Algebra II Sem 1

Points Possible:

50

Name:

Date:

Answer the following questions using what you've learned from this unit. Write your responses in the space provided.

1.Find the equation of the line that is modeled by the values in the table shown below.

x

2

4

6

8

10

12

14

y

1

6

11

16

21

26

31

Part I:Determine the slope of the line. Show the work you did to find the slope.(3 points)

Part II:Using the slope you found in Part I and the values in the table, write the equation of the linear function represented by the table. Write your equation in point-slope form.(3 points)

2.For each function shown, answer the questions.

Part I:Given the function,

A.What restriction is there on the value under the square root symbol? In other words, what can't you do with a square root expression?(1 point)

B.What is the domain of this function?(2 points)

Part II:

For the system of equations shown below,

A.What are the two slopes of these equations?(1 point)

B.Based on the slopes of the equations, how many solutions does this system have?(1 point)

3.For, substitute 3 forxin the function to solve forf(3).(2 points)

4.Graph the area bounded by,,, and.

Part I:Graph the area bounded byand. Shade the region that satisfies both inequalities.(4 points)

\f\f\f