Algebra

1,506,211

Working...

Algebra

96 videos
128,228 views

143 likes, 0 dislikes

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.

Play all

10:07
1

The Beauty of Algebra

by Khan Academy 980,825 views

Learn more: http://www.khanacademy.org/video?v=kpCJyQ2usJ4
Why the abstraction of mathematics is so fundamental
7:18
2

Origins of Algebra

by Khan Academy 490,159 views

Learn more: http://www.khanacademy.org/video?v=_LDR1_Prveo
Where did the word "Algebra" and its underlying ideas come from
7:00
3

Abstract-ness

by Khan Academy 251,497 views

Learn more: http://www.khanacademy.org/video?v=ZOYRb2sYrL0
The general idea behind the word 'abstract'
11:22
4

Descartes and Cartesian Coordinates

by Khan Academy 365,911 views

Learn more: http://www.khanacademy.org/video?v=N4nrdf0yYfM
Bridging algebra and geometry. What makes linear equations so linear.
6:55
5

Variables Expressions and Equations

by Khan Academy 353,112 views

Learn more: http://www.khanacademy.org/video?v=vDqOoI-4Z6M
Introduction and examples of variables, expressions and equations
11:06
6

Simple Equations

by Khan Academy 1,505,336 views

Learn more: http://www.khanacademy.org/video?v=9Ek61w1LxSc
Introduction to basic algebraic equations of the form Ax=B
8:41
7

Equations 2

by Khan Academy 638,888 views

Learn more: http://www.khanacademy.org/video?v=XoEn1LfVoTo
slightly more complicated equations
8:53
8

Equations 3

by Khan Academy 479,703 views

Learn more: http://www.khanacademy.org/video?v=f15zA0PhSek
Equations with the variable on both sides.
7:38
9

Algebra: Linear Equations 4

by Khan Academy 688,220 views

Learn more: http://www.khanacademy.org/video?v=9IUEk9fn2Vs
Solving linear equations with variable expressions in the denominators of fractions
6:24
10

Algebra: Solving Inequalities

by Khan Academy 428,928 views

Solving linear inequalities.
9:50
11

Algebra: graphing lines 1

by Khan Academy 362,918 views

Learn more: http://www.khanacademy.org/video?v=2UrcUfBizyw
Graphing linear equations
8:35
12

Algebra: Slope and Y-intercept intuition

by Khan Academy 303,054 views

Learn more: http://www.khanacademy.org/video?v=Nhn-anmubYU
Getting a feel for slope and y-intercept
8:27
13

Algebra: Slope

by Khan Academy 369,413 views

Learn more: http://www.khanacademy.org/video?v=hXP1Gv9IMBo
Figuring out the slope of a line
9:46
14

Algebra: Slope 2

by Khan Academy 199,009 views

Learn more: http://www.khanacademy.org/video?v=Kk9IDameJXk
Second part of determining the slope of a line
6:21
15

Algebra: Slope 3

by Khan Academy 135,984 views

Learn more: http://www.khanacademy.org/video?v=8XffLj2zvf4
Part 3 of slope
6:45
16

Algebra: Equation of a line

by Khan Academy 258,975 views

Learn more: http://www.khanacademy.org/video?v=gvwKv6F69F0
Determining the equation of a line
5:54
17

Slope and Y-intercept Intuition

by Khan Academy 209,070 views

Learn more: http://www.khanacademy.org/video?v=8sz1IPjBRS8
Using the "Graph of a line" module to understand how a line's graph changes when its slope or y-intercept is changed.
8:36
18

Averages

by Khan Academy 209,426 views

Learn more: http://www.khanacademy.org/video?v=9VZsMY15xeU
Introduction to averages and algebra problems involving averages.
9:55
19

Integer sums

by Khan Academy 199,851 views

Learn more: http://www.khanacademy.org/video?v=W254ewkkMck
Adding sums of consecutive integers
9:54
20

Taking percentages

by Khan Academy 324,656 views

Learn more: http://www.khanacademy.org/video?v=_SpE4hQ8D_o
Taking a percentage of a number.
9:42
21

Growing by a percentage

by Khan Academy 196,841 views

Learn more: http://www.khanacademy.org/video?v=X2jVap1YgwI
Growing a quantity by a percentage
6:18
22

Another Percent Word Problem

by Khan Academy 164,696 views

Learn more: http://www.khanacademy.org/video?v=d1oNF88SAgg
Finding the full price when you know the discount price
9:05
23

More percent problems

by Khan Academy 124,871 views

Learn more: http://www.khanacademy.org/video?v=4oeoIOan_h4
Slightly harder percent problems
9:57
24

systems of equations

by Khan Academy 253,842 views

Learn more: http://www.khanacademy.org/video?v=nok99JOhcjo
systems of equations
14:13
25

