Digital SAT Practice Questions

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?...

A rectangular garden has a perimeter of 40 meters. What is the maximum possible area, in square meters, of the garden?...

If $f(x) = x^2 - 6x + c$ and the minimum value of $f(x)$ is $-4$, what is the value of $c$?...

The revenue of a product is given by $R(p) = -10p^2 + 300p$. What price $p$ maximizes revenue?...

The equation $h(t) = -16t^2 + 48t$ models a tennis ball's height. After how many seconds does it return to the ground?...

If $(x - a)(x - b) = x^2 - 9x + 20$ for all $x$, what is the value of $a + b$?...

If $x^2 + kx + 36$ is a perfect square trinomial and $k < 0$, what is $k$?...

How many intersection points do the graphs of $y = x^2 - 4x + 3$ and $y = 2x - 6$ have?...

In the $xy$-plane, what is the intersection of $y = x^2$ and $y = 4$?...

For what value of $c$ does the line $y = c$ intersect $y = x^2 - 6x + 5$ at exactly one point?...

If $x^2 - y^2 = 24$ and $x - y = 3$, what is the value of $x + y$?...

Which of the following is equivalent to $3x^2 + 18x + 24$?...

What are the coordinates of the vertex of $f(x) = 2x^2 - 8x + 11$?...

If $(x + k)^2 = x^2 + 14x + c$, what is the value of $c$?...

What is the sum of the solutions to $(2x - 5)(x + 3) = 0$?...

If $f(x) = (x - 2)(x - 8)$, what value of $x$ minimizes $f(x)$?...

Find all real solutions to $x^4 - 5x^2 + 4 = 0$....

If $x > 0$ and $x^2 + 10x = 24$, what is the value of $x$?...