Introductory Algebra

Overview

Table of contents

Introductory AlgebraChapter R: Prealgebra ReviewR.1 Fractions: Building and ReducingR.2 Operations with Fractions and Mixed NumbersR.3 Decimals and PercentsChapter 1: Real Numbers and Their Properties1.1 Introduction to Algebra1.2 The Real Numbers1.3 Adding and Subtracting Real Numbers1.4 Multiplying and Dividing Real Numbers1.5 Order of Operations1.6 Properties of the Real Numbers1.7 Simplifying ExpressionsChapter 2: Equations, Problem Solving, and Inequalities2.1 The Addition and Subtraction Properties of Equality2.2 The Multiplication and Division Properties of Equality2.3 Linear Equations2.4 Problem Solving: Integer, General, and Geometry Problems2.5 Problem Solving: Motion, Mixture, and Investment Problems2.6 Formulas and Geometry Applications2.7 Properties of InequalitiesChapter 3: Graphs of Linear Equations, Inequalities, and Applications3.1 Line, Bar Graphs and Applications3.2 Graphing Linear Equations in Two Variables3.3 Graphing Lines Using Intercepts: Horizontal and Vertical Lines3.4 The Slope of a Line: Parallel and Perpendicular Lines3.5 Graphing Lines Using Points and Slopes3.6 Applications of Equations of Lines3.7 Graphing Inequalities in Two VariablesChapter 4: Exponents and Polynomials4.1 The Product, Quotient, and Power Rules for Exponents4.2 Integer Exponents4.3 Application of Exponents: Scientific Notation4.4 Polynomials: An Introduction4.5 Addition and Subtraction of Polynomials4.6 Multiplication of Polynomials4.7 Special Products of Polynomials 4.8 Division of PolynomialsChapter 5: Factoring5.1 Common Factors and Grouping5.2 Factoring x^2+bx+c5.3 Factoring ax^2+bx+c, a≠05.4 Factoring Squares of Binomials5.5 A General Factoring Strategy5.6 Solving Quadratic Equations by Factoring5.7 Applications of QuadraticsChapter 6: Rational Expressions6.1 Building and Reducing Rational Expressions6.2 Multiplication and Division of Rational Expressions6.3 Addition and Subtraction of Rational Expressions6.4 Complex Fractions6.5 Solving Equations Containing Rational Expressions6.6 Ratio, Proportion, and Applications6.7 Direct and Inverse VariationChapter 7: Solving Systems of Linear Equations and Inequalities7.1 Solving Systems of Equations by Graphing7.2 Solving Systems of Equations by Substitution7.3 Solving Systems of Equations by Elimination7.4 Coin, General Motion, and Investment Problems7.5 Systems of Linear InequalitiesChapter 8: Roots and Radicals8.1 Finding Roots8.2 Multiplication and Division of Radicals8.3 Addition and Subtraction of Radicals8.4 Simplifying Radicals8.5 ApplicationsChapter 9: Quadratic Equations9.1 Solving Quadratic Equations by the Square Root Property9.2 Solving Quadratic Equations by Completing the Square9.3 Solving Quadratic Equations by the Quadratic Formula9.4 Graphing Quadratic Equations9.5 The Pythagorean Theorem and Other Applications9.6 Functions