AnswersSem 2 - Algebra 2 with Probability - Nkwati - ContentUnit Test

Unit Test — Unit test Answers

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1
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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
2
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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
3

Which expression is equivalent to ?

Question illustration
A
Negative StartFraction 1 Over 125 EndFraction
Option A
B
Negative one-fifth
Option B
C
StartFraction 1 Over 125 EndFraction
Option C
D
One-fifth
Option D
4

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together.How long will it take Maxine and Jan to mow the lawn together?

Question illustration
A
30.0 minutes
B
45.0 minutes
C
67.5 minutes
D
135.0 minutes
5

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
6

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
7

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
8

Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

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

Question illustration
A
There are asymptotes at and .
B
There are holes at and .
C
There are asymptotes at and .
D
There are holes at and .
10

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.
11

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
12

What is the difference?

Question illustration
A
StartFraction 2 (x + 6) Over (x + 4) (x minus 4) EndFraction
Option A
B
StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction
Option B
C
StartFraction x minus 3 Over (x + 5) (x minus 4) EndFraction
Option C
D
StartFraction negative 2 (x minus 6) Over (x + 4) (x minus 4) EndFraction
Option D
13

Which statement describes the vertical asymptotes of the graph of ?

Question illustration
A
The graph has no vertical asymptote.
B
The graph has a vertical asymptote at x = 8 only.
C
The graph has a vertical asymptote at x = –8 only.
D
The graph has vertical asymptotes at both x = 8 and x = –8.
14

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
15

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
16

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 –∞.
17

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
18

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
19

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
20

Identify the graph of the rational function with an x-intercept at (–4, 0) and (4, 0), a vertical asymptote at x = 2, and an oblique asymptote at y = x + 2.

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

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