Algebra 1 Full Course

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  • Опубликовано: 31 мар 2025
  • www.greenemath....
    In this course, we will explore all the topics of a typical algebra 1 course. We will cover variables and algebraic expressions, how to solve linear equations and inequalities, graphing linear equations in two variables, functions, systems of linear equations, rules of exponents, polynomials, factoring, rational expressions, radicals, and quadratic equations.
    00:00:00 #1 Variables and Algebraic Expressions
    00:26:26 #2 What is an Equation
    00:44:10 #3 Addition Property of Equality
    01:06:38 #4 Multiplication Property of Equality
    01:26:19 #5 Multi-Step Linear Equations
    01:50:33 #6 Equations with Fractions/Decimals
    02:32:16 #7 Special Case Linear Equations
    02:44:51 #8 Solving Word Problems with Linear Equations I
    03:07:51 #9 Solving Word Problems with Linear Equations II
    03:36:58 #10 Solving Proportion Equations
    04:00:57 #11 Solving Linear Inequalities I
    04:40:20 #12 Solving Linear Inequalities II
    05:02:08 #13 Introduction to Linear Equations in Two Variables
    05:23:42 #14 Plotting Ordered Pairs
    05:42:07 #15 Graphing Linear Equations in Two Variables
    06:09:48 #16 How to Find the Slope of a Line
    06:34:36 #17 Equations of a Line | Slope-Intercept Form | Standard Form
    07:10:51 #18 Parallel and Perpendicular Lines
    07:43:10 #19 Graphing Linear Inequalities in Two Variables
    08:02:04 #20 Introduction to Functions
    08:28:50 #21 Solving Linear Systems Using the Graphing Method
    08:51:42 #22 Solving Linear Systems Using the Substitution Method
    09:20:09 #23 Solving Linear Systems Using the Elimination Method
    09:48:32 #24 Solving Word Problems with Linear Systems
    10:12:38 #25 Solving Systems of Linear Inequalities
    10:27:41 #26 Product & Power Rules for Exponents
    10:48:18 #27 Negative Exponents & the Quotient Rule for Exponents
    11:15:20 #28 Scientific Notation
    11:38:21 #29 Adding & Subtracting Polynomials
    12:15:31 #30 Multiplying Polynomials
    12:41:26 #31 FOIL (Finding the product of two binomials)
    12:55:21 #32 Special Polynomial Products
    13:30:42 #33 Dividing Polynomials by Monomials
    13:53:38 #34 Dividing Polynomials
    14:26:06 #35 Dividing Polynomials with Missing Terms
    14:41:04 #36 GCF for a Group of Monomial Terms
    15:03:52 #37 Factoring Out the GCF
    15:27:32 #38 Factoring by Grouping
    16:00:04 #39 Factoring Trinomials when a is 1
    16:24:41 #40 Factoring Trinomials when a is not 1
    16:53:43 #41 Special Factoring Formulas
    17:22:39 #42 Solving Quadratic Equations Using Factoring
    17:52:52 #43 Introduction to Rational Expressions
    18:22:52 #44 Multiplying & Dividing Rational Expressions
    18:48:12 #45 Finding the LCD of Rational Expressions
    19:06:24 #46 Adding & Subtracting Rational Expressions
    19:38:06 #47 Simplifying Complex Rational Expressions
    20:20:39 #48 Solving Rational Equations
    20:47:51 #49 Solving Word Problems with Rational Expressions
    21:07:37 #50 Direct Variation Problems
    21:24:32 #51 Inverse Variation Problems
    21:40:14 #52 Introduction to Square Roots
    22:11:57 #53 The Distance Formula
    22:29:50 #54 Simplifying Radicals
    23:16:02 #55 Adding & Subtracting Radicals
    23:35:50 #56 Rationalizing the Denominator
    24:00:37 #57 Further Operations with Radicals
    24:38:45 #58 Solving Radical Equations
    25:08:53 #59 Fractional Exponents
    25:32:32 #60 Solving Quadratic Equations with the Square Root Property
    25:58:10 #61 Solving Quadratic Equations by Completing the Square
    26:25:35 #62 Solving Quadratic Equations with the Quadratic Formula

