1.Solve the quadratic equation by factoring.

w² _{+ 14w + 48 = 0}

_2.

Graph the equation.

y =2x - 8

3.

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the pointsrises, falls, ishorizontal, or is vertical.

(7,0) and (0,3)

Select the correct choice below and fill in the answer box within your choice.

A.

The slope is

. (Type an integer or afraction.)

B.

The slope is undefined.

Indicate whether the line through the pointsrises, falls, ishorizontal, or is vertical.

A.

The line is horizontal.

B.

Thelinefallsfromlefttoright.

C.

The line is vertical.

4.

Solve the system by the method of your choice.

x = 1+5y

x5y = - 9

The solution set is: (Type an orderedpair.)

5.The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. More than how many radios must be produced and sold for the company to have aprofit?

Radios Produced and Sold

0

500

1000

1500

2000

0

5,000

10,000

15,000

20,000

25,000

30,000

35,000

40,000

45,000

50,000

x

y

C(x)=1,500+37x

R(x)=40

The company must produce and sell more than ____ radios to have a profit.

6.

Graph the solution set of the following system of inequalities.

y > 3x6

y < x - 1

7.A patient is not allowed to have more than 324 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 162 milligrams of cholesterol. Each ounce of meat provides 108 milligrams of cholesterol. Completes parts(a) through(c) below.

a. Write an inequality that describes thepatient's dietary restrictions for x eggs and y ounces of meat.

The inequality is _____

less than or equals

greater than

>

less than

<

greater than or equals

324.

(Use integers or decimals for any numbers in theexpression.)

b. Graph the inequality. Because x and y must bepositive, limit the graph to quadrant I only. Choose the correct graph below.

A.

0

5

0

5

x

y

A coordinate system has a horizontal x-axis labeled from 0 to 5 in increments of 1 and a vertical y-axis labeled from 0 to 5 in increments of 1. The graph consists of a dashed line segment falling from left to right. The line segment starts at (0, 3) and ends at (2, 0). The region in the first quadrant above the line segment is shaded.

B.

0

5

0

5

x

y

A coordinate system has a horizontal x-axis labeled from 0 to 5 in increments of 1 and a vertical y-axis labeled from 0 to 5 in increments of 1. The graph consists of a solid line segment falling from left to right. The line segment starts at (0, 3) and ends at (2, 0). The region in the first quadrant below the line segment is shaded.

C.

0

5

0

5

x

y

A coordinate system has a horizontal x-axis labeled from 0 to 5 in increments of 1 and a vertical y-axis labeled from 0 to 5 in increments of 1. The graph consists of a dashed line segment falling from left to right. The line segment starts at (0, 3) and ends at (2, 0). The region in the first quadrant below the line segment is shaded.

D.

0

5

0

5

x

y

A coordinate system has a horizontal x-axis labeled from 0 to 5 in increments of 1 and a vertical y-axis labeled from 0 to 5 in increments of 1. The graph consists of a solid line segment falling from left to right. The line segment starts at (0, 3) and ends at (2, 0). The region in the first quadrant above the line segment is shaded.

c. Select an ordered pair satisfying the inequality. What are its coordinates and what do they represent in thissituation? Choose the correct answer below.

A.

The point can be (3,2). The point (3,2) means that a patient had 3 eggs and 2 ounces of meat during a day. This is within a diet of eggs and meat.

B.

The point can be (1,1). The point (1,1) means that a patient had 1 egg and 1 ounce of meat during a day. This is within a diet of eggs and meat.

C.

The point can be (4,3). The point (4,3) means that a patient had 4 eggs and 3 ounces of meat during a day. This is within a diet of eggs and meat.

D.

The point can be (1,4). The point (1,4) means that a patient had 1 egg and 4 ounces of meat during a day. This is within a diet of eggs and meat.