learning algebra from scratch. Hi welcome

to learning algebra from scratch a course from UltimateAlgebra.com. this

course will start you from level zero and help you build a strong foundation

this course is designed to make it possible for you to consume all the

content today and get ready for test tomorrow we however want you to master

every step before you move to the next step the course is designed so that

you’ll be able to learn pictorially meaning apart from the minor addition

and subtraction here or simple multiplication and division there you

should be able to work out problems and get the right answer without even

knowing algebra because of its design skipping a lesson is strictly banned I

stress that the course is designed to be extremely easy in fact designed so that

a ten-year-old can understand finally the course focuses on giving you all

that you need to further your learning and math okay so let’s start I’m sure

you already know how to do these what is two plus three what is three plus four

if you got five and seven your basic edition is okay negatives or subtraction for most people the problem starts when

we begin to deal with negatives so let’s try this what is two minus three what is

two plus negative three hope you had negative one and negative one as your

answers we can say that two plus negative three equals two minus three

the plus negative is the same as minus let’s try this what is negative three

plus two if you had negative one congratulations we notice that we can

interchange the numbers that is two minus three equals negative three plus

two please note that the negative sign in front of the three was maintained

let’s now look at three minus negative two try it let’s see how much you still

remember hope you had five as your answer we say

that the subtraction of a negative number is addition so 3 minus negative 2

is the same as 3 plus 2 which equals 5 multiple addition and subtraction let’s

look at a lot of numbers when you want to add or subtract numbers please work

from left to right example add 2 minus 3 plus negative 4 plus 5 here we work on

this 2 minus 3 first to get negative 1 then we add negative 4 to get negative 5

then finally we add 5 to get 0 addition of two negative numbers finally

let’s look at something very important we are looking at the addition of two

negative numbers add negative two plus negative three I’m sure you had negative

five again you remember that negative two plus

negative three could be written as negative two minus three the plus

negative is minus addition and subtractions

in algebra in algebra it gets easier we can only add things if the letters and

their exponents following them are exactly the same example we can add 2x

and 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 and

the 3 to get 5 then we brought the X after it the final answer is therefore

5x example two 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 + 3 X 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 a B plus 2 AC

although they both have a one is a B 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 added multiple numbers in basic math we might have to

add multiple terms in algebra let’s try this to a B plus 5b c plus 3 a B minus

2bc here we take the first term to 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 to a B

and three a B to get five a be next we pick the 5b c we look for another term

with bc here we have negative 2b c we work on 5b c minus 2bc to get 3 bc we

cannot add 5 a b + 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 two a B plus a B equals to a B plus one a B which equals three a B

again three AC plus AC will be equal to four AC because AC is the same as one 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 6 and 30 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 3 a + 2 B because the letters are different for multiplication and

division it doesn’t matter the letters you can always work on them example 6 a

B times 2a C 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 – there is just one B so we

have B here and we also have one C easy right

let’s try these negative 3a B times negative 2 B C 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 six a 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 6 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 6 by negative 2 to get negative 3 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 6 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 y’s left at the bottom so this is our final answer

I wasn't paying some attention in class and this really helped me to catch up thankyou

my brothers knows algebra ty ( he is 8 )

Thanks Keep it up

I see that I need to study the rules of algebra before I start. Thanks Lord!

I so understand from u

URGENT INFO: This is just our beginners/foundation course. Visit http://ultimate-algebra.com and get all our other course so you can master Algebra. You will love it.

The purpose of this course is to make Algebra "Annoyingly" Easy.

1. It was designed so that even a 10year old can fully understand. We actually even have 7 year old students going through it successfully.

2. We avoid using terms to explain anything, Example instead of saying variable, we will simply say letters. This will ensure that anyone who knows absolutely nothing in algebra can still learn it successfully

3. We used multiple modalities to make sure it is clear and concise. We use color codes so that your eyes can easily pick up information without you even putting effort into it. We made sure every theory is clearly stated and all the exceptions are duly noted so that you cannot get confused.

These are a few things about this course. It is not intended to be everything you need in Algebra. Please visit http://ultimate-algebra.com and get the full course and other courses, so you can say good bye to your algebra problems permanently and pass your next test with ease

in school i was always confused and i spent my life thinking that i was a idiot and that i would never beable to learn this. but i just watched this video today and i cant stop crying because of how mutch better this is. this video did more then i ever learnd in school. and now im sad because i realized how close i was to geting my ged. thank you. for helping

I'm 14 and didn't understand any algebra (thanks to my teacher) this video helped alot!

thank you so much !!!!!! I need this for my GED!!!!! this is my second time viewing this video thank you so much I still need more practice…

I got a 100 on my math test

I got a 100 on my math test

ah…. my head….. so painful. but anyway thanks for the video. its very helpful.

how do i get already have pre algebra

So Helpful! ;D

She talks so slow, and wow this part is so easy

TBH i am kinda confused

Amazing! Thank you very much.Great video.

This is so helpful, Thank you!

May i ask what software do you use? i know camtasia can record your screen. what about to be able to write ? how do you capture what you write?