Комментарии • 953

  • @Greenemath
    @Greenemath  3 года назад +1212

    Check out our Algebra 1 course:
    greenemath.com/AlgebraI.html
    00:00:00 #1 Variables and Algebraic Expressions
    00:26:26 #2 What is an Equation
    00:44:10 #3 Addition Property of Equality
    01:06:38 #4 Multiplication Property of Equality
    01:26:19 #5 Multi-Step Linear Equations
    01:50:33 #6 Equations with Fractions/Decimals
    02:32:16 #7 Special Case Linear Equations
    02:44:51 #8 Solving Word Problems with Linear Equations I
    03:07:51 #9 Solving Word Problems with Linear Equations II
    03:36:58 #10 Solving Proportion Equations
    04:00:57 #11 Solving Linear Inequalities I
    04:40:20 #12 Solving Linear Inequalities II
    05:02:08 #13 Introduction to Linear Equations in Two Variables
    05:23:42 #14 Plotting Ordered Pairs
    05:42:07 #15 Graphing Linear Equations in Two Variables
    06:09:48 #16 How to Find the Slope of a Line
    06:34:36 #17 Equations of a Line | Slope-Intercept Form | Standard Form
    07:10:51 #18 Parallel and Perpendicular Lines
    07:43:10 #19 Graphing Linear Inequalities in Two Variables
    08:02:04 #20 Introduction to Functions
    08:28:50 #21 Solving Linear Systems Using the Graphing Method
    08:51:42 #22 Solving Linear Systems Using the Substitution Method
    09:20:09 #23 Solving Linear Systems Using the Elimination Method
    09:48:32 #24 Solving Word Problems with Linear Systems
    10:12:38 #25 Solving Systems of Linear Inequalities
    10:27:41 #26 Product & Power Rules for Exponents
    10:48:18 #27 Negative Exponents & the Quotient Rule for Exponents
    11:15:20 #28 Scientific Notation
    11:38:21 #29 Adding & Subtracting Polynomials
    12:15:31 #30 Multiplying Polynomials
    12:41:26 #31 FOIL (Finding the product of two binomials)
    12:55:21 #32 Special Polynomial Products
    13:30:42 #33 Dividing Polynomials by Monomials
    13:53:38 #34 Dividing Polynomials
    14:26:06 #35 Dividing Polynomials with Missing Terms
    14:41:04 #36 GCF for a Group of Monomial Terms
    15:03:52 #37 Factoring Out the GCF
    15:27:32 #38 Factoring by Grouping
    16:00:04 #39 Factoring Trinomials when a is 1
    16:24:41 #40 Factoring Trinomials when a is not 1
    16:53:43 #41 Special Factoring Formulas
    17:22:39 #42 Solving Quadratic Equations Using Factoring
    17:52:52 #43 Introduction to Rational Expressions
    18:22:52 #44 Multiplying & Dividing Rational Expressions
    18:48:12 #45 Finding the LCD of Rational Expressions
    19:06:24 #46 Adding & Subtracting Rational Expressions
    19:38:06 #47 Simplifying Complex Rational Expressions
    20:20:39 #48 Solving Rational Equations
    20:47:51 #49 Solving Word Problems with Rational Expressions
    21:07:37 #50 Direct Variation Problems
    21:24:32 #51 Inverse Variation Problems
    21:40:14 #52 Introduction to Square Roots
    22:11:57 #53 The Distance Formula
    22:29:50 #54 Simplifying Radicals
    23:16:02 #55 Adding & Subtracting Radicals
    23:35:50 #56 Rationalizing the Denominator
    24:00:37 #57 Further Operations with Radicals
    24:38:45 #58 Solving Radical Equations
    25:08:53 #59 Fractional Exponents
    25:32:32 #60 Solving Quadratic Equations with the Square Root Property
    25:58:10 #61 Solving Quadratic Equations by Completing the Square
    26:25:35 #62 Solving Quadratic Equations with the Quadratic Formula
    Always work the problems in the video on your own. If you simply watch the video and don't try any problems, you will be BORED and retain very little. Pause the video often and try to find the solutions on your own!

    • @Greenemath
      @Greenemath  3 месяца назад

      The chapters will only show up if you screen is large enough.

  • @uNknownrMx
    @uNknownrMx 2 года назад +3065

    This video is so underrated; it needs more attention. I can't imagine how long it took him to do it, edit it, and upload it, given the amount of time and data usage involved. It's priceless and beyond any value.

    • @Greenemath
      @Greenemath  2 года назад +201

      Thanks for the nice comment.

    • @Greenemath
      @Greenemath  2 года назад +111

      You have z^2 x in each case, the order is just reversed. The order that you multiply doesn't change the product. 3 x 4 = 12 and 4 x 3 = 12, so z^2x is equal to xz^2.

    • @memebaltan
      @memebaltan 2 года назад

      @@lunatikhumor666 linear.

    • @bunnyman6321
      @bunnyman6321 2 года назад

      @@lunatikhumor666 😀😀

    • @wadeinn463
      @wadeinn463 Год назад

      @@bloroxcleach89637,000 likes now .. gone viral

  • @sellthesky4296
    @sellthesky4296 Год назад +1188

    I just passed my Algebra final exam and thus my class thanks to your videos. Thank you so much for your quality, digestible content, sir!

    • @Greenemath
      @Greenemath  Год назад +134

      I'm really glad to hear that and thanks for the donation to GreeneMath!

  • @tanicwhisper0647
    @tanicwhisper0647 Год назад +48

    Mr. Green I finished your pre-algebra course. I can not thank you enough, so please enjoy this donation.
    I’m studying for the ASVAB, and your whole Mathematics course has really changed my testing scores. I’ve taken 2 practice test, and each time the scores get better, and the math becomes more, and more recognizable. I appreciate you, and my future self appreciates you even more.

    • @Greenemath
      @Greenemath  Год назад +6

      Thanks for the donation to GreeneMath, it's greatly appreciated. I'm glad the course was helpful and thank you for your future service to our country!

    • @tanicwhisper0647
      @tanicwhisper0647 Год назад

      @@parzival8331 Watch their videos, and go to the website to practice their unit test. Keep doing that for every lesson until it all becomes familiar.
      Practice, and practice some more. It definitely helps.

