Free Digital SAT Practice Questions (382 Items) | Test Citadel
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Digital SAT Practice Questions

Access 382 official-caliber practice questions. Filter by subject or difficulty to pinpoint your cognitive blind spots.

Showing 22 of 382 items Page 16 of 16
Math Hard (710)

In the standard coordinate plane, a circle has the general equation $x^2 + y^2 - 8x + 10y - 8 = 0$. What is the area of this circle, in square units?...

Question #1309 Solve & Check Answer →
Math Hard (760)

In the $xy$-plane, the graph of the parabola $y = x^2 - 6x + c$ intersects the line $y = 2x - 1$ at exactly one point. What is the value of the constant $c$?...

Question #1321 Solve & Check Answer →
Math Hard (760)

In the $xy$-plane, the graph of the parabola $y = x^2 + 4x + c$ intersects the line $y = -2x + 5$ at exactly one point. What is the value of the constant $c$?...

Question #1322 Solve & Check Answer →
Math Hard (760)

In the $xy$-plane, the graph of the parabola $y = x^2 - 2x + c$ intersects the line $y = 4x - 10$ at exactly one point. What is the value of the constant $c$?...

Question #1323 Solve & Check Answer →
Math Hard (760)

In the $xy$-plane, the graph of the parabola $y = 2x^2 - 4x + c$ intersects the line $y = 4x - 9$ at exactly one point. What is the value of the constant $c$?...

Question #1324 Solve & Check Answer →
Math Hard (650)

If \(\sin(3x - 10^\circ) = \cos(2x + 25^\circ)\), where all angle measures are acute, what is the value of \(x\)?...

Question #1641 Solve & Check Answer →
Math Hard

In the equation $5x + -7 = kx + 2$, $k$ is a constant. If the equation has no solution, what is the value of $k$?...

Question #2130 Solve & Check Answer →
Math Hard

In the equation $12x + -9 = kx + 14$, $k$ is a constant. If the equation has no solution, what is the value of $k$?...

Question #2132 Solve & Check Answer →
Math Hard

In the equation $2x + 9 = kx + 9$, $k$ is a constant. If the equation is true for all real values of $x$, what is the value of $k$?...

Question #2134 Solve & Check Answer →
Math Hard

In the equation $-6x + 20 = kx + 20$, $k$ is a constant. If the equation is true for all real values of $x$, what is the value of $k$?...

Question #2136 Solve & Check Answer →
Math Hard

In the equation $4x + -8 = kx + -8$, $k$ is a constant. If the equation is true for all real values of $x$, what is the value of $k$?...

Question #2138 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|2x - 7| = 13$?...

Question #2169 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|3x + 5| = 14$?...

Question #2170 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|4 - x| = 9$?...

Question #2171 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|2x + 1| \le 9$?...

Question #2172 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|x - 6| > 4$?...

Question #2173 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|5x - 2| = -3$?...

Question #2174 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|3x - 9| = 0$?...

Question #2175 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|2x - 4| + 5 = 15$?...

Question #2176 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|x + 8| = 2x - 1$?...

Question #2177 Solve & Check Answer →
Math Hard

What is the set of all solutions to the statement $|4x - 12| \le 0$?...

Question #2178 Solve & Check Answer →
Math Hard

In the system of equations below, the constants are unknown: $$\begin{cases} 4x - 6y = 12 \\ 2x - ky = 5 \end{cases}$$ If the system has no solution, what is th...

Question #2194 Solve & Check Answer →
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