# Algebra

Topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you've never seen algebra before. Once you get your feet wet, you may want to try some of the videos in the "Algebra I Worked Examples" playlist.

• ##### Simple Equations
Salman Khan

Introduction to basic algebraic equations of the form Ax=B.

• ##### Equations Part 2
Salman Khan

Slightly more complicated equations.

• ##### Equations Part 3
Salman Khan

Equations with the variable on both sides.

• ##### Linear Equations
Salman Khan

Solving linear equations with variable expressions in the denominators of fractions.

• ##### Graphing Lines Part 1
Salman Khan

Graphing linear equations.

• ##### Slope and Y-intercept Intuition
Salman Khan

Getting a feel for slope and y-intercept.

• ##### Slope Part 1
Salman Khan

Figuring out the slope of a line.

• ##### Slope Part 2
Salman Khan

Second part of determining the slope of a line.

• ##### Slope Part 3
Salman Khan

Part 3 of slope.

• ##### Averages
Salman Khan

Introduction to averages and algebra problems involving averages.

Salman Khan

• ##### Taking Percentages
Salman Khan

Taking a percentage of a number.

• ##### Growing by a Percentage
Salman Khan

Growing a quantity by a percentage.

• ##### Another Percent Word Problem
Salman Khan

Finding the full price when you know the discount price.

• ##### More Percent Problems
Salman Khan

Slightly harder percent problems.

• ##### Systems of Equations
Salman Khan

Systems of equations.

• ##### Ratio Problem with Basic Algebra
Salman Khan

A slightly more involved ratio problem with algebra.

Salman Khan

More advance ratio problem with algebra.

• ##### Alternate Solution to Ratio Problem
Salman Khan

An alternate solution to the advanced ratio problem in the last video.

• ##### Introduction to Ratios
Salman Khan

Basic ratio problems.

Salman Khan

• ##### Age Word Problems Part 1
Salman Khan

Age word problems.

• ##### Age Word Problems Part 2
Salman Khan

Second set of age word problems.

• ##### Age Word Problems Part 3
Salman Khan

Part 3 of the presentation on age word problems.

• ##### Level 1 Multiplying Expressions
Salman Khan

(Ax+By)(Ax+By).

Salman Khan

• ##### i and Imaginary Numbers
Salman Khan

Introduction to i. Raising i to arbitrary exponents.

• ##### Complex Numbers Part 1
Salman Khan

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

• ##### Complex Numbers Part 2
Salman Khan

Dividing complex numbers. Complex conjugates.

• ##### Introduction to the Quadratic Equation
Salman Khan

Introduction to using the quadratic equation to solve 2nd degree polynomials.

• ##### Quadratic Equation Part 2
Salman Khan

2 more examples of solving equations using the quadratic equation.

• ##### Completing the Square
Salman Khan

Solving a quadratic by completing the square.

Salman Khan

Deriving the quadratic formula by completing the square.

Salman Khan

• ##### Functions Part 1
Salman Khan

An introduction to functions.

• ##### Functions Part 2
Salman Khan

More examples of solving function problems.

• ##### Functions Part 3
Salman Khan

Even more examples of function exercises. Introduction of a graph as definition of a function.

• ##### Functions Part 4
Salman Khan

An example of a functions problem submitted by a youtube viewer.

• ##### Domain of a Function
Salman Khan

Figuring out the domain of a function.

• ##### Proof: log a + log b = log ab
Salman Khan

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

• ##### Proof: A(log B) = log (B^A), log A - log B = log (A/B)
Salman Khan

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

• ##### Proof: log_a (B) = (log_x (B))/(log_x (A))
Salman Khan

Proof of the logarithm property.

• ##### Algebraic Long Division
Salman Khan

Dividing one polynomial into another.

• ##### Introduction to Conic Sections
Salman Khan

What are conic sections and why are they called "conic sections"?

• ##### Conic Sections: Circles
Salman Khan

Introduction to the Circle.

• ##### Conic Sections: Ellipses
Salman Khan

Introduction to the ellipse.

• ##### Conic Sections: Hyperbolas Part 1
Salman Khan

Introduction to the hyperbola.

• ##### Conic Sections: Hyperbolas Part 2
Salman Khan

Continuation of the intro to hyperbolas.

• ##### Conic Sections: Hyperbolas Part 3
Salman Khan

Part 3 of the intro to hyperbolas.

• ##### Identifying Conics Part 1
Salman Khan

Part 1 of identifying and graphic conic sections.

• ##### Identifying Conics Part 2
Salman Khan

Part 2 of identifying and graphing conic sections.

• ##### Identifying Conics Part 3
Salman Khan

Let's identify (and graph) a couple of more conics!

• ##### Foci of an Ellipse
Salman Khan

Calculating the foci (or focuses) of an Ellipse.

• ##### Foci of a Hyperbola
Salman Khan

Introduction to the foci (focuses) of a hyperbola.

• ##### Hyperbola Foci
Salman Khan

Proof of the hyperbola foci formula.

• ##### Partial Fraction Expansion Part 1
Salman Khan

Introduction to partial fraction expansion.

• ##### Partial Fraction Expansion Part 2
Salman Khan

A more complex problem.

• ##### Partial Fraction Expansion Part 3
Salman Khan

Dealing with repeated factors.

• ##### Parabola Focus and Directrix Part 1
Salman Khan

Parabola as the locus of all points equidistant from a point and a line.

• ##### Parabola Focus and Directrix Part 2
Salman Khan

Finding the focus and directrix of a parabola.

• ##### Two Passing Bicycles Word Problem
Salman Khan

Algebra word problem involving two bicycles passing each other.

• ##### Passed Bike Word Problem
Salman Khan

Fun algebra word problem involving a train passing a bike.

• ##### Passing Trains
Salman Khan

Trains passing at different rates.

• ##### Overtaking Word Problem
Salman Khan

3 people overtaking each other at different rates.

• ##### Early Train Word Problem
Salman Khan

Fun word problem that is almost a brain teaser.

• ##### Officer on Horseback
Salman Khan

Not quite a brain teaser but fun nonetheless!

• ##### Rational Inequalities Part 1
Salman Khan

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

• ##### Rational Inequalities Part 2
Salman Khan

Slightly harder rational inequality problem.

• ##### Interesting Polynomial
Salman Khan

Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept.

• ##### Geometric Series Sum to Figure Out Mortgage Payments
Salman Khan

Figuring out the formula for fixed mortgage payments using the sum of a geometric series.