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