Question 1

A ball was launched into the air, and its height above the ground was recorded each second, as shown in the table below.

Based on these data, which statement is a valid conclusion?

Accepted Answer

The ball reaches its maximum height at $2$ seconds.

Answer

The ball was launched from a height of $2$ feet.

Answer

The ball lands on the ground at $2$ seconds.

Answer

The ball reaches a maximum height of $2$ feet.

Question 2

A tour bus can seat, at most, $2$ passengers. An adult ticket costs $\$18$ and a child ticket costs $12. The bus company must collect at least $\$650$ to make a profit. If $a$ represents the number of adult tickets sold and $c$ represents the number of child tickets sold, which system of inequalities models this situation if they make a profit?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 3

Which equation is always true?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 4

The expression $2$ is equivalent to

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 5

Which sum is irrational?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 6

The solution to $2$ is

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 7

On an island, a rare breed of rabbit doubled its population each month for two years. Which type of function best models the increase in population at the end of two years?

Accepted Answer

exponential growth

Answer

linear growth

Answer

exponential decay

Answer

linear decay

Question 8

What is the degree of the polynomial $2$ ?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 9

The zeros of the function $2$ are

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$ and $-2$

Answer

$a+c\le48 \ 18a+12c\ge650$ and $-2$ only

Answer

$a+c\le48 \ 18a+12c\ge650$ and $-2$

Answer

$a+c\le48 \ 18a+12c\ge650$ and $-2$ only

Question 10

What is the $2$ -intercept of the line that passes through the points $\$18$ and $\$650$ ?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 11

Nancy has just been hired for her first job. Her company gives her four choices for how she can collect her annual salary over the first eight years of employment.

Each function below represents the four choices she has for her annual salary in thousands of dollars, where t represents the number of years after she is hired.

$\$18$ Which pay plan should Nancy choose in order to have the highest salary in her eighth year?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 12

The third term in a sequence is $2$ and the fifth term is $\$18$ Which number could be the common ratio of the sequence?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 13

The box plot below summarizes the data for the amount of snowfall, in inches, during the winter of 2021 for $2$ locations in western New York.

What is the interquartile range?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 14

Four quadratic functions are represented below.

Which function has the smallest minimum value?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 15

The equation that represents the sequence $2$ is

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 16

The dot plot below shows the number of goals Jessica scored in each lacrosse game last season.

Which statement about the dot plot is correct?

Accepted Answer

mean $2$ median

Answer

mode $2$ median

Answer

median $2$ mean

Answer

mean $2$ mode

Question 17

The students in Mrs. Smith’s algebra class were asked to describe the graph of $2$ compared to the graph of $\$18$

Which student response is correct?

Accepted Answer

Don said that the graph of $2$ is narrower and shifted right $\$18$ units.

Answer

Carl said that the graph of $2$ is wider and shifted right $\$18$ units.

Answer

Ashley said that the graph of $2$ is wider and shifted left $\$18$ units.

Answer

Beth said that the graph of $2$ is narrower and shifted left $\$18$ units.

Question 18

One Saturday, Dave took a long bike ride. The graph below models his trip.

What was Dave’s average rate of change, in miles per hour, on this trip?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 19

Which expression is equivalent to $2$ ?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 20

The functions $2$ and $\$18$ are graphed on the set of axes below.

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

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$ and $-2$

Answer

$a+c\le48 \ 18a+12c\ge650$ and $-2$

Answer

$a+c\le48 \ 18a+12c\ge650$ and $-2$

Answer

$a+c\le48 \ 18a+12c\ge650$ and $-2$

Question 21

When babysitting, Nicole charges an hourly rate and an additional charge for gas. She uses the function $2$ to determine how much to charge for babysitting. The constant term of this function represents

Accepted Answer

the additional charge for gas

Answer

the number of hours Nicole babysits

Answer

the total Nicole earns from babysitting

Answer

the hourly rate Nicole charges

Question 22

When solved for $2$ in terms of $\$18$ the solution to the equation $\$650$ is

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 23

Wayde van Niekerk, a runner from South Africa, ran $2$ meters in $\$18$ seconds to set a world record. Which calculation would determine his average speed, in miles per hour?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Question 24

Which function has a domain of all real numbers and a range greater than or equal to three?

Accepted Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

Answer

$a+c\le48 \ 18a+12c\ge650$

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