Introduction to Ratios (new HD version)

by Khan Academy 471,908 views

Learn more: http://www.khanacademy.org/video?v=HpdMJaKaXXc
What a ratio is. Simple ratio problems.
5:12
26

Ratio problem with basic algebra (new HD)

by Khan Academy 129,167 views

Learn more: http://www.khanacademy.org/video?v=ITVQrzDSekU
A slightly more involved ratio problem with algebra
9:58
27

More advanced ratio problem--with Algebra (HD version)

by Khan Academy 77,423 views

Learn more: http://www.khanacademy.org/video?v=ItA_hhRtUuw
More advance ratio problem with algebra.
7:02
28

Alternate Solution to Ratio Problem (HD Version)

by Khan Academy 42,655 views

Learn more: http://www.khanacademy.org/video?v=-xyTz0WZ1W4
An alternate solution to the advanced ratio problem in the last video.
7:27
29

Introduction to Ratios

by Khan Academy 167,193 views

Basic ratio problems. (from KhanAcademy.org)
9:57
30

Advanced ratio problems

by Khan Academy 89,034 views

Learn more: http://www.khanacademy.org/video?v=PASSD2OcU0c
More advanced ratio problems
7:12
31

Age word problems 1

by Khan Academy 224,517 views

Learn more: http://www.khanacademy.org/video?v=bAUT_Pux73w
Age word problems
9:56
32

Age word problems 2

by Khan Academy 107,537 views

Learn more: http://www.khanacademy.org/video?v=pPqPj8CAPvI
Second set of age word problems
4:08
33

Age word problems 3

by Khan Academy 98,934 views

Learn more: http://www.khanacademy.org/video?v=DplUpe3oyWo
Part 3 of the presentation on age word problems
7:58
34

Level 1 multiplying expressions

by Khan Academy 111,137 views

Learn more: http://www.khanacademy.org/video?v=Sc0e6xrRJYY
(Ax+By)(Ax+By)
9:12
35

Solving a quadratic by factoring

by Khan Academy 244,154 views

Learn more: http://www.khanacademy.org/video?v=N30tN9158Kc
factoring quadratics
5:20
36

Introduction to i and Imaginary Numbers

by Khan Academy 177,579 views

Learn more: http://www.khanacademy.org/video?v=ysVcAYo7UPI
Introduction to i and imaginary numbers
6:20
37

Calculating i Raised to Arbitrary Exponents

by Khan Academy 98,359 views

Learn more: http://www.khanacademy.org/video?v=QiwfF83NWNA
Calculating i raised to arbitrarily high exponents
6:44
38

i as the Principal Root of -1 (a little technical)

by Khan Academy 66,876 views

Learn more: http://www.khanacademy.org/video?v=rYG1D5lUE4I
i as the principal square root of -1
10:10
39

Complex Numbers (part 1)

by Khan Academy 421,510 views

Learn more: http://www.khanacademy.org/video?v=kpywdu1afas
Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.
8:58
40

Complex Numbers (part 2)

by Khan Academy 230,498 views

Learn more: http://www.khanacademy.org/video?v=bPqB9a1uk_8
Dividing complex numbers. Complex conjugates.
9:15
41

Introduction to the quadratic equation

by Khan Academy 275,450 views

Learn more: http://www.khanacademy.org/video?v=IWigvJcCAJ0
Introduction to using the quadratic equation to solve 2nd degree polynomials
9:14
42

Quadratic Equation part 2

by Khan Academy 166,577 views

Learn more: http://www.khanacademy.org/video?v=y19jYxzY8Y8
2 more examples of solving equations using the quadratic equation
13:45
43

Completing the square

by Khan Academy 395,808 views

Learn more: http://www.khanacademy.org/video?v=gzm-uhj06q8
Solving a quadratic by completing the square.
7:34
44

Quadratic Formula (proof)

by Khan Academy 133,995 views

Learn more: http://www.khanacademy.org/video?v=mDmRYfma9C0
Deriving the quadratic formula by completing the square.
9:48
45

Quadratic Inequalities

by Khan Academy 139,170 views

Solving quadratic inequalities using factoring
9:51
46

Quadratic Inequalities (Visual Explanation)

by Khan Academy 93,100 views

How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.
9:34
47

Introduction to functions

by Khan Academy 558,560 views

Learn more: http://www.khanacademy.org/video?v=VhokQhjl5t0
An introduction to functions.
9:53
48

Functions Part 2

by Khan Academy 338,796 views

Learn more: http://www.khanacademy.org/video?v=XEblO51pF5I
More examples of solving function problems
9:12
49

Functions (Part III)

by Khan Academy 206,746 views

Learn more: http://www.khanacademy.org/video?v=5fcRSie63Hs
Even more examples of function exercises. Introduction of a graph as definition of a function.
6:07
50

