# Absolute Value

Give the values $$a$$ and $$-a$$, each is the same distance $$a$$ from zero.  The distance from zero is the absolute value of the number.

In general:   $$| a | = a$$, if $$a ≥ 0$$

$$|a| = -a$$ if $$a < 0$$, note that -a represents a positive number

Try this:

1. If $$|x | = 5$$, what value(s) for $$x$$ make the statement true?
2. If $$|x-3 | = 5$$, what value(s) for $$x$$ make the statement true?
3. If $$|2x-3 | = 5$$, what value(s) for $$x$$ make the statement true?
4. If $$|x| = -5$$, what value(s) for $$x$$ make the statement true?

Check solutions here.