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If a is a solution of the equation above and , what is the value of a ?

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

The function f is defined as shown. Which of the following graphs in the xy-plane could be the graph of ?

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

In the xy-plane, the graph of intersects the graph of at the points and . What is the value of a ?

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?

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

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?

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

One of the factors of $2x^3+42x^2+208x$ is $x+b$, where $b$ is a positive constant. What is the smallest possible value of $b$?

$x+7=10$

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

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

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

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 table shows three values of $x$ and their corresponding values of $y$, where $y=f\left(x\right)+4$ and $f$ is a quadratic function. What is the y-coordinate of the y-intercept of the graph of $y=f\left(x\right)$ in the xy-plane?

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

What is a solution to the given equation?

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

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

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

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

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

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 $\mathrm{1,034}$ 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 equation is true for all , where a and d are integers. What is the value of ?

Which of the following expressions is equivalent to  ?

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

Which of the following is equivalent to the sum of and ?

The expression above can be written in the form , where a and b are constants. What is the value of ?