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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 989 · 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 9 and then add 22. The answer is 211. What is my number?
  2. 2.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  5. 5.Solve for x: 8(x + 5) = 3x + 110. What is x?
  6. 6.Solve for x: 3(x + 9) = x + 35. What is x?
  7. 7.4 × ? + 9 = 53
  8. 8.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 4 and then add 35. The answer is 103. What is my number?
  10. 10.Solve for x: 3(x + 3) = 2x + 10. What is x?
  11. 11.Solve for x: 6(x + 5) = 3x + 45. What is x?
  12. 12.I think of a number, multiply it by 9 and then add 2. The answer is 128. What is my number?
  13. 13.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  14. 14.8 × ? − 20 = 180
  15. 15.I think of a number, multiply it by 6 and then take away 28. The answer is 20. What is my number?
  16. 16.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  18. 18.8 × ? − 13 = 83
  19. 19.I think of a number, multiply it by 3 and then take away 7. The answer is 38. What is my number?
  20. 20.Solve for x: 7(x + 1) = 3x + 75. What is x?
  21. 21.11 × ? − 5 = 149
  22. 22.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 3 and then add 34. The answer is 82. What is my number?
  24. 24.Solve for x: 3(x + 2) = x + 28. What is x?
  25. 25.A pen costs ₹15 more than a pencil. 2 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 2 and then add 27. The answer is 63. What is my number?
  27. 27.8 × ? − 24 = 160
  28. 28.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹276 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  32. 32.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 8 and then add 10. The answer is 146. What is my number?
  34. 34.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 8(x + 2) = 5x + 22. What is x?
  36. 36.Solve for x: 6(x + 3) = x + 98. What is x?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  38. 38.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 9 and then take away 18. The answer is 9. What is my number?
  40. 40.11 × ? − 24 = 185

Answer key

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

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