MA19.A1.8

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.8

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.

Unpacked Content

Knowledge

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

Skills

Students are able to:
  • Accurately rearrange absolute value 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 reasoning from the context (when appropriate) why a particular solution is or is not extraneous.

Understanding

Students understand that:
  • Values which arise from solving absolute value equations may not satisfy the original equation.
  • Values which arise from solving the equations may not exist due to considerations in the context.

Vocabulary

  • Absolute Value
  • Equations
  • Extraneous solution

Aligned Learning Resources

Extraneous Solutions
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