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WorksheetsSystems of Equations Practice
Total questions: 15
Worksheet time: 4hrs 45mins
Name
Class
Date
1.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution
d)
(6, -2)
2.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
3.
What is the solution to this system?
x - y = 6
y= 2x - 5
x - y = 6
y= 2x - 5
a)
(1,3)
b)
(-1,3)
c)
(-1,-7)
d)
(1,-7)
4.
Solve:
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
5.
Solve by elimination:
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
6.
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
7.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
8.
2x - y = 0
4x - y = 0
a)
(1,2)
b)
(0,0)
c)
No Solutions
d)
Infinite Solutions
9.
Solve the system:
x + 6y = 17
x - 3y = 8
x + 6y = 17
x - 3y = 8
a)
(5, 2)
b)
(11, 1)
c)
(1, 11)
d)
no solution
10.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
11.
Which graph best represents a system of equations that has no solution?
a)
b)
c)
d)
12.
Solve: Use Substitution
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
13.
What is the Solution to the system?
-4x - 6y = 6
4x + 6y = -4
a)
no solution
b)
(2,0)
c)
(-4,0)
d)
(0,0)
14.
Solve:
y= 2x
x + y = 9
a)
(6, 3)
b)
(3, 6)
c)
(-3, -6)
d)
no solution
15.
Solve the system of equations using any method.
a)
(1, 3)
b)
(-7, -4)
c)
Infinitely Many Solutions
d)
(4.25, -.65)
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