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Linear Quadratic Systems (line-parabola)
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Practice Page
Directions: Grab paper, pencil, and a stratight-edge. You may also want a sheet of graph paper. Use your graphing calculator only for checking your results. Beware!! The cartoon assistants may, or may not, be helpful!
1.

Solve and check this system algebraically:   
     y = x2 - x - 6
     y = x - 3
linquadpic2

 

 

2.

Solve and check this system algebraically:   
      2x + y = 2
      y = (x - 1)2 + 1
linquadpic4a

 

 

3.

Solve and check this system by graphing:   
     y = x + 3
     y = x2 - 2x - 1
LinQuadPic1

 

 

4.

Solve and check this system by graphing:   
          y = -x2 - 2x + 8
          2x - y = -3
linquad3

 

 

5.
Which ordered pair is a solution to the system of equations:
       y = x2 - x    and    y = x + 3 ?
linquadpic5
       Choose:
 
(2,5)
(3,-1)
  (3,6) (6,9)

 


6.
How many unique solutions are there to the following system of equations?
    y = x2 - 5x + 3    and    y = x - 6
linquadpic6
       Choose:
 
1
2
3
0

 

 

7.
Which ordered pair is a solution to the system of equations graphed at the right?
graph7
       Choose:
 
(-3,1)
(-3,4)
 
(1,1)
(0,1)

 

 

8.
How many unique solutions are there to the following system of equations?
   y = -x2 - x + 2    and    x + 3y = 12
linquadpic7
       Choose:
 
1
2
 
3
0



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