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Solving Systems of Linear Equation Graphically

Total questions: 21

Worksheet time: 5hrs 15mins

Name
Class
Date
1.

Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
No solution
2.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
3.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
4.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
5.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
6.

What is the solution to this system of equations?

a)


(4,−1)\left(4,-1\right)

b)

(−1,4)\left(-1,4\right)

c)

(−4,1)(-4,1)

d)

(−4,−1)(-4,-1)

7.
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. 
8.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
9.
What type of solution to at system of equations is shown in the graph?
a)
one solution
b)
no solution
c)
infinitely many solutions
10.
A linear system has no solution when the graphs of the equations are parallel.
a)
TRUE
b)
FALSE
11.

Solve by graphing

y=23x−1y=\frac{2}{3}x-1  

y=−13x+5y=-\frac{1}{3}x+5  

a)
b)
c)
12.

Solve by graphing

y=3x−1y=3x-1  

y=−3x+5y=-3x+5  

a)
b)
c)
d)
13.

Solve by graphing

y=5y=5  

y=32x−1y=\frac{3}{2}x-1  

a)
b)
c)
14.

Solve by graphing

a)
b)
c)
15.

Solve by graphing

a)
b)
c)
16.

Solve by graphing

a)
b)
c)
17.
Solve by graphing.
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
18.

Solve by graphing.

y = 3x + 2

y=−12x−5y=-\frac{1}{2}x-5  

a)

(-2, -4)

b)

(2, 4)

c)

(-1, 5)

d)

(1, 5)

19.

Solve by Graphing

x=5

y=25x−4y=\frac{2}{5}x-4  

a)
b)
c)
d)
20.

Solve by Graphing

x= -5

y=25x−4y=\frac{2}{5}x-4  

a)
b)
c)
d)
21.

Solve by Graphing

y=5

y=52x−5y=\frac{5}{2}x-5  

a)
b)
c)
d)