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WorksheetsSolving Systems: Review
Total questions: 20
Worksheet time: 2hrs 8mins
Name
Class
Date
1.
Is the ordered pair (4, -1) a solution to the system of equation?
a)
Yes
b)
No
2.
Is the ordered pair (-2, 1) a solution to the system of equations?
a)
Yes
b)
No
3.
Is the ordered pair (4, 9) a solution to the system of equations?
a)
Yes
b)
No
4.
Look at the system of equations shown in the graph. What is the solution to the system?
a)
(-1, -3)
b)
(1, -5)
c)
(-1, 5)
d)
(1, 3)
5.
Look at the system of equations shown in the graph. What is the solution to the system?
a)
(9, -3)
b)
(-5, 8)
c)
(9, 3)
d)
(-5, -8)
6.
What is the first step in solving a system by Substitution?
a)
Make sure both equations are in standard form.
b)
Make sure at least one equation is solved for one variable.
c)
Make sure both equations are in slope-intercept form.
d)
Make sure both equations can be solved.
7.
Solve this system of equations.
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
8.
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)
9.
x - 3y = -13
4x + 2y = 4
4x + 2y = 4
a)
(1, 4)
b)
(-1, -4)
c)
(-1, 4)
d)
(1, -4)
10.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
11.
4x + 8y = 20
-4x + 2y = -30
Which variable will be eliminated?
-4x + 2y = -30
Which variable will be eliminated?
a)
The x
b)
The y
c)
The z
d)
The unknown
12.
Solve by elimination:
4x+9y=28
-4x-y=-28
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
13.
Solve by elimination:
4x+4y=4
3x+4y=10
4x+4y=4
3x+4y=10
a)
(7,-6)
b)
(-6,7)
c)
(6,7)
d)
(7,6)
14.
Solve by elimination:
7x-9y=29
7x+2y=-15
a)
(-4,-1)
b)
(-1,-4)
c)
(-1,4)
d)
(-1,6)
15.
Solve by elimination
2x+9y= -7
6x-3y= 9
2x+9y= -7
6x-3y= 9
a)
(-1, -1)
b)
(2,-1)
c)
(1,1)
d)
(1,-1)
16.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
same lines
17.
If a system of equations has infinitely many solutions, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
same lines
18.
If a system of equations has infinitely many solutions, what do you know about the slopes and y-intercepts of the two equations?
a)
They have different slopes and different y-intercepts.
b)
They have the same slopes and different y-intercepts.
c)
They have the same slopes and the same y-intercepts.
d)
They have different slopes and the same y-intercepts.
19.
Which two lines show a system with no solution?
a)
Purple and Green
b)
Green and Red
c)
Purple and Blue
d)
Red and Blue
20.
Solve the system and determine the number of solutions it has. If it has one solution, name it.
4x-6y=12
-2x+3y=-6
4x-6y=12
-2x+3y=-6
a)
No Solution
b)
Infinitely Many Solutions
c)
One Solution; (6,2)
d)
One Solution; (3,0)
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