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College Algebra Syllabus and Core Competencies – Study Guide

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Linear Equations

  • Guided course
    Solving Linear Equations with Fractions
    04:02
  • Guided course
    Introduction to Solving Linear Equtions
    07:48
  • Guided course
    Categorizing Linear Equations
    06:00

Polynomials Intro

  • Guided course
    Standard Form of Polynomials
    05:16
  • Guided course
    Introduction to Polynomials
    05:13
  • Guided course
    Adding and Subtracting Polynomials
    03:34

Factoring Polynomials

  • Guided course
    Factor Using the AC Method When a Is 1
    4:16
  • Guided course
    Factor by Grouping
    04:36
  • Guided course
    Introduction to Factoring Polynomials
    07:30

Rational Equations

  • Guided course
    Introduction to Rational Equations
    05:56
  • Guided course
    Restrictions on Rational Equations
    05:21

Radical Expressions

  • Guided course
    Square Roots
    05:49
  • Guided course
    Nth Roots
    06:56

Exponents

  • Guided course
    Simplifying Exponential Expressions
    6:39
  • Guided course
    Introduction to Exponent Rules
    7:39
  • Guided course
    Zero and Negative Rules
    6:37

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Asymptotes

  • Guided course
    Introduction to Asymptotes
    6:24
  • Guided course
    Determining Horizontal Asymptotes
    4:48
  • Guided course
    Determining Removable Discontinuities (Holes)
    3:34

Intro to Quadratic Equations

  • Guided course
    Introduction to Quadratic Equations
    05:35
  • Guided course
    Solving Quadratic Equations by Factoring
    06:08

The Quadratic Formula

  • Guided course
    Solving Quadratic Equations Using The Quadratic Formula
    06:36
  • Guided course
    The Discriminant
    04:11

Completing the Square

  • Guided course
    Solving Quadratic Equations by Completing the Square
    06:24

The Square Root Property

  • Guided course
    Imaginary Roots with the Square Root Property
    02:20
  • Guided course
    Solving Quadratic Equations by the Square Root Property
    06:12

Choosing a Method to Solve Quadratics

  • Guided course
    Choosing a Method to Solve Quadratics
    04:03

Graphs and Coordinates

  • Guided course
    Graphs and Coordinates - Example
    02:16
  • Guided course
    Graphs & the Rectangular Coordinate System
    05:10

Lines

  • Guided course
    Point-Slope Form
    05:46
  • Guided course
    Graphing Lines in Slope-Intercept Form
    02:35
  • Guided course
    Types of Slope
    05:17

Intro to Functions & Their Graphs

  • Guided course
    Finding the Domain of an Equation
    3:43
  • Guided course
    Relations & Functions Example 1
    1:30
  • Guided course
    Relations and Functions
    5:20

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

Transformations

  • Guided course
    Stretches & Shrinks of Functions
    6:02
  • Guided course
    Shifts of Functions
    5:34
  • Guided course
    Domain & Range of Transformed Functions
    4:22

Function Operations

  • Guided course
    Adding & Subtracting Functions
    5:56
  • Guided course
    Adding & Subtracting Functions Example 1
    4:46
  • Guided course
    Multiplying & Dividing Functions
    7:24

Function Composition

  • Guided course
    Evaluating Composed Functions
    4:26
  • Guided course
    Decomposition of Functions Example 1
    1:46
  • Guided course
    Domain Restrictions of Composed Functions
    3:51

Quadratic Functions

  • Guided course
    Converting Standard Form to Vertex Form
    04:34
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 2
    7:49

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Maximum Turning Points of a Polynomial Function
    02:44
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42

Graphing Polynomial Functions

  • Guided course
    Example 1
    09:43
  • Guided course
    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Graphing Polynomial Functions
    05:25

Two Variable Systems of Linear Equations

  • Guided course
    Example 1
    3:09
  • Guided course
    Solving Systems of Equations - Elimination
    6:48
  • Guided course
    Example 2
    3:31

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

Graphing Exponential Functions

  • Guided course
    Transformations of Exponential Graphs Example 1
    4:12
  • Guided course
    Graphing Exponential Functions Example 1
    3:58
  • Guided course
    Transformations of Exponential Graphs
    6:16

Introduction to Logarithms

  • Guided course
    Evaluate Logarithms
    5:14
  • Guided course
    Logarithms Introduction
    7:30
  • Guided course
    The Natural Log
    2:51

Graphing Logarithmic Functions

  • Guided course
    Graphing Logarithmic Functions
    4:30
  • Guided course
    Transformations of Logarithmic Graphs
    4:37
  • Guided course
    Graphs of Logarithmic Functions
    5:26

Properties of Logarithms

  • Guided course
    Change of Base Property
    5:36
  • Guided course
    Product, Quotient, and Power Rules of Logs
    3:49
  • Guided course
    Expand & Condense Log Expressions
    4:22

Solving Exponential and Logarithmic Equations

  • Guided course
    Solving Exponential Equations Using Logs
    5:47
  • Guided course
    Solving Exponential Equations Using Like Bases
    4:46
  • Guided course
    Solving Logarithmic Equations
    5:02

Linear Inequalities

  • Guided course
    Interval Notation
    05:18
  • Guided course
    Linear Inequalities with Fractions & Variables on Both Sides
    03:42
  • Guided course
    Linear Inequalities
    06:07

Graphs and Coordinates

  • Guided course
    Graphs and Coordinates - Example
    02:16
  • Guided course
    Graphs & the Rectangular Coordinate System
    05:10

Introduction to Matrices

  • Guided course
    Performing Row Operations on Matrices
    8:38
  • Guided course
    Example 1
    13:06
  • Guided course
    Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)
    5:58

Determinants and Cramer's Rule

  • Guided course
    Determinants of 3×3 Matrices
    7:25
  • Guided course
    Cramer's Rule - 2 Equations with 2 Unknowns
    6:54
  • Guided course
    Determinants of 2×2 Matrices
    4:36