Algebra II
CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions.\ Whether you're looking for an in-depth treatment of the entire subject matter or occasional reinforcement of key algebra concepts, this is the place to find it.. CliffsQuickReview Algebra II is a comprehensive study guide to the many topics of a second course in algebra, including information on linear...
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We take great notes—and make learning a snap When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core algebraic concepts—from linear equations, relations and functions, and rational expressions to radicals, quadratic systems, and factoring polynomials—and get the best possible grade. At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase—and zero in on the essential information you need to succeed. Study smarter @ cliffsnotes.com Free CliffsNote-A-Day tips Free test-taking tips and tricks Free test samples and schedules Free info on other test resources Plus hundreds of downloadable Cliffs titles 24 hours a day Make the grade with CliffsQuickReviews CliffsQuickReviews are available for more than 30 introductory level courses. See inside for a complete listing of these and other bestselling Cliffs titles.
Introduction1Why You Need This Book2How to Use This Book2Visit Our Web Site3Chapter 1Linear Sentences in One Variable5Linear Equations5Formulas7Absolute Value Equations10Linear Inequalities12Compound Inequalities14Absolute Value Inequalities17Chapter 2Segments, Lines, and Inequallties22Rectangular Coordinate System22Distance Formula24Midpoint Formula25Slope of a Line26Slope of Parallel and Perpendicular Lines28Equations of Lines29Graphs of Linear Inequalities35Chapter 3Linear Sentences in Two Variables41Linear Equations: Solutions Using Graphing41Linear Equations: Solutions Using Substitution43Linear Equations: Solutions Using Eliminations44Linear Equations: Solutions Using Matrices47Linear Equations: Solutions Using Determinants48Linear Inequalities: Solutions Using Graphing51Chapter 4Linear Equations in Three Variables57Linear Equations: Solutions Using Elimination57Linear Equations: Solutions Using Matrices61Linear Equations: Solutions Using Determinants64Chapter 5Polynomial Arithmetic70Adding and Subtracting Polynomials70Monomial, binomial, and trinomial70Like terms or similar terms71Ascending and descending order72Multiplying Polynomials73Special Products of Binomials75Dividing Polynomials77Synthetic Division81Chapter 6Factoring Polynomials84Greatest Common Factor84Difference of Squares85Sum or Difference of Cubes86Trinomials of the Form x[superscript 2] + bx + c88Trinomials of the Form ax[superscript 2] + bx + c89Square Trinomials91Factoring by Regrouping91Summary of Factoring Techniques92Solving Equations by Factoring93Chapter 7Rational Expressions97Examples of Rational Expressions97Simplifying Rational Expressions98Multiplying Rational Expressions99Dividing Rational Expressions100Adding and Subtracting Rational Expressions101Complex Fractions105Solving Rational Equations107Proportion, Direct Variation, Inverse Variation, Joint Variation109Proportion119Direct variation110Inverse variation111Joint variation112Graphing Rational Functions113Chapter 8Relations and Functions118Basic Definitions118Relation118Domain and range119Function121Function Notation123Compositions of Functions124Algebra of Functions125Inverse Functions126Chapter 9Polynomial Functions132Polynomial Function132Remainder Theorem133Factor Theorem134Zeros of a Function135Rational Zero Theorem135Graphing Polynomial Functions137Chapter 10Radicals and Complex Numbers141Radicals141Simplifying Radicals144Adding and Subtracting Radical Expressions144Multiplying Radical Expressions145Dividing Radical Expressions146Rationalizing the denominator147Conjugates148Rational Exponents148Complex Numbers149Chapter 11Quadratics in One Variable153Quadratic Equations153Solving Quadratics by Factoring154Solving Quadratics by the Square Root Property154Solving Quadratics by Completing the Square155Solving Quadratics by the Quadratic Formula157Solving Equations in Quadratic Form159Solving Radical Equations160Solving Quadratic Inequalities165Chapter 12Conic Sections171The Four Conic Sections171Circle172Parabola174Ellipse179Hyperbola185Chapter 13Quadratic Systems192Systems of Equations Solved Algebraically192Systems of Equations Solved Graphically194Systems of Inequalities Solved Graphically196Chapter 14Exponential and Logarithmic Functions200Exponential Functions200Logarithmic Functions204Properties of Logarithms207Exponential and Logarithmic Equations209Chapter 15Sequences and Series215Definition and Examples of Sequences215Arithmetic Sequence217Arithmetic Series218Geometric Sequence219Geometric Series221Summation Notation223Chapter 16Additional Topics226Factorials226Binomial Coefficients and the Binomial Theorem227Permutations229Combinations231Chapter 17Word Problems233General Strategy233Simple Interest234Compound Interest235Mixture236Motion236Work239Arithmetic/Geometric Series241CQR Review244CQR Resource Center250Glossary253Index260
