Khan Academy on a Stick
Linear equations
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Why we do the same thing to both sides: simple equations
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Thinking about how to solve for an unknown mystery mass
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Representing a relationship with a simple equation
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Why we can represent the unknown mass problem as a simple equation
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One-Step Equation Intuition
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Why we solve one-step equations the way we do.
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Adding and subtracting the same thing from both sides
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Two worked examples of solving simple equations
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Intuition why we divide both sides
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Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable
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Why we do the same thing to both sides: two-step equations
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Why we do the same thing to both sides: multi-step equations
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Why we do the same thing to both sides basic systems
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The why of algebra
Algebra seems mysterious to me. I really don't "get" what an equation represents. Why do we do the same thing to both sides? This tutorial is a conceptual journey through the basics of algebra. It is made for someone just beginning their algebra adventure. But even folks who feel pretty good that they know how to manipulate equations might pick up a new intuition or two.
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Super Yoga Plans- Basic Variables and Equations
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Beginning to evaluate which yoga plan is better for me
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Super Yoga Plans- Solving One-Step Equations
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Solving one-step equations to see how many sessions can be attended
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Super Yoga Plans- Plotting Points
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Visualizing the relationship between sessions attended and total cost
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Super Yoga Plans- Solving Systems by Substitution
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Continuing our Yoga plan debate by determining where the lines representing the two plans intersect
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Super Yoga Plans- Solving Systems by Elimination
Another way to solve for the number of sessions at which both plans cost the same
Super Yoga plans
This tutorial is a survey of the major themes in basic algebra in five videos! From basic equations to graphing to systems, it has it all. Great for someone looking for a gentle, but broad understanding of the use of algebra. Also great for anyone unsure of which gym plan they should pick!
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Simple Equations of the form Ax=B
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Introduction to basic algebraic equations of the form Ax=B
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Example solving x/3 =14
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Solving One-Step Equations 2
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Example solving x+5=54
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Solving One-Step Equations
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Examples of one-step equations like Ax=B and x+A = B
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One Step Equations
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Solving Ax+B = C
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slightly more complicated equations
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Two-Step Equations
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Two-Step Equations
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Example: Dimensions of a garden
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Application problems with equation in one variable
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Example: Two-step equation with x/4 term
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Solving Equations 1
Equations for beginners
Like the "Why of algebra" and "Super Yoga plans" tutorials, we'll introduce you to the most fundamental ideas of what equations mean and how to solve them. We'll then do a bunch of examples to make sure you're comfortable with things like 3x – 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar. And, by the way, in any of the "example" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better!
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Variables on both sides
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Equations with the variable on both sides.
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Example 1: Variables on both sides
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Multi-step equations 1
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Example 2: Variables on both sides
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Solving Equations 2
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Equation Special Cases
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Equation Special Cases
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Basic linear equation word problem
Constructing and solving a basic equation based on a word problem.
- Number of solutions to linear equations
- Number of solutions to linear equations ex 3
More fancy equations for beginners
You've been through "Equation examples for beginners" and are feeling good. Well, this tutorial continues that journey by addressing equations that are just a bit more fancy. By the end of this tutorial, you really will have some of the core algebraic tools in your toolkit!
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Another Percent Word Problem
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Finding the full price when you know the discount price
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Percent word problems
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Percent word problems 1 example 2)
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Solving Percent Problems 2
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Solving Percent Problems 2
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Solving Percent Problems 3
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Solving Percent Problems 3
Percent word problems
I paid $5.00 for some tanning lotion (ok, I've never really bought tanning lotion) after a 35% discount. How can we find the full price? You know how to take a percentage. In this tutorial, we use our newfound powers to solve equations to tackle fascinating percentage problems.
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Rearrange formulas to isolate specific variables
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Rearrange formulas to isolate specific variables
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Solving for a Variable
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Solving for a Variable
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Solving for a Variable 2
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Solving for a Variable 2
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Example: Solving for a variable
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Example of solving for a variable
Solving for a variable
You feel comfortable solving for an unknown. But life is all about stepping outside of your comfort zone--it's the only way you can grow! This tutorial takes solving equations to another level by making things a little more abstract. You will now solve for a variable, but it will be in terms of other variables. Don't worry, we think you'll find it quite therapeutic once you get the hang of it.
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Converting Repeating Decimals to Fractions 1
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Examples of how to convert basic repeating decimals to fractions
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Converting Repeating Decimals to Fractions 2
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Converting more interesting repeating decimals to fractions
Converting repeating decimals to fractions
You know that converting a fraction into a decimal can sometimes result in a repeating decimal. For example: 2/3 = 0.666666..., and 1/7 = 0.142857142857... But how do you convert a repeating decimal into a fraction? As we'll see in this tutorial, a little bit of algebra magic can do the trick!
