AnswersAZ-Common Core Algebra II BUnit Test

Unit Test — Cumulative exam Answers

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The first term of a geometric sequence is –2 and the common ratio is . What are the next three terms of the sequence?

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Option
Option A
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Option
Option B
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Option C
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Option
Option D
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Which of the following represents a geometric sequence? I II III IV

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I
B
II
C
III
D
IV
3

A normal distribution of data has a mean of 90 and a standard deviation of 18. What is the approximate z-score for the value 64?

A
–3.6
B
–1.4
C
1.4
D
3.6
4

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

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A
2 feet
B
4 feet
C
11 feet
D
19 feet
5

Which point does the graph of the parent function pass through?

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A
(StartFraction square root of 3 over 3 EndFraction ,StartFraction pi over 3 EndFraction)
Option A
B
(StartFraction pi over 3 EndFraction , StartFraction square root of 3 over 3 EndFraction )
Option B
C
(StartFraction pi over 3 EndFraction , square root of 3)
Option C
D
( square root of 3 , StartFraction pi over 3 EndFraction)
Option D
6

Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?

A
110°
B
115°
C
210°
D
215°
7

Which is the graph of ?

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A
On a coordinate plane, a curve starts at (2, 0) and curves up and goes through (3, 3) and (9, 5).
Option A
B
Option
Option B
C
Option
Option C
D
On a coordinate plane, a curve starts at (2, 6) and curves down and goes through (3, 3) and (10, 2).
Option D
8

Which graph represents ?

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A
On a coordinate plane, a cubic function has an inflection point at (0, negative 2).
Option A
B
On a coordinate plane, a cubic function has an inflection point at (negative 2, 0)
Option B
C
On a coordinate plane, a cubic function has an inflection point at (0, 2).
Option C
D
On a coordinate plane, a cubic function has an inflection point at (2, 0).
Option D
9

What is the solution of ?

Question illustration
A
x = –17
B
x = 13
C
x = 53
D
no solution
10

A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is , while the standard deviation is s. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question.Confidence Level90%95%99%z*-score1.6451.962.58

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A
x Overbar plus-or-minus StartFraction 0.90 times s Over StartRoot n EndRoot EndFraction
Option A
B
x Overbar plus-or-minus StartFraction 1.645 times s Over StartRoot n EndRoot EndFraction
Option B
C
x Overbar plus-or-minus StartFraction 1.96 times s Over StartRoot n EndRoot EndFraction
Option C
D
x Overbar plus-or-minus StartFraction 2.58 times s Over StartRoot n EndRoot EndFraction
Option D
11

What is the following product?

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A
6 StartRoot 2 EndRoot minus 2 StartRoot 30 EndRoot + 6 minus 2 StartRoot 15 EndRoot
Option A
B
6 StartRoot 3 EndRoot minus 6 StartRoot 5 EndRoot
Option B
C
3 StartRoot 2 EndRoot minus StartRoot 22 EndRoot + 2 StartRoot 3 EndRoot minus 4
Option C
D
2 StartRoot 3 EndRoot + 6 minus 2 StartRoot 15 EndRoot
Option D
12

If you are given the graph of , how could you graph ?

Question illustration
A
Translate each point of the graph of g(x) 5 units up.
B
Translate each point of the graph of g(x) 5 units down.
C
Translate each point of the graph of g(x) 5 units left.
D
Translate each point of the graph of g(x) 5 units right.
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 negative infinity. To which family of functions might the described function belong?

A
absolute value
B
exponential
C
cube root
D
square root
14

What is the range of the function graphed below?

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Option
Option A
B
Option
Option B
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Option
Option C
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Option
Option D
15

Henry is asked to find the exact value of . His steps are shown below.1. Subtract from as many times as possible: – = 2. Find the reference angle for : – = .3. The cosine value for is .4. The cosine value is positive because is in the first quadrant.Which of the following describes Henry’s errors?

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A
The reference angle should be , and the sign of the value should be negative.
Option A
B
The reference angle should be , and the cosine value for is .
Option B
C
The sign of the value should be negative, and the reference angle and quadrant should be determined by subtracting in the first step.
Option C
D
The cosine value for is , and the reference angle and quadrant should be determined by subtracting in the first step.
Option D
16

The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.230.59100.330.62930.670.74861.000.84131.330.90821.670.95252.000.9772

A
32%
B
37%
C
42%
D
95%
17

An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall on the y-axis?

A
n = 3
B
n = 4
C
n = 5
D
n = 6
18

Which function has a horizontal asymptote of y = 3?

A
f(x) = 3(2x)
B
f(x) = 2(4)x–3
C
f(x) = 2(3x)
D
f(x) = 2(4x) + 3
19

Which values for have the same reference angles?

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A
, ,
Option A
B
, ,
Option B
C
, ,
Option C
D
, ,
Option D
20

What is the general equation of a sine function with an amplitude of 6, a period of , and a horizontal shift of ?

Question illustration
A
y = sine (8 (x minus StartFraction pi Over 2 EndFraction))
Option A
B
y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))
Option B
C
y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))
Option C
D
y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction
Option D

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