AnswersLJISD-TX-Algebra II-4th 6WKSUnit Test

Unit Test — Unit test Answers

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What is the product?

Question illustration
A
StartFraction 4 n Over n + 1 EndFraction
Option A
B
StartFraction n Over n + 1 EndFraction
Option B
C
StartFraction 1 Over n + 1 EndFraction
Option C
D
StartFraction 4 Over n + 1 EndFraction
Option D
45
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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.
46

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
47

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
48

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola and parabola are shown. The hyperbola has a curve in quadrants 1 and 2. The parabola opens down and has a vertex at (0, 0).
Option A
B
On a coordinate plane, a hyperbola and a cubic functions are shown. They hyperbola has curves in quadrants 1 and 3, and the cubic function goes through (0, 0).
Option B
C
On a coordinate plane, a hyperbola is shown. One curve is in quadrant 1 and the other curves goes through quadrants 2 and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. Both curves open downward in quadrants 3 and 4.
Option D
49

Using V = lwh, what is an expression for the volume of the following prism?

Question illustration
A
StartFraction 4 (d minus 2) Over 3 (d minus 3)(d minus 4) EndFraction
Option A
B
StartFraction 4 d minus 8 Over 3 (d minus 4) squared EndFraction
Option B
C
StartFraction 4 Over 3 d minus 12 EndFraction
Option C
D
StartFraction 1 Over 3 d minus 3 EndFraction
Option D
50

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).
51

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
52

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
53

Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

Question illustration
A
As x approaches -7 from the left, y approaches ∞.
B
As x approaches -7 from the right, y approaches -∞.
C
As x approaches 7 from the left, y approaches –∞.
D
As x approaches 7 from the right, y approaches –∞.
54

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
55

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.
56

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
57

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.How long will it take Ted and Jacob to clear the field together?

Question illustration
A
12 minutes
B
50 minutes
C
1 hour 12 minutes
D
2 hours 30 minutes
58

How many extraneous solutions does the equation below have?

Question illustration
A
0
B
1
C
2
D
3
59

What are the vertical and horizontal asymptotes for the function ?

Question illustration
A
horizontal asymptote: y = –2, y = 2vertical asymptote: x = 3
B
horizontal asymptote: y = –4, y = 1vertical asymptote: x = 3
C
horizontal asymptote: y = 3vertical asymptote: x = –4, x = 1
D
horizontal asymptote: y = 3vertical asymptote: x = –2, x = 2

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