AnswersFL-1200330-Algebra 2 Sem 2 - FlexGraphing Rational Functions

Graphing Rational Functions — Unit test Answers

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1
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Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction m Superscript 5 Baseline Over 162 n EndFraction
Option A
B
StartFraction 1 Over 2 m cubed n EndFraction
Option B
C
StartFraction 8 m Superscript 9 Baseline Over n Superscript 9 Baseline EndFraction
Option C
D
StartFraction 4 m Superscript 8 Baseline Over 3 n cubed EndFraction
Option D
2
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Which statement is true about the discontinuities of the function f(x)?

Question illustration
A
There are asymptotes at and .
Option A
B
There are holes at and .
Option B
C
There are asymptotes at and .
Option C
D
There are holes at and .
Option D
3

The inverse variation equation shows the relationship for a cruise ship’s travel between the rate of travel, x, and the time to travel, y for a distance of 600 miles. What is the rate of travel in miles per hour (mph) if the trip takes 24 hours?

Question illustration
A
2.5 mph
B
25 mph
C
144 mph
D
14,400 mph
4

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction x Superscript 10 Baseline y Superscript 14 Baseline Over 729 EndFraction
Option A
B
StartFraction x Superscript 22 Baseline Over 18 y Superscript 46 Baseline EndFraction
Option B
C
StartFraction 729 Over x Superscript 10 Baseline y Superscript 14 Baseline EndFraction
Option C
D
StartFraction 18 y Superscript 46 Baseline Over x Superscript 22 Baseline EndFraction
Option D
5

Blake simplified the expression to . Since this answer is incorrect, what was Blake’s mistake?

Question illustration
A
He added 5 to the exponent in the numerator instead of multiplying.
B
He subtracted the exponents in the parentheses instead of dividing.
C
He multiplied only the exponent in the numerator of the fraction by 5.
D
He divided the exponents in the parentheses instead of subtracting.
6

What is the product of ?

Question illustration
A
StartFraction 1 Over 625 EndFraction
Option A
B
StartFraction 1 Over 25 EndFraction
Option B
C
25
D
125
7

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction
Option A
B
StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction
Option B
C
StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction
Option C
D
StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction
Option D
8

Which expression is equivalent to ?

Question illustration
A
StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction
Option A
B
StartFraction (m + 4) (m + 2) Over m minus 4 EndFraction
Option B
C
StartFraction (m minus 4) (m + 2) Over m + 4 EndFraction
Option C
D
StartFraction m + 4 Over (m minus 4) (m + 2) EndFraction
Option D
9

Marshall bought 32 ounces of mixed nuts, which are estimated to be 30% peanuts. Which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which expression is equivalent to the expression below?

Question illustration
A
StartFraction 1 Over (m + 4) (m + 3) EndFraction
Option A
B
StartFraction 1 Over (m minus 4) (m minus 3) EndFraction
Option B
C
StartFraction m minus 4 Over m minus 3 EndFraction
Option C
D
StartFraction m + 3 Over m + 4 EndFraction
Option D
11

Which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over 4 x EndFraction
Option A
B
StartFraction 4 Over x EndFraction
Option B
C
StartFraction 8 Over x EndFraction
Option C
D
StartFraction 128 Over x EndFraction
Option D
12

The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the cyclist to complete a bicycle tour. Which rational function best models the data in the table?Time, x(hours)Average Speed, y(miles per hour)128166918

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

How can Ari simplify the following expression?

Question illustration
A
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.
B
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerators and multiply the denominators.
C
Divide the numerator and the denominator by a – 3. Then divide the numerator by the denominator.
D
Divide the numerator and the denominator by a – 3. Then simplify the numerator and simplify the denominator.
14

The equation shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?

Question illustration
A
The density approaches infinity.
B
The density approaches 0.
C
The density approaches 1.
D
The density approaches 13.
15

How many extraneous solutions does the equation below have?

Question illustration
A
0
B
1
C
2
D
3
16

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction
Option A
B
StartFraction 3 x minus 2 y Over negative 2 y + 5 x EndFraction
Option B
C
StartFraction x squared y squared Over (negative 2 y + 5 x) (3 x minus 2 y) EndFraction
Option C
D
StartFraction (negative 2 y + 5 x) (3 x minus 2 y) Over x squared y squared EndFraction
Option D
17

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. A curve opens up and to the right in quadrant 1, and another curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0.
Option A
B
On a coordinate plane, a hyperbola is shown. A curve opens up and to the right in quadrant 1, and another curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0.25.
Option B
C
On a coordinate plane, a hyperbola is shown. A curve opens up and to the left in quadrant 2, and another curve opens down and to the right in quadrant 4. A vertical asymptote is at x = 0.
Option C
D
On a coordinate plane, a hyperbola is shown. A curve opens up and to the left in quadrant 2, and another curve opens down and to the right in quadrant 4. A vertical asymptote is at x = 0.25.
Option D
18

What is the solution to the equation ?

Question illustration
A
y = –4 and y = 4
B
y = 0
C
all real numbers
D
no solution
19

How does the graph of compare to the graph of the parent function ?

Question illustration
A
g(x) is shifted 4 units right and 6 units up from f(x).
B
g(x) is shifted 4 units right and 6 units down from f(x).
C
g(x) is shifted 4 units left and 6 units up from f(x).
D
g(x) is shifted 4 units left and 6 units down from f(x).
20

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 8 m Superscript 7 Baseline n Superscript 6 Baseline Over 3 EndFraction
Option A
B
StartFraction 10 m Superscript 7 Baseline n Superscript 6 Baseline Over 3 EndFraction
Option B
C
StartFraction 8 m Superscript 16 Baseline n Superscript 12 Baseline Over 3 EndFraction
Option C
D
StartFraction m Superscript 4 Baseline n Superscript 6 Baseline Over 3 EndFraction
Option D

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