Kristi is shopping online for gifts for her friends.

	Average Prices
CD	$\$15.50$
Book	$\$19$
Shirt	$\$32$

Prices for the book varied $\$ 2.25$ from the average. Write the range of average book prices.

Solve the following proportion. If necessary, round to the nearest hundredth.

$$\frac{418}{83}=\frac{b}{7}$$

Factor the polynomial.

$$t^2+2 t-15$$

The height $h$ of a ball bounced off the ground after $t$ seconds is modeled by the equation $h=-16 t^2+28.8 t$.

How many seconds before the ball hits the ground again?

Kelsey and Emma babysit after school to earn extra money. Kelsey made $52 by charging$\$10$ per hour and $\$ 4$ per child. Emma made $\$ 67.50$ by charging $\$ 15$ per hour and $\$ 2.50$ per child.

How many hours and how many children did each babysit?

Solve the following equation by completing the square. Round to the nearest tenth if necessary.

$$x^2+4 x-8=5$$

The height $h$ of a ball bounced off the ground after $t$ seconds is modeled by the equation $h=-16 t^2+28.8 t$.

What is the height of the ball at $1.5$ seconds?

Find the inverse in the following function.

$$f(x)=-3 x+8$$

Kelsey and Emma babysit after school to earn extra money. Kelsey made $52 by charging$\$10$ per hour and $\$ 4$ per child. Emma made $\$ 67.50$ by charging $\$ 15$ per hour and $\$ 2.50$ per child.

Write a system of equations to represent the situation.

Solve the equation.

$$3^{4 x}=3^{x+1}$$

Solve the inequality. Then graph the solution set.

$$|3 p+3|>1$$

Solve the following proportion. If necessary, round to the nearest hundredth.

$$\frac{1.7}{n}=\frac{16}{30}$$

Solve the following exercise.

$$x^2+5 x+6=0$$

The number of cells in a Petri dish can be modeled by the quadratic equation $n=6 t^2-4.5 t+74$, where $t$ is the number of hours the cells have been in the dish. When will there be $200$ cells in the Petri dish?