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When the equations above are graphed in the xy-plane, what are the coordinates (x, y) of the points of intersection of the two graphs?

The function $f$ is defined by $f\left(x\right)=5x^2$. What is the value of $f\left(8\right)$?

If $\left(4x-4\right)=112$, what is the positive value of $x-1$?

Which expression is equivalent to $256w^2-676$?

$h\left(x\right)=x^2-3$

Which table gives three values of $x$ and their corresponding values of $h\left(x\right)$ for the given function $h$?

Bacteria are growing in a liquid growth medium. There were $\mathrm{300,000}$ cells per milliliter during an initial observation. The number of cells per milliliter doubles every $3$ hours. How many cells per milliliter will there be $15$ hours after the initial observation?

Which of the following is equivalent to the given expression?

The rational function $f$ is defined by an equation in the form $f\left(x\right)=\frac{a}{x+b}$, where $a$ and $b$ are constants. The partial graph of $y=f\left(x\right)$ is shown. If  $g\left(x\right)=f\left(x+4\right)$, which equation could define function $g$?

$f\left(x\right)=\left(x-10\right)\left(x+13\right)$

The function $f$ is defined by the given equation. For what value of $x$ does $f\left(x\right)$ reach its minimum?

Which expression is equivalent to $\sqrt[7]{x^9{y}^9}$, where $x$ and $y$ are positive?

The area $A$, in square centimeters, of a rectangular cutting board can be represented by the expression $w\left(w+9\right)$, where $w$ is the width, in centimeters, of the cutting board. Which expression represents the length, in centimeters, of the cutting board?

For the function $q$, the value of $q\left(x\right)$ decreases by $45\%$ for every increase in the value of $x$ by $1$. If $q\left(0\right)=14$, which equation defines $q$?

In the xy-plane, the graph of the equation $y=-x^2+9x-100$ intersects the line $y=c$ at exactly one point. What is the value of $c$?

Which of the following is equivalent to the expression above?

$b=42cf$

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

Two variables, $x$ and $y$, are related such that for each increase of $1$ in the value of $x$, the value of $y$ increases by a factor of $4$. When $x=0$, $y=200$. Which equation represents this relationship?

Which expression is equivalent to $12x^3-5x^3$?

$f\left(x\right)=\frac{a-19}{x}+5$

In the given function $f$, $a$ is a constant. The graph of function $f$ in the xy-plane, where $y=f\left(x\right)$, is translated $3$ units down and $4$ units to the right to produce the graph of $y=g\left(x\right)$. Which equation defines function $g$?

If , which of the following is a possible value of x ?

What is the minimum value of the function f defined by  ?

$38x^2=38\left(9\right)$

What is the negative solution to the given equation?

In the equation above, a and c are positive constants. How many times does the graph of the equation above intersect the graph of the equation in the xy-plane?

Let the function p be defined as , where c is a constant. If , what is the value of ?

What value of x satisfies the equation above?