Conceptual Algebra I

3 Real Numbers

The Four Operations

The four operations on real numbers.

Table of Videos

1 Introduction
- 1.1 Introduction
2 Sets
- 2.1 Set Theory
- 2.2 Set Operations and Venn Diagrams
3 Real Numbers
4 Expressions
- 4.1 Expressions
- 4.2 Simplifying Expressions
5 Polynomials
- 5.1 What is a Polynomial
- 5.2 Adding and Subtracting Polynomials
- 5.3 Multiplying Polynomials
6 Factoring
- 6.1 What is Factoring?
- 6.2 Factoring—The Fundamental Four
7 Rational and Radical Expressions
- 7.1 Rational Expressions
8 Equations
- 8.1 Equations
- 8.2 Solving Equations
- 8.3 The Principle of Equality
- 8.4 Rational Equations
9 Linear Equation Applications
- 9.1 Related Quantities
- 9.2 Motion
- 9.3 Mixtures
- 9.4 Work
10 Linear Inequality, Absolute Value, and Radical Equations
- 10.1 Linear Inequality
- 10.2 Absolute Value Equations
- 10.3 Radical Equations
11 The Coordinate Plane
- 11.1 The XY Coordinate Plane and Ordered Pairs
- 11.2 Distance and Midpoint
- 11.3 The Equation of a Line in the Plane
12 Lines in the Plane
- 12.1 Slope and the Slope Intercept Equation
- 12.2 Point-Slope Equation
13 Complex Numbers
- 13.1 Complex Numbers
- 13.2 Operations with Complex Numbers
14 Functions
- 14.1 Functions
- 14.2 Key Functions
- 14.3 Function Algebra
- 14.4 Function Composition
- 14.5 Inverses of Functions
- 14.6 Even and Odd Functions
15 The Quadratic Function
- 15.1 Quadratics
- 15.2 The Vertex Form and Graphing Quadratics
16 Quadratic Equations
- 16.1 Factoring and Completing the Square
- 16.2 The Quadratic Formula
- 16.3 The Discriminant
17 Applications of Quadratic Functions
- 17.1 Some Geometry
- 17.2 Cost and Profit
- 17.3 Projectiles
18 Polynomial Equations and Graphs
- 18.1 The Principle of Zero Products
- 18.2 The Fundamental Theorem of Algebra
- 18.3 Synthetic Division
- 18.4 Graphing Polynomials
- 18.5 Examples of Graphing Polynomials
19 Exponential and Logarithmic Functions
- 19.1 Exponential Functions
- 19.2 Logarithmic Functions
- 19.3 Exponential and Logarithmic Equations
- 19.4 Epilogue