Series: Combined Beginning Algebra and Geometry Series
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How To Add Like Terms 
Learn To Multiply in Algebra 
What Are Integers Anyway? 
Adding Positive and Negative Numbers 
Multiplying Positive And Negative Numbers 
Multiplying Positive and Negative Numbers Cont'd 
Solving Linear Equations 
Solving Two Step Linear Equations 
How To Solve Linear Inequalities 
Meaning Of Exponents 
Laws Of Exponents 
Parallel Lines And Angles 
Point, Line, Plane 
Postulates and Theorems 
IfThen Statements 
Introduction To Angles 
More About Angles 
Kinds Of Triangles 
180 Degrees In A Triangle 
How To Prove Vertical Angles Are Congruent 
Properties Used In Proofs 
Commutative, Associative, Distributive, Identity 
3rd Angle Of A Triangle Proof 
Algebraic Examples In Geometry 
Midpoint 
Bisectors and Vertical Angles 
Using Algebra To Find Angle Measures 
Bisectors and Vertical Angles 
Parallel And Perpendicular Lines  Proofs 
Examples With Parallel Lines and Triangles
About this Series
 Lessons: 30
 Total Time: 7h 33m
 Use: Watch Online & Download
 Access Period: Unlimited
 Created At: 01/20/2012
 Last Updated At: 04/02/2015
Here is your help for Beginning Algebra and Geometry. Get started with this very basic math instruction. It's yours to keep and to share with your friends and other students. Use it and share it as much as you'd like. Remember the best way to learn math is to teach it to someone else. So, now, you learn it and then you teach it. You may be surprised what a good learning strategy that is. You will be the one helping others with their math!
This series includes the Beginning Algebra Series AND the Basic Geometry Series. Get them while you can and have them when you need them.
These math help lessons are especially for people who really, really struggle with math. I go slowly, use repetition and very basic examples to show you how to work the problems. If you are a math whiz, this is NOT for you.
Every Algebra video has a video guide sheet and a worksheet for you to practice. The answers are for you to check your work. Never move to the next concept until you understand the one you are working on. If you do, you will be building on a weak foundation and it WILL come back to haunt you.
It is my wish that having these videos in your virtual library will give you that extra math help we all need sometimes. You may stream them from this site as often as needed or you may download them. They are yours to keep. And please share freely with others.
Enjoy using them. Learning Algebra and Geometry is fun only when you understand what is going on! This will help you.
About this Author
 Sandra Wilkes
 30 lessons
 Joined:
07/06/2010
Welcome! I'm so glad you are here! Math help is here for you when you need it.
I believe that using these Algebra and Geometry videos will help you understand the basics of Algebra and Geometry.
Some students try very hard and still struggle to pass math. They start off strong but things quickly begin to fall apart. That happens as soon as the student becomes lost. Teenagers who find themselves in this position often let it "get away from them" before they seek help. Because Math is always a class of stepping stones, it rarely gets better without help.
I urge you to seek help from your child's teacher first. Always. These Algebra and Geometry videos can help too. You can watch...
Lessons Included
 How To Add Like Terms
 Learn To Multiply in Algebra
 What Are Integers Anyway?
 Adding Positive and Negative Numbers
 Multiplying Positive And Negative Numbers
 Multiplying Positive and Negative Numbers Cont'd
 Solving Linear Equations
 Solving Two Step Linear Equations
 How To Solve Linear Inequalities
 Meaning Of Exponents
 Laws Of Exponents
 Parallel Lines And Angles
 Point, Line, Plane
 Postulates and Theorems
 IfThen Statements
 Introduction To Angles
 More About Angles
 Kinds Of Triangles
 180 Degrees In A Triangle
 How To Prove Vertical Angles Are Congruent
 Properties Used In Proofs
 Commutative, Associative, Distributive, Identity
 3rd Angle Of A Triangle Proof
 Algebraic Examples In Geometry
 Midpoint
 Bisectors and Vertical Angles
 Using Algebra To Find Angle Measures
 Bisectors and Vertical Angles
 Parallel And Perpendicular Lines  Proofs
 Examples With Parallel Lines and Triangles
Below are the descriptions for each of the lessons included in the series:

How To Add Like Terms
Remember back in elementary school when math made sense? This video helps you feel that way about math again. Starting with "adding like terms", you can build a strong foundation so you can understand math from now on!
Learning to "add like terms" is one of the first things you learn in Algebra. This algebra video lesson explains addition in a way that anyone can understand.
When you need Math help, it is best to start with something you already know. Since it's easy to understand addition in Arithmetic, this video starts there and shows you how much Algebra is like Arithmetic.
I repeat things a lot because I know that helps. You need to practice a lot because that helps too.
Print out the Guide and Practice along with Answers for you to check your work. If you've never done Algebra before, this is a good place to start! It is failproof.

