Digital SAT Practice Questions

Find the value of the discriminant for $3x^2 - 5x - 2 = 0$....

For what value of $c$ does $x^2 - 10x + c = 0$ have exactly one real solution?...

If $2x^2 + 8x + c = 0$ has two distinct real solutions, which condition must $c$ satisfy?...

What are the solutions to the quadratic equation $x^2 - 7x + 12 = 0$?...

Solve the equation $2x^2 + 5x - 3 = 0$....

What is the sum of the solutions of $3x^2 + 12x - 7 = 0$?...

What is the product of the solutions of $5x^2 - 8x - 15 = 0$?...

If $x = -4$ is a solution to $x^2 + kx - 20 = 0$, what is the value of $k$?...

Which of the following quadratic equations has solutions $x = -2$ and $x = 5$?...

Solve the equation $x^2 = 6x - 9$....

The solutions to $x^2 - 4x + 1 = 0$ are given by which expression?...

Using the quadratic formula on $2x^2 + 2x - 1 = 0$, what are the solutions?...

If $(x - 3)^2 = 25$, what is the sum of the possible values of $x$?...

What are the roots of $4x^2 - 9 = 0$?...

If $x^2 + bx + 16 = 0$ has only one real solution and $b > 0$, what is $b$?...

Find the positive solution to $3x^2 - 27 = 0$....

If $x(x - 6) = -9$, what is the value of $x$?...

If $(2x + 1)^2 = 49$ and $x > 0$, what is $x$?...

What is the value of $a$ if $y = ax^2$ passes through the point $(3, 36)$?...

The graph of $y = x^2 - kx + 12$ has an axis of symmetry at $x = 4$. What is $k$?...

A projectile is launched with height $h(t) = -5t^2 + 20t + 25$. When does it hit the ground ($h(t) = 0$)?...

The profit $P(x) = -2x^2 + 40x - 50$ of a company is maximized at what production level $x$?...

What is the maximum profit in dollars for $P(x) = -2x^2 + 40x - 50$?...

An archway follows the equation $y = -0.5x(x - 8)$, where $x$ and $y$ are in meters. What is the maximum height of the arch?...