Functions (part 4)

by Khan Academy 163,264 views

Learn more: http://www.khanacademy.org/video?v=rbt51hXmzig
An example of a functions problem submitted by a youtube viewer
9:59
51

Domain of a function

by Khan Academy 387,201 views

Learn more: http://www.khanacademy.org/video?v=U-k5N1WPk4g
Figuring out the domain of a function
7:08
52

Proof: log a + log b = log ab

by Khan Academy 158,558 views

Learn more: http://www.khanacademy.org/video?v=FP2arCfAfBY
Proof of the logarithm property: log a + log b = log ab
7:57
53

Proof: A(log B) = log (B^A), log A - log B = log (A/B)

by Khan Academy 84,075 views

Learn more: http://www.khanacademy.org/video?v=yEAxG_D1HDw
Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)
7:25
54

Proof: log_a (B) = (log_x (B))/(log_x (A))

by Khan Academy 53,829 views

Learn more: http://www.khanacademy.org/video?v=cKOtT4WnZb4
Proof of the logarithm property
log_a (B) = (log_x (B))/(log_x (A))
10:21
55

Algebraic Long Division

by Khan Academy 140,305 views

Learn more: http://www.khanacademy.org/video?v=4u8_AMacu-Y
Dividing one polynomial into another
10:58
56

Introduction to Conic Sections

by Khan Academy 246,164 views

Learn more: http://www.khanacademy.org/video?v=0A7RR0oy2ho
What are conic sections and why are they called "conic sections"?
9:04
57

Conic Sections: Intro to Circles

by Khan Academy 158,741 views

Learn more: http://www.khanacademy.org/video?v=6r1GQCxyMKI
Introduction to the Circle
14:14
58

Conic Sections: Intro to Ellipses

by Khan Academy 167,219 views

Learn more: http://www.khanacademy.org/video?v=lvAYFUIEpFI
Introduction to the ellipse.
13:34
59

Conic Sections: Intro to Hyperbolas

by Khan Academy 149,010 views

Learn more: http://www.khanacademy.org/video?v=pzSyOTkAsY4
Introduction to the hyperbola
7:30
60

Conic Sections: Hyperbolas 2

by Khan Academy 74,289 views

Learn more: http://www.khanacademy.org/video?v=hl58vTCqVIY
Continuation of the intro to hyperbolas
10:29
61

Conic Sections: Hyperbolas 3

by Khan Academy 60,313 views

Learn more: http://www.khanacademy.org/video?v=lGQw-W1PxBE
Part 3 of the intro to hyperbolas
9:11
62

Identifying Conics 1

by Khan Academy 95,160 views

Learn more: http://www.khanacademy.org/video?v=LSJuu4Qm2qQ
Part 1 of identifying and graphic conic sections
11:28
63

Identifying Conics 2

by Khan Academy 51,465 views

Learn more: http://www.khanacademy.org/video?v=cvA4VN1dpuY
Part 2 of identifying and graphing conic sections
11:34
64

Conic Identification 3

by Khan Academy 44,834 views

Learn more: http://www.khanacademy.org/video?v=Dru0RHgfp2g
Let's identify (and graph) a couple of more conics!
13:49
65

Foci of an Ellipse

by Khan Academy 126,130 views

Learn more: http://www.khanacademy.org/video?v=QR2vxfwiHAU
Calculating the foci (or focuses) of an Ellipse.
15:24
66

Foci of a Hyperbola

by Khan Academy 72,379 views

Learn more: http://www.khanacademy.org/video?v=S0Fd2Tg2v7M
Introduction to the foci (focuses) of a hyperbola
14:50
67

Proof: Hyperbola Foci

by Khan Academy 35,785 views

Learn more: http://www.khanacademy.org/video?v=HPRFmu7JsKU
Proof of the hyperbola foci formula
11:28
68

Partial Fraction Expansion 1

by Khan Academy 249,167 views

Learn more: http://www.khanacademy.org/video?v=S-XKGBesRzk
Introduction to partial fraction expansion
13:02
69

Partial Fraction Expansion 2

by Khan Academy 130,287 views

Learn more: http://www.khanacademy.org/video?v=6FrPLJY0rqM
A more complex problem
10:35
70

Partial Fraction Expansion 3

by Khan Academy 96,584 views

Learn more: http://www.khanacademy.org/video?v=A52fEdPn9lg
Dealing with repeated factors
14:31
71

Parabola Focus and Directrix 1

by Khan Academy 210,739 views

Learn more: http://www.khanacademy.org/video?v=ZJf9shWlMz0
Parabola as the locus of all points equidistant from a point and a line
18:28
72

Focus and Directrix of a Parabola 2

by Khan Academy 99,602 views

Learn more: http://www.khanacademy.org/video?v=1Jm9rREA-uA
Finding the focus and directrix of a parabola
5:39
73

