A right triangle has a leg of length \(3\), a second leg of length \(3x − 5\), and a hypotenuse of length \(5\). What is the value of \(x\)?

\(\log_b64 = 3\)

What value of \(b\) (the base of the log) satisfies the equation?

If \(f(x) = 4x^2\) and \(g(x) = 5x\), what is \(g(f(2x))\)?

\(6y(3y − 2) + (3y − 2) =\)

A line in the coordinate plane has the equation \(5a + b = 7\), where \(a\) represents the independent variable, and \(b\) represents the dependent variable. Which of the following is the equation of a line that is perpendicular to \(5a + b = 7\)?

In the coordinate plane, point \(Z\) lies on the positive \(y\)-axis and point \(Q\) has a \(y\)-coordinate of \(0\) and is five units away from the origin, \(O\). The area of triangle \(OZQ\) is \(12\), what is the \(y\)-coordinate of point \(Z\)?

If \(−3\) is one solution of the equation \(x^2 + 3x + z = 12\), where \(z\) is a constant, what is the other solution?

An equation of the line that contains the origin and the point \((−4, 7)\) is

If \(\;x = p^2\;\) and \(\;y = \sqrt{p}\;\) what is the value of \(\;x^2y^2 + (xy)^2\;\)?

\(f(x) = \sqrt{x} − 40\), for all positive values of \(x\). If \(a = f(b)\) for some positive numbers \(b\) and \(a\), then what is \(b\) in terms of \(a\)?