    • @Alison-kj4jp
      @Alison-kj4jp 4 месяца назад

      I loved the Prealgebra course and the practice questions were excellent.

  • @westy6214
    @westy6214 2 года назад +106

    Thank you very much for sharing this. I have recommended this to a few students, and they love how in-depth this is. They've learnt at a staggering rate.

    • @Greenemath
      @Greenemath  2 года назад +4

      Glad it was helpful! Thanks for being a channel member.

  • @RicardoGonzalez-tg3lw
    @RicardoGonzalez-tg3lw Год назад +38

    I watched the whole thing and enjoyed every second of it! Kudos to you, you're an amazing teacher.

    • @Greenemath
      @Greenemath  Год назад +8

      Glad you enjoyed it! Thanks for the donation, it is greatly appreciated!

  • @TylenolDh
    @TylenolDh Год назад +7

    Thank you for all of your hard work. I purchased all of your courses on Udemy.

    • @Greenemath
      @Greenemath  Год назад +1

      You are welcome, thanks for the donation.

  • @bigprogramming579
    @bigprogramming579 2 года назад +7

    Hi sir, I am not sure if you remember but I ask you a lot of questions :), today in 22 days I completed this course, just wanted to say thankyou for replying to my every question, I remember seeing few peoples comments on when they completed with linear inequalities and I use to have no idea what it was now, and now I can solve quadratic equations sometimes in my head., I will start will college algebra from your website soon and if you want update i have a comment on that, thankyou sir.

    • @Greenemath
      @Greenemath  2 года назад +4

      You are welcome. I'm glad the course was helpful. Don't forget to do lots of practice.

    • @bigprogramming579
      @bigprogramming579 2 года назад +1

      @@Greenemath Ofcourse sure, thankyou again.

  • @bakedunikornbillie4161
    @bakedunikornbillie4161 Год назад +1

    Thanks for doing an 26 hour video of algebra

    • @Greenemath
      @Greenemath  Год назад

      You are very welcome! Thanks for making a donation to GreeneMath, it's greatly appreciated.

  • @MattyP3789
    @MattyP3789 Год назад +4

    Not Incluuuuuuuded 😂😂😂 I love your style, and more importantly, your dedication to education. So I wanted to incluuuuude a thank you!

    • @Greenemath
      @Greenemath  Год назад

      You are welcome, thanks for being a channel member!

  • @danielplays1846
    @danielplays1846 3 месяца назад +2

    Thank you SO MUCH. I hadn't paid attention my whole semester in Algebra and was failing, due to likely burnout. I could understand all of my semester's worth of content through studying on a single weekend and I am starting to pass my class. I genuinely thank you for this.

    • @Greenemath
      @Greenemath  3 месяца назад +1

      You are very welcome and thanks for the donation to GreeneMath. I'm glad to hear that your grades are starting to improve. Let me know if you have any questions and good luck!

  • @Alison-kj4jp
    @Alison-kj4jp 4 месяца назад +3

    I used your Prealgebra course on Greenemath and loved the computer generated problems. I could just practice as much as I wanted and the full walk through was there when I made a mistake. Anyway I am doing the Algebra 1 course and it seems like only some sections have computer generated problems. Don't get me wrong, there is still a ton of practice but I don't like how the multiple choice quiz doesn't really explain if you make a mistake. So I would ask that you please add in computer problems for all of Algebra 1 like you did for Prealgebra.

    • @Greenemath
      @Greenemath  4 месяца назад +1

      I'm currently working on trying to have that feature for all of Algebra 1 and 2. I can see that a lot of students prefer it to the solution video approach. In hindsight, I should have gone that route versus making solution videos.

    • @Alison-kj4jp
      @Alison-kj4jp 4 месяца назад +1

      @Greenemath I love your solution videos, they are very detailed. The problem generator is also extremely helpful. Most sites have generators but yours is the first to have extremely detailed solutions. I had bought Kuta Algebra but if you get stuck, you really have nowhere to turn. Hope you get funding from somewhere. Seems like you could really go far with some help.

    • @Greenemath
      @Greenemath  4 месяца назад

      @Alison-kj4jp For most students, they are just buying a $10 workbook with the steps in the back. You are right on the generator part, tons of Algebra websites have a generator but no steps. You can look at MathAids, which is very popular. You can also use Chat-GPT. The newest model will make problems with the steps and give you a pdf. There really isn't a good way to get funding for this type of work, you just have to chip away at the content you want to make using whatever extra time you have during the week and then of course you can work some on the weekend. Good luck!

  • @sam5932
    @sam5932 2 года назад +1

    I must add you are an amazing Mathematician. It was because of your well structured Algebra 1 video that I was able to thoroughly prepare for my Asvab Arithmetic Reasoning & Mathematics Knowledge section of the examination and pass with a high score. How you convey information behind a computer screen is commendable. I cannot thank you enough for creating an affordable math course. Thank you Mr Greene!

    • @Greenemath
      @Greenemath  2 года назад +2

      Wow, thanks! Good luck with the military and thank you for your future service and for being a channel member!

