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Course

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.

Home > Mathematics > Algebra Lectures:
• Simple Equations

00:11:06Salman Khan

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

• Equations Part 2

00:08:41Salman Khan

Slightly more complicated equations.

• Equations Part 3

00:08:53Salman Khan

Equations with the variable on both sides.

• Linear Equations

00:07:38Salman Khan

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

• Graphing Lines Part 1

00:09:49Salman Khan

Graphing linear equations.

• Slope and Y-intercept Intuition

00:08:35Salman Khan

Getting a feel for slope and y-intercept.

• Slope Part 1

00:08:27Salman Khan

Figuring out the slope of a line.

• Slope Part 2

00:09:46Salman Khan

Second part of determining the slope of a line.

• Slope Part 3

00:06:21Salman Khan

Part 3 of slope.

• Averages

00:08:36Salman Khan

Introduction to averages and algebra problems involving averages.

• Integer Sums

00:09:55Salman Khan

• Taking Percentages

00:09:54Salman Khan

Taking a percentage of a number.

• Growing by a Percentage

00:09:42Salman Khan

Growing a quantity by a percentage.

• Another Percent Word Problem

00:06:18Salman Khan

Finding the full price when you know the discount price.

• More Percent Problems

00:09:05Salman Khan

Slightly harder percent problems.

• Systems of Equations

00:09:57Salman Khan

Systems of equations.

• Ratio Problem with Basic Algebra

00:05:12Salman Khan

A slightly more involved ratio problem with algebra.

00:09:58Salman Khan

More advance ratio problem with algebra.

• Alternate Solution to Ratio Problem

00:07:02Salman Khan

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

• Introduction to Ratios

00:07:27Salman Khan

Basic ratio problems.

00:09:57Salman Khan

• Age Word Problems Part 1

00:07:12Salman Khan

Age word problems.

• Age Word Problems Part 2

00:09:56Salman Khan

Second set of age word problems.

• Age Word Problems Part 3

00:04:08Salman Khan

Part 3 of the presentation on age word problems.

• Level 1 Multiplying Expressions

00:07:58Salman Khan

(Ax+By)(Ax+By).

• Solving a Quadratic by Factoring

00:09:12Salman Khan

• i and Imaginary Numbers

00:09:17Salman Khan

Introduction to i. Raising i to arbitrary exponents.

• Complex Numbers Part 1

00:10:10Salman Khan

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

• Complex Numbers Part 2

00:08:58Salman Khan

Dividing complex numbers. Complex conjugates.

• Introduction to the Quadratic Equation

00:09:15Salman Khan

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

00:09:14Salman Khan

2 more examples of solving equations using the quadratic equation.

• Completing the Square

00:13:45Salman Khan

Solving a quadratic by completing the square.

00:07:34Salman Khan

Deriving the quadratic formula by completing the square.

00:09:48Salman Khan

• Functions Part 1

00:09:32Salman Khan

An introduction to functions.

• Functions Part 2

00:09:53Salman Khan

More examples of solving function problems.

• Functions Part 3

00:09:12Salman Khan

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

• Functions Part 4

00:06:07Salman Khan

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

• Domain of a Function

00:09:59Salman Khan

Figuring out the domain of a function.

• Proof: log a + log b = log ab

00:07:08Salman 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)

00:07:57Salman 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))

00:07:25Salman Khan

Proof of the logarithm property.

• Algebraic Long Division

00:10:21Salman Khan

Dividing one polynomial into another.

• Introduction to Conic Sections

00:10:58Salman Khan

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

• Conic Sections: Circles

00:09:04Salman Khan

Introduction to the Circle.

• Conic Sections: Ellipses

00:14:14Salman Khan

Introduction to the ellipse.

• Conic Sections: Hyperbolas Part 1

00:13:34Salman Khan

Introduction to the hyperbola.

• Conic Sections: Hyperbolas Part 2

00:07:30Salman Khan

Continuation of the intro to hyperbolas.

• Conic Sections: Hyperbolas Part 3

00:10:29Salman Khan

Part 3 of the intro to hyperbolas.

• Identifying Conics Part 1

00:09:11Salman Khan

Part 1 of identifying and graphic conic sections.

• Identifying Conics Part 2

00:11:28Salman Khan

Part 2 of identifying and graphing conic sections.

• Identifying Conics Part 3

00:11:34Salman Khan

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

• Foci of an Ellipse

00:13:49Salman Khan

Calculating the foci (or focuses) of an Ellipse.

• Foci of a Hyperbola

00:15:24Salman Khan

Introduction to the foci (focuses) of a hyperbola.

• Hyperbola Foci

00:14:50Salman Khan

Proof of the hyperbola foci formula.

• Partial Fraction Expansion Part 1

00:11:28Salman Khan

Introduction to partial fraction expansion.

• Partial Fraction Expansion Part 2

00:13:02Salman Khan

A more complex problem.

• Partial Fraction Expansion Part 3

00:10:35Salman Khan

Dealing with repeated factors.

• Parabola Focus and Directrix Part 1

00:14:31Salman Khan

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

• Parabola Focus and Directrix Part 2

00:18:28Salman Khan

Finding the focus and directrix of a parabola.

• Two Passing Bicycles Word Problem

00:05:39Salman Khan

Algebra word problem involving two bicycles passing each other.

• Passed Bike Word Problem

00:05:54Salman Khan

Fun algebra word problem involving a train passing a bike.

• Passing Trains

00:09:07Salman Khan

Trains passing at different rates.

• Overtaking Word Problem

00:09:52Salman Khan

3 people overtaking each other at different rates.

• Early Train Word Problem

00:07:07Salman Khan

Fun word problem that is almost a brain teaser.

• Officer on Horseback

00:08:54Salman Khan

Not quite a brain teaser but fun nonetheless!

• Rational Inequalities Part 1

00:11:49Salman Khan

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

• Rational Inequalities Part 2

00:13:15Salman Khan

Slightly harder rational inequality problem.

• Interesting Polynomial

00:16:15Salman Khan

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

• Geometric Series Sum to Figure Out Mortgage Payments

00:17:36Salman Khan

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