Digital SAT Practice Questions

In the \( xy \)-plane, the terminal side of an angle of measure \( \alpha \) in standard position intersects the unit circle at point \( (x, y) \). If \( y = -\...

The system of equations below has no solutions. \[ a x + 3 y = 12 \] \[ -5 x + b y = 8 \] If \( a \) and \( b \) are integers, which of the following is the max...

Recent research into the epigenetic memory of *C. elegans* (a species of nematode) has revealed that environmental stressors, such as starvation, can trigger th...

Text 1 Many historians attribute the spectacular Bronze Age Collapse of the 12th century BCE to the inherent systemic fragility of the era's Mediterranean econo...

Most contemporary models of ancient urbanization assume that the earliest cities in Mesopotamia developed organically around centralized administrative hubs, su...

The philosophical doctrine of panpsychism—the bold and increasingly debated idea that consciousness is a fundamental and ubiquitous feature of the physical ____...

In her 1925 novel *Mrs. Dalloway*, Virginia Woolf frequently employs a stream-of-consciousness narrative technique to blur the boundaries between her characters...

The equation \( y = cx^2 - 4x + 5 \) represents a parabola in the \( xy \)-plane, where \( c \) is a constant. The line \( y = kx - 3 \) intersects the parabola...

Let \( P(x) = ax^4 + bx^3 + cx^2 + dx + e \), where \( a, b, c, d, \) and \( e \) are constants. When \( P(x) \) is divided by \( (x - 2) \), the remainder is 1...

A circle has radius \( r \) and center \( O \). Point \( P \) lies outside the circle such that the distance from \( P \) to \( O \) is \( d \). Two distinct li...

In a large population of registered voters, 60% are homeowners and 50% are over the age of 50. If the probability of randomly selecting a voter who is both a ho...

A scientist is observing two bacterial cultures. Culture X has an initial population of \( P_0 \) and doubles every \( a \) hours. Culture Y has an initial popu...

Isotopic analysis of benthic foraminifera tests (shells) reveals a sudden negative excursion in carbon-13 during the Paleocene-Eocene Thermal Maximum (PETM), su...

Text 1 Historian A argues that the 1890 Sherman Antitrust Act was fundamentally a symbolic gesture, a legislative placebo meant to placate public anger against ...

Although the renowned philosopher was infamous for his ________ temperament—frequently engaging in heated, vitriolic disputes with colleagues over minor theoret...

Hidden beneath the massive, unyielding ice sheets of Antarctica ________ an intricate network of subglacial lakes and a surprisingly diverse microbial ecosystem...

While studying the foraging behavior of *Bombus impatiens* (common eastern bumblebees), researchers observed that the bees exhibited a remarkably strong prefere...

The system of equations is given by: \[ y = 2x^2 - 4x + c \] \[ y = kx - 5 \] where \( c \) and \( k \) are constants. The system has exactly one real solution ...

The function \( f \) is defined by \( f(x) = \frac{ax^2 + bx - 120}{2x^2 - 14x + 20} \), where \( a \) and \( b \) are constants. The graph of \( y = f(x) \) in...

In the xy-plane, a circle is defined by the equation \( x^2 + y^2 - 10x + 6y = c \), where \( c \) is a constant. A line with the equation \( y = \frac{4}{3}x -...

The absolute value inequality \( |kx - 12| \le c \) has a solution set of \( -2 \le x \le 8 \), where \( k \) and \( c \) are positive constants. What is the va...

A solid glass right circular cone has a height of \( H \) centimeters. A horizontal cut parallel to the base separates the solid cone into a smaller top cone an...

In paleoclimatology, the ratio of Carbon-13 to Carbon-12 isotopes found in the calcium carbonate shells of marine foraminifera serves as a vital proxy for histo...

Text 1 Mid-century critics of Abstract Expressionism often dismissed the movement—and its vanguard, Jackson Pollock—as a chaotic rebellion devoid of foundationa...