# Algebra

#### Algebra is the method for solving equations and expressing formulas. Created by Khan Academy.Recommended that you have a good foundation in Pre-algebra before taking this course.

20 hours

Intermediate

##### Pick a lesson

1: The Beauty of Algebra
2: Origins of Algebra
3: Abstract-ness
4: Descartes and Cartesian Coordinates
5: Variables Expressions and Equations
6: Simple Equations
7: Equations 2
8: Equations 3
9: Algebra: Linear Equations 4
10: Algebra: Solving Inequalities
11: Algebra: graphing lines 1
12: Algebra: Slope and Y-intercept intuition
13: Algebra: Slope
14: Algebra: Slope 2
15: Algebra: Slope 3
16: Algebra: Equation of a line
17: Slope and Y-intercept Intuition
18: Averages
19: Integer sums
20: Taking percentages
21: Growing by a percentage
22: Another Percent Word Problem
23: More percent problems
24: systems of equations
25: Introduction to Ratios
26: Ratio problem with basic algebra
27: More advanced ratio problem--with Algebra
28: Alternate Solution to Ratio Problem
29: Introduction to Ratios
30: Advanced ratio problems
31: Age word problems 1
32: Age word problems 2
33: Age word problems 3
34: Level 1 multiplying expressions
35: Solving a quadratic by factoring
36: Introduction to i and Imaginary Numbers
37: Calculating i Raised to Arbitrary Exponents
38: i as the Principal Root of -1 (a little technical)
39: Complex Numbers (part 1)
40: Complex Numbers (part 2)
41: Introduction to the quadratic equation
42: Quadratic Equation part 2
43: Completing the square
44: Quadratic Formula (proof)
46: Quadratic Inequalities (Visual Explanation)
47: Introduction to functions
48: Functions Part 2
49: Functions (Part III)
50: Functions (part 4)
51: Domain of a function
52: Proof: log a + log b = log ab
53: Proof: A(log B) = log (B^A), log A - log B = log (A/B)
54: Proof: log_a (B) = (log_x (B))/(log_x (A))
55: Algebraic Long Division
56: Introduction to Conic Sections
57: Conic Sections: Intro to Circles
58: Conic Sections: Intro to Ellipses
59: Conic Sections: Intro to Hyperbolas
60: Conic Sections: Hyperbolas 2
61: Conic Sections: Hyperbolas 3
62: Identifying Conics 1
63: Identifying Conics 2
64: Conic Identification 3
65: Foci of an Ellipse
66: Foci of a Hyperbola
67: Proof: Hyperbola Foci
68: Partial Fraction Expansion 1
69: Partial Fraction Expansion 2
70: Partial Fraction Expansion 3
71: Parabola Focus and Directrix 1
72: Focus and Directrix of a Parabola 2
73: Two Passing Bicycles Word Problem
74: Passed Bike Word Problem
75: Passing Trains
76: Overtaking Word Problem
77: Early Train Word Problem
78: Officer on Horseback
79: Rational Inequalities
80: Rational Inequalities 2
81: Interesting Polynomial Coefficient Problem
82: Geometric series sum to figure out mortgage payments
83: Introduction to Function Inverses
84: Function Inverse Example 1
85: Function Inverses Example 2
86: Function Inverses Example 3
87: Direct and Inverse Variation
88: Recognizing Direct and Inverse Variation
89: Recognizing Odd and Even Functions
90: Connection between even and odd numbers and functions
91: New Operator Definitions
92: Proof by Induction
93: Alternate Proof to Induction for Integer Sum
94: Writing Proportions
95: Coverting Repeating Decimals to Fractions 1
96: Coverting Repeating Decimals to Fractions 2