Solving Problems: Study Hall Algebra #1: ASU + Crash Course

What does it actually mean to "solve an equation" or to “solve a problem?” In this episode of Study Hall, James walks us through solving math problems step by step. We're not computers or calculators. So how do we need to look at complex math problems as people and still make sense of it all?
Presented by Arizona State University and Crash Course, Study Hall is a tailored series of KZbin Learning Playlists aimed at helping you with resources to navigate college and your education path. Count on Study Hall to guide you to and through college.
Thanks to viewers like you, Study Hall has grown and moved from the ASU KZbin channel, where it launched in 2020, to its own channel. View your favorite videos and new ones at links.asu.edu/gostudyhallh1. We can’t wait to see you there!
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Recognized by U.S. News & World Report as the country’s most innovative school, Arizona State University is where students and faculty work with NASA to develop, advance and lead innovations in space exploration. ASU graduates more than 20,000 thinkers, innovators and master learners every year. See how ASU is building the next generation of leaders by providing access to education through a variety of digital learning assets: links.asu.edu/clfqy
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[@Kalebshadeslayer]

This is happening just as I need it.

[@flowersstorms8863]

Thank you! This is exactly the approach I need to get my head around algebra.

[@vaibhav__yadav]

Woah, crash course and Arizona state, never thought this would happen 😧

[@ParadymShiftVegan]

Right? I was blown away in the best sort of way

[@ParadymShiftVegan]

This content is absolutely beyond expectations -truly phenomenal. I've always loved Crash Course and I absolutely loved my time studying at ASU (: Having both of them combine for the best alegbra lessons on KZbin is a dream come true! ^-^ thanks so much for this invaluable gift!

[@arizonastateuniversity]

Go Devils! Thanks for the positive feedback. Are you subscribed to our channel yet? We have several other playlists available on topics like Data Literacy and Chemistry (this playlist is called Study Hall: Algebra). Head on down to kzbin.info to keep learning. 😈

[@ParadymShiftVegan]

@@arizonastateuniversity Sure thing 🙏 thanks for the learning opportunity 😁 and yupp I was already subbed. oh excellent! Thanks for the tip. Those are topics I indeed would love to delve into, especially data literacy. Thank you very much for sharing 👊💯 I'll definitely be hitting those up. Cheers! Take care (:

[@jaydenguan4708]

This is AWESOME! Keep up the good work. I use this to show to my students everyday!

[@CrowmanProductions]

I'm watching this to give me a head start in my algebra class in school, and math is so much less scary! This is awesome!

[@Chelsea-ck9vz]

Thank you, this was extremely helpful and calming :)

[@tristanroberts8016]

Well, hopefully I will find this helpful with my non-verbal learning disorder. I find that it really helps me learn whatever I'm learning if I can study it to the enth degree. That is, look at it inside and out and look at every single little step and sub-step and why things work the way they do.

[@arizonastateuniversity]

Hopefully it helps! There are more videos like this in our learning playlist Study Hall: Algebra. You can can check it out on our channel and subscribe for video updates at kzbin.info

[@punboleh7081]

I finished high school math with a straight A and I had no idea you could have two independent solutions for x. (facepalm) We only ever got two solutions when dealing with squares, as x could then be either positive or negative. And of course I also divided by x without considering it might be 0. I thought I'll just refresh my memory on what I've forgotten since school, instead I learn I didn't even know the basics. Humbling. Now I'm looking forward to watching the rest of the series. You've set a very high bar with this first video.

[@monslay5624]

I'm 44 years old with a college degree. I never figured out a reason for algebra; no rhyme or reason for it. I've used only two formulas of it, since I took it. I hope that I can learn something from this man during this video. LATER, after watching: Yes, I learned something. Yay me!!!

[@gregghxst2957]

thank you king, my autistic brain is really struggling with algebra but i have to do it in my uni math course, this is helping a lot.

[@alext8828]

I hate to say this, because I was sure this would be a great video. I've already been thru algebra and calculus and I'm confused by this presentation. I can't see how this will make anything easier. Speaking to the teacher now: Do you remember the delta process in calc 1? Do you remember that once you learned it, you never learned it again? Do you remember the chain rule? Please tell your students to balance equations by isolating terms using simple rules we all know and love. Change the plus/minus and do the numerator/denominator thing when moving terms across the = sign. I prepped a failing student the day before her test and she got a decent grade for the course. It's really quite ridiculously easy to do. They always pick it up right away. I'm sure this course is amazing. I'm confident it works.

[@basix250]

To be honest I couldn't explain why I can't divide by x until this video. Very intuitive!

[@FrozenSpector]

Same! I’ve never been taught that before!

