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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 974 · 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 8 and then add 11. The answer is 131. What is my number?
  2. 2.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 6 and then take away 23. The answer is 145. What is my number?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  6. 6.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 3(x + 3) = x + 35. What is x?
  9. 9.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  11. 11.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 4 and then add 34. The answer is 94. What is my number?
  13. 13.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 6(x + 5) = 3x + 42. What is x?
  16. 16.Solve for x: 5(x + 7) = x + 79. What is x?
  17. 17.Karan has 22 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  18. 18.10 × ? − 27 = 173
  19. 19.I think of a number, multiply it by 6 and then take away 36. The answer is 144. What is my number?
  20. 20.Solve for x: 8(x + 4) = 3x + 127. What is x?
  21. 21.7 × ? + 26 = 40
  22. 22.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 7(x + 9) = x + 159. What is x?
  24. 24.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 3(x + 1) = x + 41. What is x?
  26. 26.I think of a number, multiply it by 3 and then add 4. The answer is 28. What is my number?
  27. 27.4 × ? + 11 = 71
  28. 28.I think of a number, multiply it by 7 and then add 35. The answer is 126. What is my number?
  29. 29.I think of a number, multiply it by 6 and then add 27. The answer is 195. What is my number?
  30. 30.Solve for x: 9(x + 4) = 4x + 71. What is x?
  31. 31.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  33. 33.Solve for x: 9(x + 5) = 7x + 79. What is x?
  34. 34.I think of a number, multiply it by 4 and then add 8. The answer is 40. What is my number?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 8 and then add 22. The answer is 246. What is my number?
  37. 37.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  38. 38.Zoya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  39. 39.2 × ? + 25 = 35
  40. 40.Solve for x: 3(x + 4) = x + 24. What is x?

Answer key

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

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