Question 1

A sociologist reviews randomly selected surveillance videos from a public park over a period of several years and records the amount of time people spent on a smartphone. The statistical procedure the sociologist used is called

30

an experiment

a sample survey

a census

an observational study

Accepted Answer

an observational study

Answer

an experiment

Answer

a sample survey

Answer

a census

Question 2

Which statement(s) are true for all real numbers?

$I\ \left(x-y\right)^2=x^2+y^2$

$II\ \left(x+y\right)^3=x^3+3xy+y^3$

Accepted Answer

neither $I$ nor $II$

Answer

<math>I</math>&#44; only

Answer

<math>II</math>&#44; only

Answer

$I$ and $II$

Question 3

What is the solution set of the following system of equations?

$I\ \left(x-y\right)^2=x^2+y^2$

$II\ \left(x+y\right)^3=x^3+3xy+y^3$

Accepted Answer

<math>\left\{\left(0,6\right),\ \left(-5,-9\right)\right\}</math>

Answer

<math>\left\{\left(5,21\right)\right\}</math>

Answer

<math>\left\{\left(0,6\right),\ \left(5,21\right)\right\}</math>

Answer

<math>\left\{\left(-5,-9\right)\right\}</math>

Question 4

Irma initially ran one mile in over ten minutes. She then began a training program to reduce her one-mile time. She recorded her one-mile time once a week for twelve consecutive weeks, as modeled in the graph below.

Which statement regarding Irma’s one-mile training program is correct?

Accepted Answer

Her one-mile speed increased as the number of weeks increased.

Answer

If the trend continues, she will run under a six-minute mile by week thirteen.

Answer

She reduced her one-mile time the most between weeks ten and twelve.

Answer

Her one-mile speed decreased as the number of weeks increased.

Question 5

A $I$ -year lease for office space states that the annual rent is $II$ for the first year and will increase by $6\%$ each additional year of the lease. What will the total rent expense be for the entire $7$ -year lease?

Accepted Answer

Answer

Answer

Answer

Question 6

The graph of $I$ is shown below.

Which expression defines $f\left(x\right)$ ?

Accepted Answer

<math>5\left(2^{\frac{x}{2}}\right)</math>

Answer

Answer

<math>5\left(2^{2x}\right)</math>

Answer

<math>5\left(2^x\right)</math>

Question 7

Given $I$ , which statement is true?

Accepted Answer

$I$ is a factor because $II$ .

Answer

$I$ is a factor because $II$ .

Answer

$I$ is a factor because $II$ .

Answer

$I$ is a factor because $II$ .

Question 8

For $I$ , which equation is false?

Accepted Answer

<math>\left(x^{\frac{3}{2}}\right)^2=\sqrt[4]{x^3}</math>

Answer

<math>\left(x^3\right)^{\frac{1}{4}}=\sqrt[4]{x^3}</math>

Answer

<math>\left(x^{\frac{3}{2}}\right)^{\frac{1}{2}}=\sqrt[4]{x^3}</math>

Answer

<math>\left(x^{\frac{2}{3}}\right)^2=\sqrt[3]{x^4}</math>

Question 9

What is the inverse of the function $I$ ?

Accepted Answer

Answer

Answer

Answer

Question 10

Which situation could be modeled using a geometric sequence?

Accepted Answer

David’s parents have set a limit of $I$ minutes per week that he may play online games during the school year. However, they will increase his time by $II$ per week for the next ten weeks.

Answer

The temperature in your car is $I$ . You lower the temperature of your air conditioning by $II$ every $6\%$ minutes in order to find a comfortable temperature.

Answer

Sarah has $I$ in her piggy bank and saves an additional $II$ each week.

Answer

A cell phone company charges $I$ per month for $II$

gigabytes of data and $\$12.50$ for each additional gigabyte of data.

Question 11

The completely factored form of $I$ is

Accepted Answer

<math>\left(n+3\right)\left(n-3\right)\left(n+6\right)\left(n-2\right)</math>

Answer

<math>\left(n+3\right)\left(n-3\right)\left(n-6\right)\left(n+2\right)</math>

Answer

<math>\left(n^2-9\right)\left(n+6\right)\left(n-2\right)</math>

Answer

<math>\left(n-3\right)\left(n-3\right)\left(n+6\right)\left(n-2\right)</math>

Question 12

What is the solution when the equation $I$ is solved for $II$ , where $6\%$ is a positive integer?

