Digital SAT Practice Questions

Ecologist Dr. Elena Rostova argues that introducing the predatory *V. velox* wasp into the regional ecosystem to control the invasive spotted lanternfly populat...

A system of linear equations is shown below, where \( a \) and \( b \) are constants. \[ \frac{1}{2}x - \frac{3}{4}y = 5 \] \[ ax - by = 20 \] If the system has...

The height \( h(t) \), in feet, of a small rocket \( t \) seconds after it is launched from a platform is modeled by the function: \[ h(t) = -16t^2 + 64t + 80 \...

A scientist is studying a radioactive isotope in a laboratory. The mass of the isotope decreases by \( 20\% \) every \( 6 \) days. If the initial mass of the is...

Which of the following represents all solutions to the rational equation below? \[ \frac{x}{x - 4} - \frac{4}{x + 4} = \frac{32}{x^2 - 16} \]...

The equation of a circle in the \( xy \)-plane is given below: \[ x^2 + y^2 - 10x + 8y - 8 = 0 \] What is the radius of the circle?...

A recent ecological study analyzed the foraging behavior of the \( Bombus impatiens \) bumblebee. Researchers observed that the bees exhibited a strong preferen...

The historian noted that while the emperor's decrees were often celebrated in official propaganda for their sweeping, transformative nature, the actual implemen...

During the 19th century, the proliferation of the commercial telegraph fundamentally revolutionized global communication by drastically reducing the time it too...

Text 1 In the modern film industry, the widespread adoption of CGI (computer-generated imagery) has undeniably been a net positive. Directors are no longer cons...

Despite its immense popularity in the early 20th century, the architectural style known as Art Deco eventually fell out of favor, dismissed by harsh post-war cr...

The system of linear equations below has infinitely many solutions. \[ 5x - 7y = 15 \] \[ kx - \frac{21}{2}y = m \] If \( k \) and \( m \) are constants, what i...

The equation \( y = -3x^2 + bx + c \) represents a parabola in the \(xy\)-plane, where \( b \) and \( c \) are constants. If the vertex of the parabola is at th...

A circle in the \(xy\)-plane has its center at the origin. The total area of the circle is \( 144\pi \). A sector of the circle is bounded by radii \( OA \) and...

The population of a certain species of fish in a newly conserved lake is modeled by the function \( P(t) = 1200(0.82)^{\frac{t}{3}} \), where \( t \) is the num...

The polynomial \( p(x) = 2x^3 - 5x^2 + ax + b \), where \( a \) and \( b \) are constants, is perfectly divisible by \( (x - 2) \). When \( p(x) \) is divided b...

Ecologists observed that the Bombus impatiens bumblebee preferentially visits Monarda fistulosa (a flower which produces high-yield nectar but has deep corolla ...

In her later works, the artist largely abandoned the meticulous realism that characterized her early career. Instead, she adopted a deliberately ________ style,...

Nestled within the dense, humid foliage of the lower Amazon basin ________ the poison dart frog and the glass frog, both of which possess highly specialized, ev...

Historian Evelyn Boyd argues that the regional labor strikes of the 1920s were primarily driven by grassroots organizers rather than national union leaders. She...

While researching marine biology, a student took the following notes: - The mantis shrimp is a marine crustacean known for its highly specialized, spring-loaded...

The system of equations is given by: \[ y = ax^2 + 4x - 5 \] \[ y = -2x + b \] where \( a \) and \( b \) are constants, and \( a > 0 \). If the system of equati...

What is the sum of all valid solutions to the given equation? \[ \frac{x^2 - 3x}{x + 2} = \frac{10}{x + 2} + 2 \]...

A circle in the \( xy \)-plane has the equation \( x^2 + y^2 - 12x + ky = 13 \), where \( k \) is a positive constant. If the area of the circle is \( 85\pi \),...