AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Vertical Asymptotes of Rational Functions

Vertical Asymptotes of Rational Functions — Unit test Answers

12 verified answers
1
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Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

Question illustration
A
She added the two fractions incorrectly.
B
She used the wrong common denominator.
C
She did not distribute the negative correctly.
D
She did not multiply the first fraction by a factor.
2
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Which expression is equivalent to the expression below?

Question illustration
A
StartFraction 3 c (2 c minus 1) Over 2 c + 1 EndFraction
Option A
B
StartFraction negative 3 c (2 c + 1) squared Over 4 (2 c minus 1) squared EndFraction
Option B
C
3c
D
–3c
3

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction x minus 3 Over x EndFraction
Option A
B
StartFraction x + 3 Over 1 EndFraction
Option B
C
StartFraction x + 3 Over x EndFraction
Option C
D
StartFraction x Over x + 3 EndFraction
Option D
4

Which expression is equivalent to the following complex fraction?

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

What is the solution to the equation ?

Question illustration
m
m = –4
m
m = –2
m
m = 2
m
m = 4
6

Mrs. Cho wrote the following problem on the board.Problem: Step 1: Step 2: Step 3: What should Mrs. Cho do next?

Question illustration
A
Find a common denominator for the two fractions.
B
Divide the numerator and denominator of the first fraction by x2 and y.
C
Multiply the numerators, multiply the denominators, and then simplify.
D
Multiply the first fraction by the reciprocal of the second fraction.
7

The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation , where p represents the resistivity of the wire’s material, L represents the length of the wire, and d represents the diameter of the wire. What happens to the resistance of the wire as the diameter approaches 0?

Question illustration
A
The resistance approaches 0.
B
The resistance approaches .
C
The resistance approaches L.
D
The resistance approaches infinity.
8

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

A
4 mph
B
7 mph
C
10 mph
D
12 mph
9

Which statements comparing the graphs of function 1 and function 2 are true? Check all that apply.

A
Function 1 has a hole, while function 2 does not.
B
Function 1 has an oblique asymptote, while function 2 does not.
C
Function 2 has a hole, while function 1 only has asymptotes.
D
Function 2 only has asymptotes, while function 1 has a hole.
E
Both functions have the same domain restriction.
F
Both functions have the same vertical asymptote.
10

Which expressions are equivalent to ?

Question illustration
A
2–10 and
Option A
B
2–10 and
Option B
C
10–2 and
Option C
D
10–10 and
Option D
11

What is the quotient in simplified form? Assume .

Question illustration
A
Negative StartFraction 4 a Superscript 12 Baseline b Superscript 8 Baseline Over 5 EndFraction
Option A
B
Negative StartFraction 4 a Superscript 32 Baseline b Superscript 5 Baseline Over 5 EndFraction
Option B
C
StartFraction a Superscript 12 Baseline b Superscript 8 Baseline Over 80 EndFraction
Option C
D
StartFraction a Superscript 32 Baseline b Superscript 5 Baseline Over 80 EndFraction
Option D
13

Which solution to the equation is extraneous?

Question illustration
A
a = –2
B
a = –2 and a = 4
C
neither a = –2 nor a = 4
D
a = 4

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