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

9.4Complex Numbers

9.5Graphing Quadratic Equations

9.6Introduction to Functions

Additional Topics Appendix

A.1Decimals and Percents

A.2Mean, Median, and Mode

A.3Introduction to Geometry

A.4Converting Units of Measurement

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