AnswersCommon Core Algebra II A-ICGeometric Series

Geometric Series — Unit test Answers

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1
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What are the solutions to

Question illustration
A
x = negative 2 and x = negative 4
Option A
B
x = negative 1 and x = 8
Option B
C
x = 1 and x = negative 8
Option C
D
x = 2 and x = 4
Option D
2
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If you are given the graph of , how could you graph ?

Question illustration
T
Translate each point of the graph of g(x) 5 units up.
T
Translate each point of the graph of g(x) 5 units down.
T
Translate each point of the graph of g(x) 5 units left.
T
Translate each point of the graph of g(x) 5 units right.
3

Which is the graph of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

For what values of x does ?

Question illustration
A
x = –3, x = 1
B
x = –1, x = 3
C
x = negative three-halves, x = 2
Option C
D
x = negative 2, x = three-halves
Option D
5

One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D
6

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

A
3 days
B
10 days
C
13 days
D
33 days
7

What is the true solution to the logarithmic equation?

Question illustration
A
mc026-2.jpg
Option A
B
mc026-3.jpg
Option B
C
mc026-4.jpg
Option C
D
mc026-5.jpg
Option D
8

Which of the following shows the true solution to the logarithmic equation solved below?

Question illustration
A
x = negative 8
Option A
B
x = 1
Option B
C
and
Option C
D
and
Option D
9

Which function is shown in the graph below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

What are the domain and range of ?

Question illustration
d
domain: x > 1; range: y > 2
d
domain: x > 1; range: all real numbers
d
domain: all real numbers; range: y > 1
d
domain: all real numbers; range: all real numbers
11

What is the range of ?

Question illustration
a
all real numbers not equal to 0
a
all real numbers less than 6
a
all real number greater than 6
a
all real numbers
12

Which expression is equivalent to ?

Question illustration
A
log StartFraction 3 StartRoot x EndRoot (x cubed + 4) Over 2 EndFraction
Option A
B
log StartFraction 3 StartRoot x EndRoot (3 x + 4) Over 2 EndFraction
Option B
C
log StartFraction StartRoot 9 x (x cubed + 4) EndRoot Over 6 EndFraction
Option C
D
StartFraction StartRoot log 9 x ( x cubed + 4) EndRoot Over 6 EndFraction
Option D
13

Which function has a horizontal asymptote of y = 3?

f
f(x) = 3(2x)
f
f(x) = 2(4)x–3
f
f(x) = 2(3x)
f
f(x) = 2(4x) + 3
14

Which fraction represents the decimal 0.8888...?

A
StartFraction 80 Over 99 EndFraction
Option A
B
StartFraction 1,111 Over 1,250 EndFraction
Option B
C
Eight-ninths
Option C
D
Nine-eighths
Option D
15

What is the range of the function f(x) = –2(6x) + 3?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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