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mike mcgarry
lesson by mike mcgarry
magoosh expert
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algebra, equations, and inequalities
summary
the essence of basic equation solving in algebra involves isolating the variable by undoing the order of operations, a process that requires both mathematical legality and strategic thinking.
  • introduction to basic equation solving emphasizes the transition from manipulating algebraic expressions to isolating variables to find their unknown values.
  • the fundamental principle in equation solving is performing the same mathematical operation on both sides of the equation to maintain equality.
  • strategic steps in solving equations involve reversing the order of operations applied to the variable, starting with addition or subtraction before multiplication or division.
  • when variables appear on both sides of the equation, the initial strategy involves moving all terms involving the variable to one side and constants to the other.
  • the content focuses on linear equations, where the highest power of x is 1, highlighting the difference in rules when dealing with non-linear equations.
chapters
00:11
introduction to basic equation solving
00:56
fundamental principles and strategies
01:41
solving linear equations with variables on one side
04:36
solving equations with variables on both sides
05:36
conclusion and practice problems