Mary Jane Sterling - Pre-Calculus - 1001 Practice Problems For Dummies (+ Free Online Practice)

Pre-Calculus: 1001 Practice Problems For Dummies®

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Library of Congress Control Number: 2022935109

ISBN: 978-1-119-88362-3 (pbk); 978-1-119-88363-0 (ebk); 978-1-119-88364-7 (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: Getting Started with Algebra Basics The Problems You’ll Work On What to Watch Out For Identifying Which System or Systems a Number Belongs To Recognizing Properties of Number Systems Simplifying Expressions with the Order of Operations Graphing Inequalities Using Graphing Formulas Applying Graphing Formulas Chapter 2: Solving Some Equations and Inequalities The Problems You’ll Work On What to Watch Out For Using Interval and Inequality Notation Solving Linear Inequalities Solving Quadratic Inequalities Solving Absolute Value Inequalities Working with Radicals and Fractional Notation Performing Operations Using Fractional Exponents Factoring Using Fractional Notation Solving Radical Equations Rationalizing Denominators Chapter 3: Function Basics The Problems You’ll Work On What to Watch Out For Using Function Notation to Evaluate Function Values Determining the Domain and Range of a Function Recognizing Even Functions Identifying Odd Functions Ruling Out Even and Odd Functions Recognizing One-to-One Functions from Given Relations Identifying One-to-One Functions from Equations Recognizing a Function’s Inverse Determining a Function’s Inverse Executing Operations on Functions Performing Function Composition Doing More Function Composition Using the Difference Quotient Chapter 4: Graphing and Transforming Functions The Problems You’ll Work On What to Watch Out For Functions and Their Inverses Sketching Quadratic Functions from Their Equations Writing Equations from Graphs of Parabolas Investigating and Graphing Radical Functions Investigating Absolute Value Functions Investigating the Graphs of Polynomial Functions Investigating Rational Functions Transformation of Functions Transforming Selected Points Using Functions Sketching Graphs Using Basic Functions and Transformations Sketching More Graphs Using Basic Functions and Transformations Chapter 5: Polynomials The Problems You’ll Work On What to Watch Out For Using Factoring to Solve Quadratic Equations Solving Quadratic Equations by Using the Quadratic Formula Using Completing the Square to Solve Quadratic Equations Solving Polynomial Equations for Intercepts Using Factoring by Grouping to Solve Polynomial Equations Applying Descartes’s Rule of Signs Listing Possible Roots of a Polynomial Equation Dividing Polynomials Using Synthetic Division to Divide Polynomials Checking for Roots of a Polynomial by Using Synthetic Division Writing Polynomial Expressions from Given Roots Writing Polynomial Expressions When Given Roots and a Point Graphing Polynomials Writing Equations from Graphs of Polynomials Chapter 6: Exponential and Logarithmic Functions The Problems You’ll Work On What to Watch Out For Understanding Function Notation Graphing Exponential Functions Solving Exponential Equations Using the Equivalence to Rewrite Expressions Using the Equivalence to Rewrite Expressions Rewriting Logarithmic Expressions Rewriting Logs of Products and Quotients as Sums and Differences Solving Logarithmic Equations Applying Function Transformations to Log Functions Applying Logarithms to Everyday Life Chapter 7: Trigonometry Basics The Problems You’ll Work On What to Watch Out For Using Right Triangles to Determine Trig Functions Solving Problems by Using Right Triangles and Their Functions Working with Special Right Triangles Changing Radians to Degrees Changing Degrees to Radians Finding Angle Measures (in Degrees) in Standard Position Determining Angle Measures (in Radians) in Standard Position Identifying Reference Angles Determining Trig Functions by Using the Unit Circle Calculating Trig Functions by Using Other Functions and Terminal Side Positions Using the Arc Length Formula Evaluating Inverse Functions Solving Trig Equations for