SECOND MAJOR EXAM
MASTER CODE
1) If x < 0 , then the distance between the points (3 x, -3 x ) and (- x ,- 6 x )
2 ) The y-intercept of the line with x
- intercept - 2 and parallel to the line
3) Which one of the following relations defines y as a function of x ?
1
4) The solution set, in interval notation, of the inequality - 2 ( 2 x + 5 + 7
1
MATH 001-TI12 - Exam II
Page 3
Master Code
3
5) One o f the solutions o f the equation x - 27 = 0 is
(B) -3
(C) -32
6) If ( - 2 , 4 ) and ( m ,n ) are the endpoints of a diameter o f the circle
2-
x +y
2
+2x-4y=O,
then m + n =
7) If the three points ( a, - 3 ) , (- 4 , l ) and ( a - 3 , - 1 ) are collinear, then
8) The equation
18
X2-9
X
3 --
x+3
3-x
has
4no real solution
B) only one positive integer solution
C) one positive integer and one negative integer solution
I
x 4 +3
&+A=<$''
D) only one negative integer solution
E) two positive integer solutions
~ + 3
C A + ~ );)L
X-3
=/g
3
X(r-3)+3(x+~)
=I
X +-3x+3x
)
x''q3X
.*-3
4
=I
+ q - -18
-- + 3 , b d
s.5=
-@
9) The domain of the function
y=
x2 - 3 x
2-x
is
10) A circle in the second quadrant, tangent to both axes, and of diameter 1
has an equation
11)The inequality
( x + 1 )2 (3 - x )( x
- 1 )3 > 0 has solution set
12) If the line through the points (- k, 5 ) and ( 3, k + 1 ) is perpendicular to
theline
2 x + 3 = 0 , then k =
13) The sum of all real solutions of the equation (2 x + I ) ~ +" (16 x + 8)'13 = 3
14) If
I[ ]I
denotes the greatest integer function, then the interval on which
the graph of
f ( x ) = [2 x - 31 + 1
lies on the x-axis is
15) The lines x
=
at m and n
1 and y
=
1 intersect the circle
points respectively, then
E) m=O ; n = 2
=
b,
then
=
1
[Hint: Sketch ]
&
yn =I
9
16) If the quadratic equation ( 2 x + 1 )( x - 1 ) = 5
( x + a )2
x2 + (y - 1)2
16a+16b=
is written in the form of
17) The product of all solutions of the equation 4
18) The solution set of the inequality
x-2
2x-2
5
X
--
2
1
1
1 6x +4
1 -2
1=0
is
1 9 ) The solution set of the equation
J1-x - 3
+
=
0
consists of
k
two nonpositive integers
\
1,
x
B ) only one negative integer
C ) one positive integer and one negative integer
D ) only one positive integer
-J
X4y
-
= 3-J/-x
d x+4=
9 - 6 J I - r +I-*
.
+
6 = -6m
.
E ) two positive integers
x2
20) The graph of the function y =
&is
1
5-x
decreasing on the intervals ( -
if x 5 1
if 1 < x 3
if
x>3
m,
0 ) and ( 3, m )
B ) has one x- intercept and one y- intercept
tpeb.:
2 ? - 3 + , p . ~ e2 9 6
C ) is below the x-axis on the interval ( 3, m )
D ) is increasing on the intervals ( 0 , 1 ) and ( 3, m )
E ) is above the x- axis on the intervals ( -
m,
0 ) and ( 5, m )