Diliman Learning Resource Center
Mathematics 17
Midterm Exam Review
Second Semester AY 20102011
January 17, 2011, Monday
General Directions.
Do as indicated. Write your answers clearly and legibly. Show your complete solutions, if necessary, and
box your final answer. Use black or blue ink only. Answer as many problems as you can. Good luck!
I.
Simplify the following expressions.
1.
64a
−
3
b
2
c
5
a
7
bc
−
1
⋅
8a
12
b
−
9
c
27
a
6
b
3
c
3
−
1
3
2.
x
3
−
y
3
x
3
y
3
1
−
2y
x
y
1
2xy
x
2
−
xy
y
2
II.
Do the following as indicated.
1.
TRUE or FALSE. The set
{
bi

b
∈ℝ
and
i
=
−
1
}
is closed under multiplication.
2.
TRUE or FLASE. For any real numbers a and b that are not zero, if
a
2
ab
then
a
b
3.
TRUE or FALSE. The set
S
=
{
x , y

x
=∣
y
∣
}
denotes a function.
4.
Determine the equation of a line perpendicular to x  2y = 4 and passing through the midpoint of (4,7) and (8,3).
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