Name____________________________________________Class______________Date_________
Algebra 2 – Chapter 4 Quiz
1. The table shows record high and low temperatures in degrees Fahrenheit in each of six cities.
City
Record High Record Low
Anchorage
85
-34
Chicago
104
-27
Houston
107
7
Miami
98
30
Pittsburgh
103
-18
San Diego
111
29
a) What are the dimensions of the Matrix? __________
b) What number is in a 42 __________
Find each sum or difference.
2.
9 2  7  5
8  1  6 3 

 

3.
 1 13 16  22 7  18
24  3 19    5 15 11 

 

 9 10 20 12 14  17
Find each product if possible. If not possible, write Undefined.
 9 15

 3 10 

  2 4 0

8
2
 3
4.
5.


  5 0 8
21  4

 63  8  
 4
7 1 6 
6. 6 
3  4 2

9 
Find the inverse of each matrix if it exists. If it does not exist, write no inverse.
8 
6 2 
 7
7.
8.
3 2
 14  16




Name____________________________________________Class______________Date_________
Solve each matrix equation.
9.
 1 3 6  8 1 0 
X 


 1 2 1 14 3  1
  3  2
8  1
11. 
X

6 0 
1 
1


10.
12.
3 4
 3
 1  1 X  2


 
3 2  10 8 
4X  3


1  2  5  2
Solve the following systems using inverse matrices. Show your work.
2 x  3 y  4 z  3
2 x  y  2

13.
14.
 13x  5 y  2 z  3

2 x  2 y  4
 3 x  4 y  3 z  6

15. Are these matrices inverses of each other? Show why or why not.
 2  1
  1  1
 3 1  and  3  2




Name____________________________________________Class______________Date_________
16. What are the dimensions of the product of a 2 X 3 matrix and a 3 X 4 matrix?
17. At an afternoon play 200 tickets were sold to children and 100 tickets were sold to adults for a profit
of $2,800. That evening 100 tickets were sold to children and 400 tickets were sold to adults for a profit
of $5,600. Find the price of a ticket for a child and the price of a ticket for an adult.