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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 488 · 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: 8(x + 7) = 4x + 104. What is x?
  2. 2.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 6 and then add 5. The answer is 107. What is my number?
  4. 4.Solve for x: 7(x + 9) = 5x + 87. What is x?
  5. 5.I think of a number, multiply it by 4 and then add 12. The answer is 28. What is my number?
  6. 6.I think of a number, multiply it by 2 and then add 24. The answer is 58. What is my number?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  8. 8.5 × ? − 27 = 53
  9. 9.5 × ? − 19 = 16
  10. 10.Solve for x: 9(x + 4) = 4x + 131. What is x?
  11. 11.Solve for x: 9(x + 9) = 5x + 89. What is x?
  12. 12.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  14. 14.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  16. 16.Solve for x: 3(x + 6) = x + 58. What is x?
  17. 17.11 × ? + 24 = 178
  18. 18.I think of a number, multiply it by 8 and then take away 9. The answer is 95. What is my number?
  19. 19.6 × ? − 1 = 89
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  21. 21.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 3 and then add 25. The answer is 73. What is my number?
  23. 23.Nisha has 15 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  24. 24.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹141 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 7 and then add 14. The answer is 35. What is my number?
  26. 26.I think of a number, multiply it by 6 and then take away 17. The answer is 43. What is my number?
  27. 27.I think of a number, multiply it by 6 and then add 11. The answer is 131. What is my number?
  28. 28.I think of a number, multiply it by 6 and then add 33. The answer is 45. What is my number?
  29. 29.Solve for x: 9(x + 5) = 2x + 108. What is x?
  30. 30.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  32. 32.Solve for x: 8(x + 5) = 7x + 46. What is x?
  33. 33.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 4(x + 2) = 3x + 15. What is x?
  35. 35.I think of a number, multiply it by 3 and then add 25. The answer is 43. What is my number?
  36. 36.Solve for x: 8(x + 2) = 3x + 56. What is x?
  37. 37.10 × ? + 2 = 32
  38. 38.A pen costs ₹13 more than a pencil. 6 pens and 3 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 4 and then add 3. The answer is 27. What is my number?
  40. 40.I think of a number, multiply it by 8 and then add 10. The answer is 130. What is my number?

Answer key

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

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