AnswersFL-1200700-Mathematics for College Algebra MISRadical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Unit test Answers

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21
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Edmundo used a number line to show the solution for the inequality . Which number line shows the solution?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
22
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Question text not available

Question illustration
A
–1
B
Option
Option B
C
1
D
4
23

What is the solution to the inequality ?

Question illustration
A
–7 < x < –1
B
1 < x < 7
C
x < –7 or x < –1
D
x > 1 or x < 7
24

The graph below represents c, the amount a phone company charges, based on m, the number of minutes the customer uses each month. If there are a maximum of 44,640 minutes in a month, which equation best represents the phone company’s monthly charges?

Question illustration
A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
25

You are challenged to a lucky draw game. If you draw a face card (K, Q, J) from a standard deck of cards, you earn 10 points. If you draw any other card, you lose 2 points. What is the expected value of a draw?

A
0.77
B
1.69
C
1.85
D
2.31
26

The graph below represents c, the amount a phone company charges, based on m, the number of minutes the customer uses each month. If there are a maximum of 44,640 minutes in a month, which equation best represents the phone company’s monthly charges?

Question illustration
A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
27

Question text not available

Question illustration
A
f(x) = −2|x| + 1
B
f(x) = |x| + 1
Option B
C
f(x) = -2|x + 1|
D
f(x) = |x + 1|
Option D
28

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.

Question illustration
A
no real number solutions
B
one real number solution
C
two real number solutions
D
three real number solutions
29

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 3)3 – 4. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(3, 4)
B
(3, –4)
C
(–3, 4)
D
(–3, –4)
30

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price number of backpacks.)

Question illustration
A
$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
B
$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
C
$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
D
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.
31

Elise, Jake, Malik, and Xiao each solved the same inequality.Elise’s WorkJake’s WorkMalik’s WorkXiao’s Workno solutionall real numbersWhose work is correct?

Question illustration
A
Elise’s work
B
Jake’s work
C
Malik’s work
D
Xiao’s work
32

The graph of f(x) = x3 – 3x2 + 4 is shown.

Question illustration
A
no real number solution
B
one real number solution
C
two real number solutions
D
three real number solutions
33

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
34

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.

Question illustration
A
no real number solutions
B
one real number solution
C
two real number solutions
D
three real number solutions
35

Edmundo used a number line to show the solution for the inequality . Which number line shows the solution?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
36

The graph of f(x) = x3 − 7x − 6 is shown.

Question illustration
A
x = −6
B
x = −2, −1
C
x = −2, −1, 3
D
x = −6, −2, −1, 3
37

Which is the graph of the function f(x) = x3 + x2 + x + 1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
38

What is the vertex of the absolute value function below?

Question illustration
A
(4, –1)
B
(1, –4)
C
(1, 4)
D
(4, 1)
39

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x + 20? Select three options.

Question illustration
A
As the x-values increase, the y-values always increase.
B
As x approaches negative infinity, y approaches negative infinity.
C
The domain of the function is all real numbers.
D
The range of the function is y 20.
Option D
E
The graph has a positive y-intercept.
40

Which is the graph of the function f(x) = 2x3 – 7x2 + 2x + 3?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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