Learn – Algebra foundations – Absolute values

Problem set 1

$|x| = 100$ . What are the values of $x$ ?
$|x| = 0$ . What are the values of $x$ ?
$|t| - 5 = 20$ . What are the values of $t$ ?
$|x| + 25 = 20$ . What are the values of $x$ ?

Problem set 2

$2|x| - 5 = 15$ . What are the values of $x$ ?
$3|z| + 25 = -2|z| + 10$ . What are the values of $z$ ?

Problem set 3

$|x| < 5$ . Show on number line the values of $x$ .
$|x| < -5$ . Show on number line the values of $x$ .
$|x| \ge 5$ . Show on number line the values of $x$ .
$|x| \ge 0$ . Show on number line the values of $x$ .
$|x| \ge -5$ . Show on number line the values of $x$ .

Problem set 4

$0 \le |x| \le 5$ . Show on number line the values of $x$ .
$0 < |x| \le 5$ . Show on number line the values of $x$ .
$2 < |x| < 5$ . Show on number line the values of $x$ .
$10 \le |x| < 5$ . Show on number line the values of $x$ .