A2T Practice For Quiz
NAME__________________________________
SYSTEMS OF EQUATIONS
Solve each system of equations using the SUBSTITUTION Method. (SHOW WORK).
1.
y = 4x - 9
2.
4x + 2y = 10
y=x-3
x – y = 13
Solution: _________________
Solution: __________________
Solve each system of equations using the ELIMINATION Method. (SHOW WORK).
3.
–x – y = 8
4.
4x + 5y = -9
x – 3y = 8
8x – y = -7
Solution: _________________
Solve each system using MATRICES. (SHOW WORK).
5.
2x + y = 6
3x + 4y = 4
Solution: __________________
6.
Solution: _________________
7.
x + 2y = 4
3x – y = 5
Solution: _________________
y + 4z = 6
3x + z = 7
5y – z = 9
Solution: __________________
8.
3x + y + 2z = 6
x + y + 4z = 3
2x + 3y + 2z = 2
Solution: __________________
Solve each system using any method you choose. (SHOW WORK).
9.
7x + 2y = 37
10.
3x - y = -3
y = 3x - 1
-9x + 3y = 12
Solution: _________________
Solution: __________________
Write two equations for the system. Then solve for both unknowns using ANY method learned.
11.
If 8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10, how much does each pen
and pencil cost?
Solution: _________________
12.
Merline has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many dimes
and quarters does she have?
Solution: ___________________
Write three equations for the system. Then solve for the requested variables. Use any method.
13.
The manager at a movie theater tracked sales at each of the following showings of the new James
Bond film. Sales data is displayed in the table below. What are the costs for a Children's, Adult's,
and Senior's ticket? Write three equations and solve the system using any method.
2:00 Show
7:00 Show
9:30 Show
# Children
# Adults
# Seniors
25
5
0
20
25
35
15
10
5
hild's $____________
Adult's $ ______________
Total
Revenue
$392.00
$308.00
$343.00
Senior's $________________
ALGEBRA II
CHAPTER 4 TEST - PART I
NO CALCULATOR
NAME__________________________________
OPERATIONS WITH MATRICES
Use the following matrices to calculate to answer questions # 1 - 5. If an answer is not possible - write NOT
POSSIBLE ! Show your work.
1 4
A

2 6 
2 0 5 
B  3 1 1 
6 2 3
4
C   1
 2 
2
E 
 3
5 2
D

1 3 
1.
What are the dimensions of C?
___________
2.
3C =
3.
D-A=
4.
2E + D =
5.
AxD=
6.
BxC=
7.
AxE=
SOLVE THE FOLLOWING SYSTEMS BY GRAPHING. SKETCH THE GRAPH AND STATE YOUR SOLUTION.
8. y = -3x + 4
9.
4x + y = 2
y = 3x – 2
x-y=3
Solution: ___________________
Solution: ________________