AnswersCommon Core Algebra II - MA3111 CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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23
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Which expression is equivalent to ? Assume .

Question illustration
A
a Superscript 9 Baseline b Superscript 6
Option A
B
a Superscript 9 Baseline b Superscript 12
Option B
C
StartFraction 1 Over a cubed b squared EndFraction
Option C
D
StartFraction a Superscript 29 Baseline b Superscript 6 Baseline EndFraction
Option D
24
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What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
25

What is the value of ?

Question illustration
A
–4.00
B
–0.25
C
1.51
D
2.41
26

Which expression is equivalent to ?

Question illustration
A
StartFraction 2 (a + 1) squared Over a cubed EndFraction
Option A
B
6a
C
2a
D
StartFraction 6 a squared Over a + 1 EndFraction
Option D
27

Which table represents the graph of a logarithmic function in the form when ?

Question illustration
A
mc029-3.jpg
Option A
B
mc029-4.jpg
Option B
C
mc029-5.jpg
Option C
D
mc029-6.jpg
Option D
28

Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes 2 hours longer than Juan, who picks up litter for 2 miles. If Juan spent x hours picking up litter, the following equation models the situation.How long did Yumi spend picking up litter?

Question illustration
A
1 hour 20 minutes
B
3 hours 20 minutes
C
4 hours
D
6 hours
29

Anja simplified the expression to . What mistake did Anja make?

Question illustration
A
She divided the exponents instead of subtracting them.
B
She divided the coefficients instead of subtracting them.
C
She subtracted the coefficients instead of dividing them.
D
She subtracted the exponents instead of dividing them.
30

Which expression is equivalent to 5y–3?

A
StartFraction 1 Over 125 y cubed EndFraction
Option A
B
StartFraction 1 Over 5 y cubed EndFraction
Option B
C
StartFraction 5 Over y cubed EndFraction
Option C
D
StartFraction 125 Over y cubed EndFraction
Option D
31

A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by M = –2.78(log P) – 1.35, where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle. What is the absolute magnitude of a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.

A
–5.95
B
–4.60
C
3.25
D
4.60
32

Which properties are present in a table that represents a logarithmic function in the form when ?I. The y-values are always increasing or always decreasing.II. The point (0, 1) exists in the table.III. The y-values will decrease rapidly as the x-values approach zero.IV. There will only be one x-value in the table with a y-value of zero.

Question illustration
A
I only
B
I and II only
C
I, III, and IV
D
II and III only
33

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction 3 y + 1 Over 2 y minus 1 EndFraction
Option A
B
StartFraction (2 y minus 1) (3 y + 1) Over y squared EndFraction
Option B
C
StartFraction y squared Over (2 y minus 1) (3 y + 1) EndFraction
Option C
D
StartFraction 2 y minus 1 Over 3 y + 1 EndFraction
Option D
34

Which logarithmic equation is equivalent to 82 = 64?

A
2 = log Subscript 6 Baseline 64
Option A
B
2 = log Subscript 64 Baseline 8
Option B
C
8 = log Subscript 2 Baseline 64
Option C
D
64 = log Subscript 2 Baseline 8
Option D
35

What is the quotient?

Question illustration
A
StartFraction 2 Over 3 (y minus 5) EndFraction
Option A
B
StartFraction 3 (y minus 5) Over 2 EndFraction
Option B
C
StartFraction (y minus 5) (y + 2) squared Over 6 (y + 3) squared EndFraction
Option C
D
StartFraction 3 (y + 5) (y minus 2) Over 2 (y + 2) EndFraction
Option D
36

What is the value of

Question illustration
A
1
B
7e
C
7x
D
7
37

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 2 Over p Superscript 15 Baseline q Superscript 12 Baseline EndFraction
Option A
B
StartFraction 7 p Superscript 15 Baseline Over 3 q Superscript 12 Baseline EndFraction
Option B
C
StartFraction 2 q Superscript 12 Baseline Over p Superscript 15 Baseline EndFraction
Option C
D
StartFraction 7 p Superscript 15 Baseline q Superscript 12 Baseline Over 3 EndFraction
Option D
38

Which graph represents an exponential function?

A
On a coordinate plane, a line curves upwards gradually.
Option A
B
On a coordinate plane, a curve decreases, changes directions, and then decreases again.
Option B
C
On a coordinate plane, a line is level and then curves upwards rapidly.
Option C
D
On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3.
Option D
39

Which expression is equivalent to ?

Question illustration
A
2 StartRoot 30 x EndRoot
Option A
B
2 StartRoot 30 EndRoot
Option B
C
4 StartRoot 30 x EndRoot
Option C
D
60 StartRoot 2 x EndRoot
Option D
40

What is the value of ?

Question illustration
A
Negative three-halves
Option A
B
Negative two-thirds
Option B
C
Two-thirds
Option C
D
Three-halves
Option D
41

If , what is the value of b?

Question illustration
A
–2
B
–1
C
1
D
2
42

What is the sum?

Question illustration
A
StartFraction 5 Over y minus 5 EndFraction
Option A
B
StartFraction 5 (y + 2) Over (y minus 2) (y + 5) EndFraction
Option B
C
StartFraction 5 Over y + 5 EndFraction
Option C
D
StartFraction 5 (y minus 2) Over (y minus 5) (y + 2) EndFraction
Option D

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