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College Algebra Pathway: Syllabus and Course Structure Overview

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Solving Linear Equations

  • Strategy for Solving Linear Equations
    06:21
  • 가이드 코스
    Solving Linear Equations with Fraction or Decimal Coefficients
    06:25
  • 가이드 코스
    Solving Linear Equations with Fraction or Decimal Coefficients Example 2
    05:27

Linear Inequalities in One Variable

  • Solving Linear Inequalities
    05:29
  • Solving Linear Inequalities Example 3
    02:46
  • 가이드 코스
    Solving Three Part Inequalities
    05:13

The Addition and Subtraction Properties of Equality

  • Addition and Subtraction Properties of Equality Example 3
    01:58
  • Introduction to Linear Equations
    06:06
  • Introduction to Linear Equations Example 1
    01:46

The Multiplication and Division Properties of Equality

  • Multiplication Property for Fraction Coefficients
    03:56
  • Multiplication and Division Properties of Equality
    06:42
  • Multiplication and Division Properties of Equality Example 2
    01:22

Evaluating Expressions

  • Evaluating Expressions
    05:22
  • Evaluating Expressions Example 2
    01:08
  • Evaluating Expressions Example 3
    03:39

Evaluating Exponents

  • Exponential Expressions with Negative Bases Example 4
    01:55
  • Intro to Exponents Example 2
    00:51
  • Intro to Exponents
    05:24

Simplifying Expressions

  • Like Terms Example 1
    02:12
  • Like Terms Example 2
    01:50
  • Like Terms Example 3
    01:21

Intro to the Power Rules

  • Power of a Product Rule
    03:41
  • The Power Rule for Exponents Example 1
    01:04
  • The Power Rule for Exponents
    03:08

Simplifying Exponential Expressions Using All Exponent Rules

  • Simplifying Exponential Expressions
    6:39

Intro to Polynomials

  • Introduction to Polynomials
    05:13
  • Degree of Polynomials
    05:20

Multiplying Polynomials

  • Multiply Polynomials Using the Distributive Property Example 2
    02:47
  • Multiply Polynomials by Monomials
    03:46
  • Multiply Binomials Using the FOIL Method Example 1
    01:34

Factoring by Greatest Common Factor & Grouping

  • GCF of Terms
    05:42
  • Factoring Polynomials by Grouping Example 4
    02:47
  • Factoring Polynomials by Grouping Example 5
    03:23

Factoring Trinomials of the Form x² + bx + c

  • Factoring Trinomials of the Form x² + bx + c Example 1
    02:03
  • Factoring Trinomials of the Form x² + bx + c
    07:23

Factoring Trinomials of the Form ax² + bx + c

  • Factoring Trinomials by Grouping (AC Method)
    04:23
  • Factoring Trinomials Using Trial and Error
    08:18
  • Factoring Trinomials Using Trial and Error Example 2
    03:07

Quadratic Equations & Applications

  • Solving Quadratic Equations by Factoring
    04:41
  • Applications of Quadratic Equations Example 2
    02:49
  • Applications of Quadratic Equations Example 6
    01:41

Simplifying Rational Expressions

  • Simplifying Rational Expressions Example 2
    03:24
  • Intro To Rational Expressions
    04:37
  • Simplifying Rational Expressions
    04:13

Least Common Denominators

  • Write Equivelant Expressions With Common Denominators Example 1
    03:32
  • Write Equivelant Expressions With Common Denominators Example 2
    03:28
  • Write Equivalent Expressions With Common Denominators
    05:30

Adding and Subtracting Rational Expressions with Different Denominators

  • Adding and Subtracting Rational Expressions with Unlike Denominators
    06:23
  • Adding and Subtracting Rational Expressions with Unlike Denominators Example 1
    08:03

Rational Equations

  • Restrictions on Rational Equations
    05:21
  • Solving Rational Equations Example 1
    08:59
  • Solving Rational Equations
    05:56

Introduction to Relations and Functions

  • Determining if a Relation is a Function Given an Equation Example 3
    05:13
  • Determining if a Relation is a Function Given an Equation
    06:28
  • Domain and Range Example 4
    02:49

Function Notation

  • Function Notation
    05:50
  • Function Notation Example 1
    02:46
  • Function Notation Example 2
    04:20

Graphing Common Functions

  • Graphs of Common Functions
    5:57

Composition of Functions

  • Domain Restrictions of Composed Functions
    3:51
  • Evaluating Composed Functions
    4:26
  • Function Compositions
    4:56

Introduction to Radical Expressions

  • Finding Higher Roots: Even Roots
    04:44
  • Simplifying nth Root of nth Power
    05:20
  • Approximating Roots
    03:15

Simplifying Radical Expressions

  • Product Rule of Radicals Example 1
    01:05
  • Quotient Rule of Radicals
    05:04
  • Simplifying Radicals Example 3
    04:06

Adding and Subtracting Radicals

  • Adding & Subtracting LIKE Radicals
    03:50
  • Adding & Subtracting UNLIKE Radicals
    5:48
  • Adding & Subtracting UNLIKE Radicals Example 1
    01:40

Multiplying, Dividing, and Rationalizing Radicals

  • Rationalizing Denominators Example 3
    02:34
  • Rationalizing Denominators
    02:58
  • Multiplication of Radical Expressions Example 2
    05:00

Introduction to Complex Numbers

  • Adding and Subtracting Complex Numbers
    03:18
  • Introduction to Complex Numbers
    03:31
  • Square Roots of Negative Numbers
    05:02

Multiplying and Dividing Complex Numbers

  • Complex Conjugates
    05:33
  • Multiplying Complex Numbers
    05:02
  • Higher Powers of i
    05:10

The Square Root Property

  • Imaginary Solutions
    02:26
  • Using The Square Root Property
    05:34
  • Using The Square Root Property Example 3
    03:56

Completing the Square

  • Complete the Square Example 1
    08:50
  • Complete the Square
    07:06
  • Complete the Square Example 2
    02:40

The Quadratic Formula

  • Choosing a Method to Solve Quadratic Equations
    03:45
  • Introduction to the Quadratic Formula
    06:08
  • The Discriminant
    04:11

Exponential Functions

  • Graphs of Exponential Functions Example 4
    04:06
  • Evaluating Exponential Functions
    6:13
  • Graphs of Exponential Functions Example 3
    04:25

Introduction to Logarithmic Functions

  • Basic Properties of Logarithms
    05:50
  • Intro to Logarithms
    06:06
  • Converting Between Exponential & Logarithmic Form
    04:20