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Practice Exam Answers

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What is the following product? Assume x is greater than or equal to 0 cube root of x squared times 4th root of x cubed

A
x to the 6th power
B
x times open paren 12th root of x to the 5th power close paren
C
12th root of x to the 5th power
D
x square root of x
22
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Which of the following are in correct order from greatest to least?

A
330 degrees , 5 pi over 3 , 7 pi over 6 , 2 pi over 3 , pi over 2
B
pi over 2 , 330 degrees , 5 pi over 3 , 7 pi over 6 ' 2 pi over 3
C
5 pi over 3 , 7 pi over 6 , 2 pi over 3 , pi over 2 , 330 degrees
D
pi over 2 , 2 pi over 3 , 7 pi over 6 , 5 pi over 3 , 330 degrees
23

Which statement is true about f of x plus 2 is equal to 1 sixth start absolute value x minus 3 end absolute value ?

A
The graph of f of x has range of f of x is greater than or equal to negative 2 .
B
The graph of f of x is a horizontal compression of the graph of the parent function.
C
The graph of f of x has a vertex of open paren negative 3 comma 2 close paren .
D
The graph of f of x opens downward.
24

What is the following sum? 3 b squared open paren cube root of 54 A close paren plus 3 times open paren cube root of 2 A b to the 6th power close paren

A
6 b squared open paren 6th root of 2 A close paren
B
12 b squared open paren cube root of 2 A close paren
C
6 b squared open paren cube root of 2 A close paren
D
12 b squared open paren 6th root of 2 A close paren
25

What are the solutions to log sub 6 of open paren x squared plus 8 close paren is equal to 1 plus log sub 6 of x ?

A
x is equal to 2 and x is equal to 4
B
x is equal to 1 and x is equal to negative 8
C
x is equal to negative 1 and x is equal to 8
D
x is equal to negative 2 and x is equal to negative 4
26

Which formula gives the zeros of y is equal to sine of x ?

A
k pi over 2 for any integer k
B
k pi over 2 for any positive integer k
C
k pi for any positive integer k
D
k pi for any integer k
27

If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent.

A
7 point 4 7 dollars
B
7 point 4 0 dollars
C
7 point 6 6 dollars
D
7 point 5 3 dollars
28

Which statement accurately compares the functions on the graph?

A
The square root and quadratic function share a minimum.
B
The absolute value and square root function share an x -intercept.
C
All of the functions have a maximum.
D
The absolute value and quadratic function share a y -intercept.
29

The distribution of the values of a population is shown in the graph, and a simple random sample is drawn from the population. Based on this information alone, can the sample be used to make inferences about the population?

A
No, because the population values do not appear to be normally distributed.
B
Yes, because the population values do not appear to be normally distributed.
C
No, because the population values appear to be normally distributed.
D
Yes, because the population values appear to be normally distributed.
30

Which is an accurate comparison?

A
The median is likely greater than the mean because the data is skewed to the left.
B
The mean is likely greater than the median because the data is skewed to the left.
C
The mean is likely greater than the median because the data is skewed to the right.
D
The median is likely greater than the mean because the data is skewed to the right.
31

On a unit circle, the vertical distance from the x -axis to a point on the perimeter of the circle is twice the horizontal distance from the y -axis to the same point. What is sine theta ?

A
the fraction with numerator square root of 5 and denominator 5
B
2
C
1 fifth
D
the fraction with numerator 2 square root of 5 and denominator 5
32

The average daily temperature, t , in degrees Fahrenheit for a city as a function of the month of the year, m , can be modeled by the equation graphed, where m is equal to 0 represents January 1 , m is equal to 1 represents February 1, m is equal to 2 represents March 1 , and so on. If the equation is t is equal to A cosine open paren pi over 6 times open paren m plus 1 close paren close paren plus k , what are the values of A and k ?

A
A is equal to negative 20 ; k is equal to 60
B
A is equal to negative 50 ; k is equal to 30
C
A is equal to negative 30 ; k is equal to 50
D
A is equal to negative 60 ; k is equal to 20
33

If a vertical line is dropped from the x -axis to the point open paren 12 comma negative 9 close paren in the diagram, what is the value of secant theta ?

A
5 fourths
B
5 thirds
C
negative 5 fourths
D
negative 5 thirds
34

What is the range of the function y is equal to e to the x th power plus 1 graphed?

A
y is greater than 0
B
y is less than 0
C
y is greater than 1
D
y is less than 1
35

A local newspaper compiles data on the number of days, cap x , people in a neighborhood receive the newspaper. The probability distribution for the data is shown in the table. What is the probability that a randomly chosen person receives the newspaper at least one day per week?

A
33 percent
B
16 percent
C
83 percent
D
41 percent

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Practice Exam Answers — Algebra II