# Beginning and Intermediate Algebra: The Language & Symbolism of Mathematics

3^{rd}Edition

ISBN10: 0077350049

ISBN13: 9780077350048

Copyright: 2011

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ISBN10: 0077350049 | ISBN13: 9780077350048

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

### 1 Operations with Real Numbers and a Review of Geome

#### 1.1 Preparing for an Algebra Class

#### 1.2 The Real Number Line

#### 1.3 Addition of Real Numbers

#### 1.4 Subtraction of Real Numbers

#### 1.5 Multiplication of Real Numbers and Natural Number Exponents

#### 1.6 Division of Real Numbers

#### 1.7 Order of Operations

### 2 Linear Equations and Patterns

#### 2.1 The Rectangular Coordinate System and Arithmetic Sequences

#### 2.2 Function Notation and Linear Functions

#### 2.3 Graphs of Linear Equations in Two Variables

#### 2.4 Solving Linear Equations in One Variable by Using the Addition-Subtraction Principle

#### 2.5 Solving Linear Equations in One Variable by Using the Multiplication-Division Principle

#### 2.6 Using and Rearranging Formulas

#### 2.7 Proportions and Direct Variation

#### 2.8 More Applications of Linear Equations

### 3 Lines and Systems of Linear Equations in Two Variables

#### 3.1 Slope of a Line and Applications of Slope

#### 3.2 Special Forms of Linear Equations in Two Variables

#### 3.3 Solving Systems of Linear Equations in Two Variables Graphically and Numerically

#### 3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method

#### 3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method

#### 3.6 More Applications of Linear Systems

Cumulative Review of Chapters 1-3### 4 Linear Inequalities and Systems of Linear Inequalities

#### 4.1 Solving Linear Inequalities by Using the Addition-Subtraction Principle

#### 4.2 Solving Linear Inequalities by Using the Multiplication-Divison Principle

#### 4.3 Solving Compound Inequalities

#### 4.4 Solving Absolute Value Equations and Inequalities

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

### 5 Exponents and Operations with Polynomials

#### 5.1 Product and Power Rules for Exponents

#### 5.2 Quotient Rule and Zero Exponents

#### 5.3 Negative Exponents and Scientific Notation

#### 5.4 Adding and Subtracting Polynomials

#### 5.5 Multiplying Polynomials

#### 5.6 Special Products of Binomials

#### 5.7 Dividing Polynomials

Diagonostic Review of Beginning Algebra### 6 Factoring Polynomials

#### 6.1 An Introduction to Factoring Polynomials

#### 6.2 Factoring Trinomials of the Form x2 + bxy + cy2

#### 6.3 Factoring Trinomials of the Form ax2 + bxy + cy2

#### 6.4 Factoring Special Forms

#### 6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials

#### 6.6 Solving Equations by Factoring

### 7 Solving Quadratic Equations

### 8 Functions: Linear, Absolute Value, and Quadratic

#### 8.1 Functions and Representations of Functions

#### 8.2 Linear and Absolute Value Functions

#### 8.3 Linear and Quadratic Functions and Curve Fitting

#### 8.4 Using the Quadratic Formula to find Real Solutions

#### 8.5 The Vertex of a Parabola and Max-Min Applications

#### 8.6 More Applications of Quadratic Equations

#### 8.7 Complex Numbers and Solving Quadratic Equations with Complex Solutions

### 9 Rational Functions

#### 9.1 Graphs of Rational Functions and Reducing Rational Expressions

#### 9.2 Multiplying and Dividing Rational Expressions

#### 9.3 Adding and Subtracting Rational Expressions

#### 9.4 Combining Operations and Simplifying Complex Rational Expressions

#### 9.5 Solving Equations Containing Rational Expressions

#### 9.6 Inverse and Joint Variation and Other Applications Yielding Equations with Fractions

Cumulative Review of Chapters 1-8### 10 Square Root and Cube Root Functions and Rational Exponents