Learn To Multiply in Algebra
Just like in Arithmetic, you have to Add, Subtract, Multiply, and Divide in Algebra. It's not really harder, it's just different.
This video shows you how to multiply. It shows you the signs, the symbols, and the terminology. It doesn't confuse things with negatives. That comes later.
Print the Guide to work as you watch the video.
Then print the Practice for....you guessed it...more practice. I challenge you to "get better" at Algebra by practicing, practicing, practicing. Okay? Give it a try. You'll be glad you did. 
What Are Integers Anyway?
This video will show you exactly what integers are!
Arithmetic uses only positive numbers and zero. Algebra uses negative numbers too! This is a big deal! Since Algebra uses "integers" all the time you really need to know everything about them.
The number line is a picture of the real numbers. You will see the difference in counting numbers, whole numbers, and integers. The number line is the basis of all rules involving integers and is essential to add, subtract, multiply, and divide with positive and negative numbers.
If you've studied Algebra before you know you must know your sign rules. I will explain them to you with a number line. Once that makes sense, then the rules are nice shortcuts to know.
Remember it takes a lot of practice and that is where you come in. Work along with me as you watch the video and continue to practice until you are an expert yourself!
Print the Practice and Answers and try my FailProof approach. Repeat, Repeat, Repeat until you can teach it to someone else.

Adding Positive and Negative Numbers
Note: You can buy just this lesson or the entire series.
I'm just going to tell you the truth. You must be able to work with negative numbers or you will never get good at Algebra. On this video I show you how to combine positive and negative numbers. First I explain it the long way so you can add integers even if you don't "know your sign rules". However, you will get very tired of having to do everything the looooong way. That's why there are rules, or shortcuts.
You'll love the rules because they will save you so much time! But first you must understand where they come from and then... learn them 'by heart'. You will be a much better Algebra student once you know the sign rules. Until you know them really well, you will struggle.
Watch my video and I will explain how they work and why. You will understand. I make it easy. LOL.
This is where it all starts.Once again, this video lesson is great math help whether you are brand new to Algebra or just reviewing the subject to pass a test or go back to school. This video is the most important one to help you move into more advanced math topics.
Work along with me. Then download the sheets and practice, practice, practice. Watch the video as many times as you need to.

Multiplying Positive And Negative Numbers
This video is about the "M" word. I hate telling students to memorize something but this time....that's the truth. You have to memorize these three rules.
If you want to be successful in Algebra you must learn to add, subtract, multiply, and divide with positive and negative numbers. This video shows you how these rules work and how to use them.
As you watch this video, make sure each step is clear to you. If it is not, pause the lesson, rewind, and watch again. Download the PDF and work right along with me.
In the end you will know these rules "as well as you know your name". That is what it takes to move forward with a good foundation.
The best math help you can find anywhere allows you to work at your own pace, encourages repetition, and talks to you 1:1. That is what this video offers you.

Multiplying Positive and Negative Numbers Cont'd
Once you learn the signs laws for multiplying by heart, you can learn to handle more complex problems. This video is a more in depth look at multiplication. Whether you are multiplying fractions and any number of terms, it is easy to apply the rules, once you know them!
It takes practice with these problems until they become second nature. You will learn a few shortcuts which you can use, not only to save time, but to check your problems and catch sign errors. Since one sign error can ruin an entire problem, you have to "get" this or forever fail Algebra. That's the cold hard truth.
Work the problems along with me and keep practicing. That is the way to success.

