Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solutions or infinitely many solutions.

$3 x=-18+2 y$

$$x+3 y=4$$

Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary.

$$4 n^2-20 n=0$$

Solve each equation. State any extraneous solutions.

$$\frac{3 x+2}{x}+\frac{x+3}{x}=5$$

Use the table that shows a probability distribution for the number of customers that enter a particular store during a business day.

$$\begin{array}{|l|c|c|c|c|c|} \hline \footnotesize \text{Number of Customers} & 0-500 & 501-1000 & 1001-1500 & 1501-2000 & 2000-2500 \\ \hline \footnotesize \text{Probability} & 0.05 & 0.25 & 0.35 & 0.30 & 0.05 \\ \hline \end{array}$$

What is the probability that fewer than $1001$ customers enter in a day?

Simplify.

$$\frac{\sqrt{72}}{\sqrt{6}}$$

Solve each inequality. Check your solution, and then graph it on a number line.

$$2 x>x-3$$

Solve each open sentence. Then graph the solution set.

$$|14-w| \geq 20$$

Find each quotient.

$$\left(y^2-6 y-25\right) \div(y+7)$$

Graph each system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.

$$y=-3 x$$

$$4 x+y=2$$

Solve each inequality. Check your solution.

$$-2 x+1<16-x$$

State whether each percent of change is a percent of increase or a percent of decrease. Then find each percent of change. Round to the nearest whole percent.

original: $35 \ \mathrm{mph}$

new: $65 \ \mathrm{mph}$

Evaluate each expression using properties of numbers.

$$5 \frac{6}{7}+15+4 \frac{1}{7}+25$$

Solve each equation by graphing.

$$-y^2-3 y+10=0$$

Solve each compound inequality. Then graph the solution set.

$$-9<2 z+7<10$$