Algebra – Basic Algebra Lessons for Beginners / Dummies (P1) – Pass any Math Test Easily

Algebra – Basic Algebra Lessons for Beginners / Dummies (P1) – Pass any Math Test Easily

hi welcome to Learning Algebra from
Scratch a course from 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

100 thoughts to “Algebra – Basic Algebra Lessons for Beginners / Dummies (P1) – Pass any Math Test Easily”

  1. I love how I'm trying to learn this and advertisements pop up every 5 mins.
    What the hells the matter woth you

  2. 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?

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

  4. 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. ♡

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

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

  7. 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

  8. @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?

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

  11. 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 💀😔

  12. 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. ☺️

  13. 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.

  14. 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.

  15. 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..

  16. 34 years old and just now understanding this. Why couldn't it have been taught to me this simply? Thanks YouTube.

  17. 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.

  18. 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.

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

    A few more weeks until school

  20. 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.

  21. 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?

  22. 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

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