  • @bigprogramming579
    @bigprogramming579 2 года назад +4

    Hi, what if we need to graph a linear inequality in 2 variables that has a fixed value for x and y and will the graphing method be the same if we have to graph something like 3>x3

    • @Greenemath
      @Greenemath  2 года назад +1

      What are you trying to graph? In your example you only have 1 variable. You wrote:
      3 > x3 < 4x
      I'm not sure if you mean to write 3x or x^3?
      Also, all of your symbols typically need to point to the left for this type of inequality, which is known as a "three-part inequality".
      So maybe you wanted:
      3 < 3x < 4x
      For that situation, you need so split it up as a compound inequality using the keyword "and". That isn't in algebra 1, but it is in algebra 2 and college algebra.
      greenemath.com/Algebra2/12/CompoundInequalities.html
      greenemath.com/College_Algebra/42/Compound-Inequalities.html
      Basically, you would say:
      3x > 3 and 3x < 4x
      3x > 3
      x > 1
      3x < 4x
      x > 0
      So basically it is x > 1 and x > 0, so you take x > 1 since we want the intersection of the two solution sets.

    • @bigprogramming579
      @bigprogramming579 2 года назад +1

      @@Greenemath Oh ok I understood it perfectly and with the book you shared it was even better, thankyou.

  • @MattyP3789
    @MattyP3789 Год назад +3

    Hi sir. I love your channel and I’m a monthly paying member. I’m going to bother you with a question and its context. So, please forgive me for my presumption. I am starting back to university in January and will be majoring in Physics, and then on to grad school for a MS in Theoretical Physics. I’m a former student who passed College Algebra 1 & 2, and Calculus 1. I was an Accounting student then and they just weren’t at the top of my priority list at the time, so I just got by and studied to pass with B’s and a C in Calc 1. I had no college trigonometry and I remember little of geometry. Not actually learning the math obviously won’t be the case in January, so I’ve decided to increase my mathematical knowledge over the next 5 months to help ease my eventual pain! Would you please suggest a plan of attack that would help me get ready? I’d like to include algebra, geometry, trigonometry, and some basic calculus. I know it’s a lot. However, I do have about four to five hours a day to watch your videos and study. I sit in front of my tv and take copious notes as I watch your lessons. If you could outline a path for me regarding which of your subjects I should watch, and in what order, I would be forever indebted to you. It took me about a month, without too significant of an effort, to get through your Pre-Algebra course and your Algebra I course. I’m quite sure they will get significantly harder! I certainly understand if you don’t have the time to do this. But don’t worry, I’ll still be a member! You have a teaching style that just clicks with me. Cheers
    Respectfully,
    Matthew Scott

    • @Greenemath
      @Greenemath  Год назад +1

      Thanks for being a channel member. Physics is extremely math-heavy but I would assume they will make you take all of the basic math courses over and not just throw you into a class where very heavy math is required.
      Given the limited time you have, you might want to invest in a workbook for each subject. Something like a Schaum's outline will probably work best. Those books have tons of problems and most have solutions. You can do four hours a day of problems and use the remaining hour to watch videos on topics that you get stuck on. Given the amount of time, I think that could work. Try searching on Google for a free copy of the book you want using the title followed by PDF.
      If you were self-studying and had no time limit, I would get a textbook for each subject. Pre-Algebra, Algebra 1, Pre-Calculus, and Calculus 1. I would then read the text, followed by watching a video lesson (can just search on RUclips), then do the problems in the book. That would give you a complete understanding of each topic. Going through all of those topics in a very complete way would probably take at least 1 year.

    • @MattyP3789
      @MattyP3789 Год назад +1

      @@Greenemath Excellent advice. Thank you so much for your help!

    • @Greenemath
      @Greenemath  Год назад

      @MattyP-qd2sz
      You are welcome. If you are having trouble finding the workbooks for free, check out the internet archive. You can borrow the PDF for free. Here is the precalculus one:
      archive.org/details/schaumsoutlineof00safi/page/402/mode/2up

  • @bigprogramming579
    @bigprogramming579 2 года назад +3

    Hi everyone, if anyone knows it then can someone take sometime to explain about section 17

    • @Greenemath
      @Greenemath  2 года назад

      If you leave a time marker and a specific question, I can try to explain what's going on. It's best to use GreeneMath.com so you can practice as you watch the lessons. This will help to reinforce the concepts you are learning.

    • @bigprogramming579
      @bigprogramming579 2 года назад +1

      @@Greenemath Oh ok sir, I will after every lesson try to do the questions on your website.

    • @Greenemath
      @Greenemath  2 года назад

      @Big Programming It will really help. The more you practice the better you will get. You can also search for Schaum's Outline Algebra PDF and there's usually a copy floating around for free. You can just work through all of those and there are step-by-step answers.

    • @bigprogramming579
      @bigprogramming579 2 года назад +1

      @@Greenemath Sure, I will try that thankyou.

  • @ThatGworl2023
    @ThatGworl2023 2 года назад +2

    Finally starting to understand Algebra. Thank you!

    • @Greenemath
      @Greenemath  2 года назад

      I'm glad to hear that! Good luck with your studies!

  • @amyhowardmiller8328
    @amyhowardmiller8328 2 года назад +1

    Thanks!

