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Module 5 Re-Test

Total questions: 6

Worksheet time: 30mins

Name
Class
Date
1.

Solve the systems graphically. (Write the answers as ordered pairs (x, y)

 x+y=6-x+y=6  


 y=(x+3)2+5y=-\left(x+3\right)^2+5  

4 lines
2.

Solve using matrices. (Write your answer as an ordered triple (x, y, z)

 4x+y2z=64x+y-2z=-6  

 2x3y+3z=92x-3y+3z=9  
 x2y=0x-2y=0  

4 lines
3.

Is (4, 3) a solution to the system of inequalities?


 y>3x6y>-3x-6  
 y12x+4y\le\frac{1}{2}x+4  

a)

Yes

b)

No

4.

Which graph matches the systems of inequalities?


 y<xy<x  
 y2x+1y\le-2x+1  

a)
b)
c)
d)
5.

Which of the following points is a solution to the system of inequalities shown below?


 y12x+2y\le-\frac{1}{2}x+2  
 y>2x4y>2x-4  

 

a)

(-2, -4)

b)

(4, 8)

c)

(6, 0)

d)

(-2, 8)

6.

The quadratic function  y=14(x+2)2+2y=-\frac{1}{4}\left(x+2\right)^2+2  is graphed. Which line intersects the parabola shown in exactly two points?



I. x = 2

II. y = -2

III. x + y = 2

IV. x + y = -2

a)

II and IV only

b)

III and IV only

c)

I and IV only

d)

II and III only