AnswersNY-Algebra II Term 1 HillcrestUnit Test

Unit Test — Unit test Answers

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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
2
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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.
3

Where are the vertical asymptotes for the following function located?

Question illustration
A
x = –4 and x = 6
B
x = –4 and x = 7
C
x = 4 and x = –6
D
x = 6 and x = 7
4

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.
5

Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work? Step 1: Step 2: Step 3: Step 4:

Question illustration
A
In step 1, he did not correctly factor the denominator.
B
In step 2, he did not use the correct common denominator.
C
In step 3, he did not distribute the negative sign when he subtracted.
D
In step 4, he did not correctly subtract the numerator.
6

The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of the function that represents the average cost per person?

A
The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.
B
The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
C
The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases.
D
The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
7

How many extraneous solutions does the equation below have?

Question illustration
A
0
B
1
C
2
D
3
8

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
9

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
10

Megan borrowed $50,000 at 5% simple interest for 6 years. Joseph borrowed $60,000 at 4% simple interest for 8 years. The formula can be used to calculate the monthly payment, m, where P is the principle amount borrowed, r is the rate expressed as a decimal, and t is the amount of time for the loan, in years. Who will have a greater monthly payment, and by how much?

Question illustration
A
Megan will pay approximately $8 dollars more per month.
B
Megan will pay approximately $78 dollars more per month
C
Joseph will pay approximately $8 dollars more per month.
D
Joseph will pay approximately $78 dollars more per month.
11

The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function , where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

Question illustration
A
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.
B
The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses.
C
The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses.
D
The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.
12

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
13

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
14

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
15

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
16

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
17

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
18

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
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

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

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