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Ex 1 Age word problem
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Imran is 18. Diya is 2. How many years will it take for Imran to be 3 times as old as Diya?
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Ex 2 Age word problem
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In 40 years, Imran will be 11 times as old as he is right now. How old is he right now?
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Ex 3 Age word problem
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William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now?
Age word problems
In 72 years, Sal will be 3 times as old as he is today (although he might not be... um... capable of doing much). How old is Sal today? These classic questions have plagued philosophers through the ages. Actually, they haven't. But they have plagued algebra students! Even though few people ask questions like this in the real-world, these are strangely enjoyable problems.
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Absolute Value Equations
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Absolute Value Equations
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Absolute Value Equations Example 1
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Absolute Value Equations
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Absolute Value Equation Example 2
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Example of solving an absolute value equation
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Absolute Value Equations
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Absolute Value Equations
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Absolute Value Equations 1
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Absolute Value Equations 1
- Absolute value equation example
- Absolute value equation with no solution
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Absolute Value Inequalities
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Absolute Value Inequalities
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Absolute value inequalities Example 1
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Absolute value inequalities, graph solution on number line
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Absolute Inequalities 2
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Absolute Inequalities 2
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Absolute value inequalities example 3
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Absolute value inequalities 3
Absolute value equations
You are absolutely tired of not knowing how to deal with equations that have absolute values in them. Well, this tutorial might help.
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Ex 2 Multi-step equation
Turning a non-linear equation into a linear one.
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Solving Equations with the Distributive Property
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Solving Equations with the Distributive Property
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Solving equations with the distributive property 2
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Solving equations with the distributive property 2
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Ex 2: Distributive property to simplify
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Multi-step equations 2
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Ex 1: Distributive property to simplify
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Multi-Step Equations
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Ex 3: Distributive property to simplify
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Equations with Variables on Both Sides
Simplifying complicated equations
You feel good about your rapidly developing equation-solving ability. Now you're ready to fully flex your brain. In this tutorial, we'll explore equations that don't look so simple at first, but that, with a bit of skill, we can turn into equations that don't cause any stress! Have fun!
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Evaluating expressions where individual variable values are unknown
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Working through a few examples where we need to evaluate an expression, but we don't know the individual variable values
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Evaluating expressions with unknown variables 2
A few more examples where we are asked to evaluate an expression with multiple uknown variables
Evaluating expressions with unknown variables
When solving equations, there is a natural hunger to figure out what an unknown is equal to. This is especially the case if we want to evaluate an expression that the unknown is part of. This tutorial exposes us to a class of solvable problems that challenges this hunger and forces us to be the thinking human beings that we are! In case you're curious, these types of problems are known to show up on standardized exams to see if you are really a thinking human (as opposed to a robot possum).
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Mixture problems 2
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Mixture problems 2
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Basic Rate Problem
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Basic Rate Problem
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Early Train Word Problem
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Fun word problem that is almost a brain teaser.
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Patterns in Sequences 1
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Patterns in Sequences 1
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Patterns in Sequences 2
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Patterns in Sequences 2
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Equations of Sequence Patterns
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Equations of Sequence Patterns
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Finding the 100th Term in a Sequence
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Finding the 100th Term in a Sequence
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Challenge example: Sum of integers
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Sum of Consecutive Odd Integers
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Integer sums
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Adding sums of consecutive integers
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2003 AIME II Problem 1
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2003 AIME II Problem 1
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Bunch of examples
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Mixture problems 3
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Mixture problems 3
More equation practice
This tutorial is for you if you already have the basics of solving equations and are looking to put your newfound powers to work in more examples.
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Order of Operations examples
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Evaluating expressions using order of operations
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Algebra: Linear Equations 1
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equations of the form AX=B
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Algebra: Linear Equations 2
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solving equations of the form AX+B=C
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Algebra: Linear Equations 3
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Linear equations with multiple variable and constant terms
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Algebra: Linear Equations 4
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Solving linear equations with variable expressions in the denominators of fractions
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Averages
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Introduction to averages and algebra problems involving averages.
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Taking percentages
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Taking a percentage of a number.
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Growing by a percentage
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Growing a quantity by a percentage
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More percent problems
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Slightly harder percent problems
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Age word problems 1
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Age word problems
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Age word problems 2
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Second set of age word problems
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Age word problems 3
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Part 3 of the presentation on age word problems
Old school equations with Sal
Some of Sal's oldest (and roughest) videos on algebra. Great tutorial if you want to see what Khan Academy was like around 2006. You might also like it if you feel like Sal has lost his magic now that he doesn't use the cheapest possible equipment to make the videos.