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The height, in feet, of an object x seconds after it is thrown straight up in the air can be modeled by the function . Based on the model, which of the following statements best interprets the equation ?

The speed of sound in dry air, v, can be modeled by the formula , where T is the temperature in degrees Celsius and v is measured in meters per second. Which of the following correctly expresses T in terms of v ?

The function $f$ is defined by $f\left(x\right)=x^3+9$. What is the value of $f\left(2\right)$?

Which expression is equivalent to $\left(7x^3+7x\right)-\left(6x^3-3x\right)$?

$x\left(x+1\right)-56=4x\left(x-7\right)$

What is the sum of the solutions to the given equation?

When the quadratic function $f$ is graphed in the xy-plane, where $y=f\left(x\right)$, its vertex is $\left(-3,6\right)$. One of the x-intercepts of this graph is $\left(-\frac{17}{4},0\right)$. What is the other x-intercept of the graph?

The function f is defined by . The graph of f in the xy-plane is a parabola. Which of the following intervals contains the x-coordinate of the vertex of the graph of f ?

If is a solution to the system of equations above, which of the following is a possible value of x?

An engineer wanted to identify the best angle for a cooling fan in an engine in order to get the greatest airflow. The engineer discovered that the function above models the airflow , in cubic feet per minute, as a function of the angle of the fan , in degrees. According to the model, what angle, in degrees, gives the greatest airflow?

$p=20+\frac{16}{n}$

The given equation relates the numbers $p$ and $n$, where $n$ is not equal to $0$ and $p>20$. Which equation correctly expresses $n$ in terms of $p$?

The function $f\left(t\right)=\mathrm{60,000}{\left(2\right)}^{\frac{t}{410}}$ gives the number of bacteria in a population $t$ minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

$y=\left(x-2\right)\left(x+4\right)$

$y=6x-12$

Which ordered pair $\left(x,y\right)$ is the solution to the given system of equations?

Which expression is equivalent to $6x^8{y}^2+12x^2{y}^2$?

$\frac{1}{7b}=\frac{11x}{y}$

The given equation relates the positive numbers $b$, $x$, and $y$. Which equation correctly expresses $x$ in terms of $b$ and $y$?

Sara opened a savings account at a bank. The table shows the exponential relationship between the time $t$, in years, since Sara opened the account and the total amount $d$, in dollars, in the account. If Sara made no additional deposits or withdrawals, which of the following equations best represents the relationship between $t$ and $d$?

A landscaper is designing a rectangular garden. The length of the garden is to be 5 feet longer than the width. If the area of the garden will be 104 square feet, what will be the length, in feet, of the garden?

$P\left(t\right)=290{\left(1.04\right)}^{\left(\frac{4}{6}\right)t}$

The function $P$ models the population, in thousands, of a certain city $t$ years after $2005$. According to the model, the population is predicted to increase by $n\%$ every $18$ months. What is the value of $n$?

Which of the following is equivalent to ?

In the xy-plane, the graph of intersects line p at and , where a and b are constants. What is the slope of line p ?

Which expression is equivalent to $a^{\frac{11}{12}}$, where $a>0$?

Which of the following is equivalent to ?

For the function $f$, $f\left(0\right)=86$, and for each increase in $x$ by $1$, the value of $f\left(x\right)$ decreases by $80\%$. What is the value of $f\left(2\right)$?

The equation above models the number of members, M, of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?

A certain college had 3,000 students enrolled in 2015. The college predicts that after 2015, the number of students enrolled each year will be 2% less than the number of students enrolled the year before. Which of the following functions models the relationship between the number of students enrolled, , and the number of years after 2015, x ?

The function $f\left(x\right)=\mathrm{200,000}{\left(1.21\right)}^x$ gives a company’s predicted annual revenue, in dollars, $x$ years after the company started selling light bulbs online, where $0<x\le 10$. What is the best interpretation of the statement “$f\left(5\right)$ is approximately equal to $\mathrm{518,748}$” in this context?