Weekly Math Problem #66

Quadratic Inequality. I checked my blog and saw that I have not done a quadratic inequality yet...so, here we are. 🙂 In WMP #31, I solved an absolute value inequality. Make sure to check it out. 😉

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

        ✔️     Methods to solve a quadratic equation
        ✔️     Evaluating an expression
        ✔️     How to test an expression in an inequality

     

WMP! #66 wants us to...

Happy solving!

Check back on Saturday, December 4th for the solution, which will be posted below ⬇️.

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Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

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I got started solving this week's problem by converting the inequality to an equation. I then solved the resulting quadratic equation by using the AC method for factoring. This process requires factoring by grouping.

Now that I have values for x, I continue to solve the original inequality by considering the three regions of the number line that the values create--the region to the left of 2/9, the region between 2/9 and 3, and the region to the right of 3. I then choose a value in each region to test in the original inequality. If the result of the tested value is greater than zero, that region is part of my solution. If the result of the tested value is less than zero, that region is not part of my solution.

According to the tested results, my solution is as follows:

...And that's a wrap! 

▪️ Were you able to solve this inequality??

▪️ Let me know what you thought about this week's problem in the comments section. 

Thanks for solving with me this week!
WMP! #67 is up next. 👩🏿‍🏫

Cheers!

The Younge Lady

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! 📓✏️

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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??

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

Thanks for solving with me this week!

Up next...WMP! #32

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Cheers!

The Younge Lady