[@vehement-critic_q8957]

Because it's undefined.

[@d.c.2775]

Fantastic!! Thanks 🙏🏻

[@ahmednadirshah]

Lets be serios youre seeing this by seeing the crash course channel and didn,t search for it.

[@gobyg-major2057]

Serious*, you’re*, didn’t*, let’s*

[@rob651]

Yeah, definitely..came here through crash course

[@lildwayne87]

thats not true you dont know what we think i searched for this non like you.

[@ParadymShiftVegan]

I searched Crash Course to check if they had something before going to Khan academy and freecodecamp.com and I was shocked to find my own college that I attended in collaboration! 🤩 ♥️♥️♥️

[@gregghxst2957]

i specifically searched for crash course algebra lmao

[@PasanJayaweeraYashoda]

i am an engineering undergrad and i still think that last part is amazing. nice to see things in a differant way

[@alonzojohnson7955]

Go to math antics too

[@rob651]

0:28 did he just say 'Amharic'? I speak that language and I don't think many people know it outside of Ethiopia.

[@elijahafton3002]

Yep he did :)

[@tutuseleshi7640]

yeah me too i double checked to make sure lol...i feel proud for some reason ፒስ

[@lemoncola1164]

holy crap where were you when i was asking questions in math class, i feel like he wouldn't send me to detention for asking how a problem can be applied to the real world.

[@lumajuli]

What a simple way of explaining, thx very much!

[@arizonastateuniversity]

Happy to hear that you found this content valuable! For more videos in this series, simply visit kzbin.info/aero/PLNrrxHpJhC8l8q8cq9BXLS3guOcyLqxj6 or you can also subscribe to our channel to find a range of new Study Hall content on a regular basis: kzbin.info.

[@wijayaant4137]

This is awesome

[@samueltilek5094]

What a great explanation of algebra

[@LTS_Capital]

Good Job!!

[@slightlysaltyslug8972]

So you going to do geometry and algebra 2?

[@Manuel-jr6op]

I love the Papers, Please reference!!

[@MrMigueldelaO]

I didn't get algebra after spending a year at it and I still don't get it after these 10 minutes.

[@hananabanana2177]

Lol

[@DeborahFishburn]

At 7:24, your popup says 0/0 0! You're right, but zero factorial = 1, which probably added a layer of complexity you didn't intend. It may have been more sensible to just mention divide by zero errors here? Or eliminate the exclamation point?

[@VaideeshVarthanam]

Awesome 👍👍👍👍👍👍

[@memestealer426]

this is magic

[@FrozenSpector]

When balancing an equation, you can divide anything into a zero, but ‘not 0 itself’ and therefore not 0/X to balance. Hmm, that makes sense and I’ve never had that explained before. Algebra is too confusing for me when you do not know the Axioms or what you can do to either side of an equation. Like, is an exponent subject to a “+1” to both sides rule or just base variables? Similar to the 0 example above, I did not know you could do this.

[@moularaoul643]

Thank you so much!!!

[@arizonastateuniversity]

You're welcome! If you haven't already, you can check out the next episodes for Study Hall Algebra here: kzbin.info/aero/PLNrrxHpJhC8l8q8cq9BXLS3guOcyLqxj6 or subscribe to our channel to find a range of new Study Hall content on a regular basis: kzbin.info.

[@chittibabu6533]

Nice explain

[@rogerdotlee]

I've always detested algebra. This tells me I need to man up and do the needful. It's a strange attitude considering I LOVE Calculus and want to really be able to grasp things like Linear Algebra. This should be interesting.

[@PasanJayaweeraYashoda]

yeah man calculus is okay its linear algebra that im having issues with

[@imaginextramusic5530]

The simplification if math is different here than from math is fun! It will take time again to do this for me since I get x by the negative portion of the equation. Not bad though.

[@imaginextramusic5530]

Oh yeah hawaiahhh! Did want a over the boarder mistake! I was actually finding the given of x!

[@Grabbanhislolley]

I always found algebra confusing. Thank you!!

[@arizonastateuniversity]

Glad you found this video helpful! If you want to see more videos in this series, go to kzbin.info/aero/PLNrrxHpJhC8l8q8cq9BXLS3guOcyLqxj6 or you can also subscribe to our channel to find a range of new Study Hall content on a regular basis: kzbin.info.

