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College Algebra Pathway: Syllabus and Course Structure Overview

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Solving Linear Equations

Linear Inequalities in One Variable

The Addition and Subtraction Properties of Equality

The Multiplication and Division Properties of Equality

Evaluating Expressions

Evaluating Exponents

Simplifying Expressions

Intro to the Power Rules

Simplifying Exponential Expressions Using All Exponent Rules

Intro to Polynomials

Multiplying Polynomials

Factoring by Greatest Common Factor & Grouping

Factoring Trinomials of the Form x² + bx + c

Factoring Trinomials of the Form ax² + bx + c

Quadratic Equations & Applications

Simplifying Rational Expressions

Least Common Denominators

Adding and Subtracting Rational Expressions with Different Denominators

Rational Equations

Introduction to Relations and Functions

Function Notation

Graphing Common Functions

Composition of Functions

Introduction to Radical Expressions

Simplifying Radical Expressions

Adding and Subtracting Radicals

Multiplying, Dividing, and Rationalizing Radicals

Introduction to Complex Numbers

Multiplying and Dividing Complex Numbers

The Square Root Property

Completing the Square

The Quadratic Formula

Exponential Functions

Introduction to Logarithmic Functions