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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 632 · 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. 3 pens and 6 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 3(x + 6) = 2x + 29. What is x?
  3. 3.Solve for x: 4(x + 8) = x + 65. What is x?
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  6. 6.7 × ? + 3 = 52
  7. 7.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 4 and then take away 30. The answer is 58. What is my number?
  9. 9.I think of a number, multiply it by 7 and then take away 3. The answer is 60. What is my number?
  10. 10.2 × ? − 28 = 16
  11. 11.I think of a number, multiply it by 2 and then add 31. The answer is 35. What is my number?
  12. 12.6 × ? + 26 = 62
  13. 13.I think of a number, multiply it by 3 and then take away 5. The answer is 34. What is my number?
  14. 14.12 × ? − 9 = 291
  15. 15.I think of a number, multiply it by 9 and then take away 15. The answer is 129. What is my number?
  16. 16.I think of a number, multiply it by 8 and then take away 18. The answer is 190. What is my number?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  18. 18.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  21. 21.Manav has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  22. 22.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  23. 23.3 × ? + 27 = 54
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  25. 25.Solve for x: 8(x + 7) = 2x + 116. What is x?
  26. 26.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  27. 27.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 7 and then take away 14. The answer is 14. What is my number?
  29. 29.I think of a number, multiply it by 4 and then take away 22. The answer is 42. What is my number?
  30. 30.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 4(x + 7) = 3x + 44. What is x?
  32. 32.I think of a number, multiply it by 6 and then take away 18. The answer is 6. What is my number?
  33. 33.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  34. 34.Sneha has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 4(x + 5) = 3x + 28. What is x?
  36. 36.11 × ? − 18 = 257
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 4 and then add 4. The answer is 28. What is my number?
  40. 40.Solve for x: 3(x + 8) = 2x + 36. What is x?

Answer key

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

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