Digital SAT Practice Questions

If $x - 4 = \sqrt{x + 2}$, what is the value of $x$?...

Find the solution to $x - 3 = \sqrt{x + 9}$....

If $2(x - 3)(x + 4) = 0$, what is the distance between the two solutions on the number line?...

What is the minimum value of the quadratic function $g(x) = 2x^2 - 12x + 25$?...

If $(2x - 3)^2 = 4x^2 - mx + 9$, what is the value of $m$?...

For all $x \ne \pm 2$, simplify $\frac{x - 2}{x^2 - 4} + \frac{1}{x + 2}$....

If $f(x) = 3x^2 + 5$ and $g(x) = 2x - 1$, find the value of $f(g(2))$....

Function $f(x) = 2x - 7$. What is the value of $f(3x + 1)$?...

Given $g(x) = x^2 - 3x$, what is $g(x - 2)$?...

If $h(x) = 4 - 3x$, what is the formula for the inverse function $h^{-1}(x)$?...

The graph of $y = f(x)$ is shifted 4 units to the right and 3 units down. What is the new equation?...

Let $f(x) = \sqrt{2x + 6}$. What is the domain of $f(x)$?...

If $f(x) = 5x - 2$ and $g(x) = 2x + k$, and $(f \circ g)(1) = 13$, what is $k$?...

A function $f$ is an even function. If $f(4) = -9$, what is the value of $f(-4)$?...

A function $h$ is an odd function. If $h(-3) = 7$, what is the value of $h(3)$?...

If $f(x) = 3x^2 - 5$, what is $f(-2)$?...

For the function $f(x) = (x - 1)^2 - 4$, on which interval is $f(x)$ decreasing?...

The function $f(x) = x^2$ is stretched vertically by a factor of 3 and reflected over the $x$-axis. What is the equation?...

Given $f(x) = 2x + 1$ and $g(x) = x^2 - 1$, find $(g \circ f)(x)$....

If $f(x) = \frac{2x - 1}{x + 3}$, for what value of $x$ does $f(x) = 1$?...

What is the range of $f(x) = -2(x - 3)^2 + 8$?...

Find the intersection points of $y = x^2 - 2x$ and $y = 3$....

If $f(x) = |x - 4| + 2$, what is the minimum value of $f(x)$?...

The line $y = 2x + 1$ intersects the parabola $y = x^2 + 1$ at how many points?...