Math n' Stuff w/ The Younge Lady: December 2020

Sunday, December 13, 2020

Weekly Math Problem! #32

Equation with Complex Fractions. Yikes! 👀 Yeah...so...I purposely chose the crazy looking equation below, because I thought it would be fun to solve.

This week's problem is the last problem of 2020. 😩 Not to fret, I will definitely be back in 2021 with more problems to help your brain sharp. (Gonna take me a little holiday break. 😌)

To solve this week's problem in completion, you need to recall the following math skills:

✔️ How solve equations with fractions
✔️ How to deal with complex fractions

WMP! #32 wants us to...

Happy solving!

Check back on Friday, December 18th for the solution, which will be posted below ⬇️.

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Buy Me a ☕️ Coffee: TheYoungeLady

✏️📓 Solution Time! 📓✏️

⬇️

So, here we are to solve the last problem of 2020--WMP! #32. Just the other day, I started my blog. The other day was 11 months ago...wow. Time ⏳ is going faster than Usain Bolt.

When it comes to fractions, sometimes we have options. With a complex fraction, I like to make it less complex. How did I do that? By getting rid of the denominators. For the major fractions in the problem, their LCD (lest common denominator) is 12. So, I multiplied both sides of the equation by the LCD. Here is the result:

After the work above, I definitely ended up with a less complex equation. However, there is still one fraction left. No worries. I will just repeat the process of multiplying both sides of the equation by the LCD. This time, the LCD is 2.

L👀kie here.... after all of that work, the answer is zero. When was the last time you did that much work for nothing?! 😆 I did crack myself up...just a little bit.

▪️ How do you feel about fractions??

▪️ Comment below with your responses and let me know what you thought about this week's problem.

Thanks for solving with me this week!

As a matter of fact...

THANK YOU FOR SOLVING WITH ME THIS YEAR❗️

WMP! #33 is up next and will make it's appearance on Sunday, January 10th, 2021.

Cheers!

The Younge Lady

Sunday, December 6, 2020

Weekly Math Problem! #31

Absolute Value Inequality. I checked my list of problems from this year, looking to see what topic I hadn't posted yet. There are many, but I have settled on posting an absolute value inequality this week. Just keeping things mixed-up. I find that this topic isn't too bad.

When working with students who are learning this topic, I notice that the most common mistake they make is only solving one inequality to get their final answer. Students get frustrated when points are lost and ask why, if the answer is right. I gently remind them that the answer is right but it's also incomplete. "You're missing the second answer." If a student remembers the method for solving absolute value inequalities, then they can most often make a mistake in the solving...especially if not comfortable with fractions.

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️   How to add/subtract fractions
  ✔️   The definition of absolute value and how to apply it
        ✔️   How to solve linear inequalities

WMP! #31 wants us to...

Happy solving!

Check back on Friday, December 11th for the solution, which will be posted below ⬇️.

Shameless 🔌 Plug: Follow me on Instagram @TheYoungeLady
Buy Me a ☕️ Coffee: TheYoungeLady

✏️📓 Solution Time! 📓✏️

⬇️

Here is how I went about solving WMP! #31:

The way I solved it, probably, isn't common, but it sure works.

▪️ How did you solve the inequality above??