    • @Greenemath
      @Greenemath  2 года назад

      You are very welcome, I really appreciate the Super Thanks!

  • @E-Kat
    @E-Kat Год назад +2

    I was not very good at maths at school, but ended up teaching maths at high school level, all years, inclusive of the A-level maths! 😂

  • @Dexobite
    @Dexobite 2 года назад +1

    Just me marking my time for this video. Purely for myself.
    - 29:15
    - 41:46

    • @Greenemath
      @Greenemath  2 года назад

      Awesome, come back soon. 😎

  • @Kunfucious577
    @Kunfucious577 Год назад +1

    I realized I forgot algebra and started watching this. It’s all coming back to me now.

    • @Greenemath
      @Greenemath  Год назад

      It's just like working out, it comes back really quickly!

  • @Greenemath
    @Greenemath  3 месяца назад

    Hey everyone, I had to pause the comments due to an individual spam posting from thousands of fake accounts. This person has been doing this for years and it was affecting my videos as they were all tagged with "fake engagement" and "invalid traffic". After talking with RUclips this is unfortunately the only way to stop this person. I tried to make a post about it and the person started posting fake comments on the post. I'm really sorry I can't answer questions anymore and wish you all good luck with your studies!

  • @enqquerthahhgut1842
    @enqquerthahhgut1842 Год назад +1

    For you first timers if your here stay here don’t give up teaching yourself is the best way of gaining knowledge take notes too

    • @Greenemath
      @Greenemath  Год назад

      Great advice, I would say working problems in the video and practicing is also really important. Good luck!

  • @taylorsmook465
    @taylorsmook465 2 года назад +1

    just finished algebra with a 100% in the class about 2 months ago, don’t remember a single thing about it!!!

    • @Greenemath
      @Greenemath  2 года назад

      It happens, the brain just moves on to the next thing. If you start working problems again, it will all come rushing back.

  • @gips_123
    @gips_123 Год назад +2

    I aced algebra 1 in highschool, but then in 10th grade quarantine hit, I forgot everything, I didn't even attend 55 classes of geometry (still somehow passed the final exam lol) then once I hit algebra 2, foundations of college algebra, my mind hit a stump. It seems like I forgot the concepts of algebra which caused my to struggle later.

    • @Greenemath
      @Greenemath  Год назад

      Math is definitely cumulative. You can pick it back up very quickly by just working problems. Good luck!

  • @Inequalito
    @Inequalito Год назад +1

    This video is VERY helpful, I'm learning things very easily with my notebook and you, thank you!

  • @Talaiyahs.quietlife
    @Talaiyahs.quietlife Год назад +1

    I’m nervous abt going into Algebra 1 and I’m hoping this helps me not worry sm abt it

    • @Greenemath
      @Greenemath  Год назад

      I wouldn't be, everyone starts somewhere. Good luck!

  • @awesomeguy6928
    @awesomeguy6928 Год назад +1

    I’m very good at math but lack the proper motivation and discipline to properly apply myself but I have decided to go on RUclips and re learn algebra 1-calc 1 as a way to get my brain back in gear

  • @natesamadhi33
    @natesamadhi33 2 года назад +1

    Put on 1.75x speed & this is seriously the greatest algebra 1 video ever made.

    • @Greenemath
      @Greenemath  2 года назад

      Awesome, thanks for the nice comment.

  • @idhantsood1105
    @idhantsood1105 2 года назад +2

    Tysm for this, I am going to 7th grade and I am really interested in physics but for even starting with classical mechanics i need a strong base in calculus, so algerba 1 and the other courses you have made will really help me 5 hours in tysm.

    • @Greenemath
      @Greenemath  2 года назад

      You are welcome, good luck with class.

  • @davidgandy_alt2970
    @davidgandy_alt2970 2 года назад +1

    Thank you so much! You explained this so well and the time and effort you put into this is 100% shown! This video helped and is continuing to help me! Keep up the great work!

  • @RicardoMartinez-mw2so
    @RicardoMartinez-mw2so 2 года назад +1

    such an amazing video!!! wow. truly impressive; the amount of work and dedication that it took to make this. congrats man!! earned a new sub

  • @-.Username.-
    @-.Username.- 2 года назад +2

    Online school messed up my learning so I didn't really learn algebra 1 much, But because of this I think I can enter algebra 2 actually being able to understand😭

    • @Greenemath
      @Greenemath  2 года назад

      Awesome, make sure to practice.

  • @Bhaacraft
    @Bhaacraft Год назад +2

    nice this helped alot in my math carear good work must have taken a while to edit.

  • @FatigueZ
    @FatigueZ Год назад +1

    So I just wrote this down to kind of simplify it for my self and remember. If I have a negative exponent, than flip the base to the denominator and make the exponent positive. And vice versa for a negative exponent in the denominator, flip the base to the numerator and make the exponent positive. Same rule both ways. I think I'm catching on!

    • @Greenemath
      @Greenemath  Год назад

      Another way to think about it: If you drag something across the fraction bar, change the sign of the exponent.

  • @slashedblade
    @slashedblade 2 года назад +2

    these are the type of people that actually makes learning alot more better ppl like math antics greenmath and many more

    • @Greenemath
      @Greenemath  2 года назад +1

      Awesome, thanks for the nice comment.

