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Simplifying with Substitutions

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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 advanced algebra problems.
  • Demonstrates the technique through practice problems, showing how substituting parts of an equation with a single variable can simplify the solving process.
  • Explains how to solve for the substituted variable (often 'u') and then use those solutions to solve for the original variables in the equation.
  • Provides a step-by-step guide on applying this method to different types of algebraic expressions, including quadratic-like equations and compound fractions.
  • Highlights the importance of this technique for tackling some of the most challenging algebra questions on the GRE.
Chapters
00:05
Introduction to Substitution Technique
01:01
Applying Substitution to Quadratic-like Equations
02:34
Solving Complex Equations Using Substitution
03:34
Efficient Problem-Solving with Substitution in Compound Fractions

Quiz

Algebra, Equations, and Inequalities