Algebra II: 1001 Practice Problems For Dummies (+ Free Online Practice)

Title Page
Copyright Page
Table of Contents
Introduction
	What You’ll Find
	How This Workbook Is Organized
		Part 1: Questions
		Part 2: Answers
	Beyond the Book
	Where to Go for Additional Help
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
		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
		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
Part 2 The Answers
	Chapter 18 The Answers
Index
EULA