    • @slashedblade
      @slashedblade 2 года назад

      @@Greenemath no problem brother :)

  • @BigBlue-pg8sy
    @BigBlue-pg8sy Год назад +2

    thanks for posting this
    I made it into algebra 1 next year and i am really scared

    • @Greenemath
      @Greenemath  Год назад +1

      You shouldn't be scared at all. Just go in order and do lots of practice and you'll do just fine!

  • @AMANRAJYADAV
    @AMANRAJYADAV 2 года назад +1

    This is Pure Gold. ♥️

    • @Greenemath
      @Greenemath  2 года назад

      Thanks, I appreciate the nice comment.

  • @tanvinekkadapu3163
    @tanvinekkadapu3163 2 года назад +1

    I love this video, thanks for making it available!😊

  • @RoyalRoseee
    @RoyalRoseee Год назад +1

    I so appreciate your videos!!!❤❤❤

  • @jenierossescandor4765
    @jenierossescandor4765 Год назад +1

    wow, this is amazing
    Thank you so much for the help

  • @rafus431
    @rafus431 Год назад +1

    You KNOW it's serious when RUclips puts four colons in your timer
    All jokes aside, thank you so much for over a days worth of free math lessons

    • @Greenemath
      @Greenemath  Год назад

      You are very welcome, good luck!

  • @bigprogramming579
    @bigprogramming579 2 года назад +1

    Yayy after so many hours finally done with factoring, but i dont know why factoring quadratic equation was the the best part for me in factoring, probably because i know the things before so it made it easy, like i had already learnt factoring so it made it easy.

    • @Greenemath
      @Greenemath  2 года назад

      Great job! Factoring is just something you get better at with lots of practice!

  • @himynameissea
    @himynameissea 2 года назад +2

    #11 4:00:59

  • @matteoSGP
    @matteoSGP 2 года назад +1

    26:33:55 root(4a^2) = 2|a| not 2a

    • @Greenemath
      @Greenemath  2 года назад +2

      When the quadratic formula is derived in a textbook, they will normally state that a > 0, which leads to 2|a| = 2a. Then at the bottom, you will get a little note saying that you get the same solutions if a < 0. The math is a bit more tedious to prove with a < 0. To put it in the simplest terms possible, the plus or minus in front of the square root is going to account for both signs there. So it won't matter if there is a sign change in the denominator from negative to positive (due to absolute value), because the plus or minus gives you both. Remember that you are working with a fraction, so pos/pos = pos, neg/pos = neg, and pos/neg = neg. You can also think about this with a problem. You can always change any quadratic such as -8x^2+10x+3 = 0 into 8x^2 - 10x - 3 = 0 by multiplying both sides by -1. Hopefully this helps you or anyone else reading understand why that step is normally omitted in an entry-level algebra class.

  • @strugglingstudent27
    @strugglingstudent27 2 года назад +1

    ty for this!! im taking alg in 8th grade and want to be prepared

    • @Greenemath
      @Greenemath  2 года назад +1

      Awesome, glad to hear that!

  • @Clipszone000
    @Clipszone000 Год назад +1

    You are doing a great job Sir... ❤

    • @Greenemath
      @Greenemath  Год назад

      Awesome, thanks for the kind words and good luck!

  • @TheManjusu
    @TheManjusu 2 года назад +1

    You are a true teacher. Wow💕

  • @jonathanaryee3505
    @jonathanaryee3505 Год назад +1

    God richly bless him for such support

    • @Greenemath
      @Greenemath  Год назад

      Thanks for the nice comment.

  • @erzas556
    @erzas556 Год назад +1

    This is a gem

    • @Greenemath
      @Greenemath  Год назад +1

      Thanks for the nice comment!

  • @sirnoxy2534
    @sirnoxy2534 2 года назад +1

    This video really helps, Thank you so much💜

  • @silvermine2033
    @silvermine2033 2 года назад +1

    Thank you for this! 🙏🏻

  • @bigprogramming579
    @bigprogramming579 2 года назад +2

    13:44:37, sir 4x is 4x raised to 1 so we can write it as 4x raised to 1 / 8x raised to 2, 4/8 is 1/2 and x raised to 1 / x raised to 2 is x raised to -1 or 1/x and when we multiply 1/x with 1/2 it gives 1/2x so is that explanation correct?

    • @Greenemath
      @Greenemath  2 года назад +1

      Let me make this easier for you. You are just simplifying a rational expression or basically a fraction, keep it simple. Split this up into three parts.
      (-4x)/(-8x^2)
      1) The sign part: The negatives will cancel and give you a positive.
      2) The number part: 4/8 is 1/2
      3) The variable part x/x^2 is 1/x
      Put this together:
      (-4x)/(-8x^2) = (1)/(2x)
      Try to keep things as simple as possible. If you are simplifying a rational expression such as this, then there is a sign, a number, and a variable. Think about each separately and as simply as possible and you will be good to go.

    • @bigprogramming579
      @bigprogramming579 2 года назад +2

      @@Greenemath Thankyou so much sir.

