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simplifying with substitutions

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summary
the content provides advanced strategies for simplifying complex algebra problems on the gmat exam, focusing on the use of substitutions to reduce problem complexity and facilitate easier solutions.
  • introduces a sophisticated trick involving right-brain pattern matching for simplifying advanced algebra problems.
  • demonstrates the technique through practice problems, highlighting the process of substituting complex expressions with a single variable to simplify equations.
  • explains the method of solving for the substituted variable and then using those solutions to solve for the original variables.
  • shows how to apply the substitution method to different types of algebraic expressions, including quadratic equations and compound fractions.
  • provides step-by-step guidance on solving complex problems efficiently by breaking them down into simpler parts.
chapters
00:00
introduction to substitution technique
01:01
simplifying quadratic equations
03:34
applying substitution to complex expressions

quiz

algebra, equations, and inequalities