Digital SAT Practice Questions

In right triangle \( ABC \), the measure of angle \( C \) is \( 90^\circ \). If \( \sin(A) = \frac{3}{5} \), what is the value of \( \cos(B) \)?...

A list of 5 numbers has a mean (average) of 12. If a 6th number, \( n \), is added to the list, the new mean of the 6 numbers becomes 15. What is the value of \...

A system of two linear equations is given below: \[ 3x + 4y = 18 \] \[ 2x - y = 1 \] If the ordered pair \( (x, y) \) is the solution to the system of equations...

The quadratic equation \( 2x^2 - 4x + c = 0 \) has exactly one real solution. What is the value of the constant \( c \)?...

A boutique clothing store increases the price of a winter coat by \( 20\% \) at the start of the season. At the end of the season, the store decreases the new p...

If \( 8^x = 2^{y+1} \), which of the following expressions correctly represents \( y \) in terms of \( x \)?...

The equation of a circle in the \( xy \)-plane is given by \( x^2 + 6x + y^2 - 8y = 11 \). What is the radius of the circle?...

In the system of equations below, \(k\) is a constant: \(\begin{cases} 4x - 6y = 15 \\ kx - 9y = 28 \end{cases}\) If the system has no solutions, what is the va...

For what value of \(c\) does the quadratic equation \(2x^2 - 8x + c = 0\) have exactly one distinct real solution?...

The equation of a circle in the xy-plane is \(x^2 + y^2 - 6x + 8y = 24\). What is the radius of the circle?...

The population of a bacterial colony is modeled by the function \(P(t) = 450(1.24)^{t/3}\), where \(t\) is measured in hours. By what percentage does the popula...

When the polynomial \(P(x) = 2x^3 - 5x^2 + 4x - 7\) is divided by \(x - 2\), what is the remainder?...

What are the vertical asymptotes of the rational function \(f(x) = \frac{x + 4}{x^2 - 9}\)?...

Triangle \(ABC\) is similar to triangle \(DEF\), where vertices \(A, B,\) and \(C\) correspond to \(D, E,\) and \(F\), respectively. If the ratio of side \(AB\)...

A polling institute surveyed a random sample of 400 voters in a city and found a 95% confidence interval with a margin of error of 4.9%. If the institute wishes...

What is the x-coordinate of the single point of intersection between the line \(y = 2x - 2\) and the parabola \(y = x^2 - 4x + 7\)?...

What is the positive solution to the equation \(|3x - 5| = 2x + 10\)?...

A laboratory sample has a density of \(2.5 \text{ g/cm}^3\). Given that \(1 \text{ kg} = 1,000 \text{ g}\) and \(1 \text{ m}^3 = 1,000,000 \text{ cm}^3\), what ...

A list of 7 home sale prices in a suburban neighborhood has a median of $340,000. If an eighth home selling for $2,800,000 (an extreme high outlier) is added to...

The graph of \(g(x)\) is obtained by shifting the graph of \(f(x)\) horizontally 4 units to the right and vertically 2 units up. Which equation defines \(g(x)\)...

The function \(f(x) = (x - 2)(x + 8)\) has x-intercepts at \(x = 2\) and \(x = -8\). What is the x-coordinate of the vertex of the parabola?...

A department store discounts a winter coat by 20%. During a weekend clearance sale, the store takes an additional 15% off the already discounted price. What is ...

In the equation $3x + 4 = kx + 11$, $k$ is a constant. If the equation has no solution, what is the value of $k$?...

In the equation $8x + 15 = kx + -4$, $k$ is a constant. If the equation has no solution, what is the value of $k$?...