Introduction to Algebra

Algebra as a Concept

• Algebra is about solving puzzles.
• Example Puzzle: This plus two equals five.
  • Solution: The number is three since 3 + 2 = 5.
• Introducing Variables:
  • Example: x + 2 = 5.
  • Variables are letters used in place of unknown numbers.
  • Terms: Variables (also known as the unknown) represent values that are not known to us.

Why Use Variables?

• Variables are convenient as compared to using shapes or other symbols.
  • Example: x + y + z + 4 = 7 is easier to understand than using different shapes.

Real-World Application

• Variables help to simplify and shorten problem descriptions.
• Example Problem: A bully takes 5 chocolates from a friend who is left with 7 chocolates.
  • Assume the friend had x chocolates.
  • Equation: x - 5 = 7.
  • Simplified problem-solving: Instead of a 40-word problem, we use algebra to write it concisely.

Conclusion

• Algebra simplifies complex problems and makes solving them more straightforward.