wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Solve Systems by Graphing

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

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

2.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

a)

Intersecting lines

b)

Identical line

c)

Parallel lines

3.

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. 

4.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

5.

What are the solutions to the graphed system?

a)

(0,-2) and (1,3)

b)

(-2,0) and (2,0)

c)

(0,-2) and (3,1)

d)

(2,2) and (1,0)

6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.

What are the solutions to the system of equations graphed below?

a)

(2, 0)

b)

(2, 0), (-2, 0)

c)

(-2,0)

d)

(0, -4), (0,4)

e)

No Solution

9.
a)
A
b)
B
c)
C
d)
D
10.

Find the exact real solutions to the system

a)

no real solutions

b)

(0, 5)

c)

(-10, 11)

d)

(5, 0)

11.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

(0, -1.5)

12.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

13.

What is the solution to this system?

a)

(1,1)\left(1, -1\right)  

b)

(1,1)\left(-1, 1\right)  

c)

(0,2)\left(0, -2\right)  

d)

(2,0)\left(2, 0\right)  

14.

What are the solutions to the graphed system?

a)

(1.5,0) and (3.5,0)

b)

(-0.5,1) and (2,4)

c)

(-0.5,1.5) and (1.5,3.5)

d)

(-1,1) and (2.5,3.5)

15.

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

a)

(0,3)

b)

(5,0)

c)

(2,-3)

d)

(8,9)

16.

What are the solutions to this quadratic/ linear system?

a)

(-2, 0) and (3,0)

b)

No Solutions

c)

-6 and -10

d)

(1,-6)

17.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

18.

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)

19.

Solve by Graphing: What is the solution to this system?

y = 2/3x - 2

y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

20.

Solve the system by graphing:
y = 6x - 4
y = -x + 3

a)

(1, 2)

b)

(2, 1)

c)

(4, 5)

d)

(2, 4)