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Which of the following is equivalent to the expression above?

In the expression  , p is a constant. This expression is equivalent to the expression . What is the value of p ?

Which of the following is a solution to the given equation?

In the equation above, a is a constant and . If the equation has two integer solutions, what is a possible value of a ?

From 2005 through 2014, the number of music CDs sold in the United States declined each year by approximately 15% of the number sold the preceding year. In 2005, approximately 600 million CDs were sold in the United States. Of the following, which best models C, the number of millions of CDs sold in the United States, t years after 2005?

What is the solution set of the equation above?

The graph of the function f, defined by , is shown in the xy-plane above. If the function g (not shown) is defined by , what is one possible value of a such that ?

The expression $\frac{24}{6x+42}$ is equivalent to $\frac{4}{x+b}$, where b is a constant and $x>0$. What is the value of b?

$x^2-34x+c=0$

In the given equation, $c$ is a constant. The equation has no real solutions if $c>n$. What is the least possible value of $n$?

If during this time the population of the city decreases by a fixed percent each year, which of the following must be true?

Which expression is equivalent to ?

The graph of $y=f\left(x\right)$ is shown in the xy-plane. What is the value of $f\left(0\right)$?

The graph gives the estimated number of catalogs $y$, in thousands, a company sent to its customers at the end of each year, where $x$ represents the number of years since the end of $1992$, where $0\le x\le 10$. Which statement is the best interpretation of the y-intercept in this context?

$f\left(x\right)=(x+6)(x+5)(x-4)$

The function $f$ is given. Which table of values represents $y=f\left(x\right)-3$?

$\left(x-5\right)=10$

What is one possible solution to the given equation?

The product of two positive integers is $546$. If the first integer is $11$ greater than twice the second integer, what is the smaller of the two integers?

$f\left(x\right)=\mathrm{5,470}{\left(0.64\right)}^{\frac{x}{12}}$

The function $f$ gives the value, in dollars, of a certain piece of equipment after $x$ months of use. If the value of the equipment decreases each year by $p\%$ of its value the preceding year, what is the value of $p$?

$-16x^2-8x+c=0$

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

The expression , where and , is equivalent to which of the following?

In the xy-plane, the y-coordinate of the y-intercept of the graph of the function f is c. Which of the following must be equal to c ?

$5x^2-37x-24=0$

What is the positive solution to the given equation?

The expression $4x^2+bx-45$, where $b$ is a constant, can be rewritten as $\left(hx+k\right)\left(x+j\right)$, where $h$, $k$, and $j$ are integer constants. Which of the following must be an integer?

$y=0.25x^2-7.5x+90.25$

The equation gives the estimated stock price $y$, in dollars, for a certain company $x$ days after a new product launched, where $0\le x\le 20$. Which statement is the best interpretation of $\left(x,y\right)=\left(1,83\right)$  in this context?

${\left(x-1\right)}^2=-4$

How many distinct real solutions does the given equation have?

Which expression is a factor of $2x^2+38x+10$?