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Math B Regents Exam Questions by Type - Multiple Choice Page 20
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163. What is the domain of the function
2
x
f ( x ) 2
=
x − 9
? 2
[A] all real numbers
[B] all real numbers except 3
[C] all real numbers except 3 and -3
[D] all real numbers except 0
164. If sin x = 12 ,
13 cos y = 3 5
,
angles, the value of cos( x− y)
is
[A] − 14
65
[B] 21
65
and x and y are acute
[C] 63
65
[D] − 33
65
165. If sin A = 4 ,
5 tan B = 5
12 , and angles A and B
are in Quadrant I, what is the value of
sin( A+
B) ?
[A] − 63
65
[B] 63
65
[C] 33
65
[D] − 33
65
166. An object orbiting a planet travels in a path
represented by the equation
2 2
3( y+ 1) + 5( x+ 4) = 15.
In which type of
pattern does the object travel?
[A] parabola [B] circle
[C] hyperbola [D] ellipse
167. Melissa and Joe are playing a game with
complex numbers. If Melissa has a score of
5− 4i and Joe has a score of 3+ 2i, what is
their total score?
[A] 8 + 2i
[B] 8 + 6i
[C] 8 - 6i
[D] 8 - 2i
168. An archer shoots an arrow into the air such
that its height at any time, t, is given by the
2
function ht () =− 16t + kt+
3.
If the
maximum height of the arrow occurs at time
t = 4 , what is the value of k?
[A] 128 [B] 8 [C] 4 [D] 64
169. Which transformation does not preserve
orientation?
[A] translation
[B] reflection in the y-axis
[C] rotation [D] dilation
170. What is the image of point (1,1) under
r R
x− axis 090 , °
?
[A] (-1,1) [B] (1,1)
[C] (-1,-1) [D] (1,-1)
x
171. The expression log10 + 2
x
− log10
is
equivalent to
[A] 2
[B]
1
100
[C] − 2 [D] 100
172. Two complex numbers are graphed below.
What is the sum of w and u, expressed in
standard complex number form?
[A] 5 + 7i
[B] -5 + 3i
[C] 7 + 3i
[D] 3 + 7i