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Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics


Explain why extraneous solutions to an equation may arise and how to check to be sure that a candidate solution satisfies an equation. Extend to radical equations.

Unpacked Content


Students know:

  • Algebraic rules for manipulating radical equations.
  • Conditions under which a solution is considered extraneous.


Students are able to:

  • <Accurately rearrange radical equations to produce a set of values to test against the conditions of the original situation and equation, and determine whether or not the value is a solution.
  • Explain with mathematical and reasoning from the context (when appropriate) why a particular solution is or is not extraneous.


Students understand that:

  • Values which arise from solving equations may not satisfy the original equation.
  • Values which arise from solving the equations may not exist due to considerations in the context.


  • Radical
  • Radical Equations
  • Extraneous solutions