[@saltchan2]

OMG Why does algebra make sense now....how come I was never taught to just balance both sides...all those year learning steps when the concept is so simple. Never thought Id see the day I could do equations in my head like this...I feel so dumb

[@oliahad1641]

following from Bangladesh

[@macinoni]

I really want to go ASU it’s my favorite University AHHHH I seriously want to goooooooooooo

[@ParadymShiftVegan]

You should do it. It's so lit. I went to Polytech and Tempe & I loved them both

[@alec5400]

When he broke putting the "math googles" on it was helpful for me and understood the scale explanation and how to balance the equation. However, I am confused about the 2nd equation and why he divided it by 2. He stated the balancing technique still works but he divided the equation by two. Why did he do that? Is he just showing a different approach? It confused me to see it done two different ways. Could the first equation be divided by 2 as well?

[@lumajuli]

What a simple way of explaining, thx!

[@alonzojohnson7955]

👍

[@tracyrooks8672]

I totally agree that math is an universal language, just like music and art. It’s also the language that God communicates with me. Creative Math with Ching-Hui🤗😊🤪🥰

[@monasayed715]

Where are equation come from on the first place?

[@joshbobst1629]

I'm completely lost as to why he's representing the 2 in 2x as a box with an x on it. I'm so lost I didn't even understand that's what that extra x was (because it doesn't appear anywhere in the equation) until I counted the frogs he piled on there and realized they represent the other numbers. Process of elimination is suggesting it's the 2 in 2x that he's representing as a box with x on it, but why? It's a 2, isn't it?

[@user-ur5yg3cx8t]

8:04

[@AUnicorn666]

4:17 there is only one x on each side? where are they getting this extra x from?!

[@VetEdithTen]

9 > 5 + 3

[@Itis-written]

2X+3=X+5.... but hold on, it can't be that X=2 only, X can be any number!

[@gearedeagle6484]

Wow

[@arizonastateuniversity]

More videos like this are on our KZbin channel! If you haven't already, feel free to subscribe to our channel at kzbin.info.

[@SuperSquark]

I dont understand how oranges times lemons = fruit salad (A step away from understanding) and Meters times seconds = nobel prize (A step away from.....?)

[@KJSCalderon]

He sounds like Brian Houston.

[@kocengineering769]

Hello sir Thanks sir I can't imagine maths this way my teachers had made it worst subject to me

[@arizonastateuniversity]

Glad you're finding the content valuable! Check out the next episode for Study Hall Algebra at kzbin.info/aero/PLNrrxHpJhC8l8q8cq9BXLS3guOcyLqxj6 and if you haven't already, be sure to subscribe to our channel for new videos on a regular basis: kzbin.info.

[@reizer05]

2x + 3 = x + 5 i dont know how to solve this but i believe x is 2

[@steverocksyo]

Man, weightless box with frogs inside.

[@jaydenguan4708]

James: I'm speaking in English Everyone: No I'm pretty sure your speaking in mathematics

[@muha2762]

I wonder what accent you use ! Is that American or British or a mixture ?

[@jonathanstowe5852]

aussie

[@sofitocyn100]

This isn't Aussie at all

[@muha2762]

@@sofitocyn100 so what is it ? British?

[@thegoodlydragon7452]

Australian.

[@halicusnguyen8864]

@@sofitocyn100 im pretty sure they mentioned they were from Australia or somethin

[@sushilverma2634]

1 st time I solve one equation 4:56

[@hussainbergthesalafi1055]

my teacher speak Arabic But we study mathematics in french

[@cstanley5044]

No joke I thought x was 1

[@bluesap7318]

Nice gonna borrow this video to teach them orphans.

[@saralowry7318]

Standard industry frogs 🙈😂

[@fairyfellermasterstroke]

Oh, I already knew that...

[@steamer1]

English accent... Very Arizona

[@graceannapatel7578]

Um he is an Aussie.

[@whysic6387]

bruh

[@clintnix9363]

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[@nielsen462]

Anybody here for fun?

[@arizonastateuniversity]

Sounds like you might be a Universal Learner®! We have resources for learners of every age. Check it out: asuforyou.asu.edu/

[@7asaltosalto772]

Algebra come from الخوارزمي

[@barrydeeks1760]

I am a raving sex case and I am on the sex offenders list and I am from the UK ellsemere port

[@amberd7439]

You're an Aussie, it's "zed", not "zee"!

[@Norbero]

Math easy af who watches this?

[@halicusnguyen8864]

because you're not the only person in the world

[@Norbero]

@@halicusnguyen8864 lol I bet you looked up how to do math

[@Norbero]

@@halicusnguyen8864 I mean I can help u out if u want

[@halicusnguyen8864]

@@Norbero i actually saw this on the crashcourse channel and decided to look into it, but good assumption tho

[@Norbero]

@@halicusnguyen8864 thx and Im in pre cal so ik this stuff or your gunna stick too "coming across this"