Practice Solving
Linear - Quadratic Systems Algebraically
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Solve the following linear - quadratic systems algebraically.

1.

Answer 

 

 

2.

Answer 

 

 

3.

 Answer 

 

 

4.

Answer 

 


 

5.

Answer 

 


 

6.

Answer 

 


 

7.

Answer 

 

 

8.

Jason is traveling on a highway at a constant rate of 60 miles per hour when he passes his friend Alan parked on the side of the road.  Alan has been waiting for Jason to pass so that he could follow him to a nearby campground.

To catch up to the Jason's passing car, Alan accelerates at a constant rate.  The distance
d, in miles, that Alan's car travels as a function of time t, in hours, since Jason's car has passed is given by
d = 3600t2.

Write and solve a system of equations to calculate how long it takes Alan's car to catch up with Jason's car.

 

Answer 

  


 
9.

The range of an ambulance service is a circular region bounded by the equation:  x2 + y2 = 400.  A straight road within the service area is represented by  y = 3x + 20.  Find the length of the road that lies within the range of the ambulance service.
(Assume that one unit in this problem represents one mile.  Express the answer to the nearest tenth of a mile).

Answer