AnswersFL-1200330-Algebra 2 CRModeling with Quadratic Equations

Modeling with Quadratic Equations — Unit test Answers

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1
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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
2
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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.
3

What is the product?

Question illustration
A
StartFraction k + 1 Over k squared EndFraction
Option A
B
StartFraction k minus 1 Over k squared EndFraction
Option B
C
StartFraction negative 1 Over k EndFraction
Option C
D
StartFraction 1 Over k EndFraction
Option D
4

What is the quotient?

Question illustration
A
StartFraction 1 Over 2 y EnDfraction
Option A
B
StartFraction 3 y + 2 Over 6 y squared EndFraction
Option B
C
StartFraction 1 Over y EndFraction
Option C
D
StartFraction 2 (3 y + 2) Over 3 EndFraction
Option D
5

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

Question illustration
A
StartFraction 1 Over 32 EndFraction
B
One-half
C
2
D
32
6

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = negative 2.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = negative 2.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = 2.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1 , and the other curve opens down and to the left in quadrants 2, 1, and 4. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = 2.
Option D
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

What are the vertical and horizontal asymptotes for the function ?

Question illustration
A
vertical asymptote: x = 1horizontal asymptote: none
B
vertical asymptote: x = 1horizontal asymptote: y = 0
C
vertical asymptote: x = –2, x = 3horizontal asymptote: y = 0
D
vertical asymptote: x = –2, x = –3horizontal asymptote: none
9

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
C
Five-halves
D
10
10

Naomi wants to take yoga classes. She can take classes at the high school for a one-time fee of $20 plus $10 per class. She can join the local gym for $50 and take classes for $5 per class. Which statement is true about the average cost for the two options?

A
The high school option costs less per class for six classes.
B
The gym option costs less per class for six classes.
C
The high school option costs less per class for seven classes.
D
The gym option costs less per class for seven classes.
11

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?

Question illustration
a
a = –1, m = 0
a
a = 1, m = 0
a
a = –1, m = 1
a
a = 1, m = 1
12

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.
13

Which statement comparing the oblique asymptotes of the functions f(x) and g(x) is true?

Question illustration
A
The oblique asymptote for g(x) is steeper than for f(x).
B
Both functions have the same oblique asymptote.
C
The oblique asymptote for f(x) is steeper than for g(x).
D
Both functions have parallel oblique asymptotes.
14

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
15

A basketball player’s free-throw percentage is the ratio of the number of successful shots made to the number of shots attempted. A basketball player has made 13 of the first 20 free throws she has attempted this season. Which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts?

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D
16

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
17

If the interval (a, ∞) describes all values of x for which the graph of is decreasing, what is the value of a?

Answer not available
18

A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using . Which statement is true?

Question illustration
A
The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
B
The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.
C
The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
D
The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.
19

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 .
D
There are holes at x = 0 and x = –1 and an asymptote at x = 2.
20

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.

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