The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.

The graph above shows a cost comparison for two different taxi services. The \(x\)-axis of the graph represents the number of kilometers driven, and the \(y\)-axis represents the taxi fare in dollars. The red line pictured above represents Taylor’s taxi service and the blue line represents Chandan’s carpool service. How much more does Chandan’s carpool service cost than Taylor’s taxi service per kilometer?

\(f(x) = 5x(x + 3)\). Which of the following is \(f(x − 3)\)?

Which of the following is equivalent to \((8^x)^{3x} = 24\) where \(x ≥ 0\)?

Square \(ABCD\) has an area of \(16 \text{m}^2\). In sector \(AE\), \(AB ≅ EB\). What is the total perimeter of the figure above?

Which of the following is the correct factorization of \(5x^2 − 15x − 50\)?

Which of the following is equivalent to \(f(x) = \dfrac{x^2 + 2x − 15}{x^2 − x − 6}\) as long as \(x ≠ 3\) and \(x ≠ − 2\)?

What are the solutions to the following equation?

\((2x + \sqrt{2})(5x + \sqrt{19}) = 0\)

Right triangle \(ABC\) is shown above. Benedict uses the equation \(\tan^{-1}⁡(\frac{8}{15})\) to find the angle measure of \(θ\). What is the value of \(\sin⁡ θ + \cos ⁡θ\)?

Suppose \(AC ≅ EC\). Which of the following must be true in order to prove that triangles \(ABC\) and \(EDC\) are congruent?