SAT Math: Advanced Math

The function $f$ is defined by $f(x) = 80 - 6x$. What is the value of $f(7)$?

The function $h$ is defined by $h(x) = 3x - 7$. What is the value of $h(-2)$?

The table shows three values of $x$ and their corresponding values of $g(x)$, where $g(x) = \frac{f(x)}{x+3}$ and $f$ is a linear function. What is the $y$-intercept of the graph of $y = f(x)$ in the $xy$-plane?

$\displaystyle p(x) + {57} = x^2$

The given equation relates the value of $x$ and its corresponding value of $p(x)$ for the function $p$. What is the minimum value of the function $p$?

The function $P$ gives the predicted population, in millions, of a certain country for the period from $1984$ to $2018$, where $t$ is the number of years after $1984$. According to the model, what is the best interpretation of the statement “$P(8)$ is approximately equal to $32.91$”?

The function $f$ is defined by $f(x) = (-8)(2)^{x} + 22$. What is the $y$-intercept of the graph of $y = f(x)$ in the $xy$-plane?

A rectangle has a length that is $15$ times its width. The function $y = (15w)(w)$ represents this situation, where $y$ is the area, in square feet, of the rectangle and $y > 0$. Which of the following is the best interpretation of $15w$ in this context?

The function $g$ is defined by $g(x) = 10x + 8$. What is the value of $g(x)$ when $x = 8$?