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MAT 1033C Intermediate Algebra: Weekly Topic Overview and Study Guide

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Solving Linear Equations

Linear Inequalities in One Variable

Set Operations and Compound Inequalities

Introduction to Problem Solving

Formulas

Graph Linear Equations in Two Variables

Introduction to Relations and Functions

Slope of a Line

Slope-Intercept Form

Linear Inequalities in Two Variables

Evaluating Exponents

Intro to the Power Rules

Negative Exponents

Simplifying Exponential Expressions Using All Exponent Rules

Intro to Polynomials

Adding and Subtracting Polynomials

Multiplying Polynomials

Special Products

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

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions with Common Denominators

Adding and Subtracting Rational Expressions with Different Denominators

Simplifying Rational Expressions

Rational Equations

Introduction to Radical Expressions

Simplifying Radical Expressions

Adding and Subtracting Radicals

Multiplying, Dividing, and Rationalizing Radicals

Introduction to Complex Numbers

Quadratic Equations & Applications

The Quadratic Formula

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Elimination