hi welcome to Learning Algebra from

Scratch a course from UltimateAlgebra.com Addition and Subtractions in Algebra we can only add things if the letters and

their exponents following them are exactly the same Example: we can add 2x + 3x because they both have X following the numbers All you do is add

the numbers and bring the common letter after the number So we added the 2 + 3 to get 5. Then we brought the X after it. The final answer is therefore

5x example 2 if you have 2x plus 3y you cannot add

them because they have different letters after them one is y and the other is X

example 3 if you have 2x squared and 3x cubed

you cannot add them because of the different exponents one of the X is

squared and the other is cubed example 4 you cannot add 3 AB plus 2 AC although

they both have A 1 is AB and the other is AC they must be exactly the same

before you can add them let’s try these five a B minus 2 a B here since they

both have a B after the number we can subtract this gives us 3 a B as you can

see if your addition and subtraction is good this should be easy addition and

subtraction of multiple terms like the way we add in multiple numbers in basic

math we might have to add multiple terms in algebra let’s try this – a B plus 5b

c plus 3 a B minus 2bc here we take the first term 2 a B and find out if there

are other terms with the same letters after it we notice we have three a B so

we can add 2 a B and three a B to get 5 a B next we pick the 5 BC we look for

another term with BC here we have negative 2 b c we work on 5 BC minus 2bc

to get 3 BC we cannot add 5 a B and 3 BC since they

have different letters after them so that is our final answer the invisible

one let’s look at the invisible one in algebra example a B is the same as one a

B this means if we have just letters without a number in front the invisible

one is assumed example 2 a B plus a B equals 2 a B plus 1 a B which equals 3 a

B again 3 AC plus AC will be equal to 4 AC because AC is the same as 1 AC multiplication and division we are now

familiar with addition and subtraction in algebra please I hope you have

mastered it because it is a step-by-step course and we have carefully chosen the

trend to make you good in algebra I’m sure you can do these what is 2 times 3

what is 5 times 6 if you had six and thirty we are good to

go if you are not good at multiplication

you can either learn them later by memorizing the multiplication table or

deriving it or watching our videos on math tricks for multiplication multiplication and division of negative

numbers the real problem in most cases is when negatives are introduced when

you multiply a negative and a positive number the answer is always negative

example negative 2 times 3 equals negative 6 5 times negative 6 equals

negative 30 notice in both cases one is positive and the other is negative now

let’s look at when you multiply two negative numbers when you multiply two

negative numbers the answer is always positive so we say negative 2 times

negative 3 equals 6 and negative 5 times negative 6 equals

30 the exact same idea applies to division we say negative 6 divided by

negative 2 equals 3 notice we worked with two negative numbers and our final

answer is positive when we divide negative 6 by 2 we get our final answer

to be negative 3 here one of the numbers is negative and the other is positive 6

divided by negative 2 will give us negative 3 here again one of the numbers

is positive and the other is negative so our final answer is negative please

pause this video and make sure you are familiar with the multiplication and

division of negative numbers before we move on multiplication and division in

algebra when we learnt addition and subtraction in algebra we said that

letters must be exactly the same before you can add or subtract them

example we can add 3a and 2a because both have the same letters after the

number we also said we cannot add 3a and to be because the letters are different

for multiplication and division it doesn’t matter the letters you can

always work on them example 6a be times 2a see the first thing you’ll do is

multiply the numbers just like we did in basic math multiply the 6 and the 2 to

get 12 now for the letters we just look at the number of occurrences here we can

see that there are two A’s so we have a exponent 2 there is just one B so we

have B here and we also have 1c easy right let’s try these

negative 3a B times negative 2b see here we multiply the negative 3 and negative

2 these are both negatives so we have positive 6 next we look at the

occurrence of the letters the a occurs just once the B occurs twice and the C

occurs once so our final answer is 6a B squared C when dealing with a lot of

multiplications please work on them from left to right this is not a mathematical

requirement this will just make it consistent with operations like division

and subtraction that require that order example negative 2a times 3a B times to

be here we will do the negative 2a times 3a be first to get negative 6a squared B

then we’ll multiply this by the 2 B to get negative 12 a squared B squared Division in algebra in Division we are

