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Worksheets

Systems of Equations and Inequalities

Total questions: 11

Worksheet time: 15mins

Name
Class
Date
1.

Solve the linear system by graphing. Check your solution.

a)

(3, -1)

b)

(3, 1)

c)

(-1, 3)

d)

(-1, -3)

2.

Solve the linear system using any method.

 y=5x7y=5x-7  


 4x+y=1-4x+y=-1  

a)

(6, 23)

b)

(7, 28)

c)

Infinitely Many Solutions

d)

No Solution

3.

Solve the linear system using any method.

 x=y11x=y-11  


 x3y=1x-3y=1  

a)

(-17, -6)

b)

(5, -6)

c)

Infinitely Many Solutions

d)

No Solution

4.

Solve the linear system using any method.

 8x +3y=98x\ +3y=-9  


 8x+y=29-8x+y=29  

a)

(-3, 5)

b)

(-2.4, 9.5)

c)

Infinitely Many Solutions

d)

No Solution

5.

Solve the linear system using any method.

 x5y=3x-5y=-3  


 3x5y=113x-5y=11  

a)

(7, 2)

b)

(2, 1)

c)

Infinitely Many Solutions

d)

No Solution

6.

Solve the linear system using any method.

 15x3y=1215x-3y=12  


 y=5x4y=5x-4  

a)

(1, 1)

b)

(-1, -9)

c)

Infinitely Many Solutions

d)

No Solution

7.

Solve the linear system using any method.

 4xy=44x-y=-4  


 8x+2y=2-8x+2y=2  

a)

(0, 4)

b)

(-1, 0)

c)

Infinitely Many Solutions

d)

No Solution

8.

Graph the system of linear inequalities. Where is the solution located?

a)

A

b)

B

c)

C

d)

D

9.

Graph the system of linear inequalities. Where is the solution located?

a)

A

b)

B

c)

C

d)

D

10.

We have learned many methods to solve systems of linear equations, which one is not a method?

a)

Graphing

b)

Elimination

c)

Substitution

d)

Cross product

11.

A solution to solving systems of linear inequalities is

a)

where there is shading

b)

where the shading overlaps

c)

where there is NO shading

d)

where the shading is that doesn't overlap