AnswersCommon Core Algebra II - MA3111 B-CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

40 verified answers
1
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What are the domain and range of f(x) = |x + 6|?

A
domain: ; range: f(x) 0
Option A
B
domain: x ; range:
Option B
C
domain: x ; range:
Option C
D
domain: ; range: f(x) 0
Option D
2
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In the diagram below, = . What is the value of m?

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartRoot 3 EndRoot
Option C
D
2 StartRoot 3 EndRoot
Option D
3

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

A
x = –2, x = –8
B
x = –2, x = –6
C
x = –2, x = 6
D
x = –2, x = 8
4

Which statements accurately compare the functions in the graph? Select two options.

A
Neither function has a maximum value.
B
The functions share a y-intercept of –1.
C
The functions share an x-intercept of 1.
D
Both functions have a range of all real numbers.
E
Both functions have a domain of all real numbers.
5

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the frequency of the tuning fork?

Question illustration
A
Hz
Option A
B
Hz
Option B
C
1760 Hz
D
3520 Hz
6

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
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

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
9

Which of the following is the inverse of ?

Question illustration
A
y = log Subscript one-twelfth Baseline x
Option A
B
y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction
Option B
C
y = log Subscript x Baseline 12
Option C
D
y = log Subscript 12 Baseline x
Option D
10

Which survey is most likely affected by bias?

A
a survey of teenagers about their favorite colors
B
a survey of students about vacation policies in a school district
C
a survey of supermarket shoppers about products they would like to see added
D
a survey of bike riders on whether they wear helmets
11

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.
12

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.
13

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
14

What is the following product?

Question illustration
A
–2
B
2
C
22 –
Option C
D
98 –
Option D
15

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
16

What is the product? Assume

Question illustration
A
3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot
Option A
B
3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option B
C
3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot
Option C
D
StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option D
17

Which of the following probabilities is the greatest for a standard normal distribution?

A
P (negative 1.5 less-than-or-equal-to z less-than-or-equal-to negative 0.5)
Option A
B
P (negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5)
Option B
C
P (0.5 less-than-or-equal-to z less-than-or-equal-to 1.5)
Option C
D
P (1.5 less-than-or-equal-to z less-than-or-equal-to 2.5)
Option D
18

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
19

What are the domain and range of f(x) = 2(3x)?

A
domain: ; range:
Option A
B
domain: ; range:
Option B
C
domain: ; range:
Option C
D
domain: ; range:
Option D
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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