$y=(x-2)(x+4)$

$y=6x-12$

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

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

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 $p$?

$f(\theta)=-0.28(\theta-27)^{2}+880$

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 $\bm{f}(\bm{\theta})$, in cubic feet per minute, as a function of the angle of the fan $\bm{\theta}$, in degrees. According to the model, what angle, in degrees, gives the greatest airflow?

$x+y=12$

$y=x^{2}$

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

The function $f$ is defined by $f(x)=(x+3)(x+1)$ . 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 $f$ ?

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

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

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

The speed of sound in dry air, $v$, can be modeled by the formula $v=331.3+0.606T$, 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 height, in feet, of an object $x$ seconds after it is thrown straight up in the air can be modeled by the function $h(x)=-16x^{2}+20x+5$. Based on the model, which of the following statements best interprets the equation $h(1.4)=1.64$ ?

A ball is dropped from an initial height of 22 feet and bounces off the ground repeatedly. The function $h$ estimates that the maximum height reached after each time the ball hits the ground is 85% of the maximum height reached after the previous time the ball hit the ground. Which equation defines $h$, where $h(n)$ is the estimated maximum height of the ball after it has hit the ground $n$ times and $n$ is a whole number greater than $1$ and less than 10?

The table above gives selected values of a polynomial function $p$. Based on the values in the table, which of the following must be a factor of $p$?

$8x+y=-11$

$2x^{2}=y+341$

The graphs of the equations in the given system of equations intersect at the point $(x,y)$ in the $xy$-plane. What is a possible value of $x$?

$8j=k+15m$

The given equation relates the distinct positive numbers $j$, $k$, and $m$. Which equation correctly expresses $j$ in terms of $k$ and $m$?

In the $xy$-plane, a parabola has vertex $(9,-14)$ and intersects the $x$-axis at two points. If the equation of the parabola is written in the form $\bm{y}=a\bm{x}^{2}+b\bm{x}+\bm{c}$, where $\bm{a}$, $\bm{b}$, and $\bm{c}$ are constants, which of the following could be the value of $\bm{a}+\bm{b}+\bm{c}$?

An object's kinetic energy, in joules, is equal to the product of one-half the object's mass, in kilograms, and the square of the object's speed, in meters per second. What is the speed, in meters per second, of an object with a mass of 4 kilograms and kinetic energy of 18 joules?

$f(x)=2(3^{x})$

For the function $f$ defined above, what is the value of $f(2)$?

$$\frac{x^{2}}{\sqrt{x^{2}-c^{2}}}=\frac{c^{2}}{\sqrt{x^{2}-c^{2}}}+39$$

In the given equation, $c$ is a positive constant. Which of the following is one of the solutions to the given equation?

$$-9x^{2}+30x+c=0$$

In the given equation, $c$ is a constant. The equation has exactly one solution. What is the value of $c$?

If $u-3=\frac{6}{t-2}$, what is $t$ in terms of $u$?

$$f(t)=8,000(0.65)^{t}$$

The given function $f$ models the number of coupons a company sent to their customers at the end of each year, where $t$ represents the number of years since the end of 1998, and $0\leq t\leq 5$. If $y=f(t)$ is graphed in the $ty$-plane, which of the following is the best interpretation of the $y$-intercept of the graph in this context?

For the quadratic function $f$, the table shows three values of $x$ and their corresponding values of $f(x)$. Which equation defines $f$?

The expression $2x^{2}+ax$ is equivalent to $x(2x+7)$ for some constant $a$. What is the value of $a$ ?

The function $f(w)=6w^{2}$ gives the area of a rectangle, in square feet $\left(\text{ft}^{2}\right)$, if its width is $w$ $\text{ft}$ and its length is $6$ times its width. Which of the following is the best interpretation of $f(14)=1,176$?

$y=x^{2}+2x+1$

$x+y+1=0$

If $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are the two solutions to the system of equations above, what is the value of $y_{1}+y_{2}$?