Simplify each expression. Assume all variables are nonzero.

$$\frac{-24 x^4 y^{-6}}{14 x^{-3} y^3}$$

For each equation find the value of $y$ when $x=-3,-2,0,2$, and $3$.

$$y=-2 x^2+5 x-7$$

Simplify by rationalizing each denominator.

$$\frac{3 \sqrt{27}}{2 \sqrt{6}}$$

While Neil Armstrong and Burz Aldrin walked on the Moon, the Apollo $11$ command module completed $1$ orbit every $119$ minutes.

Estimate the number of orbits the Apollo $11$ module would make in $1$ week if it continued at the same rate.

This problem will prepare you for the Multi-Step Test Prep on the mentioned page.

What is the range of this relation?

This problem will prepare you for the Multi-Step Test Prep on the mentioned page.

What is the domain of this relation?

While Neil Armstrong and Burz Aldrin walked on the Moon, the Apollo $11$ command module completed $1$ orbit every $119$ minutes.

The Apollo $11$ module made $30$ orbits. For how many hours did it orbit the Moon?

While Neil Armstrong and Burz Aldrin walked on the Moon, the Apollo $11$ command module completed $1$ orbit every $119$ minutes.

Modify your expression from part a so that it represents the time in hours needed to complete $n$ orbits.

This problem will prepare you for the Multi-Step Test Prep on the mentioned page.

Does this relation represent a function? Why or why not?

While Neil Armstrong and Burz Aldrin walked on the Moon, the Apollo $11$ command module completed $1$ orbit every $119$ minutes.

Write an expression for the time in minutes needed to complete $n$ orbits.

This problem will prepare you for the Multi-Step Test Prep on the mentioned page.

The relation $(0,20),(-20,0),(0,-20)$, and $(20,0)$ can be plotted to produce the vertices of a shape very common in Native American art. What shape is this?

Simplify each expression. Assume all variables are nonzero.

$$\left(-2 x^5 y^{-3}\right)^3$$

Simplify each expression. Assume all variables are nonzero.

$$\frac{-100 s^3 t^{-5}}{25 s^{-2} t^6}$$

Simplify each expression.

$$3(x-7)+4 x^2$$