This past week was a pretty decent one on KA, but—as usual—it probably could have gone better. I finished off Algebra 2, getting through three exercises and the unit test for Unit 12. It sounds pretty good, but the exercises were incredibly easy. 😒 (Two of them took me about 10 minutes to finish…) On my first attempt at the unit test, I got one of the ten questions wrong and had to go back and redo another exercise which took me an extra day-ish to do, so that was part of why I didn’t get more done this week. Nonetheless, I was happy when I finished the unit test and, with it, Algebra 2! But, then I proceeded to get my butt kicked from the only exercise I need to do in all of Precalculus… so that was a bit disappointing. The good news is I only need to do one exercise in the entire Precalculus course, plus the unit test for that unit, and then I can move onto the next course! So all in all, it was a good/bad week, but that’s better than the bad/bad weeks I’ve been having lately, so it could have been worse. 🤷🏻‍♂️

(Also, I’m currently writing this post with toilet paper plugged up my nose because I have crazy allergies right now. 🤧 I don’t have it in me to write much of an explanation for any of the questions below, so it’s going to be a short one!)

Algebra 2 – Unit 12 – Modeling

Exercise 1 – Graph Labels and Scales

Question 1

The questions from this exercise were super straightforward and obvious. I rushed through this exercise in less than 10 minutes and didn’t make any notes. So nothing really to report here.

Question 2

Exercise 2 – Modeling with Multiple Variables

Again, this was another exercise where I didn’t write out any notes and just solved all the questions in my head. I got the second question below wrong though (Question 4) which I’ll explain:

Question 3

Question 4

So, I got this question wrong because I initially didn’t add the top row of the table into the equation I submitted as my solution, i.e. I didn’t add (3.3 * 0.3). The question says, “write an equation that relates to x, y, z, and C” so I wasn’t sure if it wanted me to add in the top row since it didn’t have variables. Turned out it did…

Exercise 3 – Interpreting Expressions with Multiple Variables

Question 5

Clearly this question is super easy so not really worth talking about… (Especially during a time when I have toilet paper shoved up my nose. 🤬)

Question 6

This question was a bit tricky for me to think through, and I wasn’t all that confident when I submitted my answer. You can see from KA’s answer that since V is being multiplied by 9 but nothing else under the radical changes, the side length, a, would then scale by 3 given that everything inside the radical would be scaled by 9 but then be squared.

(I’m not sure if that made sense, but I can barely breath right now, let alone think, so I can’t think of another way to phrase it.)

Algebra 2 – Unit 12 – Modeling – Unit Test

I’m going to let my written notes do the talking for all four of the example questions below, all of which are from the Modelling unit test:

Question 7

Question 8

Question 9

Question 10

I finished the unit test on Friday and went up into KA’s dropdown menu to switch courses and discovered that they switched up the UI so that it now looks like this:

It’s hard to explain how it looked before, but as you can see it now says I’m 99% of the way through Precalculus, 99% of the way through AP/College Calculus BC, 99% of the way through AP/College Statistics, and 96% of the way through Multivariable Calculus. (There’s no M.P. for Differential Equations or Linear Algebra.) All of the courses you see are in the Math: High School & College section. There are a lot of courses I haven’t done in the other Math sections, but I’m not going to go back through those other categories since I assume the High School and College category has the highest level math in it. So all of that is to say: I’M SO CLOSE TO FINISHING THIS OFF! 😳

Precalculus – Unit 4 – Rational Functions

Below are two questions I worked through from the exercise I attempted in Precalculus. I got the first question correct but got the second question wrong. I’m going to have to redo this exercise again next week and I really don’t have it in me to give an explanation of these questions right now—again, 🤧—but regardless, here the the two questions I did:

Exercise 4 – Mixtures and Combined Rates Word Problems

Question 11

(I’m not going to talk about it, but the first page of my notes below was the rough work I did thinking it through and the second page was me redoing the notes to make it look neater.)

Question 12

And that was it for this week. I’m happy to be done with Algebra 2 and am a bit stunned at how close I am to finishing this all off. I’m assuming the exercises coming up will be much more difficult than what I’ve been doing over the past few weeks in Alg. 1, Trig, and Alg. 2, but even still, I think I might end up through it all within a few weeks. I can’t even wrap my head around how crazy that is right now, but to put it mildly, I’m pretty pumped. As always, fingers crossed I can make some decent progress this coming week. 🤞🏼