Solving Linear Equations
Once you have learned the basic of the language of Algebra you will quickly start solving equations. The first equations you will solve are linear equations. This video breaks down the process of solving linear equations into easytofollow steps.
The equations on this video are all one step equations. The examples show you how to use the inverse operation to get the variable by itself. The goal is always to get the variable on a side by itself.
As you move into any advanced math class you will always need to solve equations. This video is paced slowly to provide the first important steps for the foundation you will need. Stay tuned for more videos on solving equations.
Work along with me and use all the downloadable practice.

Solving Two Step Linear Equations
When you first get started in Algebra, one of the first things you learn to do is solve equations. This video solves equations that require two steps. It shows you how to know which step to do first and how to check to see if your answer is correct.
Equations in Algebra get to be much longer and 'more complicated' than these. This is where you start so that you will have the foundation to move ahead. If you are absent from school when your teacher explains this process, this video will help you 'catch up' quickly. Whew! That's a good feeling. Being lost and getting behind is no fun!

How To Solve Linear Inequalities
Now that you have learned to solve linear equations, let's take a look at inequalities. There are very few differences in solving linear inequalities and solving linear equations so this will be easy for you to understand with a little practice.
Several examples are included on this video to show you stepbystep how to proceed. They are not intended to be difficult but to show you how they differ from equations. Watch me work the problems first, then go back and work them by yourself. Compare your answers to mine.
Even though linear inequalities can get much longer and more complex than these examples, they are worked the same way. The better you become at solving linear equations, the better you will be with inequalities.
Equations are, at all times, stating that two quantities are equal. Inequalities are stating that, given two quantities, they may be unequal...and if they are, the inequality sign will tell you which one is larger.
If Inequality statements are brand new to you, they are first introduced on the Number Line video.

Meaning Of Exponents
Exponents are everywhere in Algebra. You just can't get very far without understanding what they are and how they work. When you watch this video you will learn exactly that.
Exponents are wonderful shortcuts and they speak a language of their own. Always begin at the beginning, at the most basic level. You will have a good foundation that way and you will build your confidence in mathematics.
Download the Guide and along with me as you watch the video. Pat yourself on the back every time you are correct. I know that will be most of the time. :) If it isn't, ask me to slow down or repeat something for you by stopping the video and replaying what you need to hear and see again.
The download the Practice Sheet.
Master these little, tiny numbers and they will never defeat you.

Laws Of Exponents
Once you really understand what exponents are, it's time to learn how to use them. Whenever you notice the same thing occuring over and over again in math, you can expect to find a law.
Exponent Laws are derived from patterns that show up every time you use the meaning of exponents. When you multiply, patterns show up. When you divide, patterns show up. When you raise a power to another power, patterns show up.
This video will explain each one of these patterns and show you exactly how they work. Then you will learn the Laws of Exponents. It is information you really need to practice until it becomes natural.
Work the "Guide" as you watch the video. Then work the Practice page.

Parallel Lines And Angles
Parallel lines are everywhere you look in Geometry. They are found in squares, rectangles, and parallelograms. The information you gain through parallel lines is mostly about angles so this video will focus on angles formed by parallels.
Students like this section because there are patterns which are easy to see. Once you see the patterns and learn the names of the angles you can work almost any problem with parallel lines.
Just remember. Whenever you see lines that are parallel, it is all about the angles formed by the transversal. Look for them!

Point, Line, Plane
Well, this is where you start in Geometry. You're going to learn a lot more about a point, a line, and a plane than you can imagine. Actually it is impossible to "define" these terms so we will just describe them and make sure you know all about them.
If I can find a "Pointalism" picture from one of my students, I will post it here...just for fun.
Seriously, all geometric figures are made up of points. We connect points to form shapes of all kinds. So without points, lines, and planes Geometry would not exist.
Stick with me and you'll be off to a good start!

Postulates and Theorems
Even the words sound intimidating! What are Postulates and Theorems anyway? They've been around for a long time and contain all the "rules" of Geometry. This video explains the difference between Postulates and Theorems in a way that is not as strange as they sound.
Once you know your Postulates, Theorems, and definitions, there is nothing in Geometry that you cannot do. Isn't that a good feeling?

