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- ISBN: 9781259610257 | 125961025X
- Cover: Hardcover
- Copyright: 2/1/2017

# Beginning Algebra, Miller, O'Neill, Hyde, 4 edition

### Chapter 1: The Set of Real Numbers

#### 1.1Fractions

#### 1.2Introduction to Algebra and the Set of Real Numbers

#### 1.3Exponents, Square Roots, and the Order of Operations

#### 1.4Addition of Real Numbers

#### 1.5Subtraction of Real Numbers

Problem Recognition Exercises—Addition and Subtraction of Real Numbers

#### 1.6Multiplication and Division of Real Numbers

Problem Recognition Exercises—Adding, Subtracting, Multiplying, and Dividing Real Numbers

#### 1.7Properties of Real Numbers and Simplifying Expressions

### Chapter 2:Linear Equations and Inequalities

#### 2.1Addition, Subtraction, Multiplication, and Division Properties of Equality

#### 2.2Solving Linear Equations

#### 2.3Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises—Equations vs.Expressions

#### 2.4Applications of Linear Equations: Introduction to Problem Solving

#### 2.5Applications Involving Percents

#### 2.6Formulas and Applications of Geometry

#### 2.7Mixture Applications and Uniform Motion

#### 2.8Linear Inequalities

### Chapter 3:Graphing Linear Equations in Two Variables

#### 3.1Rectangular Coordinate System

#### 3.2Linear Equations in Two Variables

#### 3.3Slope of a Line and Rate of Change

#### 3.4Slope-Intercept Form of a Linear Equation

Problem Recognition Exercises—Linear Equations in Two Variables

#### 3.5Point-Slope Formula

#### 3.6Applications of Linear Equations and Modeling

### Chapter 4:Systems of Linear Equations in Two Variables

#### 4.1Solving Systems of Equations by the Graphing Method

#### 4.2Solving Systems of Equations by the Substitution Method

#### 4.3Solving Systems of Equations by the Addition Method

Problem Recognition Exercises—Systems of Equations

#### 4.4Applications of Linear Equations in Two Variables

#### 4.5Linear Inequalities and Systems of Inequalities in Two Variables

### Chapter 5:Polynomials and Properties of Exponents

#### 5.1Multiplying and Dividing Expressions with Common Bases

#### 5.2More Properties of Exponents

#### 5.3Definitions of and Problem Recognition Exercises—Properties of Exponents

#### 5.4Scientific Notation

#### 5.5Addition and Subtraction of Polynomials

#### 5.6Multiplication of Polynomials and Special Products

#### 5.7Division of Polynomials

Problem Recognition Exercises—Operations on Polynomials

### Chapter 6:Factoring Polynomials

#### 6.1Greatest Common Factor and Factoring by Grouping

#### 6.2Factoring Trinomials of the Form x^2 + bx + c

#### 6.3Factoring Trinomials: Trial-and-Error Method

#### 6.4Factoring Trinomials: AC-Method

#### 6.5Difference of Squares and Perfect Square Trinomials

#### 6.6Sum and Difference of Cubes

Problem Recognition Exercises—Factoring Strategy

#### 6.7Solving Equations Using the Zero Product Rule

Problem Recognition Exercises— Polynomial Expressions versus Polynomial Equations

#### 6.8Applications of Quadratic Equations

### Chapter 7:Rational Expressions and Equations

#### 7.1Introduction to Rational Expressions

#### 7.2Multiplication and Division of Rational Expressions

#### 7.3Least Common Denominator

#### 7.4Addition and Subtraction of Rational Expressions

Problem Recognition Exercises—Operations on Rational Expressions

#### 7.5Complex Fractions

#### 7.6Rational Equations

Problem Recognition Exercises—Comparing Rational Equations and Rational Expressions

#### 7.7Applications of Rational Equations and Proportions

#### 7.8Variation

### Chapter 8:Radicals

#### 8.1Introduction to Roots and Radicals

#### 8.2Simplifying Radicals

#### 8.3Addition and Subtraction of Radicals

#### 8.4Multiplication of Radicals

#### 8.5Division of Radicals and Rationalization

Problem Recognition Exercises—Operations on Radicals

#### 8.6Radical Equations

#### 8.7Rational Exponents

### Chapter 9:Quadratic Equations, Complex Numbers, and Functions

#### 9.1The Square Root Property

#### 9.2Completing the Square

#### 9.3Quadratic Formula

Problem Recognition Exercises—Solving Different Types of Equations