AnswersAZ-Common Core Algebra II ARational Inequalities

Rational Inequalities — Unit test Answers

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Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?

A
2.0 mph
B
3.3 mph
C
5.0 mph
D
10.0 mph
2
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What is the solution of ?

Question illustration
A
–1 < x < 1 or
Option A
B
–1 < x < 1 or
Option B
C
x < –1 or
Option C
D
x < –1 or
Option D
3

Which is the simplified form of ? Assume .

Question illustration
A
StartFraction b cubed Over 8 a Superscript 18 Baseline EndFraction
Option A
B
StartFraction b squared Over 8 a Superscript 45 Baseline EndFraction
Option B
C
StartFraction a Superscript 6 Baseline Over 4 b EndFraction
Option C
D
StartFraction 2 a Superscript 6 Baseline Over b Superscript 5 Baseline EndFraction
Option D
4

Which statement is true about the discontinuities of the function f(x)?

Question illustration
A
There is a hole at x = 2.
B
There are asymptotes at x = 0 and x = –1.
C
There are asymptotes at x = 0 and x = –1 and a hole at .
Option C
D
There are holes at x = 0 and x = –1 and an asymptote at x = 2.
5

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
6

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –2 and y = 5?

A
–10
B
Negative two-fifths
Option B
C
Five-halves
Option C
D
10
7

For the inverse variation equation , what is the value of p when V = ?

Question illustration
A
StartFraction 1 Over 32 EndFraction
Option A
B
One-half
Option B
C
2
D
32
8

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 .
Option B
C
The resistance approaches L.
D
The resistance approaches infinity.
9

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
10

What is the quotient in simplest form? Assume .

Question illustration
A
Negative StartFraction m Superscript 12 Baseline n Superscript 6 Baseline Over 2 EndFraction
Option A
B
Negative StartFraction m Superscript 27 Baseline n Superscript 8 Baseline Over 2 EndFraction
Option B
C
6 m Superscript 12 Baseline n Superscript 6 Baseline
Option C
D
8 m Superscript 12 Baseline n Superscript 6 Baseline
Option D
11

Which inequality is equivalent to ?

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

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