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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

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Lessons

Why the abstraction of mathematics is so fundamental
660 views

Where did the word "Algebra" and its underlying ideas come from?
889 views

The general idea behind the word 'abstract'
873 views

Bridging algebra and geometry. What makes linear equations so linear.
845 views

Learn what variables, expressions, and equations really are. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/a ...
865 views

Let's ease into this, shall we? Here's an introduction to basic algebraic equations of the form ax=b. Remember that you can check to see if you have the right answer by substituting it for the variabl ...
866 views

This example demonstrates how we solve an equation expressed such: ax + b = c. It's a little more complicated than previous examples, but you can do it! Practice this lesson yourself on KhanAcademy.o ...
852 views

Sal solves the equation 2x + 3 = 5x - 2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/a ...
845 views

Solving linear equations with variable expressions in the denominators of fractions Watch the next lesson: https://www.khanacademy.org/math/algebra ...
760 views

Solving linear inequalities.
748 views

Graphing linear equations More free lessons at: http://www.khanacademy.org/video?v=2UrcU
735 views

Getting a feel for slope and y-intercept More free lessons at: http://www.khanacademy.org/video?v=Nhn-a
777 views

Figuring out the slope of a line
860 views

Second part of determining the slope of a line
804 views

Part 3 of slope
860 views

Determining the equation of a line More free lessons at: http://www.khanacademy.org/video?v=gvwKv
799 views

Using the "Graph of a line" module to understand how a line's graph changes when its slope or y-intercept is changed. More free lessons at: http://www.khanacademy.org/video?v=8sz1I
841 views

Introduction to averages and algebra problems involving averages.
729 views

Adding sums of consecutive integers
763 views

Taking a percentage of a number.
740 views

In this example we grow a whole number by a percentage of itself. Growing by percentage is a common skill often used when figuring how much is owed or earned with interest.
851 views

We're putting a little algebra to work to find the full price when you know the discount price in this percent word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www. ...
896 views

Slightly harder percent problems
808 views

systems of equations More free lessons at: http://www.khanacademy.org/video?v=nok99
772 views

What a ratio is. Simple ratio problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-alg ...
965 views

A slightly more involved ratio problem with algebra More free lessons at: http://www.khanacademy.org/video?v=ITVQr
1,014 views

More advance ratio problem with algebra. More free lessons at: http://www.khanacademy.org/video?v=ItA_h
767 views

An alternate solution to the advanced ratio problem in the last video. More free lessons at: http://www.khanacademy.org/video?v=-xyTz
796 views

Basic ratio problems. (from KhanAcademy.org)
740 views

More advanced ratio problems More free lessons at: http://www.khanacademy.org/video?v=PASSD
872 views

Second set of age word problems
858 views

Part 3 of the presentation on age word problems
685 views

(Ax+By)(Ax+By) More free lessons at: http://www.khanacademy.org/video?v=Sc0e6
763 views

Introduction to i and imaginary numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...
930 views

Calculating i raised to arbitrarily high exponents Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...
778 views

Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.
715 views

Dividing complex numbers. Complex conjugates.
699 views

Introduction to using the quadratic equation to solve 2nd degree polynomial equations
702 views

2 more examples of solving equations using the quadratic equation
844 views

Solving a quadratic by completing the square.
784 views

Deriving the quadratic formula by completing the square.
765 views

How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.
810 views

An introduction to functions. More free lessons at: http://www.khanacademy.org/video?v=VhokQ
879 views

More examples of solving function problems More free lessons at: http://www.khanacademy.org/video?v=XEblO
752 views

Even more examples of function exercises. Introduction of a graph as definition of a function. More free lessons at: http://www.khanacademy.org/video?v=5fcRS
800 views

An example of a functions problem submitted by a youtube viewer More free lessons at: http://www.khanacademy.org/video?v=rbt51
791 views

Figuring out the domain of a function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
835 views

Proof of the logarithm property: log a + log b = log ab
838 views

Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)
864 views

Proof of the logarithm property log_a (B) = (log_x (B))/(log_x (A))
1,031 views

Dividing one polynomial into another
680 views

What are conic sections and why are they called "conic sections"? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
740 views

Introduction to the Circle
821 views

Introduction to the ellipse. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
695 views

Part 3 of the intro to hyperbolas Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
668 views

Calculating the foci (or focuses) of an Ellipse. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
913 views

Introduction to the foci (focuses) of a hyperbola
769 views

Introduction to partial fraction expansion Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...
832 views

A more complex problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...
691 views

Dealing with repeated factors Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...
724 views

Parabola as the locus of all points equidistant from a point and a line More free lessons at: http://www.khanacademy.org/video?v=ZJf9s
811 views

Finding the focus and directrix of a parabola More free lessons at: http://www.khanacademy.org/video?v=1Jm9r
907 views

Algebra word problem involving two bicycles passing each other. More free lessons at: http://www.khanacademy.org/video?v=Nx4Xk
804 views

Fun algebra word problem involving a train passing a bike. More free lessons at: http://www.khanacademy.org/video?v=P03lj
813 views

Trains passing at different rates. More free lessons at: http://www.khanacademy.org/video?v=qLLjD
679 views

3 people overtaking each other at different rates More free lessons at: http://www.khanacademy.org/video?v=LYWUH
945 views

Fun word problem that is almost a brain teaser.
886 views

Not quite a brain teaser but fun nonetheless! More free lessons at: http://www.khanacademy.org/video?v=IPJAi
897 views

Two ways to solve a rational inequality (or an inequality involving a fractional expression)
833 views

Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept More free lessons at: http://www.khanacademy.org/video?v=hypi8
820 views

Figuring out the formula for fixed mortgage payments using the sum of a geometric series Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...
774 views

Introduction to Function Inverses Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
743 views

Function Inverse Example 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
878 views

Function Inverses Example 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
759 views

Function Inverses Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
759 views

Understanding direct and inverse variation Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
840 views

Examples of variables varying directly and inversely Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
792 views

Even and odd functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
829 views

A possible reason why even functions are called "even" and odd functions are called "odd" Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
881 views

Getting comfortable with evaluating newly defined function operators Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...
788 views

Proving an expression for the sum of all positive integers up to and including n by induction
776 views

Another way to prove the expression for the sum of all positive integers up to and including n
814 views

Some examples of writing two ratios and setting them equal to each other to solve proportion word problems Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/ma ...
881 views

Examples of how to convert basic repeating decimals to fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/a ...
871 views

Converting more interesting repeating decimals to fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/a ...
669 views