Mary Jane Sterling - Algebra II - 1001 Practice Problems For Dummies (+ Free Online Practice)

Algebra II: 1001 Practice Problems For Dummies®

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Library of Congress Control Number: 2022935108

ISBN: 978-1-119-88356-2 (pbk); 978-1-119-88357-9 (ebk); 978-1-119-88358-6 (ebk)

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,