## Simplifying with Substitutions

Summary

The content provides advanced strategies for simplifying complex algebra problems on the GRE by using substitutions to reduce equations to more manageable forms.

- Introduces a sophisticated trick involving right-brain pattern matching for simplifying hard algebra problems, particularly useful for the most advanced problems on the test.
- Demonstrates the technique through practice problems, showing how substituting a repeated expression with a single variable can simplify the equation solving process.
- Explains how to solve for the substituted variable and then use those solutions to solve for the original variables, effectively reducing the complexity of the problem.
- Offers a step-by-step approach for dealing with compound fractions and algebraic expressions by breaking them down into simpler parts and solving sequentially.
- Highlights the importance of careful substitution and back-substitution to find the correct solutions to the original algebraic equations.

Chapters

00:05

Simplifying Advanced Algebra Problems

01:01

Substitution Technique for Quadratic-like Equations

02:42

Applying Substitution to Solve Complex Equations

03:44

Strategic Approach to Compound Fractions