Mathematics B Exam Worksheet - Regents High School Examination, The University Of The State Of New York, 2005 Page 4

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8 In a given rectangle, the length varies inversely as the width. If the
Use this space for
length is doubled, the width will
computations.
(1) be divided by 2
(3) be multiplied by 2
(2) remain the same
(4) increase by 2
9 Impedance measures the opposition of an electrical circuit to the flow
of electricity. The total impedance in a particular circuit is given by the
Z Z
1
2
formula Z
=
. What is the total impedance of a circuit, Z
, if
T
T
+
Z
Z
1
2
Z
= 1 + 2i and Z
= 1 – 2i?
1
2
5
(1) 1
(3)
2
– 3
(2) 0
(4)
2
10 If log a = x and log b = y, what is log
?
a b
+
x
y
(1) x + 2y
(3)
2
y
(2) 2x + 2y
(4) x +
2
11 Which relation is a function?
2
2
(1) xy = 7
(3) x
– y
= 7
2
2
(2) x = 7
(4) x
+ y
= 7
12 Which equation, when graphed on a Cartesian coordinate plane, would
best represent an elliptical racetrack?
2
2
(1) 3x
+ 10y
= 288,000
(3) 3x + 10y = 288,000
2
2
(2) 3x
– 10y
= 288,000
(4) 30xy = 288,000
[4]
Math. B – June ’05

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