WorksheetsGrayson S. Systems of Equations
Total questions: 24
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
2.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
3.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
4.
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.
5.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution
d)
(6, -2)
6.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
7.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
8.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
9.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
10.
Solve this system of equations by graphing.
y = 1/2x + 2
y = -3x + 9
y = 1/2x + 2
y = -3x + 9
a)
(2,3)
b)
(-2,-3)
c)
(3, 2)
d)
(-3,2)
11.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
12.
Solve the system of equations by graphing.
a)
(-3, 2)
b)
(-3, 6)
c)
(-3, -2)
d)
(-3, -6)
13.
Solve the system of equations by graphing.
a)
(2, 2)
b)
(2, 5)
c)
(5, 2)
d)
Infinitely Many Solutions
14.
Solve the system of equations by graphing.
a)
(-4, 1)
b)
(4, -1)
c)
(4, 5)
d)
(5, 4)
15.
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.
16.
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)
17.
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)
18.
Solve:
y = 2x -11
-3y = -6x -15
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
19.
x + 2y = 2
x = -4y + 2
x = -4y + 2
a)
(-3, 0)
b)
(0, 2)
c)
(-3, -2)
d)
(2, 0)
20.
Solve using elimination.
4x + 8y = 20
-4x + 2y = -30
4x + 8y = 20
-4x + 2y = -30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
21.
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)
22.
Solve by elimination:
3x+7y=23
-3x-7y=-17
3x+7y=23
-3x-7y=-17
a)
No solution
b)
ARN
c)
(-3,3)
d)
(3,3)
23.
Solve the system by elimination.
−8x − 10y = 20
−8x − 6y = −4
−8x − 10y = 20
−8x − 6y = −4
a)
Infinite number of solutions
b)
(6, 5)
c)
(−6, −5)
d)
(5, −6)
24.
-4x-2y=-12
4x+8y=-24
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
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