AnswersAlgebra IIN/A

Practice Exam Answers

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What is the sum of the first 34 numbers in the series? 147 plus 130 plus 113 plus 96 plus dot dot dot

A
negative 4 comma 828
B
negative 4 comma 791
C
negative 4 comma 131
D
negative 4 comma 539
2
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Which equation has x is equal to 4 as the solution?

A
the log base x of 16 is equal to 4
B
log sub 4 of open paren 3 x plus 4 close paren is equal to 2
C
the log base x of 64 is equal to 4
D
log sub 3 of open paren 2 x minus 5 close paren is equal to 2
3

Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. They are both using the same data points to find an equation of the line of best fit: the squirrel population, p , in 2002 and the squirrel population, q , in 2011. Mark is using the year as the x -value, and he represents his data as (2000, p ) and (2011, q ). Jessica is using the years since 2000 as her x -value, and she represents her data as ( 2 , p ) and ( 11 , q ). Which statement best describes how their prediction equations compare?

A
Their equations have different y -intercepts but the same slopes.
B
Their equations have the same y -intercepts but different slopes.
C
Their equations have the same slopes and y -intercepts.
D
Their equations have different slopes and y -intercepts.
4

The table shows data from a stadium concession stand, representing average temperature x in degrees Fahrenheit and the number of popsicles sold y x y x squared x y 65 22 4 comma 225 1 comma 430 72 25 5 comma 184 1 comma 800 85 52 7 comma 225 4 comma 420 88 65 7 comma 744 5 comma 720 92 78 8 comma 464 7 comma 176 cap sigma x is equal to 402 cap sigma y is equal to 242 cap sigma x squared is equal to 32 comma 842 cap sigma x y is equal to 20 comma 546 Which regression equation correctly models the data?

A
y is equal to 2 point 0 9 x minus 114
B
y is equal to 0 point 6 0 x minus 17
C
y is equal to 2 point 0 9 x minus 120
D
y is equal to 0 point 6 0 x minus 0 point 1 6
5

What is 4 log sub 1 half w plus open paren 2 log sub 1 half u minus 3 log sub 1 half v close paren written as a single logarithm?

A
log sub 1 half w to the 4th power open paren the fraction with numerator u squared and denominator v cubed close paren
B
log sub 1 half of open paren the fraction with numerator w to the 4th power and denominator u squared v cubed close paren
C
log sub 1 half w to the 4th power u squared minus v cubed
D
log sub 1 half times open paren w times open paren the fraction with numerator u squared and denominator v cubed close paren close paren to the 4th power
6

Many large cities have considered or passed proposals that ban the use of plastic grocery bags in stores. A concerned student would like to measure if residents of her hometown would consider a similar ban on plastic bags. Standing in a busy shopping area, the student approaches adults and asks, "Items made of plastics are a dangerous, growing source of pollution to our world’s oceans and threaten many animal species. Given this, would you support a ban on plastic shopping bags in our city stores?” Which type of bias is most likely to be present in the survey results?

A
This is nonresponse bias because many adults chosen may decline to answer questions about the environment.
B
This is question wording bias because the survey question attempts to influence subjects’ responses.
C
This is response bias because some adults may not provide truthful answers to the plastic bag question.
D
This is voluntary response bias because many adults may be eager to share their opinions about plastic grocery bags.
7

A supervisor finds the mean number of miles that the employees in a department live from work. He finds line segment x is equal to 29 and s is equal to 3 point 6 Which statement must be true?

A
z sub 37 is between 1 and 2 standard deviations of the mean.
B
z sub 37 is more than 3 standard deviations of the mean.
C
z sub 37 is within 1 standard deviation of the mean.
D
z sub 37 is between 2 and 3 standard deviations of the mean.
8

A city’s annual rainfall totals are normally distributed, and the probability that the city gets more than 43 point 2 inches of rain in a year is given by cap p times open paren z is greater than or equal to 1 point 5 close paren is equal to 0 point 0 6 6 8 If the standard deviation of the city’s yearly rainfall totals is 1 point 8 inches, what is the city’s mean annual rainfall?

A
40 point 5 inches
B
45 point 9 inches
C
41 point 4 inches
D
45 point 0 inches
9

Which of the following shows the graph of y is equal to negative 2 to the x th power minus 1 ?

A
Image with description On a coordinate plane, the curve approaches x axis for negative values of x in the third quadrant. It passes through (1 comma negative 1), (2, comma negative 2), (3 comma negative 4), and decreases rapidly in the fourth quadrant.
B
Image with description On a coordinate plane, the curve approaches the line y equals 1 for negative values of x in the second quadrant. It passes through the origin, (1 comma negative 1), (2 comma negative 3), and decreases rapidly in the fourth quadrant.
C
Image with description On a coordinate plane, the curve approaches the line y equals negative 1 for negative values of x in the third quadrant. It passes through (0 comma negative 2), (1 comma negative 3), (2 comma negative 5), and decreases rapidly in the fourth quadrant.
D
Image with description On a coordinate plane, the curve approaches x axis for negative values of x in the third quadrant. It passes through (negative 1 comma negative 1), (0 comma negative 2), (1 comma negative 4), and decreases rapidly in the fourth quadrant.
10

Which graph represents the function f of x is equal to the fraction with numerator 1 and denominator x plus 3 minus 2 ?

