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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 573 · 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. 1.2 × ? + 3 = 43
  2. 2.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 3(x + 2) = x + 18. What is x?
  4. 4.I think of a number, multiply it by 5 and then add 38. The answer is 48. What is my number?
  5. 5.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  6. 6.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 6(x + 9) = x + 144. What is x?
  8. 8.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  11. 11.4 × ? + 17 = 77
  12. 12.I think of a number, multiply it by 5 and then add 20. The answer is 155. What is my number?
  13. 13.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 7 and then take away 2. The answer is 187. What is my number?
  15. 15.4 × ? − 29 = 43
  16. 16.Solve for x: 5(x + 9) = 4x + 64. What is x?
  17. 17.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 3 and then add 40. The answer is 61. What is my number?
  19. 19.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 9 and then add 5. The answer is 158. What is my number?
  21. 21.I think of a number, multiply it by 5 and then take away 2. The answer is 138. What is my number?
  22. 22.4 × ? − 23 = 61
  23. 23.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 5 and then add 28. The answer is 138. What is my number?
  26. 26.Solve for x: 3(x + 4) = x + 20. What is x?
  27. 27.I think of a number, multiply it by 7 and then add 10. The answer is 157. What is my number?
  28. 28.Solve for x: 9(x + 1) = 2x + 16. What is x?
  29. 29.Solve for x: 4(x + 4) = x + 64. What is x?
  30. 30.Solve for x: 6(x + 8) = 3x + 60. What is x?
  31. 31.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 8 and then take away 27. The answer is 189. What is my number?
  33. 33.Solve for x: 3(x + 1) = 2x + 12. What is x?
  34. 34.4 × ? − 17 = 15
  35. 35.Aarav has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 8(x + 9) = 3x + 172. What is x?
  37. 37.12 × ? − 9 = 147
  38. 38.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  40. 40.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?

Answer key

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

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