The Modulus Function

Draw the graph of $y=x^2-5\left|x\right|+6.$ Name the equation of the line of symmetry of the curve.

Draw the graph of $y=x^2-5\left|x\right|+6.$

Solve the equation $x^2-5\left|x\right|+6=0.$

Solve the equation $|3x-2y-11|+2\sqrt{31-8x+5y}=0.$

Solve the equation $|2x+1|+|2x-1|=3.$

Solve the equation $5|x-1{|}^2+9|x-1|-2=0.$

Solve the simultaneous equations.
$3x+y=0$
$y=\left|2x^2-5\right|$

Solve the simultaneous equations.
$x+2y=8$
$|x+2|+y=6$

Solve.
$\left|x^2-7x+6\right|=6-x$

Solve.
$\left|2x^2-5x\right|=4-x$

Solve.
$\left|x^2-3\right|=2x+1$

Solve.
$\left|x^2+2x\right|=x+2$

Solve.
$\left|5-x^2\right|=3-x$

Solve.
$\left|x^2-2\right|=7$

Solve.
$3|2x-1|=\left|\frac{1}{2}x-3\right|$

Solve.
$|x-5|=2|x+1|$

Solve.
$|3x+5|=|1+2x|$

Solve.
$|2x-5|=|1-x|$

Solve.
$|3-2x|=\left|3x\right|$

Solve.
$|2x+1|=\left|x\right|$