#### 10.1 Evaluating Radical Expressions and Graphs of Square Root and Cube Root Functions

#### 10.2 Adding and Subtracting Radical Expressions

#### 10.3 Multiplying and Dividing Radical Expressions

#### 10.4 Solving Equations Containing Radical Expressions

#### 10.5 Rational Exponents and Radicals

### 11 Exponential and Logarithmic Functions

#### 11.1 Geometric Sequences Graphs of Exponential Functions

#### 11.2 Inverse Functions

#### 11.3 Logarithmic Functions

#### 11.4 Evaluating Logarithms

#### 11.5 Properties of Logarithms

#### 11.6 Solving Exponential and Logarithmic Equations

#### 11.7 Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations

Cumulative Review of Chapters 1-10### 12 A Preview of College Algebra

#### 12.1 Solving Systems of Linear Equations by Using Augmented Matrices

#### 12.2 Systems of Linear Equations in Three Variables

#### 12.3 Horizontal and Vertical Translations of the Graphs of Functions

#### 12.4 Stretching, Shrinking and Reflecting Graphs of Functions

#### 12.5 Algebra of Functions

#### 12.6 Sequences, Series and Summation Notation

#### 12.7 Conic Sections

### 1 Operations with Real Numbers and a Review of Geome

#### 1.1 Preparing for an Algebra Class

#### 1.2 The Real Number Line

#### 1.3 Addition of Real Numbers

#### 1.4 Subtraction of Real Numbers

#### 1.5 Multiplication of Real Numbers and Natural Number Exponents

#### 1.6 Division of Real Numbers

#### 1.7 Order of Operations

### 2 Linear Equations and Patterns

#### 2.1 The Rectangular Coordinate System and Arithmetic Sequences

#### 2.2 Function Notation and Linear Functions

#### 2.3 Graphs of Linear Equations in Two Variables

#### 2.4 Solving Linear Equations in One Variable by Using the Addition-Subtraction Principle

#### 2.5 Solving Linear Equations in One Variable by Using the Multiplication-Division Principle

#### 2.6 Using and Rearranging Formulas

#### 2.7 Proportions and Direct Variation

#### 2.8 More Applications of Linear Equations

### 3 Lines and Systems of Linear Equations in Two Variables

#### 3.1 Slope of a Line and Applications of Slope

#### 3.2 Special Forms of Linear Equations in Two Variables

#### 3.3 Solving Systems of Linear Equations in Two Variables Graphically and Numerically

#### 3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method

#### 3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method

#### 3.6 More Applications of Linear Systems

Cumulative Review of Chapters 1-3### 4 Linear Inequalities and Systems of Linear Inequalities

#### 4.1 Solving Linear Inequalities by Using the Addition-Subtraction Principle

#### 4.2 Solving Linear Inequalities by Using the Multiplication-Divison Principle

#### 4.3 Solving Compound Inequalities

#### 4.4 Solving Absolute Value Equations and Inequalities

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

### 5 Exponents and Operations with Polynomials

#### 5.1 Product and Power Rules for Exponents

#### 5.2 Quotient Rule and Zero Exponents

#### 5.3 Negative Exponents and Scientific Notation

#### 5.4 Adding and Subtracting Polynomials

#### 5.5 Multiplying Polynomials

#### 5.6 Special Products of Binomials

#### 5.7 Dividing Polynomials

Diagonostic Review of Beginning Algebra### 6 Factoring Polynomials

#### 6.1 An Introduction to Factoring Polynomials

#### 6.2 Factoring Trinomials of the Form x2 + bxy + cy2

#### 6.3 Factoring Trinomials of the Form ax2 + bxy + cy2

#### 6.4 Factoring Special Forms

#### 6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials

#### 6.6 Solving Equations by Factoring

### 7 Solving Quadratic Equations

### 8 Functions: Linear, Absolute Value, and Quadratic

#### 8.1 Functions and Representations of Functions

#### 8.2 Linear and Absolute Value Functions

#### 8.3 Linear and Quadratic Functions and Curve Fitting

#### 8.4 Using the Quadratic Formula to find Real Solutions

#### 8.5 The Vertex of a Parabola and Max-Min Applications

#### 8.6 More Applications of Quadratic Equations

#### 8.7 Complex Numbers and Solving Quadratic Equations with Complex Solutions

### 9 Rational Functions

#### 9.1 Graphs of Rational Functions and Reducing Rational Expressions

#### 9.2 Multiplying and Dividing Rational Expressions

#### 9.3 Adding and Subtracting Rational Expressions

#### 9.4 Combining Operations and Simplifying Complex Rational Expressions

#### 9.5 Solving Equations Containing Rational Expressions

#### 9.6 Inverse and Joint Variation and Other Applications Yielding Equations with Fractions

Cumulative Review of Chapters 1-8### 10 Square Root and Cube Root Functions and Rational Exponents

#### 10.1 Evaluating Radical Expressions and Graphs of Square Root and Cube Root Functions

#### 10.2 Adding and Subtracting Radical Expressions

#### 10.3 Multiplying and Dividing Radical Expressions

#### 10.4 Solving Equations Containing Radical Expressions

#### 10.5 Rational Exponents and Radicals

### 11 Exponential and Logarithmic Functions

#### 11.1 Geometric Sequences Graphs of Exponential Functions

#### 11.2 Inverse Functions

#### 11.3 Logarithmic Functions

#### 11.4 Evaluating Logarithms

#### 11.5 Properties of Logarithms

#### 11.6 Solving Exponential and Logarithmic Equations

#### 11.7 Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations

Cumulative Review of Chapters 1-10### 12 A Preview of College Algebra

#### 12.1 Solving Systems of Linear Equations by Using Augmented Matrices

#### 12.2 Systems of Linear Equations in Three Variables

#### 12.3 Horizontal and Vertical Translations of the Graphs of Functions

#### 12.4 Stretching, Shrinking and Reflecting Graphs of Functions

#### 12.5 Algebra of Functions

#### 12.6 Sequences, Series and Summation Notation

#### 12.7 Conic Sections

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