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$-x^2+bx-676=0$

In the given equation, $b$ is a positive integer. The equation has no real solution. What is the greatest possible value of $b$?

$p=\frac{k}{4j+9}$

The given equation relates the distinct positive numbers $p$, $k$, and $j$. Which equation correctly expresses $4j+9$ in terms of $p$ and $k$?

If $3x^2-18x-15=0$, what is the value of $x^2-6x$?

In the xy-plane, what is the y-coordinate of the point of intersection of the graphs of and  ?

In the equation above, t is a constant. If the equation has no real solutions, which of the following could be the value of t ?

$14j+5k=m$

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

$x\left(kx-56\right)=-16$

In the given equation, $k$ is an integer constant. If the equation has no real solution, what is the least possible value of $k$?

$-4x^2-7x=-36$

What is the positive solution to the given equation?

$\frac{14x}{7y}=2\sqrt{w+19}$

The given equation relates the distinct positive real numbers $w$, $x$, and $y$. Which equation correctly expresses $w$ in terms of $x$ and $y$?

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 ?

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 ?

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

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

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

What is one possible solution to the given equation?

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

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

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

What is the positive solution to the given equation?

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

How many distinct real solutions does the given equation have?

$z^2+10z-24=0$

What is one of the solutions to the given equation?

$5x^2+10x+16=0$

How many distinct real solutions does the given equation have?

If and are the two solutions to the system of equations above, what is the value of ?

If , what is t in terms of u ?

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

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

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

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

$8j=k+15m$

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