Accepted Answer

Answer

Answer

Answer

Question 13

A group of students was trying to determine the proportion of candies in a bag that are blue. The company claims that $I$ of candies in bags are blue. A simulation was run $II$ times with a sample size of $6\%$ , based on the premise that $7$ of the candies are blue. The approximately normal results of the simulation are shown in the dot plot below.

The simulation results in a mean of $0.254$ and a standard deviation of $0.060$ . Based on this simulation, what is a plausible interval containing the middle $95\%$ of the data?

Accepted Answer

<math>\left(0.134,\ 0.374\right)</math>

Answer

<math>\left(0.254,\ 0.374\right)</math>

Answer

<math>\left(-0.448,0.568\right)</math>

Answer

<math>\left(0.194,\ 0.314\right)</math>

Question 14

Selected values for the functions $I$ and $II$ are shown in the tables below.

A solution to the equation $f\left(x\right)\ =g\left(x\right)$ is

Accepted Answer

Answer

Answer

Answer

Question 15

The expression $I$ is equivalent to

Accepted Answer

Answer

Answer

Answer

Question 16

A number, minus twenty times its reciprocal, equals eight. The number is

Accepted Answer

$I$ or $II$

Answer

$I$ or $II$

Answer

$I$ or $II$

Answer

$I$ or $II$

Question 17

A savings account, $I$ , has an initial value of $II$ . The account grows at a $6\%$ interest rate compounded $7$ times per year, $t$ , according to the function below.

$S\left(t\right)\ =50\ \left(1+\frac{.02}{n}\right)^{nt}$

Which statement about the account is correct?

Accepted Answer

As the value of $I$ increases, the value of the account approaches the function $II$ .

Answer

As the value of $I$ increases, the amount of interest per year decreases.

Answer

As the value of $I$ decreases to one, the amount of interest per year increases.

Answer

As the value of $I$ decreases to one, the value of the account approaches the function $II$ .

Question 18

There are $I$ students in the senior class at Oak Creek High School. All of these students took the SAT. The distribution of their SAT scores is approximately normal. The number of students who scored within $II$ standard deviations of the mean is approximately

Accepted Answer

Answer

Answer

Answer

Question 19

The solution set for the equation $I$ is

Accepted Answer

<math>\left\{8\right\}</math>

Answer

<math>\left\{\ \right\}</math>

Answer

<math>\left\{-8\right\}</math>

Answer

<math>\left\{\pm8\right\}</math>

Question 20

Which table best represents an exponential relationship?

Accepted Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/8e7efa6bb29f0d85423f5eeabc78734e64d2135b.png

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/b6eed92ae5a5a420f79e28ca6c82a48cd6f126c0.png

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/e52085a4fe5ce834f9c65a852b365250ffeaf0c1.png

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/af25093973c32f81d7d982ed4df674d1ab1049ac.png

Question 21

A sketch of $I$ is shown below.

An equation for $f\left(x\right)$ could be

Accepted Answer

<math>r\left(x\right)=\left(x-a\right)\left(x+b\right)\left(x+c\right)^2</math>

Answer

<math>r\left(x\right)=\left(x+a\right)\left(x-b\right)\left(x-c\right)^{ }</math>

Answer

<math>r\left(x\right)=\left(x-a\right)\left(x+b\right)\left(x+c\right)^{ }</math>

Answer

<math>r\left(x\right)=\left(x+a\right)\left(x-b\right)\left(x-c\right)^2</math>

Question 22

The temperature, in degrees Fahrenheit, in Times Square during a day in August can be predicted by the function $I$ , where $II$ is the number of hours after midnight. According to this model, the predicted temperature, to the nearest degree Fahrenheit, at 7 P.M. is

Accepted Answer

Answer

Answer

Answer

Question 23

Consider the system of equations below:

$I\ \left(x-y\right)^2=x^2+y^2$

$II\ \left(x+y\right)^3=x^3+3xy+y^3$

$\$12.50$

Which number is not the value of any variable in the solution of the system?

Accepted Answer

Answer

Answer

Answer

Question 24

Camryn puts $I$ into a savings account that earns $II$ annually. The amount in her account can be modeled by $6\%$ where $7$ is the time in years. Which expression best approximates the amount of money in her account using a weekly growth rate?

Accepted Answer

Answer

Answer

Answer

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