Digital SAT Practice Questions

The system of equations is given below, where \( c \) is a constant. \[ 3x - 4y = 12 \] \[ 6x - cy = 15 \] If the system of equations has no solution, what is t...

The function \( f \) is defined by \( f(x) = x^2 - 8x + 21 \). What is the minimum value of \( f(x) \)?...

Which of the following is equivalent to the expression \( x^{\frac{5}{3}} \) for \( x > 0 \)?...

>32° >10 >B >C >A >? >E >F >D Note: Figure not drawn to scale. In right triangle \( ABC \), angle \( C \) is a right angle. Triangle \( DEF \) is similar to tri...

When Dr. Aris Thorne first proposed his theory of subterranean water networks on Mars, the astronomical community was highly skeptical. For years, his research ...

The Resurrection Fern (Pleopeltis polypodioides) is an epiphyte that primarily grows on the branches of large trees in the American South. During severe drought...

Architectural historian Maryam Ozkara argues that the shift toward Modernism in the 1920s was not merely an aesthetic choice, but a practical response to the so...

In 1993, researchers made a surprising discovery in the dense forests of Vietnam: the saola, a rare bovine species known as the "Asian unicorn." Because the cre...

Constructing a colony on Mars will require astronauts to utilize local resources, a process known as in-situ resource utilization (ISRU). Transporting heavy bui...

A local theater sells tickets for an upcoming play. Adult tickets cost \( \$15 \) and child tickets cost \( \$9 \). The theater sold a total of \( 150 \) ticket...

If \( \frac{x^{a^2}}{x^{b^2}} = x^{16} \), where \( x > 1 \), and \( a + b = 2 \), what is the value of \( a - b \)?...

The equation \( y = -2x^2 + 12x - 10 \) is graphed in the \( xy \)-plane. What is the \( y \)-coordinate of the vertex of the parabola?...

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 \...

While studying the intricate root systems of old-growth forests, ecologist Dr. Suzanne Simard discovered that trees do not merely compete for resources; rather,...

Though she was largely celebrated for her groundbreaking work in theoretical physics, Dr. Vance’s peers were careful to ______ their praise, noting that her mat...

During the mid-twentieth century, the widespread adoption of synthetic pesticides drastically increased agricultural crop yields by decimating insect population...

The integration of artificial intelligence into weather forecasting models has vastly improved the accuracy of short-term predictions. Meteorologists are now ab...

Biologist Jane Goodall famously observed chimpanzees modifying twigs to extract termites from their mounds, proving that humans were not the only species capabl...

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?...