still looking at occurrence but in a slightly different way let’s look at six

a squared B divided by a negative 2a B squared I will encourage you to write it

in the fraction form it is easier we divide the numbers as usual we divide

the six by negative two to get negative three now we say there are two A’s at

the top and one at the bottom so there will be one left at the top there is one

B at the top and there are two at the bottom so there will be one left at the

bottom what we are actually doing is this a squared is the same as a times a

so we are just splitting the exponents and cancelling the common letters notice

that we did the same for the B after the cancellation we notice that we have one

a at the top and one B at the bottom let’s try another example here we have

15 x squared Y exponents 4/5 X Y exponent six first we divide the 15 by

the 5 to get 3 next we notice there are two x at the top and one at the bottom

so our answer will have one X at the top also we see there are four wise at the

top and there are six wise at the bottom so there will be two wise left at the

bottom so this is our final answer

This video is amazing! Thank you!

can someone explain the last example to me plssss

I love how I'm trying to learn this and advertisements pop up every 5 mins.

What the hells the matter woth you

Adding 5 Adverts to an educational video is just wrong YouTube!

Man. Problem I always had with algebra was the question, “why?” Why do we do certain things the way we do them, and why does that make them correct. Always struggled with that. For example, the negative multiplied by a negative, equaling a positive. Conventional wisdom would lead me to believe that two negatives multiplied by each other would just be a really negative thing. So why do they become positive?

6:08 is that how write time in multiplication

Lol I'm ten this is easy

speed up to 1.25 then she sounded like a normal human being. faster to understand too!

Here because I’m taking an Assessment Test to graduate high school 💔

omg, it worked!

thank you very much I'm so grateful!

8th grade here I comeeee

U r the best!pacient!

If you're not a robot you don't need to sound like one…

1:38 hol up is that a voice crack??

Nice refresher for mah upcoming entrance exam

STOP SCROLLING DOWN SOLDIER PAY ATTENTION

Man I wish algebra just didn't exist

add ax and ay,

Me: no, the letters are different.

When you didn’t pass the algebra test so you won’t fail the course

And yes it’s me

卐

卐

I really don't get it :< I'm really bad at this

Using this as a refresher for my HiSet test tomorrow. You are a god send.

Wow-thank you! Super helpful!

Whn you have been out of school 10 yrs and need to understand math lol

I have to take the HSPT, and I’ve learned nothing from my algebra teacher, so I really hope this helps!

Put the speed at 1.25 so it wont sound like shes talking to a bunch of morons

Wow, thank you very much! It was quite helpful, I'm only in 4th and we aren't learning algebra til' 6th, so middle school. But I'm glad to get a headstart, very helpful. ♡

Who else did it playback speed 1.25x?

I just hope we have youtube back then. I could have graduated with honors. 🤣😂

Thanks

When you are homeschooled and percastinate for an entire year and. Ow need to do over a months work of algebra in 2 weeks

Soo many algebra adds after watching this.

Why am I here ?

I'm not even taking math classes or anything… like i dnt use math math in my life.. so why

I am the grade 4 only but I understood very easily i used a almost of 54 videos but it is a very important for me and everyone as well as my brother and his grade is 2 only but he also understood these and when I gave him a set of questions he answered all right 5 stars

Wow thank you

I learn a lot mmmuuuaahh thnk u once again

@ultimatealgebra

I under that A squared plus B squared equals C squared, but can you explain something to me?

This is my own hypothetical math problem I'll be using to explain my confusion.

If Line A and Line B are parallel and the distance between line A and Line B is 10 meters but you travel at a 45 degree angle from Line A, how does it not take 15 meters to reach Line B? For some reason my mind jumps to it taking time and a half distance to travel between two parallel points when traveling at a 45 degree angle. I know this isn't true but can you explain in detail why besides A squared plus B squared equals C squared?

I’m in seventh grade and learning this over the summer so I can become illiterate 😂

FINALLY! AFTER 27 VIDEOS,SOMETHING SLOW,NO BACKGROUND DISTURBING AND PROPER TALK TO UNDERSTAND!THANK YOU

Holy shit she talks so slow I’m getting borrred

I need to master algebra because i will go to grade 7 this year

If you like this video you absolutely have to get the full course

(Available September 6-8 ONLY)@ https://ultimate-algebra.com. Please don't wait till it's too late. The full course is 100 times better than this video.* It covers all the topics you need to pass any test with ease so you can be rest assured you are ready

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Who else searched for Algebra videos and clicked this one because the thumbnail then got clickbaited

Best visual presentation I have seen . Please make Calculus and College physics videos .

