LINR 2 | Lesson 1 | Try This! (Absolute Value)

Try This!

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.

Go to Practice (Absolute Value)