Refer to the graph.
K
F
J
1.
2.
Write hexagon GFEKJH as a matrix.
What are the dimensions of your matrix?
E
G H
The matrix below shows the subscription figures for The Metropolitan Sentinel for a five-year period.
1990
1991
1992
1993
1994

14 , 662

 15 , 325




15
15
17
,
,
418
790
, 156
12 , 004
11
12 , 388
13
13
,
,
,
867
056
540







3.
4.
What is the subscription figure for the suburbs in
1993?
What does the entry in row 2 column 1 represent?
Let A =



7
2

2
6 0
2

 and let B = 



5
0
4
2
1
8

8
6
2




5.
6.
7.
What are the dimensions of the product AB?
What are the dimensions of the product BA?
Compute (if possible) each product.
Use the following for 8 – 9.


0
3
2
0





 x
1
4
3 y





12
2 6
12


8.
9.
Solve for x
Solve for y
Let A =


3


6
1
10.

4
0
2 



, B = 





2
3
1
Calculate 2A – 5B

1
5
4




, C =


1

3 1
2

 and D =


5
0
1
2
11.

 .
Calculate 4C + D

Solve each linear system graphically.
Sketch a picture for each problem, list the solution.
Determine whether the system is consistent and independent, inconsistent, or consistent and dependent.
12.
2 x x


4 y y


2
12
13.
3
3 x x


2
16 y



7
6 y
Solve each system of equations by substitution. Show work for all problems. If the system is inconsistent, write no solution.
14.


14 x x


5
2 y y


10
11
15.


4 x x


6
3 y y


0
9
Solve each system of equations by addition (or subtraction). Show work for all problems. If the system is inconsistent, write no solution.
16.


5
4 x x


6
3 y y




6
27
17.


5
2 x x

 y
2 y




5
13
Solve using any method.
18.


4
3 x x


5
7 y y



19
18
19.



3
5 x x


8
6 y y

 
22
3

0

21.
Write a system of equations for the following problem. Solve using any method.
(To earn full credit for these problems, you must show the system of equations used and the work done to solve the system)
20. The local cable television company offers two deals. Basic cable service with one movie channel costs $35 per month. Basic service with two movie channels costs $45 per month. Find the charge for the basic cable service and the charge for each movie channel.
Nathan’s monthly electric bill includes a fixed service charge and an additional charge for the number of kilowatt- hours (kWh) of electricity used. One bill, including a charge of 595 kWh of electricity, is $61.72. Another bill, including a charge for 650 kWh, is $67.11. Find the fixed charge and the cost per kilowatt-hour.
Writing.
22. Describe the graph of a following types of solutions in the coordinate plane.
A. One solution
B. No Solutions
C. Infinitely many solutions
23.
24.
Describe the graph of a following types of solutions in the coordinate space.
A.
B.
C.
One solution
No Solutions
Infinitely many solutions
When solving by substitution or addition/subtraction method, how do you know that you have:
A.
B.
One solution
No Solutions
C. Infinitely many solutions
Graph the points in coordinate space.
25. (5, -3, 2) 26. (-4, 2, -1)

Graph the equations in coordinate space.
26. 4x - 3y + 6z = -12 27. 9x + y - 3z = 9
Solve using any method.
28.



2 x
 y x
2

 y
3 z
 z
 z

2

7
12
30.


5
2 x x x



7
4 y y y



17
9
3 z z z



4
28
17
29.

3


2 x x
 x

4
 y y
8

 y
6
2
 z z


3
36
20