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Unit 6 Test: Systems of Equations

Total questions: 18

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

1. What type of solution will the system have?

y = 4x + 10

Y = 10 + 4x

a)

One Solution

b)

No Solutions

c)

Infinite Solution

2.

2. What type of solution will the system have?

y = -4x - 10

Y = 12 - 4x

a)

One Solution

b)

No Solutions

c)

Infinite Solution

3.

3. What type of solution will the system have?

y= 4x + 6

y= 3x + 6

a)

One Solution

b)

No Solutions

c)

Infinite Solution

4.

4.  What is the solution to the system of equations below?

2x + y = 7

3x + 2y = 16

a)

2,5

b)

2, 11

c)

-2,11

d)

-2,-11

5.

5. What is the solution to the system of equations below?

7x - 5y = 38

2x + 10 y = -12

a)

4,2

b)

-4, -2

c)

-4, 2

d)

4, -2

6.

Which system of linear equations & solution is shown on the graph?

a)

y = 4x – 2 and

y = 1/4x – 2

Solution: (-2, 0)

b)

y = –1/4x – 2 and

y = –4x – 2

Solution: (0,-2)

c)

y = 1/4x – 2 and

y = –4x – 2

Solution (0,-2)

d)

y = –1/4x – 2 and

y = 4x – 2

Solution (-2,0)

7.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
8.

Graph the solution to the system

y = -2x + 8

y= 2x + 2

The first Equation (y=-2x +8) has been graphed for you.

9.

Solve the System

5x + 3y = 7

y = 4



(a)  

10.

Solve the System

y = -2x + 18

y = 8



(a)  

11.

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x



(a)  

12.

Solve the system of equations:

x=2yx=2y  

3x+5y=17-3x+5y=17  

(a)  

13.
Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?
a)

4x + 6y = 3 13.5x - 13y = 6

b)

x + y = 4 x - y = 6

c)

4x + 6y = 13 3x + 7y = 13.5

d)

4x - 6y = 13 3x - 7y = 13.5

14.
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all.  Which system of equations represents the situation?
a)

x + y = 15 4x + 2y = 44

b)

4x + 2y = 15 x + y = 44

c)

x = 2y + 44 4x = y + 15

d)

2x - 4y = 44 x - y = 15

15.

After how many minutes will the price paid be the same?

(a)  

16.

What will the price be when the amounts paid are the same?

(a)  

17.

After how many miles will the price of the cabs be the same?

(a)  

18.

What will the is the price for the cabs when they cost the same?

(a)