Which expression represents the product of $\left(x^{-6}y^{3}z^{5}\right)$ and $\left(x^{4}z^{5}+y^{8}z^{-7}\right)$? 

$v^{2}=\frac{LT}{m}$

The formula above expresses the square of the speed $v$ of a wave moving along a string in terms of tension $T$, mass $m$, and length $L$ of the string. What is $T$ in terms of $m$, $v$, and $L$ ?

The table above gives the values of the function $f$ for some values of $x$. Which of the following equations could define $f$?

Which of the following is equivalent to the sum of $3x^{4}+2x^{3}$ and $4x^{4}+7x^{3}$?

A company opens an account with an initial balance of $\$36,100.00$. The account earns interest, and no additional deposits or withdrawals are made. The account balance is given by an exponential function $A$, where $A(t)$ is the account balance, in dollars, $t$ years after the account is opened. The account balance after 13 years is $\$68,071.93$. Which equation could define $A$?

Which of the following expressions is equivalent to $\frac{x^{2}-2x-5}{x-3}$

The equation $\frac{x^{2}+6x-7}{x+7}=ax+d$ is true for all $x\neq-7$, where $a$ and $d$ are integers. What is the value of $a+d$?

A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object is launched off an elevated surface. The model indicates the object has an initial height of 10 feet above the ground and reaches its maximum height of 1,034 feet above the ground 8 seconds after being launched. Based on the model, what is the height, in feet, of the object above the ground 10 seconds after being launched?

The area $A$, in square centimeters, of a rectangular painting can be represented by the expression $w(w+29)$, where $w$ is the width, in centimeters, of the painting. Which expression represents the length, in centimeters, of the painting?

Which expression is equivalent to $\left(2x^{2}+x-9\right)+\left(x^{2}+6x+1\right)$?

Which expression is equivalent to $9x^{2} + 7x^{2} + 9x^{2}$?

$$g(x)=11\left(\frac{1}{12}\right)^{x}$$

If the given function $g$ is graphed in the $xy$-plane, where $y=g(x)$, what is the $y$-intercept of the graph?

$\frac{x^{2}}{25}=36$

What is a solution to the given equation?

$T=0.01(P-40,000)$

In a city, the property tax $T$, in dollars, is calculated using the formula above, where $P$ is the value of the property, in dollars. Which of the following expresses the value of the property in terms of the property tax?

The function $h$ is defined by $h(x)=a^{x}+b$, where $a$ and $b$ are positive constants. The graph of $h(x)$ in the $xy$-plane passes through the points $(0,10)$ and $(-2,\frac{325}{36})$. What is the value of $ab$?

$x+7=10$

$(x+7)^{2}=y$

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

Which expression is equivalent to $\dfrac{y+12}{x-8}+\dfrac{y(x-8)}{x^{2}y-8xy}$?

$N(d)=115(0.90)^{d}$

The function $N$ defined above can be used to model the number of species of brachiopods at various ocean depths $d$, where $d$ is in hundreds of meters. Which of the following does the model predict?

A model predicts that the population of Springfield was 15,000 in 2005. The model also predicts that each year for the next 5 years, the population $\bm{p}$ increased by 4% of the previous year's population. Which equation best represents this model, where $\bm{x}$ is the number of years after 2005, for $\bm{x}$ $\leq$ 5?

$h(t)=-16t^{2}+110t+72$

The function above models the height $h$, in feet, of an object above ground $t$ seconds after being launched straight up in the air. What does the number $72$ represent in the function?

The function $\bm{f}(\bm{x})=206(1.034)^{x}$ models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where $\bm{x}$ is the number of years after 1957. Which of the following is the best interpretation of " $\bm{f}(5)$ is approximately equal to 243" in this context?

Which expression is equivalent to $5x^{2}-50xy^{2}$?

The function $g$ is defined by $g(x)=x^{2}+9$. For which value of $x$ is $g(x)=25$?

The function $f$ is defined by $f(x)=270(0.1)^{x}$. What is the value of $f(0)$?

$x^{2}=6x+y$ 
$y=-6x+36$

A solution to the given system of equations is $(x,y)$. Which of the following is a possible value of $xy$?