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A college algebra test focusing on solving linear systems of equations using various methods such as graphically, by substitution, elimination, and matrix operations. It also includes problems on finding matrix solutions and determinants.
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CHAPTER 6 Review
Please show all your work on this test
and place your final answers in the provided spaces.
Thank you and good luck.
give the generic solution.
a) Solve the system graphically. Ans:__________________
Use calculator and show gra
ph.
2 2
4 3 24
x y
x y
b) Solve by substitution method. Ans:__________________
c) Solve by elimination method. Ans:_______________________
x y
y x
x y
x y
(6 PTS) Given the matrix equation, , solve for X. Please show all supporting steps!
(9 PTS) Given 3 3 2 4
a) Write an equivalent matrix equation.
b) Use
x y z
x y z
x y z
a grapher to solve the system.
Ans:___________________________
x
y x y z
z
a) Given and , Find
-3 6 7 8
b) Given and 1 1 , Find AB
-2 0 6
0 3
Ans:_____________________________
grapher. Please write your matrix before and after solving. State whether the results
from the grapher denote one solution, no solution or infinitely many solutions and the
reason for you conclusion.
m n t
m n t
m n t
x y z
x y z
x y z
p q r
p q r
p q r
buses and urban transit buses), and by railroads in the United States in a recent
year was 1899 billion passenger-miles. (One passenger-mile is the transportation of
one passenger the distance of one mile.) The volume of bus traffic was 21 billion
passenger-miles more than the volume of railroad traffic. The total volume of bus
traffic was 1815 billion passenger-miles less than the volume of traffic by private
automobile. What was the volume of each type of passenger traffic?
