GED
Comprehensive study of GED covering fundamental concepts and advanced applications.
Advanced Topics
Advanced Algebra and Geometry
Diving Deeper into Algebra and Geometry
This chapter expands your math toolkit. You'll tackle complex equations, work with functions, and explore geometry concepts like angles, transformations, and the Pythagorean theorem.
Key Concepts
- Systems of equations
- Quadratic equations and their graphs
- Functions and their applications
- Transformations: reflections, rotations, translations, dilations
- Pythagorean theorem for right triangles
Real-World Applications
- Planning a building project using geometric measurements
- Using equations to model business profits
Key Formula
\[a^2 + b^2 = c^2\]
Examples
Graphing \( y = x^2 - 4x + 3 \ ) to find its vertex
Using the Pythagorean theorem to calculate the length of a ladder needed to reach a certain height
In a Nutshell
Build advanced math skills for higher-level problem-solving.