Name: 
 

Section 06-05 - Sample Quiz - Conic Sections -  Systems


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
The following shows the graph of a system of conic equations :


mc001-1.jpg
mc001-2.jpg
Which of the below is the complete set of solutions to the system of equations?
a.
(-4, 0) and (4, 0)
c.
(-4, 0), (5, 3), and (5, -3)
b.
mc001-3.jpg and mc001-4.jpg
d.
(0, -4), (3, 5), and (-3, 5)
 

 2. 
The following shows the graph of a system of conic equations :



mc002-1.jpg
mc002-2.jpg
Which of the below represents the complete set of solutions to the system of equations?
a.
mc002-3.jpg
c.
mc002-5.jpg
b.
mc002-4.jpg
d.
mc002-6.jpg
 

 3. 
What is the maximum number of intersections possible between two unique circles?
a.
2
c.
4
b.
3
d.
5
 

 4. 
Given the equation of the circle  mc004-1.jpg, which parabola described by the equations below would intersect the described circle more than twice?mc004-2.jpg
a.
mc004-3.jpg
c.
mc004-5.jpg
b.
mc004-4.jpg
d.
mc004-6.jpg
 

 5. 
Consider the equations of 2 circles:
•  Circle #1:  mc005-1.jpg
•  Circle #2:  mc005-2.jpg
How many times do the 2 circles intersect each other?
(Hint: It may help to sketch a graph of the two circles.)		mc005-3.jpg
a.
0 intersections
c.
2 intersections
b.
1 intersection
d.
3 intersections
 

 6. 
Solve the following system of conic equations using substitution.

mc006-1.jpg

Which of the below is the only x-value (abscissa) that is part of the complete system solution?
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 
Consider the following system of conic equations..

mc007-1.jpg

If the system was to be solved using substitution, which would be the most likely first step in solving the system?
a.
Multiply both sides of the first equation by 9 and multiply both sides of the second equation by -9.
b.
Replace the “y2” in the first equation with “9 – x2”
c.
Isolate the “x2” in the first equation by subtracting “y2” from both sides.
d.
Multiply both sides of the first equation by 9 and multiply both sides of the second equation by -7.
 

 8. 
Solve the following system of conic equations using elimination.

mc008-1.jpg

Which of the below is the only approximate y-value (ordinate) that is part of the complete system solution?
a.
mc008-2.jpg
c.
 mc008-4.jpg
b.
mc008-3.jpg
d.
mc008-5.jpg
 

 9. 
Consider the following system of conic equations..

mc009-1.jpg

A student was using different techniques to solve the system above shown below.  In which example does it look like the student was using the substitution technique to solve the system?
a.
mc009-2.jpg
________________________________
b.
mc009-3.jpg
________________________________
c.
mc009-4.jpg
________________________________
 

 10. 
Consider the following system of conic equations:
mc010-1.jpg
What could  you multiply each of the equations by so that on the next step the “x2 ” terms are “eliminated”?
a.
Multiply both sides of the first equation by -1.
Multiply both sides of the second equation by 9.
______________________________________
b.
Multiply both sides of the first equation by 1.
Multiply both sides of the second equation by -7.
______________________________________
c.
Multiply both sides of the first equation by 1.
Multiply both sides of the second equation by -1.
______________________________________
d.
Multiply both sides of the first equation by mc010-2.jpg.
Multiply both sides of the second equation by - 9.
______________________________________
 



 
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