AnswersAR-Algebra II BUnit Test

Theoretical and Experimental Probability Answers

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Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents the total amount of money in Victoria’s account at the end of the nth year?

A
mc023-1.jpg
Option A
B
mc023-2.jpg
Option B
C
mc023-3.jpg
Option C
D
mc023-4.jpg
Option D
2
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If , which recursive formula could represent the sequence below?..., 24, 88, 664, 8408, ...

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
3

Which of the following is true regarding the sequence below?

Question illustration
A
The sequence is arithmetic because there is a common difference of .
Option A
B
The sequence is arithmetic because there is a common difference of 1.
C
The sequence is not arithmetic because there is no common difference between the values of n.
D
The sequence is not arithmetic because there is no common difference between the values of an.
4

The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women’s size 7 fits a foot inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
5

What are the first three terms of a geometric sequence in which and the common ratio is 5?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
125, 25, 5
6

A teacher gave his students the four graphs below. Which graph represents a geometric sequence?Graph AGraph BGraph CGraph D

Question illustration
A
graph A
B
graph B
C
graph C
D
graph D
7

Based on the family the graph below belongs to, which equation could represent the graph?

Question illustration
A
y = StartFraction 1 Over x + 2 EndFraction + 3
Option A
B
y = 0.2 Superscript x Baseline + 3
Option B
C
y = x cubed + 3
Option C
D
y = log x + 3
Option D
8

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = x cubed minus 4
Option A
B
y = (x minus 4) cubed
Option B
C
y = (negative x minus 4) cubed
Option C
D
y = (negative x) cubed minus 4
Option D
9

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take?

A
6 courses
B
7 courses
C
8 courses
D
10 courses
10

Within the set of whole numbers, one set of numbers satisfies the recursive formula , when . What are the first two terms of the sequence?

Question illustration
A
3, 6
B
6, 30
C
2, 6
D
2, 3
11

How is the graph of transformed to produce the graph of ?

Question illustration
A
The graph is translated left 5 units, compressed vertically by a factor of , and translated up 3 units.
Option A
B
The graph is stretched vertically by a factor of , translated left 5 units, and translated up 3 units.
Option B
C
The graph is translated left 5 units, compressed horizontally by a factor of , and translated down 3 units.
Option C
D
The graph is stretched horizontally by a factor of , translated left 5 units, and translated down 3 units.
Option D
12

Which of the following is an arithmetic sequence?

A
mc012-1.jpg
Option A
B
mc012-2.jpg
Option B
C
mc012-3.jpg
Option C
D
mc012-4.jpg
Option D
13

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach infinity. To which family of functions might the described function belong?

A
reciprocal
B
square root
C
exponential
D
quadratic
14

Vince wrote the sequence below.Which of the following explains whether the sequence is geometric?

Question illustration
A
The sequence is geometric because was added to each term to get the next term.
Option A
B
The sequence is geometric because was multiplied to each term to get the next term.
Option B
C
The sequence is not geometric because was added to each term to get the next term.
Option C
D
The sequence is not geometric because 3 was multiplied to each term to get the next term.
15

The first three terms of a geometric sequence are shown below.What is the eighth term of the sequence?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
16

What are the first three terms of the sequence represented by the recursive formula , if ?

Question illustration
A
12.25, –10.25, 13.25
B
0.25, 3.75, 5.25
C
–13.25, 17.25, –8.25
D
–4.25, –3.25, 7.25
17

To which family does the function belong?

Question illustration
A
quadratic
B
square root
C
exponential
D
reciprocal
18

Four students wrote sequences during math class. AndreBrendaCamilleDougWhich student wrote a geometric sequence?

Question illustration
A
Andre
B
Brenda
C
Camille
D
Doug
19

Which of the following is true about the sequence graphed below?

Question illustration
A
The sequence is arithmetic because the terms have a common difference.
B
The sequence is arithmetic because the terms do not have a common difference.
C
The sequence is not arithmetic because the terms have a common difference.
D
The sequence is not arithmetic because the terms do not have a common difference.
20

What is the next term in the sequence 58, 47, 36, 25, ...?

A
–58
B
–8
C
14
D
69

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