WorksheetsSolving Systems
Total questions: 10
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
2.
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
3.
Solve the system by substitution.
5x + 4y= −14
y = −7x − 15
5x + 4y= −14
y = −7x − 15
a)
(-2, -1)
b)
(1, -2)
c)
(-2, 1)
d)
(-1, -2)
4.
y=4x−1 5x+2y=24 What is the first step to solving the system of equations by substitution?
a)
5x+2(4x−1)=24
b)
5(4x−1)+2y=24
c)
5x+2(4x)=24
d)
5x+2y(4x−1)=24
5.
Solve by elimination:
2x - 3y = -6
-2x - 2y = 26
2x - 3y = -6
-2x - 2y = 26
a)
(-9,-4)
b)
(9,4)
c)
(4,9)
d)
(-4,-9)
6.
Solve the following system by using elimination:
-2x - 5y = -15
x + 8y = 13
a)
(5, 1)
b)
(1, 5)
c)
(5, -1)
7.
When solving a system of equations algebraically, which statement results in infinite solutions?
a)
4 = 7
b)
2 = 2
c)
-3 = 3
d)
all of the above
8.
The solution to a system of equations is any ordered pair that makes both equations true.
a)
TRUE
b)
FALSE
9.
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
10.
You can solve systems using these methods:
a)
graphing, substitution, and elimination
b)
rearranging, thinking, and guessing
c)
only by graphing
100 %
