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

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
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. Eunice Irigoyen says:

This video is amazing! Thank you!

2. Isla Venice Segovia says:

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

4. S.E. Sander says:

5. Scpop Stillmunch says:

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. MOHIB IQBAL says:

6:08 is that how write time in multiplication

7. Bruce Burks Gaming says:

Lol I'm ten this is easy

8. Anon Kat says:

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

9. Briceyda Alas says:

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

10. samer sawas says:

omg, it worked!
thank you very much I'm so grateful!

11. Makayla Marie says:

12. Sami Bocharov says:

U r the best!pacient!

13. Joe Pro says:

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

14. Denjell says:

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

15. Itsthefbit says:

Nice refresher for mah upcoming entrance exam

16. I Comment On Stuff says:

STOP SCROLLING DOWN SOLDIER PAY ATTENTION

Man I wish algebra just didn't exist

18. Jennifer Mortimer says:

Me: no, the letters are different.

19. Evelin Hernandez says:

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

And yes it’s me

20. Toy time helix says:

21. Toy time helix says:

22. 339 AloneTraveler says:

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

23. Trevin's Hobbies says:

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

24. MellieKims says:

25. Kat Dodd says:

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

26. makayla hutcherson says:

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

27. leam leam says:

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

28. Ice Queen says:

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. ♡

29. Center Hearthian says:

Who else did it playback speed 1.25x?

30. J R says:

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

31. NormalPerson 109 says:

Thanks

32. The Alpha says:

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

33. MS3 VERYTHING says:

Soo many algebra adds after watching this.

34. Corey Dennis says:

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

35. srinivasa rao says:

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

36. Mary Ane Carpio says:

Wow thank you
I learn a lot mmmuuuaahh thnk u once again

37. James Ambush says:

@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?

38. Tameme -_- says:

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

39. win naing says:

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

40. Brianna Wilson says:

Holy shit she talks so slow I’m getting borrred

41. glaxgurl sofie says:

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

42. UltimateAlgebra says:

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* 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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43. FireMonkey says:

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

44. Gary S. Seth says:

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

45. Tamaya Muir says:

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

46. KoliPoki TheBold says:

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

47. Latasha Greene says:

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

48. Time Bear says:

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 💀😔

50. Marilyn Reasons says:

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. ☺️

51. Havel The Roque says:

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.

52. D Me says:

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.

53. Johannes says:

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..

54. IvIKu GAMING says:

55. Mitchell Singh says:

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

56. Winter Plover says:

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

57. zeno contereas says:

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.

58. Lana_likes_Ben_drowned UwU says:

I get this so much omg THANKSSSSS!!!

59. Ross Harris says:

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.

60. LAURIENNE PLAYZ YT CHANNEL 123 says:

I know how to do algebra since kindergarten

61. Isse Hassan says:

Thank you so much❤❤❤

62. Angie Finnerty says:

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

63. Alex Mercer says:

Man im Going Start all over again

64. David Gamez says:

This is accually helping!!!
And they teach this at grade 5

65. Chimstudio says:

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

A few more weeks until school

66. STR8L8CED says:

I want to see you do vectors this way lmao

67. a_wild_bic says:

68. love Forever fashion says:

12a2 b2

69. Tim Lovett says:

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.

70. Taylor Hagin says:

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

71. Kraydo Wyno says:

still confused as to ehy the answer is y2

72. Mimo says:

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

73. Brian Daniel says:

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

74. TastyTacosX says:

tysm you helped me

75. Spooner Santana says:

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

76. OG KUSHSHUSH says:

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

77. OG KUSHSHUSH says:

yeah i don't hw to do division

78. Te Huia Kohatu says:

ware is the answer for algebra

79. Sungazer says:

Watch at 1.5x speed

80. Sungazer says:

13:15 Seriously lost me here

81. Josie Ardion says:

nice

82. scooter22 says:

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

83. Joel Elfert says:

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

84. Allen Brown says:

bru

85. Cali Latin says:

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

86. los lakers says:

What the point of the letters!

87. Allen Brown says:

help me reading just help me'

88. lone angel says:

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

89. rob yohn says:

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

90. NAVEEN KUMAR SINGH says:

Do you teach calculus

91. Welsh knight says:

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

92. LayZ Lifts says:

Playback speed 1.25

93. Simple Trivia says:

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?

94. Connor Oros says:

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.

96. How Convert says:

That's a cool way to solve algebraic problems

97. army ishabelle says:

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

98. Gabriel Oluyede says:

why did you say dummies you can also just say beginners

99. UnicornCake_ YT says:

This helped me alot thanks 😊😊😄😄

100. 8534964 says:

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