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Math B Regents Exam Questions by Type - Multiple Choice Page 10
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72. If Jamar can run 3 of a mile in 2 minutes 30
5
seconds, what is his rate in miles per minute?
[A]
6
25
[B] 4 5
[C] 4 1 6
[D] 3 1
10
2
73. The equation 2x + 8x+ n= 0 has imaginary
roots when n is equal to
[A] 4 [B] 8 [C] 6 [D] 10
74. A dog has a 20-foot leash attached to the
corner where a garage and a fence meet, as
shown in the accompanying diagram. When
the dog pulls the leash tight and walks from
the fence to the garage, the arc the leash
makes is 55.8 feet.
2
77. If the roots of ax + bx + c = 0 are real,
rational, and equal, what is true about the
graph of the function y = ax 2 + bx+
c?
[A] It lies entirely below the x-axis.
[B] It is tangent to the x-axis.
[C] It intersects the x-axis in two distinct
points.
[D] It lies entirely above the x-axis.
78. In the accompanying diagram, CA⊥ AB,
ED
⊥ DF, ED AB, CB ≅ BF, AB ≅ ED
and m∠ CAB = m∠ FDE =90.
What is the measure of angle θ between the
garage and the fence, in radians?
[A] 2.79 [B] 3.14 [C] 0.36 [D] 160
75. The growth of bacteria in a dish is modeled
by the function f () t = 2 3 . For which value
of t is f () t = 32 ?
[A] 15 [B] 16 [C] 8 [D] 2
76. If 2x − 1+ 2= 5, then x is equal to
[A] 1 [B] 4 [C] 2 [D] 5
t
Which statement would not be used to prove
ΔABC
≅ ΔDEF
?
[A] HL ≅ HL
[C] SSS ≅ SSS
[B] AAS ≅ AAS
[D] SAS ≅ SAS
79. Chad had a garden that was in the shape of a
rectangle. Its length was twice its width. He
decided to make a new garden that was 2 feet
longer and 2 feet wider than his first garden.
If x represents the original width of the
garden, which expression represents the
difference between the area of his new garden
and the area of the original garden?
[A] 2x 2
2
[B] x + 3x+
2
[C] 6x + 4 [D] 8
80. What is the inverse of the function
y = log x?
4
[A] x
= y [B] 4 y = x
[C] y
= x [D] 4 x = y