Digital SAT Practice Questions

While synthesizing the newly discovered superheavy element 120, Dr. Arisawa and her team encountered an unexpected anomaly: the atomic decay rate was nearly hal...

The polynomial function \( p \) is defined by \( p(x) = x^4 - 2x^3 + cx^2 + dx - 15 \), where \( c \) and \( d \) are constants. When \( p(x) \) is divided by \...

The quadratic equation \( 2x^2 - 5x - 4 = 0 \) has distinct roots \( u \) and \( v \). What is the value of \( \frac{u}{v} + \frac{v}{u} \)?...

A circle in the \( xy \)-plane has the equation \( x^2 + y^2 - 6x + 8y + c = 0 \), where \( c \) is a constant. If the line \( y = x - 1 \) is tangent to the ci...

A list of \( 7 \) distinct positive integers has a median of \( 15 \) and a range of \( 20 \). What is the maximum possible arithmetic mean of this list of numb...

For a certain quadratic function \( f \), it is known that \( f(2x) - 2f(x) = 2x^2 - 5 \) for all real values of \( x \). If the minimum value of \( f(x) \) in ...

The historian’s new biography of the revolutionary leader is surprisingly _____; rather than offering a straightforward chronological narrative, it dances aroun...

Some economic historians argue that early medieval guilds functioned strictly as economic cartels, designed primarily to enforce price floors and eliminate comp...

To combat the invasive lionfish population, the local government instituted a bounty program, paying fishers for every lionfish caught. _____, the initiative in...

Text 1 Quantum entanglement implies that non-locality is a fundamental, inescapable feature of the universe. Because entangled particles instantaneously influen...

Because the structural integrity of the hydroelectric dam had been severely compromised by the recent seismic activity, the chief engineer vehemently demanded t...

The quadratic equation \( 2x^2 - 2kx + (k^2 - 5k + 6) = 0 \), where \( k \) is a constant, has exactly one real solution for \( x \). What is the sum of all pos...

The circle in the \( xy \)-plane has the equation \( x^2 + y^2 - 10x + 6y + c = 0 \), where \( c \) is a constant. If the area of the circle is \( 16\pi \), wha...

If \( x > 1 \) and \( \frac{\sqrt[3]{x^a \cdot x^b}}{x^{a/2}} = x^4 \), what is the value of \( 2b - a \)?...

The function \( f(x) \) is defined as \( f(x) = |x - 3| - 2 \). A new function \( g(x) \) is defined as \( g(x) = -f(2x) + 4 \). What is the area of the polygon...

The polynomial \( P(x) = x^4 + ax^3 + bx^2 + cx + d \) has roots at \( x = 1 \), \( x = -2 \), and \( x = 3 \). When \( P(x) \) is divided by \( x + 1 \), the r...

In a recent paleontological study, Dr. Arisawa argues that Neanderthals possessed the anatomical capacity for complex spoken language. Her primary evidence is a...

Text 1 The "gig economy," characterized by short-term contracts and freelance work, represents a fundamentally democratizing force in the modern labor market. B...

The prevailing historical narrative surrounding the collapse of the Classic Maya civilization attributes the societal breakdown almost exclusively to severe, pr...

Despite the overwhelming scientific consensus regarding the safety and efficacy of the new public health initiative, the senator continued to employ ______ rhet...

Recent advancements in quantum computing have the potential to revolutionize fields ranging from cryptography to pharmaceutical _______ the ability to simulate ...

The equation \( 2x^2 - kx + 3 = 0 \) has distinct roots \( r_1 \) and \( r_2 \). If \( r_1^2 + r_2^2 = 10 \), what is the positive value of the constant \( k \)...

In the xy-plane, the circle given by the equation \( x^2 + y^2 - 12x + 8y + c = 0 \) is tangent to the line \( y = x \). What is the value of the constant \( c ...

The function \( f \) is defined by \( f(x) = \frac{ax + b}{cx + d} \), where \( a \), \( b \), \( c \), and \( d \) are non-zero constants. The graph of \( y = ...