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Simplifying with Substitutions

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, emphasizing its application to the most advanced problems.
  • Demonstrates the process of substitution with practice problems, showing how replacing repeated expressions 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, providing a clear method for tackling quadratic-like equations and compound fractions.
  • Highlights the efficiency of this method through examples, including solving for variables in quadratic equations and simplifying complex fractions by breaking them into stages.
Introduction to Substitution
Simplifying Quadratic-like Equations
Applying Substitution to Complex Fractions