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Quadratic-Like Expressions
Factoring Completely Using More Than One Technique
Chapter 12: Other Factoring Techniques
The Problems You’ll Work On
What to Watch Out For
Factoring by Grouping
Combining Other Factoring Techniques with Grouping
Using Multiple Factoring Methods
Chapter 13: Solving Linear Equations
The Problems You’ll Work On
What to Watch Out For
Solving Linear Equations Using Basic Operations
Dealing with Fractions in Linear Equations
Chapter 14: Taking on Quadratic Equations
The Problems You’ll Work On
What to Watch Out For
Applying the Square Root Rule to Quadratic Equations
Solving Quadratic Equations Using Factoring
Applying the Quadratic Formula to Quadratic Equations
Completing the Square to Solve Quadratic Equations
Writing Complex Numbers in the Standard a + bi Form
Finding Complex Solutions Using the Quadratic Formula
Chapter 15: Solving Polynomials with Powers Three and Higher
The Problems You’ll Work On
What to Watch Out For
Applying Descartes’s Rule of Signs to Count Real Roots
Applying the Rational Root Theorem to List Roots
Determining Whether Numbers Are Roots
Solving for the Roots of Polynomials
Chapter 16: Reining in Radical and Absolute Value Equations
The Problems You’ll Work On
What to Watch Out For
Solving Basic Radical Equations
Checking for Extraneous Roots
Squaring Both Sides of Equations Twice
Solving Radicals with Roots Other Than Square Roots
Solving Absolute Value Equations
Handling Absolute Value Equations with No Solution
Chapter 17: Making Inequalities More Fair
The Problems You’ll Work On
What to Watch Out For
Performing Operations on Inequalities
Writing Inequalities Using Interval Notation
Changing Interval Notation to Inequality Notation
Solving Linear Inequalities
Taking on Compound Inequalities
Solving Quadratic Inequalities
Finding Solutions of Nonlinear Inequalities
Rewriting and Solving Absolute Value Inequalities
Delving into Complex Inequalities
Chapter 18: Using Established Formulas
The Problems You’ll Work On
What to Watch Out For
Getting Interested in Interest Problems
Heating It Up with Temperature Problems
Adding up Natural Numbers
Going the Distance with the Distance Formula
Getting the Inside Scoop with Sums of Interior Angles
Averaging Out the Numbers
Summing the Squares of Numbers
Finding the Terms of a Sequence
Adding the Terms in an Arithmetic Sequence
Using the Formula for the Sum of Cubes
Compounding the Problems Involving Compound Interest
Chapter 19: Using Formulas in Geometric Story Problems
The Problems You’ll Work On
What to Watch Out For
Working around the Perimeter of Rectangles
Using the Area Formula for a Trapezoid
Tackling Area and Perimeter of a Square
Solving Problems Using the Perimeter of a Triangle
Working with the Area and Perimeter of a Rectangle
Using the Formula for the Area of a Hexagon
