MA19.8A.10

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.10

Explain why extraneous solutions to an equation involving absolute values may arise and how to check to be sure that a candidate solution satisfies an equation. [Algebra I with Probability, 8]

Unpacked Content

Knowledge

Students know:
  • Absolute value cannot equal a negative number.
  • Substitution techniques to determine true or false statements.

Skills

Students are able to:
  • solve absolute value equations.
  • Substitute possible solutions into original equations to determine if it is in fact a solution or not.

Understanding

Students understand that:
  • That not all solutions generated algebraically actually satisfy the original absolute value equation.

Vocabulary

  • Extraneous solution
  • Absolute value
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