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Chapter 1: The Set of Real Numbers
1.1 Sets of Numbers and the Real Number Line
1.2 Order of Operations
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers -- Problem Recognition Exercises—Addition and Subtraction of Signed Numbers
1.5 Multiplication and Division of Real Numbers
1.6 Properties of Real Numbers and Simplifying Expressions
Chapter 2: Linear Equations and Inequalities
2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality
2.2 Solving Linear Equations
2.3 Linear Equations: Clearing Fractions and Decimals -- Problem Recognition Exercises—Equations and Expressions
2.4 Applications of Linear Equations: Introduction to Problem Solving
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7Mixture Applications and Uniform Motion
2.8 Linear Inequalities
Chapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line
3.4 Slope-Intercept Form of a Line -- Problem Recognition Exercises—Linear Equations in Two Variables
3.5 Point-Slope Formula
3.6 Applications of Linear Equations
3.7 Introduction to Functions
Chapter 4: Systems of Linear Equations in Two Variables
4.1 Solving Systems of Equations by the Graphing Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method -- Problem Recognition Exercises—Systems of Equations
4.4 Applications of Linear Equations in Two Variables 4.5 Linear Inequalities and Systems of Inequalities in Two Variables
Chapter 5: Polynomials and Properties of Exponents
5.1 Exponents: Multiplying and Dividing Common Bases
5.2 More Properties of Exponents
5.3 Definitions of and
5.4 Scientific Notation -- Problem Recognition Exercises—Properties of Exponents
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials
5.7 Division of Polynomials -- Problem Recognition Exercises—Operations on Polynomials
Chapter 6: Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form
6.3 Factoring Trinomials: Trial-and-Error Method
6.4 Factoring Trinomials: AC-Method
6.5 Factoring Special Patterns
6.6 Sum and Difference of Cubes -- Problem Recognition Exercises—General Factoring Strategy
6.7 Solving Equations Using the Zero Product Rule -- Problem Recognition Exercises—Expressions and Polynomial Equations
6.8Applications of Quadratic Equations
Chapter 7: Rational Expressions
7.1 Introduction to Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions -- Problem Recognition Exercises—Operations on Rational Expressions
7.5 Complex Fractions
7.6 Rational Equations -- Problem Recognition Exercises—Comparing Rational Equations and Rational Expressions
7.7 Applications of Rational Equations and Proportions
7.8 Variation
Chapter 8: Radicals
8.1 Introduction to Roots and Radicals
8.2 Simplifying Radicals
8.3 Addition and Subtraction of Radicals
8.4 Multiplication of Radicals
8.5 Division of Radicals and Rationalization -- Problem Recognition Exercises—Operations on Radicals
8.6 Radical Equations
8.7 Rational Exponents
Chapter 9: More Quadratic Equations
9.1 The Square Root Property
9.2Completing the Square
9.3 Quadratic Formula -- Problem Recognition Exercises—Solving Quadratic Equations
9.4 Graphing Quadratic Functions
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