Читать книгу Algebra II: 1001 Practice Problems For Dummies (+ Free Online Practice) - Mary Jane Sterling, Mary Sterling Jane - Страница 3

1  Cover

2  Title Page

3  Copyright

4  Introduction What You’ll Find How This Workbook Is Organized Beyond the Book Where to Go for Additional Help

5  Part 1: The Questions Chapter 1: Reviewing Algebra Basics The Problems You’ll Work On What to Watch Out For Multiplying Binomials and Trinomials Using Pascal’s Triangle to Multiply Binomials Solving Linear Equations Solving Linear Equations for Variables Solving Linear Inequalities Making Radical Expressions Simpler Working with Complex Expressions Chapter 2: Solving Quadratic Equations and Nonlinear Inequalities The Problems You’ll Work On What to Watch Out For Applying the Square Root Rule on Quadratic Equations Solving Quadratic Equations Using Factoring Using the Quadratic Formula to Solve Equations Recognizing and Solving Quadratic-Like Equations Completing the Square to Solve Quadratic Equations Combining Methods When Solving Quadratic Equations Solving Quadratic Inequalities Using Number Lines Chapter 3: Solving Radical and Rational Equations The Problems You’ll Work On What to Watch Out For Solving Rational Equations Taking on Radical Equations Involving One Radical Term Solving Radical Equations with Multiple Radical Terms Chapter 4: Graphs and Equations of Lines The Problems You’ll Work On What to Watch Out For Sketching Lines Using a Point and Slope Writing Equations of Lines Given Point and Slope Writing Equations of Lines Given Two Points Finding Equations of Parallel Lines Writing Equations of Perpendicular Lines Chapter 5: Functions The Problems You’ll Work On What to Watch Out For Determining a Function’s Domain and Range Finding Inverses of Functions Recognizing Even and Odd Functions Performing the Composition Operation on Functions Creating a Difference-Quotient and Simplifying Evaluating Piecewise Functions for Particular Inputs Chapter 6: Quadratic Functions and Relations The Problems You’ll Work On What to Watch Out For Determining the Vertex and Intercepts of a Parabola Writing Equations of Parabolas in a Standard Form Sketching Graphs of Parabolas Using Quadratic Equations in Applications Chapter 7: Polynomial Functions and Equations The Problems You’ll Work On What to Watch Out For Recognizing the Intercepts of Polynomials Factoring by Grouping to Solve for Intercepts Applying the Rational Root Theorem to Find Roots Performing Synthetic Division to Factor Polynomials Evaluating Polynomials for Input Values Investigating End-Behavior of Polynomials Sketching the Graphs of Polynomial Functions Chapter 8: Rational Functions The Problems You’ll Work On What to Watch Out For Investigating the Domain of a Rational Function Determining a Function’s Removable Discontinuity Evaluating a Function When x Is Infinitely Large or Small Determining a Function’s Infinite Limit Writing Equations of Asymptotes Adding Oblique Asymptotes to the Mix Sketching the Graphs of Rational Functions Chapter 9: Exponential and Logarithmic Functions The Problems You’ll Work On What to Watch Out For Evaluating Exponential Functions for Input Evaluating Exponential Functions in Base e Sketching the Graphs of Exponential Functions Finding Values of Logarithmic Expressions for Given Input Evaluating Natural Logarithms in Base e Sketching the Graphs of Log Functions Rewriting a Log Function as Its Exponential Inverse Changing Exponential Functions to Logarithmic Inverses Solving Exponential Equations Solving Logarithmic Equations Chapter 10: Conic Sections The Problems You’ll Work On What to Watch Out For Rewriting Equations of Parabolas in Standard Form Determining a Vertex, Focus, Directrix, and Axis of Symmetry Sketching the Graph of a Parabola Rewriting a Circle’s Equation in Standard Form Identifying the Center and Radius of a Circle Sketching the Graph of a Circle Writing an Ellipse’s Equation in Standard Form Identifying the Center, the Foci, and Axis Endpoints Sketching the Graphs of Ellipses Writing the Equation of a Hyperbola in Standard Form Finding the Center, Foci, and Asymptotes of Hyperbolas Sketching the Graphs of Hyperbolas Chapter 11: Systems of Linear Equations The Problems You’ll Work On What to Watch Out For Solving Systems of Two Linear Equations Performing Row Operations on Linear Equations Solving Systems of Equations with Row Echelon Form Using Reduced Row Echelon Form to Solve Systems Solving Systems of Linear Equations Decomposing Fractions Using Systems of Equations Chapter 12: Systems of Nonlinear Equations and Inequalities The Problems You’ll Work On What to Watch Out For Determining Intersections of Parabolas and Lines Finding Where Two Parabolas Meet Solving for Intersections of Conics Finding the Intersections of Exponential Functions Using Graphing to Solve Systems of Inequalities Chapter 13: Working with Complex Numbers The Problems You’ll Work On What to Watch Out For Rewriting Powers of i as i, –i, 1, or –1 Operating on and Simplifying Complex Expressions Multiplying and Simplifying Complex Numbers Using Conjugates to Divide Complex Numbers Solving for Complex Solutions in Quadratic Equations Chapter 14: Matrices The Problems You’ll Work On What to Watch Out For Determining the Dimension and Type of Matrix Adding and Subtracting Matrices Performing Scalar Multiplication on Matrices Multiplying Matrices Determining Inverses of Square Matrices Dividing Matrices Using Inverses Using Matrices to Solve Systems of Equations Chapter 15: Sequences and Series The Problems You’ll Work On What to Watch Out For Writing Terms of a Sequence Given a Rule Finding a General Term for an Arithmetic Sequence Writing a General Term for a Geometric Sequence Recognizing Patterns in Sequences Creating Recursively Defined Sequences Writing More Terms of Special Sequences Finding the Sum of the Terms in a Series Summing Arithmetic Series Determining the Sum of a Geometric Series Computing the Sum of a Special Series Using a Special Formula for the Sum of an Infinite Series Chapter 16: Sets The Problems You’ll Work On What to Watch Out For Creating the Elements of a Set from a Description Performing Set Operations Operating on Sets of Special Numbers Using Venn Diagrams to Solve Problems Involving Sets Enlisting Venn Diagrams to Solve Applications Chapter 17: Counting Techniques and Probability The Problems You’ll Work On What to Watch Out For Solving Problems Using the Multiplication Property Counting How Many Using Permutations Incorporating Combinations in Counting Problems Performing a Binomial Expansion Solving Probability Problems Using Counting Techniques

6  Part 2: The Answers Chapter 18: The Answers

7  Index

8  About the Author

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