Two Passing Bicycles Word Problem

by Khan Academy 53,108 views

Learn more: http://www.khanacademy.org/video?v=Nx4Xk5S4HQA
Algebra word problem involving two bicycles passing each other.
5:54
74

Passed Bike Word Problem

by Khan Academy 30,321 views

Learn more: http://www.khanacademy.org/video?v=P03ljxjy8Nw
Fun algebra word problem involving a train passing a bike.
9:07
75

Passing Trains

by Khan Academy 51,471 views

Learn more: http://www.khanacademy.org/video?v=qLLjD-g_9ms
Trains passing at different rates.
9:52
76

Overtaking Word Problem

by Khan Academy 35,926 views

Learn more: http://www.khanacademy.org/video?v=LYWUHaWwY0c
3 people overtaking each other at different rates
7:07
77

Early Train Word Problem

by Khan Academy 53,453 views

Learn more: http://www.khanacademy.org/video?v=uA3m8vbd2wc
Fun word problem that is almost a brain teaser.
8:54
78

Officer on Horseback

by Khan Academy 46,472 views

Learn more: http://www.khanacademy.org/video?v=IPJAi5zWu9U
Not quite a brain teaser but fun nonetheless!
11:49
79

Rational Inequalities

by Khan Academy 67,172 views

Two ways to solve a rational inequality (or an inequality involving a fractional expression)
13:15
80

Rational Inequalities 2

by Khan Academy 43,669 views

Learn more: http://www.khanacademy.org/video?v=2RnS3fSHVV8
Slightly harder rational inequality problem
16:15
81

Interesting Polynomial Coefficient Problem

by Khan Academy 64,245 views

Learn more: http://www.khanacademy.org/video?v=hypi8QPsFEk
Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept
17:36
82

Geometric series sum to figure out mortgage payments

by Khan Academy 40,759 views

Figuring out the formula for fixed mortgage payments using the sum of a geometric series
9:05
83

Introduction to Function Inverses

by Khan Academy 184,558 views

Learn more: http://www.khanacademy.org/video?v=W84lObmOp8M
Introduction to Function Inverses
6:44
84

Function Inverse Example 1

by Khan Academy 168,994 views

Learn more: http://www.khanacademy.org/video?v=wSiamij_i_k
Function Inverse Example 1
7:12
85

Function Inverses Example 2

by Khan Academy 85,596 views

Learn more: http://www.khanacademy.org/video?v=aeyFb2eVH1c
Function Inverses Example 2
7:35
86

Function Inverses Example 3

by Khan Academy 71,761 views

Learn more: http://www.khanacademy.org/video?v=Bq9cq9FZuNM
Function Inverses Example 3
9:54
87

Direct and Inverse Variation

by Khan Academy 118,413 views

Learn more: http://www.khanacademy.org/video?v=92U67CUy9Gc
Understanding direct and inverse variation
7:05
88

Recognizing Direct and Inverse Variation

by Khan Academy 38,218 views

Learn more: http://www.khanacademy.org/video?v=3_DxJwDTbyQ
Examples of variables varying directly and inversely
12:25
89

Recognizing Odd and Even Functions

by Khan Academy 121,304 views

Learn more: http://www.khanacademy.org/video?v=8VgmBe3ulb8
Even and odd functions
4:08
90

Connection between even and odd numbers and functions

by Khan Academy 33,497 views

Learn more: http://www.khanacademy.org/video?v=jFazrvLodrA
A possible reason why even functions are called "even" and odd functions are called "odd"
6:50
91

New Operator Definitions

by Khan Academy 73,584 views

Learn more: http://www.khanacademy.org/video?v=ND-Bbp_q46s
Getting comfortable with evaluating newly defined function operators
9:23
92

Proof by Induction

by Khan Academy 135,386 views

Learn more: http://www.khanacademy.org/video?v=wblW_M_HVQ8
Proving an expression for the sum of all positive integers up to and including n by induction
3:32
93

Alternate Proof to Induction for Integer Sum

by Khan Academy 21,338 views

Another way to prove the expression for the sum of all positive integers up to and including n
5:51
94

Writing Proportions

by Khan Academy 127,985 views

Learn more: http://www.khanacademy.org/video?v=96ZEmUbnuU8
Setting up proportions to solve a word problem
4:03
95

Coverting Repeating Decimals to Fractions 1

by Khan Academy 153,386 views

Learn more: http://www.khanacademy.org/video?v=FPNhCVZlbJs
Examples of how to convert basic repeating decimals to fractions
9:06
96

Coverting Repeating Decimals to Fractions 2

by Khan Academy 85,543 views

Learn more: http://www.khanacademy.org/video?v=Ihws0d-WLzU
Converting more interesting repeating decimals to fractions