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Systems of Equations - Graphic Method

Total questions: 15

Worksheet time: 10mins

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.

Mary graphed the following system. What is the solution of the system?

a)

x = 1 and y = -1

b)

x = -1 and y = 1

c)

x = 0 and y = -2

d)

x = 0 and y = 1

3.

What is the solution of the system of equations that is graphed?

a)

It has no solution.

b)

It has one solution: x = 1 and y = 3

c)

It has infinite amount of solutions.

d)

It has one solution: x = 3 and y = 1

4.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
5.

What is the solution of the system?

a)

There is no solution.

b)

There are many solutions.

c)

There are only positive solutions.

d)

The only solution is x = 1 and y = -1

6.

What is the solution of the system?

a)

The system has no solution.

b)

The system has one solution where y = 1.

c)

The system has infinite amount of solutions.

d)

The system has one solution where y = -3

7.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
8.

Find the solution of the system.

a)

The system has no solution.

b)

The system has many solutions.

c)

The system has one solution: x = 6 and y = -2

d)

The system has one solution: x = 6 and y = 2

9.

The system has no solution.

a)

False

b)

True

10.
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. 
11.

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)

12.

Find the solution of the system.

a)

The system has no solution.

b)

The system has one solution where y = 4.

c)

The system has one solution where y = 2.

d)

The system has infinitely many solutions.

13.

Find the solution of the system.

a)

The system has one solution at (6, 2)

b)

The system has no solutions.

c)

The system has infinitely many solutions.

d)

The system has one solution at (0,2)

14.

What is the solution to the system?

a)

(3, 0)

b)

(0, 3)

c)

The system doesn't have a solution.

d)

The system has many solutions.

15.

A system of equations has one solution when:

a)

The equations have different slope.

b)

The equations have different y-intercept.

c)

The equations have the same slope but different y-intercept.

d)

The equations are equivalent.