Beginning Algebra

Reference: Fractions, Decimals, Percents, Geometry, and Study Skills R.1 Fractions R.2 Decimals and Percents R.3 Introduction to Geometry R.4 Study Skills 1 Set of Real Numbers 1.1 Sets of Numbers and the Real Number Line 1.2 Order of Operations 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers Midchapter Review 1.5 Multiplication and Division of Real Numbers 1.6 Properties of Real Numbers and Simplifying Expressions 1.7 Connections to Graphing: Rectangular Coordinate System 2 Linear Equations and Inequalities 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2 Solving Linear Equations 2.3 Applications of Linear Equations: Introduction to Problem Solving 2.4 Linear Equations: Clearing Fractions and Decimals Midchapter Review 2.5 Applications of Geometry 2.6 More Applications of Linear Equations 2.7 Linear Inequalities 2.8 Connections to Graphing: Linear Equations in Two Variables 3 Polynomials and Properties of Exponents 3.1 Exponents: Multiplying and Dividing Common Bases 3.2 More Properties of Exponents 3.3 Definitions of b0 and bn 3.4 Scientific Notation Midchapter Review 3.5 Addition and Subtraction of Polynomials 3.6 Multiplication of Polynomials 3.7 Division of Polynomials 3.8 Connections to Graphing: Introduction to Nonlinear Graphs 4 Factoring Polynomials 4.1 Greatest Common Factor and Factoring by Grouping 4.2 Factoring Trinomials: Grouping Method 4.3 Factoring Trinomials: Trial-and-Error Method 4.4 Factoring Perfect Square Trinomials and the Difference of Squares Midchapter Review: "Factoring Strategy" 4.5 Factoring the Sum and Difference of Cubes and General Factoring Summary 4.6 Solving Quadratic Equations Using the Zero Product Rule 4.7 Connections to Graphing: x- and y-Intercepts 5 Rational Expressions 5.1 Introduction to Rational Expressions 5.2 Multiplication and Division of Rational Expressions 5.3 Least Common Denominator 5.4 Addition and Subtraction of Rational Expressions Midchapter Review 5.5 Complex Fractions 5.6 Rational Equations 5.7 Applications of Rational Equations and Proportions 6 Graphing Linear Equations in Two Variables 6.1 Linear Equations in Two Variables 6.2 Slope of a Line 6.3 Slope-Intercept Form of a Line Midchapter Review 6.4 Point-Slope Formula 6.5 Connections to Graphing: Applications of Linear Equations 7 Systems of Linear Equations in Two Variables 7.1 Introduction to Systems of Linear Equations 7.2 Substitution Method 7.3 Addition Method Midchapter Review 7.4 Applications of Linear Equations in Two Variables 7.5 Connections to Graphing: Linear Inequalities in Two Variables 8 Radicals 8.1 Introduction to Roots and Radicals 8.2 Properties of Radicals 8.3 Addition and Subtraction of Radicals 8.4 Multiplication of Radicals Midchapter Review 8.5 Rationalization 8.6 Radical Equations 8.7 Rational Exponents 9 Functions, Complex Numbers, and Quadratic Equations 9.1 Introductions to Functions and Function Notation 9.2 Complex Numbers 9.3 Completing the Square Midchapter Review 9.4 Quadratic Formula 9.5 Connections to Graphing: Quadratic FunctionsMiller, Julie is the author of 'Beginning Algebra' with ISBN 9780072363715 and ISBN 0072363711.