Absolute Value Equations
Key Questions

For example,
#x=0# has only one solution#x=0# .
I hope that this was helpful.

Yes, it can; for example,
#x=x# has the solution set#[0,infty)# , which contains infinitely many solutions.
I hope that this was helpful.

For absolute value, remember that the simplified version of the absolute value of a number will always be positive, because absolute value means the distance from 0. So that being said, the absolute value of 78 is 78, because 78 is 78 places away from 0.
Once you know this, the rest is easy. Simplify all the absolute values, then solve normally. There will always be 2 answers, one positive one and one negative one. Make sure you list both on the test.
I hope this helped!
Questions
Linear Inequalities and Absolute Value

Inequality Expressions

Inequalities with Addition and Subtraction

Inequalities with Multiplication and Division

MultiStep Inequalities

Compound Inequalities

Applications with Inequalities

Absolute Value

Absolute Value Equations

Graphs of Absolute Value Equations

Absolute Value Inequalities

Linear Inequalities in Two Variables

Theoretical and Experimental Probability