Question 1

A group of high school students wanted to collect information on how many times per week students exercised. If they want the least biased results they should survey every fifth student at the school who is

30

entering the building

entering the library

in the junior class

entering the gym

Accepted Answer

entering the building

Answer

entering the library

Answer

in the junior class

Answer

entering the gym

Question 2

Given $x
e-3$ , which expression is equivalent to $\frac{2x^3+3x^2-4x+5}{x+3}$ ?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 3

The table below shows the food preferences of sports fans whose favorite sport is football or baseball.

The probability that a fan prefers pizza given that the fan prefers football is

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 4

If $x
e-3$ , then the inverse function $\frac{2x^3+3x^2-4x+5}{x+3}$ is

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 5

The graph of a quadratic function is shown below.

When the graph of $x+y=4$ is drawn on the same axes, one solution to this system is

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 6

What is the solution of $x
e-3$ ?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 7

In a survey of people who recently bought a laptop, $x
e-3$ said they were looking for a large screen, $\frac{2x^3+3x^2-4x+5}{x+3}$ said they were looking for a fast processor, and $58\%$ said they wanted a large screen or a fast processor. If a survey respondent is selected at random, what is the probability that the respondent wanted both a large screen and a fast processor?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 8

In the quadratic formula, $x
e-3$ is called the discriminant. The function $\frac{2x^3+3x^2-4x+5}{x+3}$ has a discriminant value of $58\%$ , and $g(x)$ has a discriminant value of $-16$ . The quadratic graphs, $h(x)$ and $j(x)$ , are shown below.

Which quadratic functions have imaginary roots?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$ and $x+y=4$

Answer

$2x^2-3x+5-\frac{10}{x+3}$ and $x+y=4$

Answer

$2x^2-3x+5-\frac{10}{x+3}$ and $x+y=4$

Answer

$2x^2-3x+5-\frac{10}{x+3}$ and $x+y=4$

Question 9

The element Americium has a half-life of $x
e-3$ minutes. Given an initial amount, $\frac{2x^3+3x^2-4x+5}{x+3}$ , which expression could be used to determine the amount of Americium remaining after $58\%$ minutes?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 10

Which function has the greatest $x
e-3$ -intercept?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 11

According to the USGS, an agency within the Department of Interior of the United States, the frog population in the U.S. is decreasing at the rate of $x
e-3$ per year. A student created a model, $\frac{2x^3+3x^2-4x+5}{x+3}$ , to estimate the population in a pond after $58\%$ years. The student then created a model that would predict the population after $g(x)$ decades. This model is best represented by

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 12

What is the value of $x
e-3$ when $\frac{2x^3+3x^2-4x+5}{x+3}$ and $58\%$ is in quadrant $g(x)$ ?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 13

A population is normally distributed with a mean of $x
e-3$ and a standard deviation of $\frac{2x^3+3x^2-4x+5}{x+3}$ . The percentage of the population that falls below $58\%$ , to the nearest hundredth, is

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 14

Audra is interested in studying the number of students entering kindergarten in the Ahlville Central School District over the next several years. Using data dating back to $x
e-3$ , she determines that the number of kindergarteners is decreasing at an exponential rate. She creates a formula to model this situation $\frac{2x^3+3x^2-4x+5}{x+3}$ , where $58\%$ is the number of years since $g(x)$ and $-16$ is the number of students entering kindergarten. If there were $h(x)$ students entering kindergarten in Ahlville in $j(x)$ , which statement about Audra’s formula is true?

Accepted Answer

Both $x
e-3$ and $\frac{2x^3+3x^2-4x+5}{x+3}$ are positive.

Answer

$2x^2-3x+5-\frac{10}{x+3}$ is negative and $x+y=4$ is positive.

Answer

$2x^2-3x+5-\frac{10}{x+3}$ is positive and $x+y=4$ is negative.

Answer

Both $x
e-3$ and $\frac{2x^3+3x^2-4x+5}{x+3}$ are negative.

Question 15

The solution set for the equation $x
e-3$ is

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 16

The George family would like to borrow $x
e-3$ to purchase a new boat. They qualified for a loan with an annual interest rate of $\frac{2x^3+3x^2-4x+5}{x+3}$ . The monthly loan payment can be found using the formula below.

$M=\frac{P\left(\frac{r}{12}\right)\left(1+\frac{r}{12}\right)^n}{\left(1+\frac{r}{12}\right)^n-1}$

$M$ = monthly payment

$P$ = amount borrowed

$j(x)$ = annual interest rate

$n$ = number of monthly payments

What is the monthly payment if they would like to pay off the loan in five years?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 17

A retailer advertises that items will be discounted by $x
e-3$ every Monday until they are sold. In how many weeks will an item costing $\frac{2x^3+3x^2-4x+5}{x+3}$ first be sold for under half price?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 18

The graph of the function $x
e-3$ is shown below.

In which interval is $f(x)$ always positive?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 19

If $x
e-3$ and $\frac{2x^3+3x^2-4x+5}{x+3}$ , then how many real solutions are there to the equation $58\%$ ?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 20

Which expression is a factor of $x
e-3$ ?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 21

The expression $x
e-3$ is equivalent to

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 22

Stone Manufacturing has developed a cost model, $x
e-3$ , where x is the number of sprockets sold, in thousands. The sale price can be modeled by $\frac{2x^3+3x^2-4x+5}{x+3}$ and the company’s revenue by $58\%$ .The company profits, $g(x)$ , could be modeled by

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 23

Which function is even?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Question 24

The graph of a cubic polynomial function $x
e-3$ is shown below.

If $f(x)$ is written as a product of linear factors, which factor would appear twice?

Accepted Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

Answer

$2x^2-3x+5-\frac{10}{x+3}$

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