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Comprehensive Precalculus Study Guide: Algebra, Functions, Geometry, Sequences, and Applications

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Study Guide - Learn with Videos

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Exponents

  • Guided course
    Zero and Negative Rules
    6:37
  • Guided course
    Power Rules
    5:50
  • Guided course
    Simplifying Exponential Expressions
    6:39

Radical Expressions

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

Rationalize Denominator

  • Guided course
    Rationalizing Denominators
    2:58
  • Guided course
    Rationalizing Denominators Using Conjugates
    03:42

Rational Exponents

  • Guided course
    Rational Exponents
    04:06

Algebraic Expressions

  • Guided course
    Introduction to Algebraic Expressions
    05:09
  • Guided course
    Evaluating Algebraic Expressions
    03:11
  • Guided course
    Introduction to Exponents
    07:07

Factoring Polynomials

  • Guided course
    Factor by Grouping
    04:36
  • Guided course
    Introduction to Factoring Polynomials
    07:30
  • Guided course
    Factor Using Special Product Formulas
    6:29

Linear Inequalities

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

Introduction to Logarithms

  • Guided course
    Logarithms Introduction
    7:30
  • Guided course
    The Natural Log
    2:51
  • Guided course
    Evaluate Logarithms
    05:15

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

Arithmetic Sequences

  • Guided course
    Example 1
    02:35
  • Guided course
    Arithmetic Sequences - General Formula
    05:17
  • Guided course
    Example 2
    07:00

Geometric Sequences

  • Guided course
    Geometric Sequences - General Formula
    04:45
  • Guided course
    Geometric Sequences - Recursive Formula
    04:18

Graphs and Coordinates

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

Two-Variable Equations

  • Guided course
    Equations with Two Variables
    05:28
  • Guided course
    Graphing Intercepts
    04:08
  • Guided course
    Graphing Equations of Two Variables by Plotting Points
    4:29

Lines

  • Guided course
    Standard Form of Line Equations
    05:39
  • Guided course
    Types of Slope
    5:17
  • Guided course
    Point-Slope Form
    05:46

Introduction to Conic Sections

  • Guided course
    Geometries from Conic Sections
    3:08

Ellipses: Standard Form

  • Guided course
    Graph Ellipses at Origin
    05:12
  • Guided course
    Graph Ellipses NOT at Origin
    04:50
  • Guided course
    Foci and Vertices of an Ellipse
    05:30

Parabolas

  • Guided course
    Parabolas as Conic Sections
    05:33
  • Guided course
    Horizontal Parabolas
    05:28
  • Guided course
    Parabolas as Conic Sections Example 1
    07:12

Vectors in Component Form

  • Guided course
    Finding Magnitude of a Vector Example 1
    02:26
  • Guided course
    Algebraic Operations on Vectors Example 1
    03:11
  • Guided course
    Position Vectors & Component Form Example 1
    01:36

Unit Vectors and i & j Notation

  • Guided course
    Unit Vector in the Direction of a Given Vector Example 1
    02:17
  • Guided course
    i & j Notation
    06:01
  • Guided course
    Unit Vector in the Direction of a Given Vector Example 2
    05:21