Chapter
3 Practice Test Algebra 2
Solve the linear system:
]0.
4x-5y=
1S
x+5y=JO
]I. Solve the system.
y = -4x+ 4
y=-x-5
I 2.
Solve the linear system.
4x- 3y =-1
3x+ 4y =-3
13.
Solve the linear system.
7x- 4y= J2
3x+ 2y= 4
] 4.
Tickets to a local movie were sold at $6.00 for adults and $4.50 for students If 13 8
tickets were sold for a total of $80] .00, how many student tickets were sold?
I 5.
The Modem Grocery has cashews that sell for $4.00 a pound and peanuts that sell for
$2.25 a pound. How much of each must Albert, the grocer, mix to get 70 pounds of
mixture that he can sell for $3.00 per pound. Express the problem as a system of linear
equations and solve using the method of your choice to find the solution of the problem.
I 6.
Graph the system of linear inequalities:
x~7
y~2
17.
Graph the system of inequalities: y 2
y:o;x+3
] 8.
Graph the system oflinear
y:Sx-6
2x+ y :S 6
•
inequalities:
- 2x + 3
Chapter 3 Practice Test Algebra 2
I.
Graph the linear system and estimate the solution: x + y
=
-J
2x- y = 4
2
Find the solution to the system by graphing.
x+y == 6
2x-y
== 6
3
Tell how many solutions the linear system has: infinitely many solutions, one solution, or
no solution
x- 4y= 2
2x- 8y= 5
4.
Tell how many solutions the linear system has: infinitely many solutions, one solution, or
no solution.
x- 4y= 2
x + 4y= 2
:5 T ell how many solutions the linear system has: infinitely many solutions, one solution, or
no solution.
1
I
--x-2y==-
-2
3
3x-]2y=
2
6. Is (5, -2) a solution of the system?
2x+ 6y=-2
x + 2y= 1
7. Is (5, -2) a solution ofthe system?
2.x+ 6y=-2
2x+ y=6
8. The drama club sold 1500 tickets for the end-of-year performance. Admission prices were
$12 for adults and $6 for students. The total amount collected at the box office was
$J6,200. How many students attended the play?
Solve the linear system:
9.
x+4y=
-]]
x+ Y = -2