I had to palse and thank u, I wish u were my teacher u explain it pretty well..

Most teachers suck ass at their job… This makes algebra seem like i couldve learned this at the age of 8 easily.

Best Video Ever – Just helped me a bunch. It's all in the way it's explained! Awesome!

Thanks

I got algebra 1 for 8th grade next year because I was being dumb and signed up. I regret it but at least I’m ahead of everyone and I don’t have to take it in high school I believe 💀😔

Yes, I can remember these simple facts , but What I don’t understand is why I’m using them. It would be so much more simple if I knew what I needed them for. I took pre-algebra in collage with a b grade, but still don’t know what it means. Wouldn’t It be easer to remember all the facts if I knew why I was learning it. I’m 67 years old now and still haven’t a clue. I do like working out the problems though. Would really like a response. ☺️

Helpful refresher, since I've been out of high school for so damn long. But oh my god I hate the shit out of this woman's irritating voice.

I'm an intelligent, retired, over 60, guy, with lots of successful life experiences, but if I were offered 5K to solve a simple algebraic equation, I couldn't do it. I wouldn't even know where to begin. I was so bright, I even skipped over grades 7 & 10. As an arts student growing up, I learned just enough to.pass my algebra class, and retained nothing of it once I graduated. Not a bit. I HATED it! It seems so simple here, but, as before, it just bores the hell outta me, still.

So you're telling me that I'll never get back with my ex because she's an x and I'm still at y. And even if we were the same letter, there would still be a power above our heads keeping us separated..

Boycott school learn everything from youtube. REPLY TO JOIN THE BOYCOOT?

Due to your slow monotone voice it doesn't help people learn it just makes it worse

34 years old and just now understanding this. Why couldn't it have been taught to me this simply? Thanks YouTube.

Why dont they make it this simple in school!? This was so easy to understand and learn. Now I know why my friend said algebra is easy.

I get this so much omg THANKSSSSS!!!

Please learn to pronounce EX PO NENT properly. Exponent – look it up on the internet dictionary that pronounces the words for YOU. EX PO NENT.

I know how to do algebra since kindergarten

Thank you so much❤❤❤

I failed algebra and have to retake it and don’t remember anything:)

Man im Going Start all over again

This is accually helping!!!

My school is advanced too much and im grade 6

And they teach this at grade 5

I didn’t take algebra in middle school so now I have to take it in high school 😔

A few more weeks until school

I want to see you do vectors this way lmao

dude ur mic pretty bad.

12a2 b2

If I could go back in time I would find the people or person who came up with Algebra and suffocate them in their crib. That is all.

I don't sub often. Joe rogan, vsauce. and now you guys. thank you!

still confused as to ehy the answer is y2

When you past Highschool but gotta come back to this to tutor your mums friends' kid.

Where was she at when I needed her in high school in the mid and late eighties 😐

tysm you helped me

When ur taking a algebra 1 regents tmmr and don’t know shit

yeah i have bout3 weeks to relearn all of this algebra lol dam aircarft maintiance

yeah i don't hw to do division

ware is the answer for algebra

Watch at 1.5x speed

13:15 Seriously lost me here

nice

Even as an adult I wish I knew why I need to know this

It’s my first year of high school and I’m praying this video actually helps me 🥺

bru

According Skool I have a learning disability, yet I understand….?????

What the point of the letters!

help me reading just help me'

Man i love it when a girl trys to make me feel like im mental its so hilarious and cute

It makes sense now learning algebra. I was taught basic algebra in school but not enough. This is very helpful.

Do you teach calculus

i've never seen a multiplication sign like that before, should be X.

Playback speed 1.25

At the last part where 15x to 2nd power y to the 4th power was divided to 5x y to the 6th power and the result was 3x over y to the second power.

Can someone please explain to me why there are only two y left? Because if there are only 2 y, you would cancel 1 so there is only 1 left but here we have y4 on the numerator and y6 on the denominator, did she subtract it?

I'm about to enter high school for my first year I gotta remember all the basics for so I'm not stuck thanks for the vids

Trying to teach myself this before Grade 10 starts. Something tells me I'm gonna need it.

That's a cool way to solve algebraic problems

I read the desc. and it says SATs which I know is for college entrance exams.

Im a 6th grader lol

why did you say dummies you can also just say beginners

This helped me alot thanks 😊😊😄😄

Can you get rid of the video shit at the end couldnt see answer