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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 259 · 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.Solve for x: 6(x + 7) = 4x + 68. What is x?
  2. 2.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 7(x + 2) = 5x + 48. What is x?
  4. 4.5 × ? − 22 = 8
  5. 5.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 4(x + 2) = 2x + 20. What is x?
  7. 7.2 × ? + 12 = 32
  8. 8.4 × ? − 20 = 8
  9. 9.I think of a number, multiply it by 7 and then add 4. The answer is 172. What is my number?
  10. 10.6 × ? + 9 = 135
  11. 11.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 4 and then take away 25. The answer is 87. What is my number?
  14. 14.Solve for x: 7(x + 2) = 4x + 71. What is x?
  15. 15.Solve for x: 5(x + 4) = 4x + 34. What is x?
  16. 16.7 × ? − 6 = 99
  17. 17.6 × ? + 25 = 73
  18. 18.I think of a number, multiply it by 6 and then take away 28. The answer is 56. What is my number?
  19. 19.Solve for x: 7(x + 6) = 4x + 45. What is x?
  20. 20.I think of a number, multiply it by 9 and then add 14. The answer is 176. What is my number?
  21. 21.I think of a number, multiply it by 4 and then add 3. The answer is 19. What is my number?
  22. 22.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  23. 23.Meera has 29 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  24. 24.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  25. 25.Tara has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 9(x + 9) = 8x + 86. What is x?
  28. 28.I think of a number, multiply it by 6 and then take away 16. The answer is 8. What is my number?
  29. 29.I think of a number, multiply it by 5 and then take away 22. The answer is 3. What is my number?
  30. 30.Solve for x: 5(x + 9) = x + 101. What is x?
  31. 31.I think of a number, multiply it by 8 and then take away 7. The answer is 73. What is my number?
  32. 32.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  34. 34.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  36. 36.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  38. 38.12 × ? − 6 = 198
  39. 39.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  40. 40.7 × ? + 17 = 115

Answer key

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

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