Absolute Value Equations and Inequalities

Solve each equation:

$$-\left|4-8x\right|=12$$

Solve each equation $$\frac{1}{4}\left|4x+7\right|=8x+16$$ (a)   ​ ​ ​

How many solutions does the equation $$\left|4x+7\right|=-3$$ have?

An extraneous solution is a solution that appears to be true but when you plug it into the equation you get a ​ (a)   solution.

Match the following. Describe the Transformation.

Use FOIL:

$$\left(x+1\right)\left(x-3\right)$$

Solve the inequality.

$$\left|-3x+1\right|\ge7$$

What is the solution of

$$\left|2x-4\right|=16\ ?$$

Match the following

The following notation $$\left(-∞,∞\right)$$ means All (a)   Numbers