Math 148 Practice Midterm 1 – WI 09
Please be aware that this is a practice exam based on previous department exams. There may be topics
from class that are not represented on this practice exam that are important.
1. (a) Which of the points (10, –6) and (–10, 6) is closer to (–2, –2)?
(b) Find the midpoint of the line segment joining the points (–10, 6) and (–2, –2).
2. (a) Construct a polynomial of degree 6 with roots –3, –2, 0, and 1, with 0 and 1 as repeated roots.
(b) Draw a complete graph of the function
f
(
x
) = 3
x
2
+ 6
x
– 9, and label the
x
 and
y
intercepts.
3. Solve the systems of equations.
A)
2
6
28
5
y
x
x
y
x
+
=
+
=
B)
3
2
2
2
2
6
30
y
x
x
y
x
x
=
−
=
−
+
(a) First solve graphically.
(i) For each equation, give the degree, the number of roots, and the end behavior.
(ii) Sketch the graphs by hand. You should be able to find all of the roots algebraically.
(iii) Solve each system by using a suitable graphical technique on your calculator.
(b) Solve algebraically. (Try not to use the information that you gained from part a) to help you.
Work through the entire problem.)
4. A ball is thrown up at 88 feet per second from a height of 25 feet. The path of the ball is modeled by
the equation
2
16
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 Spring '08
 Mcginnis
 Math, Degree of a polynomial, complete graph

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