IfThen Statements
Geometry is just full of IfThen Statements! Usually they are called Conditional Statements. We all use ifthen statements everyday as we go about our day. This video will help you see what conditional statements are actually saying to you...in Geometry.
Converse statements, Inverse statements, and Contrapositive statements all start with a Conditional statement. What ARE all those kinds of statements? This video will tell you. That way, when you see it on your SAT, you will know exactly what it is talking about. Gotta speak the language to have any shot at success.
We will see what happens to a statement when we swith the ifthen parts, or if we make them both negative.
You probably know "hypothesis" and "conclusion" from Science. That will help too.

Introduction To Angles
You hear people talking about angles all the time but what, exactly, are they? I know it sounds like a simple questions, and it is really, but looking closely at the definition will start you off with a firm footing in Geometry. Math help isn't really very helpful if it skips too much material and starts you off in the dark!
This video will define "angle" for you and show you exactly what an angle is and what makes an angle. Then it will talk with you about different kinds of angles so when you come across these terms, you will know what they are talking about.
For example, if I go on and on about adjacent angles, and you have no idea what that means...it really doesn't matter what else I say because you will be lost. That's what happens in many classrooms. Always ask when there is something you don't understand.
However, there is only so much time in a "regular" classoom so it's impossible for your teacher to stay on the basics for very long. Me? I can stay on them as long as I want to. And you can replay me as many times as it takes.

More About Angles
When you listen to your teacher in Geometry,she, or he, will mention angles every day about a hundred times! You see, then, how important they are. If you don't want to get lost, stick with this video until you really understand all of it.
The Angle Addition Postulates is explained on this math help video. There are a lot of times you need to add angles together. It might seem kind of obvious but it is necessary to learn how to add them, how to name them, and what allows you to add them. That's where the Angle Addition Postulate comes in. Your book might call it something else similar.
Some pairs of angles are called complementary. Some pairs are called supplementary. And some pairs are called Linear Pairs. Whew! That's a lot of different pairs of angles. Not hard though. You'll see.
Watch the video whenever you need to review these terms and again right before the test.

Kinds Of Triangles
Triangles are one of the most familiar shapes in the world. As simple as a triangle is, there are several different kinds of triangles and they have different properties. We will also look at the interior, the exterior, as well as the triangle itself.
In this video you will learn all about each type of triangle. You will learn about their angles and their sides and the relationships between sides and angles. Make sure you commit all definitions to memory so when you need to write a proof involving a triangle, you will have all the tools you need.
Enjoy this lesson. It's very straightforward and not difficult at all. Just get all the details and terminology! Success is in the details!

180 Degrees In A Triangle
In this video you will learn two very important theorems about triangles. Not only will you learn the theorems but you will see me prove them. As I walk you through the proofs you will become more comfortable with writing your own proofs in the future. Right now just focus on learning these two concepts.
Ever wondered why there were 180 degrees in every triangle? No matter the size, type, or location of a triangle, the angles always add up to 180 degrees. This video will show you why. This is a theorem you must, must, must learn. Or else....as they say!
Another theorem on this video is the Exterior Angle Theorem. I am proving this theorem for you by writing a formal proof. Watch me, listen carefully, follow the steps. It is intended only to help you get more comfortable with proofs.
The more comfortable you get, the less you will freak out when you have to write a proof of your own. It's coming you know. Better to get all these basics out of the way first!
Work hard!

How To Prove Vertical Angles Are Congruent
Vertical angles! We love them! They are so easy to use and provide a real comfort level when beginning Geometry. This proof shows you "why" vertical angles are congruent. It proves that they are 'always' congruent. If you need to see how and why vertical angles are congruent, watch this.
Once this theorem is proven, it can be used anytime in the future when you have vertical angles. First of all make sure you recognize vertical angles so you will know when you have them. Then be on the look out for them!
Vertical angles are formed whenever two lines cross (intersect). You will find them hidden in many drawings that contain more than two lines. That is why you want to look for them. Think of it as a puzzle and keep your eyes open for vertical angles.
After this video you will understand why they are always congruent and you will understand how to work with them. Whenever you get a problem with vertical angles, go ahead and mark them congruent as soon as you sketch the drawing. Don't draw too small. The more you can actually see, the better and quicker solutions will begin to come together.
Enjoy working with vertical angles. They usually lead you to more information to help you solve a problem.

