Khan Academy on a Stick
Algebraic expressions
The core of idea in algebra is using letters to represent relationships between numbers without specifying what those numbers are! We use letters or variables to represent the parts of the expression that may take on different values or is an unknown that we can solve for.
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What is a variable?
Our focus here is understanding that a variable is just a symbol that can represent different values in an expression. We got this. Just watch.
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Why aren't we using the multiplication sign?
Great question. In algebra, we do indeed avoid using the multiplication sign. We'll explain it for you here.
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Expressions with two variables
Basics of expression with two variables
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Example: Evaluating expressions with 2 variables
Evaluating Expressions with Two Variables
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Evaluating an expression in a word problem
In this example of evaluating expressions, we're dusting off some geometry. On top of that, it's a word problem. We're seeing how different concepts in math are layered on top of each to create more interesting and complex problems to solve.
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Writing simple algebraic expressions
Can you write the algebraic expressions that represent what these statements are saying? Sure you can! We'll help you.
Variables and expressions
Wait, why are we using letters in math? How can an 'x' represent a number? What number is it? I must figure this out!!! Yes, you must. This tutorial is great if you're just beginning to delve into the world of algebraic variables and expressions.
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Combining like terms
In simple addition we learned to add all the numbers together to get a sum. In algebra, numbers are sometimes attached to variables and we need to make sure that the variables are alike before we add the numbers.
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Combining like terms explained
Another good explanation (minus Chuck Norris) on the how we combine like terms in algebra. This will totally make sense.
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Combining like terms example 2
We're going to simplify this expression together putting to use our new knowledge of how to combine like terms. Ok? Let's do it!
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Combining like terms and the distributive property
We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this.
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Applying the distributive property
In this example we are asked to expand an expression using the distributive property. Practice this one with us.
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Factoring algebraic expressions
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Equivalent forms of expressions
We're looking to find the expressions that are equivalent to a given expression that can be simplified. Give it a try with us.
Manipulating expressions
Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things!
Algebraic expression adding fractions
Algebraic expressions with fraction divisionAlgebraic expressions with fractions
Algebraic expression can be composed of pretty much any operation, including fractions. Here we'll explore how to manipulate fractions algebraically. In some ways this is just a review of adding, subtracting, multiplying and dividing fractions, but now we are doing it with variables!