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.
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
UP:MA19.A1.8
Vocabulary
- Absolute Value
- Equations
- Extraneous solution
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.
