Systems of Polynomial Equations Practice Test

A student graphs the system shown on the coordinate plane. The curves are $y=x^2-4$ and $y=2x$. What is the sum of the $x$-coordinates of the intersection points?$$\begin{cases} y=x^2-4 \\ y=2x \end{cases}$$

A designer models a ramp by the line $y=\tfrac{1}{2}x+1$ and an arch above it by the parabola $y=-\tfrac{1}{2}x^2+2x+1$. The ramp meets the arch at the intersection points. What is the product of the $x$-coordinates of the intersection points?