1. Solving a System of Linear and Quadratic Equations Algebraically
See the back of this flipbook for a review on how to solve a system of linear equations using SUBSTITUTION.
SUBSTITUTION was used because it is the only method we can use to solve linear-quadratic systems algebraically.
Because we are dealing with quadratic equations, it is natural to expect more than one answer.
Consider the sketch of a line and a parabola. Example 1
a. What is the maximum number of intersection points
that a line and a parabola could have? Illustrate with a picture.
b. What is the minimum number of intersection points
c. Is it possible for a line and a parabola to intersect in
only one point? If so, illustrate with a picture.

2. 3. Use a graphing calculator to solve the system below. Use the
3. Use a graphing calculator to solve the system below. Use the
“Calculate Intersection” and “Table” features. Find a good
window where you can see both equations and their intersection
points clearly. Draw a picture of your screen and state the
window you used.
Xmin=
Xmax=
Xscl=
Ymin=
Ymax=
Yscl=