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Precalculus Study Guide: Key Concepts and Problem Types

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Study Guide - Learn with Videos

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Algebraic Expressions

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

Rational Exponents

  • Rational Exponents
    04:06

Complex Numbers

  • Guided course
    Introduction to Complex Numbers
    03:31
  • Guided course
    Dividing Complex Numbers
    04:22
  • Guided course
    Complex Conjugates
    05:33

Factoring Polynomials

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

Rational Equations

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

Radical Expressions

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

Graphs and Coordinates

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

Two-Variable Equations

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

Function Operations

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

Function Composition

  • Decomposition of Functions
    4:07
  • Function Composition
    4:56
  • Domain Restrictions of Composed Functions
    3:51

Quadratic Functions

  • Guided course
    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 1
    07:11

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42
  • Guided course
    End Behavior of Polynomial Functions
    06:08

Linear Equations

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

Linear Inequalities

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

Two Variable Systems of Linear Equations

  • Example 2
    3:31
  • Solving Systems of Equations - Elimination
    6:48
  • Introduction to Systems of Linear Equations
    4:27