    • @Greenemath
      @Greenemath  2 года назад

      @Big Programming you are very welcome!

  • @intoleranttexan5687
    @intoleranttexan5687 2 года назад +1

    I love math teachers who can actually teach math!

    • @Greenemath
      @Greenemath  2 года назад

      Glad you are finding the video helpful!

  • @bigprogramming579
    @bigprogramming579 2 года назад +1

    1:00:29:14 we can also solve it by multiplying it with square of 5 right?

    • @Greenemath
      @Greenemath  2 года назад

      Your time maker is off, but is this where we have (8)/(6 - sqrt(5))? You are saying solve it, but the idea here is to rationalize the denominator or make the denominator into a rational number (clear the radical). So because this is a two term denominator, then we want to multiply the numerator and denominator by the conjugate (6 + sqrt(5)).

    • @bigprogramming579
      @bigprogramming579 2 года назад +1

      @@Greenemath So we can only use the conjugate method when there are 2 terms or alteast it is more easier.

    • @Greenemath
      @Greenemath  2 года назад

      @Big Programming You need it when you have two or more terms and there is a square root in there. If there's 3 terms it gets really complicated but the idea is the same.

  • @zygardezygote6204
    @zygardezygote6204 2 года назад +1

    Although math is difficult, it can solve a lot of problems in our life that's why Math is my most favourite subject beside science..

    • @Greenemath
      @Greenemath  2 года назад

      Awesome, I like it also.

  • @Jan-fw7qz
    @Jan-fw7qz 2 года назад +1

    I hope this will get more views on the future

  • @TheBeckyOrtiz
    @TheBeckyOrtiz Год назад +1

    Bro this really helped keep makin these videos

  • @ShubhamSingh-og8sb
    @ShubhamSingh-og8sb 2 года назад +1

    Thank you sir it's gem for me ❤

    • @Greenemath
      @Greenemath  2 года назад

      Awesome, Glad to hear that!

  • @kythrathesuntamer9715
    @kythrathesuntamer9715 2 года назад +1

    I remember the unit price and I pay attention to it these days when I go shopping, Have a tendency to ignore the overall price and zero in on the unit price because usually when grocery shopping nothing is so expensive overall as to be completely unaffordable, so it's more important to get the lowest possible unti price. We also do the same thing on MPH in our vehicle. How much Gas has been wasted in this country by all the truck drivers and SUV owners who don't actually have a large family or a lot of stuff to lug around.

    • @Greenemath
      @Greenemath  2 года назад +1

      In some cases, you may get a cheaper unit price, such as at Costco, but maybe you are just one person and can't possibly use the product before it expires. I have 2 gigantic jars of mayonnaise that I'm never going to use in time, because Costco put it on sale so I had to buy it. 😑

  • @Hoshinang
    @Hoshinang Год назад +1

    My class is kinda the "loud class" and my teacher has to keep holding back lessons. So i thank you for replacing my non existent math teacher.

    • @Greenemath
      @Greenemath  Год назад

      I'm glad the tutorials are helpful, keep up the great work!

  • @adeladel.
    @adeladel. 2 года назад +1

    THX 🍀
    GREAT, excellent job 👏👍🌟🔥

  • @rickwilson1900
    @rickwilson1900 Год назад +1

    Thank you for the videos ❤

  • @1smilingcutie
    @1smilingcutie 2 года назад +1

    You know i thought i would hate this but it’s something about his voice that makes me
    Iisten

    • @Greenemath
      @Greenemath  2 года назад

      Awesome, glad you are learning.

  • @oliviaa4796
    @oliviaa4796 2 года назад +1

    Leave off for future self -
    3:50

  • @khamperyrahong551
    @khamperyrahong551 Год назад +1

    Thanks for the video this helped so much

  • @deebee8170
    @deebee8170 2 года назад +1

    Great break down!

  • @yolandasession8158
    @yolandasession8158 2 года назад +1

    Thank you for this!

  • @ItzParisHeaven
    @ItzParisHeaven Год назад +2

    17:22 just a time stamp for me

  • @amisha9749
    @amisha9749 2 года назад +1

    Thank you so much sir!Youre amazing !!

  • @teefoff5368
    @teefoff5368 2 года назад +1

    i learned this is 2 days or 3 thank you

    • @Greenemath
      @Greenemath  2 года назад +1

      Awesome, glad to hear that, good luck with your studies.

  • @Abdo_im
    @Abdo_im Год назад +1

    Thanks for the hard work👋

  • @nastynate3411
    @nastynate3411 Год назад +1

    I’m writing everything down & transferring it to my note cards & I’m studying at work .

    • @Greenemath
      @Greenemath  Год назад

      You can use the written lessons on GreeneMath if you want some notes:
      greenemath.com/AlgebraI.html
      Your time is best spent working as many problems as you possibly can. Good luck with your study of Algebra!

  • @youngdkout
    @youngdkout 2 года назад +1

    Good job by upload the information very useful

  • @DeezNuts-bt4uk
    @DeezNuts-bt4uk 2 года назад +1

    Haven’t finished the course but thanks for the video

  • @TassiaJohnson-m6n
    @TassiaJohnson-m6n Год назад +2

    Tysm, this helps me so much

  • @tyra.3783
    @tyra.3783 2 года назад +2

    This video is amazing! I'm really struggling in algebra 1 right now and I think this video is just the help I need but can someone please tell me what time to go to to find tutorial on function notation.!

