AnswersAlgebra II - MA3111 B-ICCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which step is included in the graph of the function ?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
2
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Which of the following shows the true solution to the logarithmic equation

Question illustration
A
x = negative 1
Option A
B
x = 1
Option B
C
and
Option C
D
, , and
Option D
3

What is the solution of ?

Question illustration
A
x = –2500
B
x = –50
C
x = –2.5
D
no solution
4

The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
A
x < 0
B
x > 0
C
x < 1
D
all real numbers
5

How long is the arc intersected by a central angle of radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
2.6 ft
B
7.0 ft
C
10.5 ft
D
31.4 ft
6

The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

Question illustration
A
z = StartFraction 92 minus 83 Over 83 EndFraction
Option A
B
z = StartFraction 83 minus 92 Over 5 EndFraction
Option B
C
z = StartFraction 92 minus 83 Over 5 EndFraction
Option C
D
z = StartFraction 5 minus 83 Over 92 EndFraction
Option D
7

Which of the following is true regarding the solution to the logarithmic equation below?

Question illustration
A
is not a true solution because
Option A
B
is not a true solution because
Option B
C
is a true solution because
Option C
D
is a true solution because
Option D
8

Which of the following is a binomial experiment?

A
Rolling a six-sided number cube 24 times and recording if a 4 comes up
B
Rolling a six-sided number cube and recording the number until a 4 comes up
C
Rolling a six-sided number cube and recording the number until an even number comes up
D
Rolling a six-sided number cube 24 times and recording the number that comes up
9

Which transformations are needed to change the parent sine function to ?

Question illustration
A
vertical stretch of , horizontal stretch to a period of 2p, phase shift of units to the left
Option A
B
vertical compression of , horizontal compression to a period of , phase shift of units to the left
Option B
C
vertical stretch of 4, horizontal stretch to a period of 8p, phase shift of units to the right
Option C
D
vertical compression of 4, horizontal compression to a period of , phase shift of units to the right
Option D
10

What is written as a single logarithm?

Question illustration
A
log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket
Option A
B
log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)
Option B
C
log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket
Option C
D
log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)
Option D
11

What is the true solution to

Question illustration
A
x = 5
Option A
B
x = 10
Option B
C
x = 50
Option C
D
x = 100
Option D
12

What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
13

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

Question illustration
A
45°
B
135°
C
240°
D
540°
14

By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?M = the magnitude of an earthquakeI = the intensity of an earthquakeI0 = the smallest seismic activity that can be measured, which is 1

Question illustration
A
1.01
B
1.21
C
1.26
D
10.44
15

As the weight of purchased items increases, the shipping charges increase, as shown in the table below.Weight, in ozTotal Shipping Costnot more than 5$9.50more than 5, not more than 10$13.25more than 10, not more than 15$17.00more than 15, not more than 20$20.75Assuming only positive domain values, which statement is true of the graph that represents the total cost, y, in dollars for shipping items that weigh x ounces?

A
The graph is discontinuous at x = 5, x = 10, and x = 15.
B
The range values for the set of the data are 10, 14, 17, and 21.
C
For every 1-ounce increase in weight, the total shipping cost increases by $3.75.
D
The left side of each horizontal interval is a closed circle, and the right side is an open circle.
16

Two students created a game of dice. They determined that each roll would add the value of the die if it was an odd number. If the roll was even, it would subtract the value of the die. (For example, a roll of 2 would subtract two points, but a roll of 3 would add three points.) What is the expected value for this game?

A
–3
B
–0.5
C
0
D
0.5
17

What is the value of given the diagram below?

Question illustration
A
Negative StartRoot 5 EndRoot
Option A
B
Negative StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option B
C
StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
StartRoot 5 EndRoot
Option D
18

The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?

Question illustration
A
The median age of the students in Math 1 is greater than the median age of the students in Math 2.
B
The median age of the students is Math 1 is less than the median age of the students in Math 2.
C
The mean and median age are most likely the same for both sets of data.
D
The mean and median age are more likely to be the same for the students in Math 1.
19

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

A
The graph of g(x) is a translation of f(x) 2 units left.
B
The graph of g(x) is a translation of f(x) 2 units right.
C
The graph of g(x) is a translation of f(x) 2 units up.
D
The graph of g(x) is a translation of f(x) 2 units down.
20

The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower.

Question illustration
A
The broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower.
B
The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
C
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli.
D
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.

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