Digital SAT Practice Questions

If $\frac{x^2 - c}{x - 4} = x + 4$ for all $x \ne 4$, what is the value of $c$?...

Consider $P(x) = -3x^4 + 2x^2 - 5$. As $x \to \infty$, what does $P(x)$ approach?...

How many real zeros does the graph of $f(x) = (x - 1)^2(x + 3)(x - 5)^3$ have?...

At which zero does the graph of $y = (x - 2)^2(x + 1)$ touch the $x$-axis without crossing?...

What is the degree of the polynomial $f(x) = (x^2 + 1)(x - 3)^3(x + 2)$?...

Which of the following functions has a graph that crosses the $x$-axis at $(-3, 0), (0, 0),$ and $(4, 0)$?...

Determine the end behavior of $g(x) = 2x^5 - 4x^3 + x$. As $x \to -\infty$, $g(x) \to$:...

If $f(x) = x^3 - 6x^2 + 11x - 6$, what is the sum of its roots?...

What is the product of the roots of $x^3 - 4x^2 + x - 8 = 0$?...

The graph of $y = (x - a)(x - b)$ has a minimum value at $x = 7$. What is the sum $a + b$?...

If $p(x) = x^2 - 5x + 6$, for what values of $x$ is $p(x) < 0$?...

Find the remainder when $x^{100} - 1$ is divided by $(x - 1)$....

Which polynomial has zeros at $x = 2$ of multiplicity 2, and $x = -1$ of multiplicity 1?...

Solve for $x$: $\frac{x^2 - 25}{x - 5} = 10$....

If $f(x) = x^2 - 4x + 3$, what are the zeros of $f(x + 2)$?...

What is the equation of the vertical asymptote of $g(x) = \frac{2x + 1}{3x - 6}$?...

Given that $a - b = 6$ and $a^2 - b^2 = 72$, what is the value of $a$?...

If $x + \frac{1}{x} = 5$, what is the value of $x^2 + \frac{1}{x^2}$?...

If $x^2 + y^2 = 40$ and $xy = 12$, what is $(x + y)^2$?...

What is the value of $\frac{x^3 - 8}{x - 2}$ when $x = 5$?...

If $f(x) = 2x^2 - 3x + 1$, what is the value of $f(x + 1) - f(x)$?...

If $f(x) = 3x - 5$ and $g(x) = x^2 + 2$, what is $(g \circ f)(2)$?...

For what value of $x$ does the expression $\frac{x^2 - 4}{x - 2}$ equal 7?...

If $\frac{a}{b} = 3$, what is the value of $\frac{4a + 2b}{b}$?...