God bless you. None of my maths teachers can teach or understand autism. I learn better visually.

woww… I'M A MATHS GENIUS NOW. BIG THANKS TO YOU. IT WAS REALLY WELL EXPLAINED THAT I BEGIN TO THINK MY COLLEGE TEACHERS WERE REALLY NOT GOOD AT maths.

I'm 11 and this is easy

Thought was gunna be dumb video but was extremely helpful for someone who hasn't taken math in 12 years. Lol. Thanks

i guess this help full for a litte bit im gonna keeo watching this videos until i get smart im so bad at math i have to keep remember

Learning my way up to calculus.

Omg thank you so much!!! Searched so long for these videos😭😭 THX

Thanks even though I am 10 it helps a lot

thumbs down for getting 2+-3= wrong lmfao….ive been out of school since 2006 and i just hated math all over again lmfao

Fantastic. Love learning algebra.

thank you so much

Thank you so much for the perfect explaining.

The way you teaches it makes mathematics so easy to understand.

Step by step even my mathematics teacher never explained those step that clearly.

And the voice in video is so clear and good quality it don't hurt my ear when I hear them with my headphones on.

Wow this is so helpful. I'm in middle school and I'm so confident I'm gonna do great in math.

thanks very nice lesson. From Iraq-Kurdistan

9:37

it gives me and headache but worth it

This helped alot

Lol im 9 just watching this cause i want to

This video should not have dis likes its algebra. learning some thing new

I am in year 5 but I still understand algebra some of them look easy

Great video😀

Ugh, I wish my teacher explained as clearly as this video did but she goes too far wiv it

This is easy

Thxs i have no need for it but its always good to learn

Thanks

I want algebra

How to solve the long algebra??

So i got a math education for algebra and im in 5th so i need to learn this

At [02:25] you didnt use brackets, for minus.hre you have a plus and a minus togther, unseparated

one of theanswers is wrong th 2-3+4-5 they sayed that it was=0 but its=-1

omg thank you so much now I understand algebra!!!

Thank you i dont have one to teach me this helped alot

thank you for helping meeee!!!!!!!

Great presentation and narration.. savannah, can you make a tutorial for worded problems? I seem to loose focus and get all confused when it’s in a story form.

so hard !!!!!!

I still don’t understand. I feel like an idiot

This video is good, but could somebody pls tell me why a kid who's probably going to end up working as a janitor or a cashier would need to know algebra?

Learning step by step for asvab god this is so helpful

Hello i just purchased the ultimate complete algebra suite would this cover the arithmetic reasoning and mathematics knowledge on asvab ??

thank you so much I have mild aspergers for some reason I can do stuff like mathematical in physics but can't do this the video helped me a lot

How is 18:32 possible i dont see any small 2 there

I played this at 1.25 bc ur voice is so slow

Set the speed to 1.25

Thank me later

I love math women lol

this is really good

ohhh my god the way you talk, stop I cannot concentrate!!

Thanks

Since I hate algebra, this course was a big help as I prepare for test in my pre-algebra class, Thanks

Im confused

Lol I’m in grade 5 and. I understand this and my class mates have no clue XD

thanks so much for helping! i just didn't understand the long division at the end, I've never understood long division, it is just so confusing for me. i didn't understand everything with the Y's and stuff.

This is really helpful video

nice!!!!!!

3 – -2 = 5

i dont get it

How is it 5 when its a minus ?

This is so confusing your making me lose my mind how dose this teach you

My teacher can’t just teach me this instead of doing a whole math year?

Weird.

This looks super boring but I really need some kinda help because I have to get through the whole year while maintaining a B- average the ENTIRE year

Edit: This helped a bunch thank you so much😊

Sorry but the explanation is very confusing because she doesn't explain the process of the at the end.

Yay! I understand now thank you so much!

Y4 divided by Y6 = Y2?????? Please explain!

Wow. Ultimately i learned the algebra which was nearly impossible for me to learn algebra . Thank-you mam.

As always it's a lie, the course isn't free!

listen to it using 1.25 speed

1:21 I'm an 8 year old.

I've learned more from this video. Then from my math teacher.

20:58 Y^4 ÷ Y^6 is not Y^2 the correct answer is Y^-2

(¥ × ¥ × ¥ × ¥) ÷ (¥ × ¥ × ¥ × ¥ × Y × Y ) Cancel the Y's

1÷Y^2 Laws of exponent = Y^-2

I learned with this video than my college professor. Thank you!

I meant I learned more with this video than my college professor

I love all the videos! However my kids are distracted, because they say “the voice should be less boring”.

can someone pls explain to ne how in in the end it got to y2 ..i divided both of them by 2 to get y2 and y3

How is this algebra

In the last example, how did you get y2 at the bottom? 4 only goes into 6 1 times with 2 remainders. Is the 2 remainders why the answer is y2?

It is awesome

Thank you for your help friend😆😊

This video should have long passed a million views . Thanks for these rules they are foundational .

Thank you i had no idea how to do algebra and I have a test tomorrow

God continue to bless you for uploading this wonderful video . I never dreamed throughout my life that I will get to know this but today I became perfect within after watching this video 🙏

thoda aur ache se samjha eye na please

Very good and smart

I love how they start with integers and slowly show how algebra is integrated. Thank you Ultimate Algebra!

I get it all I am just a bit stuck on the division one