GED

Comprehensive study of GED covering fundamental concepts and advanced applications.

Mathematical ReasoningReasoning Through Language ArtsScience Fundamentals
Advanced Algebra and GeometryCritical Reading and ArgumentationScientific Investigation and Data Analysis
Math for Daily LifeWorkplace CommunicationScience in Daily Decisions
Time Management on Test DaySmart Guessing and EliminationBreaking Down Complex ProblemsStaying Calm and Focused
Mathematical Reasoni...Reasoning Through La...Science FundamentalsAdvanced Algebra and...Critical Reading and...Scientific Investiga...Math for Daily LifeWorkplace Communicat...Science in Daily Dec...Time Management on T...Smart Guessing and E...Breaking Down Comple...Staying Calm and Foc...
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.

Key Terms

Function
A relationship where each input has exactly one output.
Transformation
A change in position, size, or shape of a figure in geometry.
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Critical Reading and Argumentation