    • @Greenemath
      @Greenemath  2 года назад

      ruclips.net/video/AuixBGkLjfo/видео.html

  • @nouserbri
    @nouserbri 2 года назад +1

    Imma save this for high school since I start in September

    • @Greenemath
      @Greenemath  2 года назад

      Awesome, enjoy the rest of your summer.

  • @Jonathantto
    @Jonathantto 2 года назад +1

    Thx so much for this video ❤❤❤

  • @yigitdemir4683
    @yigitdemir4683 2 года назад +1

    Thank you for your hardwork.

  • @JP-nj2sl
    @JP-nj2sl Год назад +1

    Very clear explanation

    • @Greenemath
      @Greenemath  Год назад +1

      Thanks, I appreciate the nice comment.

  • @onethree123d
    @onethree123d Год назад +1

    Starting this tomorrow! :D

  • @jimnycricket3490
    @jimnycricket3490 2 года назад +1

    Watching this to prepare for algebra 2, geometry made me forget everything

    • @Greenemath
      @Greenemath  2 года назад +1

      Awesome, good luck with Algebra 2.

  • @unjujon9223
    @unjujon9223 Год назад +1

    This is super helpful for review.

  • @rapha2028
    @rapha2028 2 года назад +1

    this man will save my high school life

    • @Greenemath
      @Greenemath  2 года назад

      Perfect, hope you do well.

  • @ianharvey933
    @ianharvey933 2 года назад +1

    Thank you for your effort appreciate it

  • @bigprogramming579
    @bigprogramming579 2 года назад +2

    Hi sir I am sorry for asking the same question again but after seeing lesson 20 as you said that we are gonna learn about functions properly in algebra 2, that again created the question in my mind that will it be fine to skip algebra 2 for college algebra.

    • @Greenemath
      @Greenemath  2 года назад

      Yes, I wrote the courses such that you can either start with algebra 1 and then do college algebra or start with algebra 2 and then do pre-calculus.

    • @bigprogramming579
      @bigprogramming579 2 года назад +1

      @@Greenemath thankyou for replying so fast.

  • @Piikup
    @Piikup Год назад +1

    Bro I clicked this video for the time dam... Dedication that's cold bro.

  • @krotronmastize7272
    @krotronmastize7272 2 года назад +1

    Most wonderful video!

  • @allaboutjayda7002
    @allaboutjayda7002 2 года назад

    I remember doing this in high school !!!!! With my teacher ms. Mathis.

    • @Greenemath
      @Greenemath  2 года назад

      Great, welcome to the course.

  • @ride2moon
    @ride2moon Год назад +1

    Simply awesome Sir

    • @Greenemath
      @Greenemath  Год назад

      I'm glad you like the video, good luck with your studies!

  • @bigprogramming579
    @bigprogramming579 2 года назад +1

    Only 6 hours left of the course yayy!!

  • @stardreamix786
    @stardreamix786 Год назад +1

    Amazing! Thank u so much :)

  • @bigprogramming579
    @bigprogramming579 2 года назад +1

    1:00:34:10 I think sir there you forgot to put v3 when multiplying with the conjugate.

    • @Greenemath
      @Greenemath  2 года назад

      No, there isn't a mistake. You had the 2 * sqrt(v^3), which simplified to 2v * sqrt(v). Go back a few minutes in the video and you will see me simplify.

    • @bigprogramming579
      @bigprogramming579 2 года назад +1

      @@Greenemath Oh ok sir, so we are pulling out the v and as it is a square root we are pulling it 2 times and simplifying it.

    • @Greenemath
      @Greenemath  2 года назад

      @Big Programming sqrt(v^3) = sqrt(v^2) * sqrt(v) = v * sqrt(v). In other words v^2 is a perfect square that you are taking the square root of.

  • @Angelk_wigs
    @Angelk_wigs Год назад +1

    My test not until June I have all the Time in the world🙏

  • @thegiftedpotato7582
    @thegiftedpotato7582 2 года назад +1

    keep up the great work!! thanks a lot :D

  • @Village591
    @Village591 Год назад +1

    Thank you, thank you, thank you!

  • @Nxbulah_
    @Nxbulah_ Год назад +1

    I think algebra is easy in my opinion but one unit. The unit is supposed to be really easy but i found it really hard it was lessons 3-6 on the video and it really helped me refresh my knowledge like i can do quadratics but not that lmao

    • @Greenemath
      @Greenemath  Год назад

      Everything just comes down to practice, good luck!

  • @itsyaboykirby
    @itsyaboykirby Год назад +1

    not this video teaching me more math in 1 hour then my teacher the whole school year 💀💀💀

  • @mlyaaa1534
    @mlyaaa1534 Год назад +1

    I'm sorry if I wrote something stupid, I just don't know English and I watch the video without subtitles, but why didn't you shorten -9 and 3 at 2:06:40?

    • @Greenemath
      @Greenemath  Год назад

      If you keep watching, you see it gets simplified, we had more stuff involved in the problem.