Simplify each expression. Assume all variables are nonzero.

$$8 a^2 b^5\left(-2 a^3 b^2\right)$$

Sketch a graph for the situation and identify the related parent function. Then explain what the reasonable domain and range for the function is and compare it with the domain and range of the parent function. distance traveled after h hours at a speed of 55 mi/h.

Explain whether the relation from A to B is a function, the relation from B to A is a function, or both are functions.

Simplify each expression. Assume all variables are nonzero.

$$\left(\frac{r^2 s}{s^3}\right)^2$$

Simplify each expression. Assume all variables are nonzero.

$$4^0$$

Express each set of numbers using interval notation and set-builder notation.

$x\leq 2$ or $3 < x <5$

Simplify by rationalizing each denominator.

$$-\frac{18}{\sqrt{6}}$$

Explain whether the relation from A to B is a function, the relation from B to A is a function, or both are functions.

Simplify by rationalizing each denominator.

$$\frac{3 \sqrt{27}}{2 \sqrt{6}}$$

Use the advertisement for the following exercise. Write an expression to represent each total cost and then simplify it.

$$\begin{array}{|c|} \hline \begin{array}{} \text{ART SUPPLY SALE} \end{array}\\ \hline \begin{array}{c|c} \text{Colored Pencils} & \text{Sketch Books}\\ ^\$8.88 & ^\$9.96 &&\\ \hline \text{Acrylic Paints}& \text{Paint Brushes}\\ ^\$11.99 & ^\$14.99 &&\\ \end{array}\\ \hline \end{array}$$

cost of $3$ sketch books at a $10 \%$ discotut and $5$ acrylic paints at a $25 \%$ discount

For each equation find the value of $y$ when $x=-3,-2,0,2$, and $3$.

$$y=-2 x^2+5 x-7$$

Simplify each expression.

$$-4 a+2(12-4 a)$$

Simplify each expression. Assume all variables are nonzero.

$$\left(-x^4 y^2\right)^5$$

Simplify each expression. Assume all variables are nonzero.

$$\frac{-24 x^4 y^{-6}}{14 x^{-3} y^3}$$