WorksheetsSystems of Equations
Total questions: 18
Worksheet time: 2hrs 0mins
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.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
3.
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
4.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
5.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8
-x + y = -13
-8x - 4y = -8
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
6.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
y = -x + 5
y = 2x - 7
a)
yes
b)
no
7.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
8.
What is the Solution to this system?
a)
(2,-2)
b)
(-2,2)
c)
All Real Numbers
d)
No Solution
9.
Solve the following system
x + 9y = 8
-6x - 9y = -3
x + 9y = 8
-6x - 9y = -3
a)
(1,-1)
b)
(1,1)
c)
(-1,1)
d)
(-1,-1)
10.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
11.
Find the slope of the line that passes through:
(6,7) and (4,2)
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
12.
The slopes of parallel lines are...
a)
the same
b)
opposite
c)
always different
13.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
14.
Are these two lines parallel, perpendicular or neither?
y = -1/4 x - 5
y = 4x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
15.
What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?
a)
1/2
b)
-1/2
c)
2
d)
-2
16.
5x - 4y = =-16
x+ 2y = -6
x+ 2y = -6
a)
(-4,-1)
b)
(5,-1)
c)
(-5,-1)
d)
(4,1)
17.
2x - 3y = 6
7x - 3y = -9
7x - 3y = -9
a)
(-3,-4)
b)
(3,4)
c)
(-4,-3)
d)
(4,3)
18.
x = - 3
2x + 3y = 6
2x + 3y = 6
a)
(4,3)
b)
(-4,3)
c)
(-3,4)
d)
(3,-4)
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