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Alg 2 Unit 2 Mod 4 Solving Systems Mixed Review

Total questions: 25

Worksheet time: 2hrs 34mins

Name
Class
Date
1.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
2.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
3.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
4.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
5.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
6.
a)
Infinitely Many Solutions
b)
No Solution
7.
Solve the system of equations.
x + 2y = -3
x - y = -12
a)
(-9, 3)
b)
(-7 ,5)
c)
(3, 15)
d)
(9, 6)
8.
Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
(−6, 10) 
d)
(6, 4) 
9.
The solution to a system of equations is any ordered pair that makes both equations true. 
a)
TRUE
b)
FALSE
10.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
11.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
12.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
13.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
14.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
15.

Solve using substitution:

y = -6x + 5

-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

16.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
17.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
18.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
19.
In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
20.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
21.
a)

Moana

b)

The Lost City of Atlantis

c)

The Little Mermaid

d)

Alice in Wonderland

22.
a)
Good friends
b)
Suits
c)
Men with glasses
d)
Men in black
23.
What is his name?
a)
Barry 
b)
Buzzwell
c)
Bumbleton
d)
Buddy 
24.
What is his name?
a)
Walldo 
b)
Russel
c)
Pete
d)
Doug 
25.

What song does Baby Groot dance to at the end of the first Guardians of the Galaxy film?

a)

"I Want You Back" by the Jackson Five

b)

"Cherry Bomb" by The Runaways

c)

"Hooked On A Feeling" by Björn Skifs

d)

"Mr Blue Sky" by Electric Light Orchestra