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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 789 · 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. 1.12 × ? + 23 = 47
  2. 2.5 × ? + 3 = 33
  3. 3.I think of a number, multiply it by 7 and then add 39. The answer is 214. What is my number?
  4. 4.I think of a number, multiply it by 6 and then add 29. The answer is 125. What is my number?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  6. 6.Solve for x: 4(x + 1) = 2x + 20. What is x?
  7. 7.7 × ? + 30 = 170
  8. 8.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 4(x + 1) = 2x + 16. What is x?
  10. 10.Solve for x: 3(x + 5) = x + 41. What is x?
  11. 11.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 6 and then take away 15. The answer is 153. What is my number?
  13. 13.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 3 and then take away 5. The answer is 4. What is my number?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  16. 16.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 3(x + 7) = x + 45. What is x?
  18. 18.6 × ? − 8 = 28
  19. 19.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 2 and then take away 39. The answer is 15. What is my number?
  21. 21.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  22. 22.Kavya has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 3 and then add 17. The answer is 26. What is my number?
  24. 24.Solve for x: 7(x + 8) = 2x + 146. What is x?
  25. 25.9 × ? + 4 = 130
  26. 26.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 3(x + 9) = 2x + 36. What is x?
  28. 28.Solve for x: 6(x + 7) = x + 77. What is x?
  29. 29.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 3 and then add 37. The answer is 97. What is my number?
  32. 32.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  33. 33.11 × ? + 20 = 207
  34. 34.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  35. 35.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹11 more than a pencil. 5 pens and 2 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  38. 38.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 6(x + 2) = x + 32. What is x?
  40. 40.10 × ? − 13 = 107

Answer key

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

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