Description: 1The Real Number System and Geometry 1.1Review of Fractions 1.2Exponents and Order of Operations 1.3Geometry Review 1.4Sets of Numbers and Absolute Value 1.5Addition and Subtraction of Real Numbers 1.6Multiplication and Division of Real Numbers 1.7Algebraic Expressions and Properties of Real Numbers 2The Rules of Exponents 2.1Basic Rules of Exponents Part AThe Product Rule and Power Rules Part BCombining the Rules 2.2Integer Exponents Part AReal-Number Bases Part BVariable Bases 2.3The Quotient Rule Putting It All Together 2.4Scientific Notation 3Linear Equations and Inequalities 3.1Solving Linear Equations Part I 3.2Solving Linear Equations Part II 3.3Applications of Linear Equations 3.4Applications Involving Percentages 3.5Geometry Applications and Solving Formulas 3.6Applications of Linear Equations to Proportions, Money Problems, and d=rt 3.7Solving Linear Inequalities in One Variable 3.8Solving Compound Inequalities 4Linear Equations in Two Variables 4.1Introduction to Linear Equations in Two Variables 4.2Graphing by Plotting Points and Finding Intercepts 4.3The Slope of a Line 4.4The Slope-Intercept Form of a Line 4.5Writing an Equation of a Line 4.6Introduction to Functions 5Solving Systems of Linear Equations 5.1Solving Systems by Graphing 5.2Solving Systems by Substitution 5.3Solving Systems by the Elimination Method Putting It All Together 5.4Applications of Systems of Two Equations 5.5Systems of Three Equations and Applications 6Polynomials 6.1Review of the Rules of Exponents 6.2Addition and Subtraction of Polynomials 6.3Multiplication of Polynomials 6.4Division of Polynomials 7 Factoring Polynomials 7.1The Greatest Common Factor and Factoring by Grouping 7.2Factoring Trinomials of the Form x2+bx+c 7.3Factoring Trinomials of the Form ax2+bx+c (a1) 7.4Factoring Special Trinomials and Binomials Putting It All Together 7.5Solving Quadratic Equations by Factoring 7.6Applications of Quadratic Equations 8Rational Expressions 8.1Simplifying Rational Expressions 8.2Multiplying and Dividing Rational Expressions 8.3Finding the Least Common Denominator 8.4Adding and Subtracting Rational Expressions Putting It All Together 8.5Simplifying Complex Fractions 8.6Solving Rational Equations 8.7Applications of Rational Equations 9More Equations and Inequalities 9.1Solving Absolute Value Equations 9.2Solving Absolute Value Inequalities 9.3Solving Linear and Compound Linear Inequalities in Two Variables 9.4Solving Systems of Linear Equations Using Matrices 10Radicals and Rational Exponents 10.1Finding Roots 10.2Rational Exponents 10.3Simplifying Expressions Containing Square Roots 10.4Simplifying Expressions Containing Higher Roots 10.5Adding, Subtracting, and Multiplying Radicals 10.6Dividing Radicals Putting It All Together 10.7Solving Radical Equations 10.8Complex Numbers 11Quadratic Equations 11.1Review of Solving Equations by Factoring 11.2The Square Root Property and Completing the Square 11.3The Quadratic Formula Putting It All Together 11.6Equations in Quadratic Form 11.7Formulas and Applications 12Functions and their Graphs 12.1Relations and Functions 12.2Graphs of Functions and Transformations 12.3Quadratic Functions and Their Graphs 12.4Applications of Quadratic Functions and Graphing Other Parabolas 12.5The Algebra of Functions 12.6Variation 13Exponential, and Logarithmic Functions 13.1Inverse Functions 13.2Exponential Functions 13.3Logarithmic Functions 13.4Properties of Logarithms 13.5Common and Natural Logarithms and Change of Base 13.6Solving Exponential and Logarithmic Equations 14Conic Sections, Nonlinear Inequalities, and Nonlinear Systems 14.1The Circle 14.2The Ellipse and the Hyperbola Putting It All Together 14.3Nonlinear Systems of Equations 14.4Quadratic and Rational Inequalities 15Sequences and Series (Online Only) 15.1Sequences and Series 15.2Arithmetic Sequences and Series 15.3Geometric Sequences and Series 15.4The Binomial Theorem AAppendix: Beginning Algebra Review A1The Real Number System and Geometry A2Variables and Exponents A3Linear Equations and Inequalities A4Linear Equations in Two Variables and Functions A5Solving Systems of Linear Equations A6Polynomials A7Factoring Polynomials A8Rational Expressions

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