SAT Math: Advanced Math

$\bf{7m = 5(n+p)}$

The given equation relates the positive numbers $m$, $n$, and $p$. Which equation correctly gives $n$ in terms of $m$ and $p$?

At the time that an article was first featured on the home page of a news website, there were $40$ comments on the article. An exponential model estimates that at the end of each hour after the article was first featured on the home page, the number of comments on the article had increased by $190$ of the number of c...

For the exponential function $f$, the value of $f(1)$ is $k$, where $k$ is a constant. Which of the following equivalent forms of the function $f$ shows the value of $k$ as the coefficient or the base?

An object is kicked from a platform. The equation $h = -4.9t^2 + 7t + 9$ represents this situation, where $h$ is the height of the object above the ground, in meters, $t$ seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?

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

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

$f(x) = (1.84)^{\frac{x}{4}}$

The function $f$ is defined by the given equation. The equation can be rewritten as $f(x) = (1 + \frac{p}{100})^x$, where $p$ is a constant. Which of the following is closest to the value of $p$?

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 expression is equivalent to $x^2 + 3x - 40$?

A right rectangular prism has a height of $9$ inches. The length of the prism's base is $x$ inches, which is $7$ inches more than the width of the prism's base. Which function $V$ gives the volume of the prism, in cubic inches, in terms of the length of the prism's base?