Properties Used In Proofs
Many students have trouble writing proofs by themselves. One essential step when writing Geometry proofs is knowing the definitions, properties, and theorems. This video explains the most used properties.
Whether in Geometry or Algebra, for example, the Addition Property of Equality is used over and over.
Very simply put, you use this property whenever you add the same value to both sides of an equaition.In this video you will see examples of this property plus the Subtraction Property of Equality, Multiplication Property of Equality, and Division Property of Equality.
Other properties that occur frequently are the Reflexive Property, Symmetric Property, and Transitive Property.
Watch the video. Refer back to it as often as you need to until these properties are as easy as pie and as clear as day!

Commutative, Associative, Distributive, Identity
This video explains the Commutative, Associative, and Distributive Properties. They are not very fun or interesting,to tell you the truth, but you need to know them. When I first learned them I thought they were pointless. I didn't understand why in the world they were in every math course I took. You may be like that too. Eventually, as you take more and more math classes, you will see that they never go away...and you'll begin to understand why you need these properties. This video lesson is more like eating your veggies than eating dessert! Just telling you the truth.

3rd Angle Of A Triangle Proof
It's fairly obvious that if two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. However, how to write the proof may not be so obvious. For that matter, how to write ANY proof may not be so obvious!
That is probably the understatement of the world! Most students find proofs to be very difficult. This video "illustrates" a proof but doesn't really teach you how to write a proof. That will need a video all it's own! Coming soon.
For now, the most important part of this video is to get the concept of the 3rd angle...and, thank goodness, that IS very easy to get.
Learn this theorem. Do not worry if you cannot write the proof as I did. Try to follow me though. At this stage, being able to just follow my proof is enough. The concept is important to know. The proof...just follow me for now.

Algebraic Examples In Geometry
Sometimes you just need extra practice in solving geometry problems using algebra. Most students like this part of Geometry more than proofs and definitons. Do you?
You have four problems to solve on this video. Work them along with me. One is vertical angles. One uses angle bisector. A third problem uses linear pairs and the last problem uses supplementary angles.
First of all, solve for x. Then find the measure of the angle. It is so easy to double check these and know for sure if you are right. I think you'll like these.
As I say in the videa "Math is not a spectator sport." You can't just watch and just listen if you want to really learn and remember what you learn. You have to do the problems too. Work them with me, then work them by yourself.

Midpoint
Well, now that we've gotten started in Geometry we'll just forge ahead and talk more about points, lines, and planes. What happens when two lines intersect? What does intersect mean? What is a midpoint of a line segment? If two line segments are congruent, what does that mean about the length of each?
This might be more detail that you really want to know but, just stay with me. In the long run you will be so glad you are comfortable with all these details about distance, length, and congruence.
Geometry is all about logical thinking. It is about moving from one fact logically to another fact and being able to back them up. You can back up your geometry facts with definitions, Postulates, and Theorems...but you can't make it up and you can't go by "how things look".
If you agree not to just "go by how things look", that means that we understand everything must have a valid reason.

Bisectors and Vertical Angles
As you study Geometry you will become best friends with bisectors and vertical angles! This video makes sure you know what they are and how to recognize them. I will first define them for you and then show you many examples. Once you see what they are and how they work, geometry math problems will be so much easier for you to do. Some will seem "flat out" easy!
Algebra examples are included in this geometry video lesson. They are great practice. You will surely have these type problems in your class at school. Watch me work them, then work them on your own until you totally "get it".
This video introduces you to vertical angles. It makes sure you know what vertical angles are. It teaches you that vertical angles are formed whenever two lines cross.
Bisectors of segments and angles are found throughout Geometry. This lesson helps you know what both kinds of bisectors are....for sure, before you start using them in theorems and postulates.
If you need a good foundational video to begin your study of geometry, this is one that is essential.

Using Algebra To Find Angle Measures
Did you like Algebra? I hope so, because, many times in Geometry you are asked to solve for x. So if you thought you could get away from Algebra, oops, you were wrong! If you liked Algebra you are probably cheering to get back where you are comfortable.
You must also know your geometry definitions to know how to set up your algebra equation. Solving the equation is almost always easy...once it is set up. The hard part comes when you are trying to set it up! The more definitions (in Geometry) that you really understand, the easier it is to set up your equation. Watch me and you'll see what I mean.
In this video I will work problems with angle bisectors that form angles with equal measures. Also we'll work with linear pairs and supplementary angles.

