34. 34.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  36. 36.2 × ? − 5 = 15
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then take away 40. The answer is 29. What is my number?
  39. 39.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹83 in all. What does one pencil cost (in ₹)?

Answer key

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

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