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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 445 · 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 7 and then add 37. The answer is 79. What is my number?
  2. 2.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  5. 5.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 6(x + 1) = 2x + 42. What is x?
  8. 8.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 2 and then add 2. The answer is 52. What is my number?
  10. 10.10 × ? − 16 = 4
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  12. 12.6 × ? − 9 = 9
  13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 4 and then take away 22. The answer is 30. What is my number?
  15. 15.6 × ? − 7 = 131
  16. 16.Zoya has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  18. 18.7 × ? + 10 = 150
  19. 19.Zoya has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  21. 21.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 2 and then add 34. The answer is 50. What is my number?
  23. 23.I think of a number, multiply it by 8 and then take away 3. The answer is 221. What is my number?
  24. 24.Ananya has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 9 and then add 7. The answer is 196. What is my number?
  26. 26.Solve for x: 9(x + 6) = 8x + 68. What is x?
  27. 27.I think of a number, multiply it by 8 and then take away 21. The answer is 3. What is my number?
  28. 28.Solve for x: 3(x + 7) = x + 39. What is x?
  29. 29.Solve for x: 3(x + 1) = x + 19. What is x?
  30. 30.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  31. 31.Vivaan has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 8 and then take away 30. The answer is 82. What is my number?
  34. 34.Solve for x: 7(x + 7) = 2x + 54. What is x?
  35. 35.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  36. 36.8 × ? − 14 = 186
  37. 37.I think of a number, multiply it by 2 and then add 21. The answer is 29. What is my number?
  38. 38.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 3(x + 1) = 2x + 16. What is x?
  40. 40.10 × ? − 18 = 202

Answer key

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

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