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Intermediate Algebra Syllabus and Course Structure Study Guide

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Absolute Value Equations

Linear Inequalities in One Variable

Introduction to Problem Solving

Formulas

The Distributive Property

Simplifying Expressions

Solving Linear Equations

Introduction to Relations and Functions

Function Notation

Graph Linear Equations in Two Variables

Slope of a Line

Slope-Intercept Form

Point Slope Form

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Elimination

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

Factoring Special Products

Quadratic Equations & Applications

Simplifying Rational Expressions

Least Common Denominators

Adding and Subtracting Rational Expressions with Different Denominators

Rational Equations

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

Intro to the Power Rules

Simplifying Exponential Expressions Using All Exponent Rules