AnswersWINGS PA-26 Algebra II A PottsUnit Test

Unit Test — Cumulative exam Answers

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21
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Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

A
a census.
B
a sample survey.
C
an experiment.
D
an observational study.
22
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What is the difference?

Question illustration
A
StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction
Option A
B
StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction
Option B
C
StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction
Option C
D
StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction
Option D
23

What is the product?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
24

The histogram below shows the number of properties in a town that sold within certain time periods. Why might the graph be considered misleading?

Question illustration
A
The scales on the x- and y-axes are unequal.
B
The interval on the x-axis is too large for the data set.
C
The scale on the y-axis misrepresents the difference in the heights of the bars.
D
The interval on the y-axis is too large for the data set.
25

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

A
x4 – 2x2 + 5x – 6
B
x2 – x + 1
C
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
D
x4 – 4x2 + 3x
26

What is the product?

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
27

What is the quotient?

Question illustration
A
(t + 3) squared
Option A
B
(t + 4) squared
Option B
C
StartFraction 1 Over (t + 4) squared EndFraction
Option C
D
StartFraction 1 Over (t + 3) squared EndFraction
Option D
28

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation:

Question illustration
A
0
B
4.4
C
5.2
D
26.7
29

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which mileage is within a z-score of -1.5?

Question illustration
A
21 miles
B
24 miles
C
36 miles
D
41 miles
30

The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?

Question illustration
A
The median age of the students in Math 1 is greater than the median age of the students in Math 2.
B
The median age of the students is Math 1 is less than the median age of the students in Math 2.
C
The mean and median age are most likely the same for both sets of data.
D
The mean and median age are more likely to be the same for the students in Math 1.
31

What is the product? Assume

Question illustration
A
3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot
Option A
B
3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option B
C
3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot
Option C
D
StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option D
32

What is the following product?

Question illustration
A
–2
B
2
C
22 –
Option C
D
98 –
Option D
33

What is the following sum? Assume and

Question illustration
A
x squared y squared StartRoot y EndRoot minus 2 x y squared StartRoot x EndRoot
Option A
B
2 x y StartRoot y EndRoot + 2 x y squared StartRoot x EndRoot
Option B
C
4 x y StartRoot x Superscript 5 Baseline y Superscript 8 Baseline EndRoot
Option C
D
2 x y StartRoot x y EndRoot
Option D
34

The formula for the sum of an infinite geometric series, , may be used to convert to a fraction. What are the values of and r?

Question illustration
A
a 1 = StartFraction 23 Over 10 EndFraction, r = one-tenth
Option A
B
a 1 = 23, r = StartFraction 1 Over 100 EndFraction
Option B
C
a 1 = StartFraction 23 Over 100 EndFraction, r = 100
Option C
D
a 1 = StartFraction 23 Over 100 EndFraction, r = StartFraction 1 Over 100 EndFraction
Option D
35

What is the sum of the polynomials?

Question illustration
A
4m + 3
B
4m – 24n + 3
C
30m – 5
D
30m – 24n – 5
36

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit?

A
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 300 (0.055) Superscript n minus 1
Option A
B
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 305.5 (1.055) Superscript n minus 1
Option B
C
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (0.055) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (1.055) Superscript n minus 1
Option D
37

What is the completely factored form of x4 + 8x2 – 9?

A
(x + 1)(x – 1)(x + 3)(x + 3)
B
(x + 1) (x minus 1) (x squared + 9)
Option B
C
(x2 – 1)(x + 3)(x – 3)
D
(x + 1)(x + 1)(x + 3)(x + 3)
38

What is the following difference?

Question illustration
A
7 StartRoot 40 EndRoot
Option A
B
14 StartRoot 10 EndRoot
Option B
C
29 StartRoot 5 EndRoot
Option C
D
95 StartRoot 5 EndRoot
Option D
39

Marcus finds that . What error did Marcus make?

Question illustration
A
He combined the terms 5x and –7x incorrectly.
B
He combined the terms 3x2 and 4x2 incorrectly.
C
He combined the terms –2y2 and 12y2 incorrectly.
D
He subtracted the polynomials instead of adding.
40

What is the following product? Assume

Question illustration
A
b StartRoot b EndRoot
Option A
B
2 StartRoot b EndRoot
Option B
C
b
D
b2

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