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Absolute Values

Module 9: Absolute Value Equations and Inequalities

If a is positive, then |X| is X= _a or X= _ a + , -
There are always ___ solutions to a problem when a is positive Two
If there is a variable in the absolute value expression, you must first _____ the absolute value expression (between the bars) Isolate
For an equation where an isolated absolute value equals a negative, there will be ___ solution No
Two absolute value expressions are equal when the absolute value expressions are ______ of each other Equal to or opposite
If solving for |X|=0, it will always be ___ because which numbers distance from 0 is 0 units? 0
If a is _____, then the |X|˂a is equal to –a ˂ X˂ a, as well as ≤ Positive
Before using an absolute value inequality property, you want to ____ the absolute value expression onto one side Isolate
If a is a ___ number, then |X|˃a is equivalent to X˂-a or X˃a as well as ≥ Positive
If the solution set includes numbers from the left on the number line, and numbers right on the number line, but does not include numbers between the others (such that there is a gap when you draw the number lines) then use the ___ sign to connect the set Union
Created by: KristinaJaroh