MA19.A2.8

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

MA19.A2.8

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

Knowledge

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

Skills

Students are able to:
  • Explain with mathematical and reasoning from the context (when appropriate) why a particular solution is or is not extraneous.

Understanding

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.

Vocabulary

  • Radical
  • Radical Equations
  • Extraneous solutions

Aligned Learning Resources

Applying the Quadratic Formula (Part 1): Algebra 1, Episode 24: Unit 7, Lesson 17 | Illustrative Math
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