Skip to main content
Back

College Algebra Final Exam Review: Comprehensive Study Notes

NotesPracticeVideo lessons

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Exponents

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

Rational Exponents

  • Rational Exponents
    04:06

Introduction to Logarithms

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

Properties of Logarithms

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

Solving Exponential and Logarithmic Equations

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

Polynomials Intro

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

Factoring Polynomials

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

Graphs and Coordinates

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

Linear Equations

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

Quadratic Functions

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

Intro to Functions & Their Graphs

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

Function Operations

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

Function Composition

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

Introduction to Matrices

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

Determinants and Cramer's Rule

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

Zeros of Polynomial Functions