We were back in the swing of things today with a quick review of the skills we’ve learned so far this semester, and then we tacked on our last two items for this unit.

# Dividing Monomials

We talked at length about how to multiply monomials, but we didn’t ever look at examples where we divided them. Thankfully, it works in exactly the same way:

We divide the numerical coefficients, and we divide the variable components. Notice that I used brackets around because I wanted to be clear that I was dividing by the 2 and the , not just the 2.

Sometimes you’ll have or end up with fractions; that’s fine:

Why ? Because .

Of course, the division sign is kind of gross since it makes us put brackets everywhere. In real life we usually use a division bar:

See? No need for brackets here!

# Algebra and Measurement

The whole point of algebra is that sometimes we don’t know a specific value, but we know some relationships among values. For example, if you have a rectangle with length and width you can find the perimeter . We don’t have to know and to use this relationship.

For homework I gave you a rectangular prism with dimensions in terms of an unknown value :

We then worked out that the volume of the prism could be found using

Your homework was to expand and simplify this equation for volume so that the right-hand side is a nice polynomial.