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Worksheets

Systems of Equations

Total questions: 15

Worksheet time: 40mins

Name
Class
Date
1.

The (x, y) ordered pair where two lines on a graph ______________ is called the solution to the system of equations.

a)

solution

b)

intersect

c)

y-intercept

d)

system

2.

What is the solution to this system of equations?

a)

(1, 3)

b)

(3, 1)

c)

(3, 3)

d)

(1, 1)

3.
The solution is:
a)
(4, 3)
b)
(3, 4)
c)
(-4, 3)
d)
No solution
4.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
5.



How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
6.
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. 
7.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
8.

Solve the system using substitution.
 5x3y=14-5x-3y=14  
 x=1x=-1  

a)

(-1, -3)

b)

(-1, 3)

c)

(3, 1)

d)

(-3, -1)

9.

Solve the system of equations by substitution.

 x+y=44x+y=44  

 y=10xy=10x  

a)

(4, 40)

b)

(-4, 40)

c)

(40, 4)

d)

(-40, 4)

10.

Solve the system of equations by substitution.
 x+y=8x+y=8  

 y=7xy=7x  


a)

(1, 7)

b)

(7, 1)

c)

(-1, -7)

d)

(-7, -1)

11.

Solve the system of equations by substitution.
 2x8y=42x-8y=4  

 y=2x4y=2x-4  

a)

No solution

b)

(-6, 0)

c)

(2, 0)

d)

(3, 0)

12.

Solve the system of equations by substitution.
 2x+4y=182x+4y=18  

 y=4x+8y=-4x+8  

a)

(-1, -4)

b)

(1, -4)

c)

(1, 4)

d)

(-3, -4)

13.

Solve the system of equations by graphing.

a)

(4, 7)

b)

(3, 5)

c)

(6, 7)

d)

(5, 3)

14.

Solve the system of equations by graphing.

a)

(2, -5)

b)

(2, 5)

c)

(4, -6)

d)

(-2, -3)

15.

Solve the system of equations by graphing.

a)

No Solution

b)

(-2, 6)

c)

(4, 0)

d)

(2, 2)