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, 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.
chapters
00:05
introduction to substitution
01:01
simplifying quadratic-like equations
03:35
applying substitution to complex fractions