Bisectors and Vertical Angles
Before you can start working problems with bisectors and vertical angles you have to know what they are. My teaching methods help you learn by seeing and hearing the information. I use a lot of repetition and drawings to help you learn.
This video introduces you to vertical angles. It makes sure you know what vertical angles are. It teaches you that vertical angles are formed when two lines cross.
Bisectors of segments and angles are found throughout Geometry. This lesson helps you know what a bisector is....for sure, before you start using them in theorems and postulates.
If you need a good foundational video to begin your study of geometry, this one is essential.

Parallel And Perpendicular Lines  Proofs
This video proves two theorems.
1. If two lines are perpendicular to the same line, then they are parallel.
2. If two lines are parallel to the same line, then they are parallel.Follow along with me as I prove these two concepts. We certainly don't have time to prove every theorem but these two are proven here. They are not necessarily the most important but they may help you learn how proofs work.
After you work through them with me, turn off the screen and try it by yourself. Copy the 'given' and the drawing before you turn off the screen.
Even if the proof itself is confusing, and even if you can't prove it by yourself, it's okay for now. The important thing right now is to be able to understand how each step flows logically from the previous step.
"How To Write A Proof" will come later. :)

Examples With Parallel Lines and Triangles
Parallel lines form many angles when cut by another line called a transversal. You can imagine how many angles are formed when you have more than one transversal! All those angles have names, thank goodness, so we can keep them straight! Such pairs are the alternate interior angles, corresponding angles, and same side interior angles. And what about the converses of these postulates?
In this video you will learn all these angles and more. You will see how they show up in triangle problems. Once you learn all the names and how they work, you'll be looking everywhere for parallel lines because you'll find them easy problems to work.
Geometry will, sooner or later, start fitting together like a big jigsaw puzzle. It is not very enjoyable until that happens. As long as it makes no sense it will be a dreaded subject. But once you begin to see how it all fits together, you will begin to like it...a lot!
Watch, work the problems, watch again as many times as you need. Master this material and you'll be on your way to smoother sailing!
Supplementary Files:
 Once you purchase this series you will have access to these files:
 Guide_and_Practice_Combining_Like_Terms.pdf
 ANSWERS_Combining_Like_Terms.pdf
 Multiplying_In_Algebra_Guide.pdf
 Practice_Multiplying_In_Algebra.pdf
 ANSWER__How_To_Multiply_In_Algebra.pdf
 Practice_For_Number_Line_and_Integers.pdf
 ANSWERS_Number_Line_and_Integers.pdf
 Guide_Positive_and_Negative_Numbers.pdf
 Practice_for_Adding_Postive_and_Negative_Numbers.pdf
 ANSWERS_Positive_and_Negative_Numbers.pdf
 Guide_Multiplication_Sign_Rules.pdf
 Practice_Multiplication_Sign_Rules.pdf
 ANSWERS_Mult_Signs_Rules.pdf
 Guide_Mult_With_Sign_Numbers_Cont.pdf
 Practice_Mult_With_Sign_Numbers_cont.pdf
 ANSWERS_Mult_of_Sign_Numbers_cont.pdf
 Practice_for_Solving_One_Step_Linear_Equation.pdf
 Guide_Solving_Linear_Equations.pdf
 ANSWERS_One_Step_Equations.pdf
 Guide_and_Practice_2Step_Equation.pdf
 ANSWERS_Two_Step_Linear_Equations.pdf
 Guide_Inequalities.pdf
 Practice_Solving_Inequalities.pdf
 ANSWERS_Solving_Inequalities.pdf
 Practice_Meaning_of_Exp.pdf
 Meaning_Of_Exponents_Guide.pdf
 ANSWERS_Meaning_of_Exp.pdf
 Laws_Of_Exponents_Guide.pdf
 Practice_Laws_Of_Exponents.pdf
 ANSWERS_Exp_Practice.pdf
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I seriously can't do proofs. But this is good and I am getting better at it. I wish you lived next door to me!
I really get this now. Never thought of it this way before.