AnswersCA-Algebra II BCumulative Exam

Cumulative Exam — Cumulative exam Answers

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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
22
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If , what is the value of c?

Question illustration
A
1
B
2
C
3
D
5
23

According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.

Question illustration
A
0.001
B
0.002
C
0.128
D
0.899
24

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
25

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
26

Which equation could be used to calculate the sum of the geometric series?

Question illustration
A
S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction
Option A
B
S 5 = StartFraction two-thirds (1 minus (one-third) Superscript 5 Baseline) Over (1 minus one-third) EndFraction
Option B
C
S = StartFraction one-third Over (1 minus two-thirds) EndFraction
Option C
D
S = StartFraction two-thirds Over (1 minus one-third) EndFraction
Option D
27

What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
28

Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus a year-end bonus equal to 3% of her total sales. Company B offers a base salary of $25,000 per year plus a year-end bonus equal to 5% of her total sales. Which statement best describes the two offers?

A
Company A pays better when total sales are less than $37,500, but company B pays better when total sales exceed $37,500.
B
Company A pays better when total sales are less than $250,000, but company B pays better when total sales exceed $250,000.
C
Company B pays better when total sales are less than $37,500, but company A pays better when total sales exceed $37,500.
D
Company B pays better when total sales are less than $250,000, but company A pays better when total sales exceed $250,000.
29

Which step is included in the graph of the function ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
30

For what value of x does ?

Question illustration
A
1
B
3
C
12
D
no solution
31

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
32

Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D
33

What are the potential solutions of

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
34

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

Question illustration
A
$0.03
B
$0.50
C
$0.95
D
$2.00
35

Which solution finds the value of x in the triangle below?

Question illustration
A
Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.
Option A
B
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction = StartFraction 8 Over x EndFraction. x times 2 StartRoot 3 EndRoot = 24. x = StartFraction 24 Over 2 StartRoot 3 EndRoot EndFraction. x = StartFraction 12 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 12 StartRoot 3 EndRoot Over 3 EndFraction. x = 4 StartRoot 3 EndRoot.
Option B
C
Secant 60 degrees = StartFraction 8 Over x EndFraction. One-half = StartFraction 8 Over x Endfraction. x = 16
Option C
D
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction StartRoot 3 EndRoot Over 2 EndFraction = StartFraction 8 Over x EndFraction. x times StartRoot 3 EndRoot = 16. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 StartRoot 3 EndRoot Over 3 EndFraction.
Option D
36

For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?

Question illustration
A
Negatively skewed
B
Normal, symmetrical distribution
C
Positively skewed distribution
D
None of the above
37

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.
38

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
39

The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen gathered data from 50 students in her graduating class and found the average score to be 529. She thinks that her class’s math SAT score is different from the average. Which of the following shows the correct z-statistic for this situation?

A
0.02
B
0.91
C
1.26
D
5.67
40

Given that , what is the value of ?

Question illustration
A
Plus-or-minus StartRoot eight-thirds EndFraction
Option A
B
Plus-or-minus StartRoot eleven-eighths EndFraction
Option B
C
Eleven-eighths
Option C
D
Eight-thirds
Option D

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