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Linear Quadratic Systems (line-circle)
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Practice Page
Directions: Grab paper, pencil, and a stratight-edge. You may also want a sheet of graph paper. Beware!! The posed pictures may, or may not, be helpful in solving the problems!
1.

Solve and check this system algebraically:   
     x2 + y2 = 9
     y = 2x - 3
circleperson3

 

 

2.

Solve and check this system algebraically:   
      (x + 1)2 + (y - 1)2 = 18
       y = x - 4     
circleperson1a

 

 

3.

Solve and check this system by graphing:   
     (x - 2)2 + (y - 1)2 = 4
       x + y = 1
circleperson2

 

 

4.

Solve and check this system by graphing:   
          x2 + y2 = 4
          y + 4 = -x
circleperson4

 

 

5.
Which ordered pair is a solution to the system shown below?
       x2 + y2 = 36   and    y = 6
circleperson5a
       Choose:
 
(0,0)
(6,0)
  (0,6) (6,6)

 


6.
Which choice is the solution set for the system:
    x2 + y2 = 13    and    y = -x + 5 ?
circleperson6
       Choose:
 
{(3,2),(3,3)}
  {(2,3),(3,2)}
  {(2,3),(2,2)}
  {(3,2),(2,2)}

 

 

7.
Which choice is the solution set for the system:
    x2 + y2 = 25    and    y = x + 1 ?
circleperson7
       Choose:
 
{(3,4),(4,3)}
 
{(3,-4),(3,4)}
  {(4,3),(-3,4)}
  {(3,4),(-4,-3)}

 

 

8.
How many unique solutions are there to the following system of equations?
(x - 2)2 + (y - 1)2 = 25  and  y = -2x + 15
circleperson8
       Choose:
 
1
2
 
3
0



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