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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 524 · 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.Ishaan has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  2. 2.9 × ? − 10 = 143
  3. 3.Solve for x: 9(x + 2) = x + 34. What is x?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  5. 5.Solve for x: 8(x + 1) = 6x + 32. What is x?
  6. 6.4 × ? + 6 = 38
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 6 and then add 14. The answer is 128. What is my number?
  12. 12.3 × ? − 8 = 4
  13. 13.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 5(x + 8) = x + 100. What is x?
  15. 15.Solve for x: 7(x + 8) = 5x + 62. What is x?
  16. 16.Solve for x: 3(x + 5) = 2x + 18. What is x?
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  18. 18.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 6(x + 3) = 2x + 74. What is x?
  20. 20.10 × ? − 27 = 193
  21. 21.Saanvi has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 7(x + 6) = 5x + 70. What is x?
  23. 23.I think of a number, multiply it by 2 and then add 31. The answer is 61. What is my number?
  24. 24.3 × ? + 28 = 97
  25. 25.Solve for x: 6(x + 2) = 2x + 76. What is x?
  26. 26.Solve for x: 9(x + 2) = 7x + 26. What is x?
  27. 27.I think of a number, multiply it by 6 and then add 28. The answer is 58. What is my number?
  28. 28.Solve for x: 6(x + 2) = 3x + 27. What is x?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  30. 30.Solve for x: 5(x + 6) = 2x + 78. What is x?
  31. 31.I think of a number, multiply it by 9 and then add 17. The answer is 89. What is my number?
  32. 32.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 4 and then add 19. The answer is 79. What is my number?
  34. 34.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  36. 36.Solve for x: 9(x + 8) = 4x + 152. What is x?
  37. 37.Solve for x: 3(x + 7) = 2x + 40. What is x?
  38. 38.I think of a number, multiply it by 4 and then add 27. The answer is 99. What is my number?
  39. 39.I think of a number, multiply it by 8 and then add 22. The answer is 62. What is my number?
  40. 40.I think of a number, multiply it by 3 and then add 17. The answer is 80. What is my number?

Answer key

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

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