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

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I didnโt take algebra in middle school so now I have to take it in high school ๐

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 ๐

tysm you helped me

When ur taking a algebra 1 regents tmmr and donโt 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

Itโs my first year of high school and Iโm praying this video actually helps me ๐ฅบ

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 ๐๐๐๐

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

Thanks a bunch madam .

Hi glad to be here

If you hate algebra click in the๐ if you love algebra click the๐ in utimate algebra

Anyone else notice "for beginners/dummies" in the title?… ๐คฆโโ๏ธ

Your video was bullshit.Nobody follows…

I feel bad that it helps that sheโs talking so slow

Thanks a million youโre awesome ๐ and will definitely be getting this program especially as a pre-Med that math is a challenge

Great

It's so simple way to learn, thanks.

idek why I'm here, I'm just in 8th grade learning scientific notation๐

Bruh my 8 year old brother can do this i-

This is really helpful. I have all of my college classes but can't pass algebra at all. It is really stressful.

Oh wow… thank you!

best teacher . thank you more and more ๐๐๐๐๐๐

Why does a always come before b and c in an answer?

Also why is it y2 at the end? I don't understand.

I'm getting ahead of my class as they are learning how to divide integers like -5 / 2, which I already know, so I am just learning algebra on my own because WHY NOT?

gotta get em good grades m8

beautiful tone in your voice thanks ๐

And theย teacher had to make it so complicated

Why was this so hard in high school

Thank you ๐

Iโm only in 5th grade but Iโm watching this to get a head start when I start middle school

I love how I have a bunch of books on math and they all skip these basic steps

The teaching style of this video is outstanding, but the constant ad breaks are ridiculous. Very distracting and unnecessary.

Me remembering how to do this be like

OMG IM SO STUPID I UNDERSTOOD THIS IN CLASS LIKE WAT AM I DOING?!๐คฆ๐ฝโโ๏ธ And I watch the whole thing and remembered this last second

Her voice made me fall asleep… Masturbating to mathematics… This voice must be Ai. Or I blew my answer.

Make a harder video

You suck

who tf put letters in math??? i wanna talk

I understand this kinda but the problem is my math teacher just says we're doing algebra not WHAT TYPE of algebra. Im only in 6th grade and I have to learn fake measurements to learn how to convert between measurement systems on lesson 7.4 in a "Go Math" book on page 191 and I have NO IDEA what im doing. Can someone help me? I don't even know what type of algebra this is so now im stuck in a tough spot to get out of.

I'm still 10 and so easy

Iโm not a dummy. >:( furious )

This is excellent

๐ amazing

IS 6

Algebra is so easy

I'm watching this because I need to get better at math for my third quarter

Or you can just add the two xs to gather example 5x+2x=7×2

I am in third grade and I am learning pre Algebra. You explain so clear.

I like you vids A LOT

I love this, very helpful

My problem is I dropped out at 18 never got a ged. Now I am 48 make 85k a year but can't get on with a company because of a ged. I never used Algebra the whole time.

tbh this helped me alot

I really suck at math and tend to forget on how to solve math questions and it really bums me out. But thanks for the video it helps me a lot.

Jesus christ im in advanced Math in 8th grade which is Algebra 1 my TEACHER GOES WAY TOO FUCKING FAST SO I QUIT learning from her but I care about my grades so im on YT learning shit cautiously decently slow thank the lord people like you exist.

Itโs five AM I never had use or learned algebra in my entire life. Why the fuck do i enjoy this somehow?

It sucks I did not understand anything lol

This really helped, Iโm starting high school next year (Iโm currently in year 6) and I want to know at least the slightest bit about algebra because my teacher is making me do algebra

can we also write ab as 1 ab

is there any rule we should not write the number 1 at all

usless

I still donโt get what the X and Y is?. The moment they replaced numbers with letters I was done with math.

Your mean you said dummies I am in 3rd grade

This is great

This is so easy

This helped me so much for my test tomorrow, im from norway btw ๐

Very very good and simple explanation…….. Thank you for such a beautiful video…….Algebra is probably one of the most beautiful things gifted to mankind by God.

My teacher is so useless

I have a question? So the last problem you did for this video for do you flip the variables? Because how can it be y2 if you're dividing?

In 4 hours of class I would've learnt what I did in 15 mins

I made this comment half way through the video so I can state that in 6 hours of class time I could've learnt this, amazing

What's the point of algrbra? How do you use it In life?

Math is unnecessary complicated

This is way better than when I was in middle school (in the '90s). I joined the Military and everything and a lot of the jobs I wanted they wouldn't let me do because my math skills were so low. I just didn't have teachers except 1 that had the patience to slow down. What's funny is that I got Geometry pretty well because I had a teacher that was patient and figured out how my brain I guess puts things together.

I learned so much during this video, Iโm in 6th grade and I didnโt learn algebra yet. This helped me get ahead and hopefully get me into advanced math next year! ๐

I am sooo grateful I found this video, I hav searched high n low. I can't believe how much I've learned n 30 min. Watched it twice but thank u!!!๐

I wish I had this back in the 90s-2000s

I learned algebra here easier than I ever did in school. I still hate math, though.