## College Algebra Introduction Review – Basic Overview, Study Guide, Examples & Practice Problems

This college algebra introduction / study guide review video tutorial provides a basic overview of key concepts that are needed to do well in a typical algebra course. High school students taking Algebra 1 and 2 can benefit from this video. It contains plenty of examples and practice problems.

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Algebra Video Playlist:

Here is a list of topics:

1. Properties of Exponents – Multiplication and Division Rules

2. Negative Exponents

3. Adding and Subtracting Polynomial Expressions such as binomials and trinomials

4. Foil Method – Multiplying Two Binomials

5. Solving Linear Equations

6. Solving Absolute Value Equations and Inequalities

7. Graphing Inequalities on a Number Line Using Interval Notation

8. Graphing Linear Equations In Slope Intercept Form and In Standard Form

9. Identifying the Slope and Y-intercept in a linear equation

10. Graphing Absolute Value Equations Using Transformations

11. Graphing Quadratic Functions Using Transformation – Horizontal & Vertical Shift with Reflection over X – axis

12. Solving Quadratic Equations By Factoring

13. Factoring Quadratic Expressions – Difference of Perfect Squares Method

14. Factoring trinomials with a leading coefficient of 1

15. How to factor a trinomial when the leading coefficient is not 1

16. Factoring Polynomials By Grouping

17. Solving Quadratic Equations Using the Quadratic Formula

18. Factoring Quadratic Expressions with the Quadratic Formula

19. Complex Imaginary Numbers

20. Simplifying Radical Expressions With Complex Numbers

21. Composition of Functions

22. Inverse Functions & Graphs

23. Evaluating Functions Using Synthetic Division

24. Solving Systems of Equations Using Elimination and Substitution

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Hehe I disliked cuz school SUCKS

I can’t stand this guy’s voice

I’m in 8th grade and my teacher won’t give me harder stuff so I’m here just to learn 😭😭 BYEE why do I do this on my free time

I’m only 5 mins in and I’m getting so confused. It’s been 12 yrs since I was last in school. I had to drop my college math or whatever it was called. Basically the beginners math in college.

I’ve added a bunch of your math videos so I can attempt to learn.

What all should I be focusing on to be able to tackle this video?

I've done some of this and I'm in grade8, 🤦♀️

First of all, your voice is soo soothing and makes math less stressful. Second you're getting the point across with each advancement by giving us a practice problem and helping us solve it. Love this . Thank you.

Im a type of person need to watch and see the example before i can put answers on my paper😩this is my weakness.there is a lot of questions I want to ask..why do we need to change the – sign..and how come the + need to put away.my God my mind cracking..btw.i dont have mind its safe

when I watched this video I was surprised., I'm in 9th grade in a high school junior Asia and found that these math problems are easy for a high school junior student, because we just solve math by the formulas are available and don't analyze that much, we are only good at solving it because it seems to have done it about 1000 haha. I wish math in my country was as easy as that.

CHECK PLS 23:00

Can they have electromagnetic 38:24

No me puedo dormir nada más que 😧 a 😛🙂🥰🤩🤨🤨🤨🤨

I never thought Mark Wahlberg would be teaching me college algebra but here we are! What a crazy world we live in.

To my surprise, I am good at this. Because I have hated math for the longest time of my life. ❤️

iam 4th

Bruh I'm in college and I plan on taking college algebra cuz I'm really good at mathematical equations lol

too many jutsu's for ma mushy brian🤧

Good luck finals das probably y ur here lol

Very good video, I finished it in 2 hours, I try many other problems applying your methods while watching May God bless you.

Thanks so much all the way from jamaica.

I have watched 1 minute and I think I am going to 100% on my exam

Why tf am i here im only grade 10

‘600*

Really helpful Thank You!

using the quadratic formula to work backwards to find the variables in factoring was big brain.

I am not on college I am younger but I just wanna see how it will be on math

so amazing and 10 mins i got it

I love your voice ❤. Great math videos.

I’m not even in college anymore I just want to learn

37:22 tommorw

17:00

Informative but you going to fast!

thanks you so much 🙂

At 53 why would you want to put things at 0 for that problem but not the others?

Your voice is very calming and it’s straight to the point . Thank you !!! Also just a black background and the equations . Much appreciated !

0:00 – Properties of Exponents – Multiplication and Division Rules

1:23 – Negative Exponents

3:10 – Adding and Subtracting Polynomial Expressions such as binomials and trinomials

5:58 – Foil Method – Multiplying Two Binomials

8:20 – Solving Linear Equations

12:00 – Solving Absolute Value Equations and Inequalities

13:17 – Graphing Inequalities on a Number Line Using Interval Notation

16:54 – Absolute Value Expressions

20:43 – Compound Inequalities

23:26 – Graphing Linear Equations in Slope Intercept Form and In Standard Form

25:54 – Identifying the Slope and Y-intercept in a linear equation

28:35 – Graphing Absolute Value Equations Using Transformations

32:30 – Graphing Quadratic Functions Using Transformation – Horizontal & Vertical Shift with Reflection over X – axis

34:38 – Solving Quadratic Equations by Factoring

37:21 – Factoring Quadratic Expressions – Difference of Perfect Squares Method

38:14 – Factoring trinomials with a leading coefficient of 1

43:39 – Factoring a trinomial when the leading coefficient is not 1

44:41 – Factoring Polynomials by Grouping

46:45 – Solving Quadratic Equations Using the Quadratic Formula

49:16 – Factoring Quadratic Expressions with the Quadratic Formula

55:43 – Complex Imaginary Numbers

56:46 – Simplifying Radical Expressions with Complex Numbers

57:54 – Solving Systems of Equations Using Elimination and Substitution

1:04:17 – Function Basics

1:06:40 – Evaluating Functions Using Synthetic Division

1:07:44 – Composition of Functions

1:11:34 – Inverse Functions & Graphs

1:15:36 – Outro

Good Luck Studying 👌

maths can be so basic when taught by yourself. When taught by others , im wrecking my brain !! Thank you yiu Maths Genious !

All of those were too easy though.

Using this to study for the clep college algebra exam, thanks for making this video!

I feel like NEO learning jujitsu in seconds

It’s so hard math I’m a failure 🙁

I remember struggling a lot with this back in the day, but looking back its easy as pie compared to what I put up with now

I have an exam coming up in the next couple weeks this video has already taught me a lot. You are a genius man thank you

👀wow

is there a site, to place problems/questions, and there is a break down of the "how to's"?

i thought u couldnt add 2x+2x to the power of 2 bc exponents arnt equal

I'm the new Albert Einstein

I would tell you what a totally amazing, out of this word teacher you are, but I'm sure you already know! Thank you 🧡🧡🧡🧡

You r god…..

Me: welp im dropping out and coming here to learn

Teacher: YOU WONT LEARN ANYTHING

Me:i wont learn anything if i stay here

Teacher: your right

The ( or [ should be ) or ] with infinity 15:45