AnswersCommon Core Algebra II - MA3111 B-CRUnit Test

Unit Test — Cumulative exam Answers

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1
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What is the formula for margin of error?

A
ME =
Option A
B
ME =
Option B
C
ME =
Option C
D
ME =
Option D
2
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A student is given that point P(a, b) lies on the terminal ray of angle , which is between radians and 2 radians. The student uses the steps below to find cos . Step 1Find the quadrant in which P(a, b) lies:P(a, b) is in Quadrant IV.Step 2Use the point and the Pythagorean theorem to determine the value of r:, but since r must be positive, .Step 3Determine cos ., where a and b are positive.Which of the following explains whether the student is correct?

Question illustration
A
The student made an error in step 3 because a is positive in Quadrant IV; therefore, .
Option A
B
The student made an error in step 3 because .
Option B
C
The student made an error in step 2 because r is negative in Quadrant IV; therefore, .
Option C
D
The student made an error in step 2 because using the Pythagorean theorem gives .
Option D
3

The graph of which function passes through (0,3) and has an amplitude of 3?

A
f (x) = sine (x) + 3
Option A
B
f (x) = cosine (x) + 3
Option B
C
f (x) = 3 sine (x)
Option C
D
f (x) = 3 cosine (x)
Option D
4

Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?

A
Removing the outlier will not change the spread of the graph of the data set.
B
Removing the outlier will not change the variance of the data set.
C
Removing the outlier will increase the variance of the data set.
D
Removing the outlier will decrease the spread of the graph of the data set.
5

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
6

What is the following sum?

Question illustration
A
6 b squared (RootIndex 3 StartRoot 2 a EndRoot)
Option A
B
12 b squared (RootIndex 3 StartRoot 2 a EndRoot
Option B
C
6 b squared (RootIndex 6 StartRoot 2 a EndRoot)
Option C
D
12 b squared (RootIndex 6 StartRoot 2 a EndRoot)
Option D
7

The histogram below shows the estimated monthly salaries of company employees with different years of experience. How might the graph be misleading?

Question illustration
T
The scale on the y-axis overemphasizes the difference in salaries between different experience levels.
T
The scale on the y-axis underemphasizes the difference in salaries between different experience levels.
T
The scale on the x-axis overemphasizes the difference in salaries between different experience levels.
T
The scale on the x-axis underemphasizes the difference in salaries between different experience levels.
8

Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula , with d being the distance they can see in miles and h being their eye-level height in feet.

Question illustration
A
1 mi
B
mi
Option B
C
19 mi
D
mi
Option D
9

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

Question illustration
A
2
B
3
C
4.5
D
6.9
10

Which formula gives the zeros of y = sin(x)?

A
for any positive integer k
Option A
B
for any integer k
Option B
C
for any positive integer k
Option C
D
for any integer k
Option D
11

The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.230.59100.330.62930.670.74861.000.84131.330.90821.670.95252.000.9772

A
32%
B
37%
C
42%
D
95%
12

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
13

Consider the functions.f(x) = (x + 1)2 – 4g(x) = –4 |x + 1|

A
The ranges of both f(x) and g(x) are limited to y ≥ –1.
B
The ranges of both f(x) and g(x) are limited to y ≤ –1.
C
Since the range of f(x) is limited to y ≤ 0 and the range of g(x) is limited to y ≥ –4, the ranges overlap for the values –4 ≤ y ≤ 0.
D
Since the range of f(x) is limited to y ≥ –4 and the range of g(x) is limited to y ≤ 0, the ranges overlap for the values –4 ≤ y ≤ 0.
14

Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion?

A
The z-statistic is less than 0.
B
The z-statistic lies in the critical region.
C
The z-statistic is greater than 0.
D
The z-statistic lies outside the critical region.
15

Laila guesses on all 20 questions of a multiple-choice test. Each question has 4 answer choices. What is the probability of a success and a failure for this experiment?

A
;
Option A
B
;
Option B
C
;
Option C
D
;
Option D
16

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
17

Which values for have the same reference angles?

Question illustration
A
, ,
Option A
B
, ,
Option B
C
, ,
Option C
D
, ,
Option D
18

Which set of population data is the least dispersed from its mean?

A
2, 3, 2, 9
B
4, 0, 4, 0
C
6, 2, 2, 2
D
9, 3, 5, 3
19

Which of the following shows the extraneous solution to the logarithmic equation below?

Question illustration
A
x = negative 6
Option A
B
x = negative 4
Option B
C
x = negative 2
Option C
D
x = negative 1
Option D
20

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

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

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