A
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals negative 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches 3 from the left. Its turning point is near (2 comma negative 3). The branch on the right approaches infinity as x approaches 3 from the right and approaches y equals negative 2 as x approaches infinity from the left. Its turning point is near (4 comma negative 1).
B
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals negative 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 3 from the left. Its turning point is near (negative 4 comma negative 3). The branch on the right approaches infinity as x approaches negative 3 from the right and approaches y equals negative 2 as x approaches infinity from the left. Its turning point is near (negative 2 comma negative 1).
C
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 3 from the left. Its turning point is near (negative 4 comma 1). The branch on the right approaches infinity as x approaches negative 3 from the right and approaches y equals 2 as x approaches infinity from the left. Its turning point is near (negative 2 comma 3).
D
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches 3 from the left. Its turning point is near (2 comma 1). The branch on the right approaches infinity as x approaches 3 from the right and approaches y equals 2 as x approaches infinity from the left. Its turning point is near (4 comma 3).
11

Which expression is equivalent to open paren x raised to the 1 half power y raised to the negative 1 fourth power z close paren to the negative 2 power ?

A
the fraction with numerator x z squared and denominator y raised to the 1 half power
B
the fraction with numerator y raised to the 1 half power and denominator x z squared
C
the fraction with numerator x raised to the 1 half power and denominator y z squared
D
the fraction with numerator x raised to the 1 half power and denominator y raised to the 1 fourth power z squared
12

Which of the following shows the extraneous solution to the logarithmic equation 2 log sub 5 open paren x plus 1 close paren is equal to 2 ?

A
x is equal to negative 4
B
x is equal to negative 6
C
x is equal to negative 1
D
x is equal to negative 2
13

Matrix cap p is shown. Given that Matrix cap p equals Matrix cap q , what is the value of q sub 33 ? cap p is equal to the 3 by 3 matrix, row 1, column 1, 1 point 1 column 2, 3 point 5 column 3, negative 9 row 2, column 1, negative 8 point 1 column 2, 0 column 3, 6 point 2 row 3, column 1, 2 column 2, 7 column 3, 16

A
3 point 5
B
6 point 2
C
16
D
7
14

If you are given the graph of g of x is equal to the log base 2 of x , how could you graph f of x is equal to the log base 2 of x plus 5 ?

A
Translate each point of the graph of g x 5 units down.
B
Translate each point of the graph of g x 5 units up.
C
Translate each point of the graph of g x 5 units right.
D
Translate each point of the graph of g x 5 units left.
15

Using cap v is equal to l w h , what is an expression for the volume of the following rectangular prism? Expand Image

A
the fraction with numerator 15 and denominator 2 x plus 2
B
15 eighths
C
the fraction with numerator 3 x plus 12 and denominator 2 x plus 8
D
15 over 2 x
16

What is the domain of the function y is equal to the natural log of open paren x plus 2 close paren ?

A
x is greater than 2
B
x is less than 2
C
x is less than negative 2
D
x is greater than negative 2
17

An international calling plan charges 45 cents per minute or fraction of a minute for each call. Which graph models the cost, y , in cents of making x minutes of international calls?

A
Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 54 in increments of 1 with a line break. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with an open circle and ends at (1 comma 45) with a closed circle. Each step goes from left to right. The last step has an open circle at (9 comma 54) and a closed circle at (10 comma 54).
B
Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 450 in increments of 45. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with a closed circle and ends at (1 comma 45) with an open circle. Each step goes from left to right. The last step has a closed circle at (9 comma 450) and an open circle at (10 comma 450).
C
Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 450 in increments of 45. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with an open circle and ends at (1 comma 45) with a closed circle. Each step goes from left to right. The last step has an open circle at (9 comma 450) and a closed circle at (10 comma 450).
D
Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 54 in increments of 1 with a line break. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with a closed circle and ends at (1 comma 45) with an open circle. Each step goes from left to right. The last step has a closed circle at (9 comma 54) and an open circle at (10 comma 54).
18

The times taken to assemble a clock at a factory are approximately normally distributed with a given mean mu is equal to 3 hr and standard deviation sigma is equal to 0 point 5 hr. What percentage of the times are between 2 hr and 4 hr?

A
47 point 5 percent
B
34 percent
C
68 percent
D
95 percent
19

The explicit rule for an arithmetic sequence is A sub n is equal to 8 point 7 plus negative 1 point 4 times open paren n minus 1 close paren What is the value of the 47 th term? Round to the nearest tenth, if necessary.

A
negative 55 point 7
B
65 point 8
C
45 point 6
D
negative 26 point 4
20

Stu takes a job with a starting salary of 65 dollars comma 000 for the first year. He earns a 2 percent increase each year. To the nearest dollar, how much does Stu make over the first five years?

A
325 dollars comma 000
B
358 dollars comma 826
C
338 dollars comma 263
D
331 dollars comma 500

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