Download January 2003 Math B Regents Exam

Name: __________________________________
Part I
1
2
A monitor displays the graph y = 3 sin 5x. What will be the amplitude after a
dilation of 2?
(1) 5
(3) 3
(2) 6
(4) 10
4
.
5
What is the probability that she will score above a 90 on three of the four tests
this quarter?
3
1
3
1
4 1
3 4
1
(1) 4 C3
(3)
5 5
4 5 5
The probability that Kyla will score above a 90 on a mathematics test is
F
IJF
IJ
G
G
HKHK
F4 I F1IJ
C GJG
H5KH5K
1
(2)
3
4
3
3
F
IJF
IJ
G
G
HKHK
3F
4I F
1I
(4) GJG
J
4H
5 KH
5K
1
Which equation represents the parabola shown in the accompanying graph?
(1) f ( x)  ( x  1) 2  3
(2) f ( x)  ( x  3) 2  1
4
3
(3) f ( x)  ( x  3) 2  1
(4) f ( x)  ( x  3) 2  3
3
What is the value of
 (2  (b)i ) ?
b0
(1) 2-5i
(2) 2-6i
5
(3) 8-5i
(4) 8-6i
What is the solution set of the equation
(1) {-1}
(3) {10}
(2) {9}
(4) {10, -1}
9 x  10  x ?
Name: __________________________________
6
Ileana buys a large circular pizza that is divided into eight equal slices. She
1
measures along the outer edge of the crust from one piece and finds it to be 5
2
inches. What is the diameter of the pizza to the nearest inch?
(1) 14
(3) 7
(2) 8
(4) 4
7
The national mean for verbal scores on an exam was 428 and the standard
deviation was 113. Approximately what percent of those taking this test had
verbal scores between 315 and 541?
(1) 68.2%
(3) 38.2%
(2) 52.8%
(4) 26.4%
8
In ABC, if AC  12, BC  11, and mA  30, angle C could be
(1) an obtuse angle, only
(2) an acute angle, only
(3) a right angle, only
(4) either an obtuse angle or an acute angle
x
x
y
The fraction
is equivalent to
1
1
y
2 xy
(1)
(3) x
1 y
x2 y
(2)
(4) 2x
1 y
9
10
If the roots of ax 2  bx  c  0 are real, rational, and equal, what is true about the
graph of the function y  ax 2  bx  c ?
(1) It intersects the x-axis in two distinct points.
(2) It lies entirely below the x-axis.
(3) It lies entirely above the x-axis.
(4) It is tangent to the x-axis.
11
If f ( x) 
(1) x  2
(2) x  2
1
, the domain of f ( x ) is
2x  4
(3) x  2
(4) x  2
Name: __________________________________
12
3
x
and
?
x3
3 x
x3
(3)
x3
(4) 0
What is the sum of
(1) 1
(2) 1
13
The expression log 10x 2  log 10x is equivalent to
(1) 2
(3) 100
1
(2) 2
(4)
100
14
If (sec x – 2)(2 sec x – 1) = 0, then x terminates in
(1) Quadrant I, only
(2) Quadrants I and II, only
(3) Quadrants I and IV, only
(4) Quadrants I, II, III, and IV
15
Which graph represents the solution set of x 2  x  12  0 ?
16
If sin  
(1)
1
3
(2) 
17
18
1
3
5
, then cos2 equals
3
1
(3)
9
1
(4) 
9
If sin 6A = cos 9A, then mA is equal to
(1) 6
(3) 54
1
(2) 36
(4) 1
2
t
3
The growth of bacteria in a dish is modeled by the function f (t )  2 . For
Name: __________________________________
which value of t is f (t )  32 ?
(1) 8
(3) 15
(2) 2
(4) 16
19
The graphs below show the average annual precipitation received at different
latitudes on Earth. Which graph is a translated cosine curve?
20
The accompanying diagram shows two cables of equal length supporting a pole.
Both cables are 14 meters long, and they are anchored to points in the ground
that are 14 meters apart.
What is the exact height of the pole, in meters?
(1) 7
(3) 7 3
(2) 7 2
(4) 14
21
3
?
y2
y2
(3)
y2
y 2  3y  7
(4)
y2
What is the sum of ( y  5) 
(1) y  5
(2)
y2  7
y2
Name: __________________________________
22
The expression
5  13
12
5  13
(2)
 12
(1)
1
5  13
is equivalent, to
5  13
8
5  13
(4)
8
(3)
23
When expressed as a monomial in terms of i, 2  32  5  8 is equivalent to
(1) 2 2i
(3)  2i 2
(2) 2i 2
(4) 18i 2
24
The solution of 2 x  3  5 is
(1) x < -1 or x > 4
(3) x > -1
(2) -1 < x < 4
(4) x < 4
25
3 1
, )
2
2
represents the point where the terminal side of  intersects the unit circle.
In the accompanying diagram of a unit circle, the ordered pair (
What is m ?
(1) 210
(2) 225
(3) 233
(4) 240
26
Two straight roads intersect at an angle whose measure is 125°.
expression is equivalent to the cosine of this angle?
(1) cos 35°
(3) cos 55°
(2) -cos 35°
(4) -cos 55°
27
Two complex numbers are graphed
What is the sum of w and u, expressed in standard complex number form?
(1) 7 + 3i
(3) 5 + 7i
(2) 3 + 7i
(4) -5 + 3i
Which
Name: __________________________________
28
1
x , x  0, is equivalent to
When simplified, the complex fraction
1
x
x
1
(1) 1
(3)
1 x
1
(2) -1
(4)
x 1
29
A certain radio wave travels in a path represented by the equation y  5 sin 2 x.
What is the period of this wave?
(1) 5
(3) 
(2) 2
(4) 2
30
The mean score on a normally distributed exam is 42 with a standard deviation
of 12.1. Which score would be expected to occur less than 5% of the time?
(1) 25
(3) 60
(2) 32
(4) 67
31
For which positive value of m will the equation 4 x 2  mx  9  0 have roots that
are real, equal, and rational?
(1) 12
(3) 3
(2) 9
(4) 4
32
What is the total number of distinct triangles that can be constructed if AC = 13,
BC = 8, and ma  36 ?
(1) 1
(3) 3
(2) 2
(4) 0
33
The accompanying graph is a sketch of the function y  f (x) over the interval
0  x  7.
1
What is the value of ( f  f )(6) ?
(1) 1
(3) 0
(2) 2
(4) -2