AnswersFL-1200330-Algebra 2 CRModeling with Rational Functions

Modeling with Rational Functions — Unit test Answers

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1
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Arc QVT measures 156°.

Question illustration
A
Angles QRT and QST both measure 78°.
B
Angles QRT and QST both measure 156°.
C
Angle QRT measures 78° and angle QST measures 102°.
D
Angle QRT measures 156° and angle QST measures 24°.
2
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What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

A
(−9,6)
B
(−6,9)
C
(6,−9)
D
(9,−6)
3

Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees.

Question illustration
A
106°
B
108°
C
148°
D
212°
4

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.

A
0.03
B
0.07
C
0.15
D
0.18
6

Triangle BCD is isosceles and BC ≅ BD.

Question illustration
A
100°
B
120°
C
130°
D
160°
7

Angle K measures 67º and angle L measures 119°.

Question illustration
A
m = 61o and m = 113o
Option A
B
m = 67o and m = 119o
Option B
C
m = 113o and m = 61o
Option C
D
m = 119o and m = 67o
Option D
8

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}
9

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

A
The measures of each pair of opposite arcs sum to 180°.
B
Each angle measure is equal to the measure of the arc it intercepts.
C
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
D
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
10

Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class.

Question illustration
A
A and B are independent events because P(A∣B) = P(A).
B
A and B are independent events because P(A∣B) = P(B).
C
A and B are not independent events because P(A∣B) ≠ P(A).
D
A and B are not independent events because P(A∣B) ≠ P(B).
11

Two circles are concentric if they have the same center.

Question illustration
A
(x – 4)2 + (y – 6)2 = 4
B
(x – 4)2 + (y – 6)2 = 16
C
(x – 6)2 + (y – 4)2 = 16
D
(x – 6)2 + (y – 4)2 = 4
12

A circular table top has a radius of 24 inches.What is the area of the table top, to the nearest square inch? Use 3.14 for .

Question illustration
A
75 in.2
B
151 in.2
C
1809 in.2
D
7235 in.2
13

Points D, E, and F are on circle C and EF ≅ DF.

Question illustration
A
14°
B
19°
C
26°
D
38°
14

The chords intersect at point U.

Question illustration
A
2
B
4
C
6
D
8
15

A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated.What is the approximate probability that the first digit will be 6?

A
0.00595
B
0.03571
C
0.11111
D
0.66667
16

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the bag.Which expression represents the probability that one of the marbles is red and the other is blue?

A
StartFraction 30 P 2 Over 50 P 2 EndFraction
Option A
B
StartFraction 30 C 2 Over 50 C 2 EndFraction
Option B
C
StartFraction (10 C 1) (20 C 1) Over 50 C 2 EndFraction
Option C
D
StartFraction (10 P 1) (20 P 1) Over 50 P 2 EndFraction
Option D
17

In what way does San Francisco's Chinatown reflect the concept of accommodation?

A
it preserves Chinese traditions without influence from other cultures and without contributing to other cultures
B
the Chinatown area is separated and protected from outside influences by the US government
C
it provides a space where Chinese cultural practices are maintained, and US cultural elements are also embraced
D
it allows only those of Chinese descent to own businesses and property in the Chinatown area
18

What distinguishes Chicano identity from Latino identity?

A
using art to express cultural experiences
B
learning Spanish to connect to one’s heritage
C
blending European and Indigenous heritage
D
connecting to Indigenous Mexican heritage
19

What is the study of the spectra produced from the emission and absorption of electromagnetic radiation?

A
study of absorption spectrums
B
study of emission spectrum
C
nanotechnology
D
spectroscopy
20

Which best defines a sonnet?

A
A sonnet is a pair of two rhyming lines.
B
A sonnet is a rhyming poem of fourteen lines.
C
A sonnet is a stanza of four poetic lines.
D
A sonnet is a line of rhyming poetry.

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