Digital SAT Practice Questions
Access 772 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.
Find the value of $f(-1)$ if $f(x) = -x^3 + 2x^2 - 4x + 1$....
If the function $f$ satisfies $f(x) = 4$ for all $x$, what is $f(100)$?...
Determine the axis of symmetry for $y = -x^2 + 10x - 21$....
If $g(x) = \frac{1}{x - 3}$, what value is excluded from the range of $g$?...
If $f(x) = 3x + 2$, what is the value of $\frac{f(x+h) - f(x)}{h}$ for $h \ne 0$?...
At what points do the graphs of $y = x^2$ and $y = 2x$ intersect?...
The function $p(t) = 150(1.5)^t$ represents population. By what factor does it grow when $t$ increases by 2?...
If $f(x) = x^3 - 1$, what is the value of $f^{-1}(26)$?...
For what value of $x$ does the graph of $f(x) = 2x^2 - 8x$ attain its minimum?...
If $f(x) = \frac{x+4}{2}$, what is $f^{-1}(x)$?...
What is the domain of $g(x) = \frac{1}{\sqrt{x - 7}}$?...
If $f(x) = x^2 - 2x + 3$, what is $f(a + 1)$ in expanded form?...
How many real solutions exist for the system $y = x^2 + 4$ and $y = 3$?...
If $f(x) = 4x - 1$ and $g(x) = x + 3$, for what $x$ is $f(x) = g(x)$?...
The maximum of $y = -3(x - 1)^2 + 12$ is located at $(h, k)$. What is $h + k$?...
If $f(x) = 2x - 3$, what is $f(f(2))$?...
Which function represents reflection of $f(x) = x^3 - 2x$ over the $y$-axis?...
Find the range of $y = (x - 4)^2 + 5$....
If $h(x) = 5x - 7$, evaluate $\frac{h(4) - h(1)}{3}$....
If $f(x) = x^2 - 9$ and $g(x) = x - 3$, what is $\frac{f(x)}{g(x)}$ for $x \ne 3$?...
Given $g(x) = 3 - 2x$, what is $g^{-1}(7)$?...
Which value of $x$ is NOT in the domain of $f(x) = \frac{x - 2}{x^2 - 16}$?...
If $f(x) = x^2 + 1$, what is $f(2x)$?...
Solve for $x$ where $2(3)^{x} = 54$....
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