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Author Bio
McKeague, Charles P. : Cuesta College
Preface to the Instructor
Preface to the Student
1. THE BASICS
Notation and Symbols
Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Properties of Real Numbers
Multiplication of Real Numbers
Division of Real Numbers
Subsets of Real Numbers
Summary
Review
Test
Projects
2. LINEAR EQUATIONS AND INEQUALITIES
Simplifying Expressions
Addition Property of Equality
Multiplication Property of Equality
Solving Linear Equations
Formulas
Applications
More Applications
Linear Inequalities
Summary
Review
Cumulative Review
Test
Projects
3. GRAPHING AND LINEAR SYSTEMS
Paired Data and Graphing Ordered Pairs
Solutions to Linear Equations in Two Variables
Graphing Linear Equations in Two Variables
More on Graphing: Intercepts
Solving Linear Systems by Graphing
The Addition Method
Applications
Summary
Review
Cumulative Review
Test
Projects
4. EXPONENTS AND POLYNOMIALS
Multiplication with Exponents
Division with Exponents
Operations with Monomials
Addition and Subtraction of Polynomials
Multiplication with Polynomials
Binomial Squares and Other Special Products
Dividing a Polynomial by a Monomial
Dividing a Polynomial by a Polynomial
Summary
Review
Cumulative Review
Test
Projects
5. FACTORING
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials
More Trinomials to Factor
The Difference of Two Squares
Factoring: A General Review
Solving Equations by Factoring
Applications
Summary
Review
Cumulative Review
Test
Projects
6. RATIONAL EXPRESSIONS
Reducing Rational Expressions to Lowest Terms
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Equations Involving Rational Expressions
Applications
Complex Fractions
Proportions
Summary
Review
Cumulative Review
Test
Projects
7. TRANSITIONS
Review of Solving Equations
Equations with Absolute Value
Compound Inequalities and Interval Notation
Inequalities Involving Absolute Value
Factoring the Sum and Difference of Two Cubes
Review of Systems of Equations in Two Variables
Systems of Equations in Three Variables
Summary
Review
Cumulative Review
Test
Projects
8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES
The Slope of a Line
The Equation of a Line
Linear Inequalities in Two Variables
Introduction to Functions
Function Notation
Algebra with Functions
Variation
Summary
Review
Cumulative Review
Test
Projects
9. RATIONAL EXPONENTS AND ROOTS
Rational Exponents
More Expressions Involving Rational Exponents
Simplified Form for Radicals
Addition and Subtraction of Radical Expressions
Multiplication and Division of Radical Expressions
Equations with Radicals
Complex Numbers
Summary
Review
Cumulative Review
Test
Projects
10. QUADRATIC EQUATIONS
Completing the Square
The Quadratic Formula
Additional Items Involving Solutions to Equations
Equations in Quadratic Form
Graphing Parabolas
Quadratic Inequalities
Summary
Review
Cumulative Review
Test
Projects
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponential Functions
The Inverse of a Function
Logarithms are Exponents
Properties of Logarithms
Common Logarithms and Natural Logarithms
Exponential Equations and Change of Base
Summary
Review
Cumulative Review
Test
Projects
12. CONIC SECTIONS
The Circle
Ellipses and Hyperbolas
Second-degree Inequalities and Nonlinear Systems
Summary
Review
Cumulative Review
Test
Projects
Author Bio
McKeague, Charles P. : Cuesta College
Table of Contents
Preface to the Instructor
Preface to the Student
1. THE BASICS
Notation and Symbols
Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Properties of Real Numbers
Multiplication of Real Numbers
Division of Real Numbers
Subsets of Real Numbers
Summary
Review
Test
Projects
2. LINEAR EQUATIONS AND INEQUALITIES
Simplifying Expressions
Addition Property of Equality
Multiplication Property of Equality
Solving Linear Equations
Formulas
Applications
More Applications
Linear Inequalities
Summary
Review
Cumulative Review
Test
Projects
3. GRAPHING AND LINEAR SYSTEMS
Paired Data and Graphing Ordered Pairs
Solutions to Linear Equations in Two Variables
Graphing Linear Equations in Two Variables
More on Graphing: Intercepts
Solving Linear Systems by Graphing
The Addition Method
Applications
Summary
Review
Cumulative Review
Test
Projects
4. EXPONENTS AND POLYNOMIALS
Multiplication with Exponents
Division with Exponents
Operations with Monomials
Addition and Subtraction of Polynomials
Multiplication with Polynomials
Binomial Squares and Other Special Products
Dividing a Polynomial by a Monomial
Dividing a Polynomial by a Polynomial
Summary
Review
Cumulative Review
Test
Projects
5. FACTORING
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials
More Trinomials to Factor
The Difference of Two Squares
Factoring: A General Review
Solving Equations by Factoring
Applications
Summary
Review
Cumulative Review
Test
Projects
6. RATIONAL EXPRESSIONS
Reducing Rational Expressions to Lowest Terms
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Equations Involving Rational Expressions
Applications
Complex Fractions
Proportions
Summary
Review
Cumulative Review
Test
Projects
7. TRANSITIONS
Review of Solving Equations
Equations with Absolute Value
Compound Inequalities and Interval Notation
Inequalities Involving Absolute Value
Factoring the Sum and Difference of Two Cubes
Review of Systems of Equations in Two Variables
Systems of Equations in Three Variables
Summary
Review
Cumulative Review
Test
Projects
8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES
The Slope of a Line
The Equation of a Line
Linear Inequalities in Two Variables
Introduction to Functions
Function Notation
Algebra with Functions
Variation
Summary
Review
Cumulative Review
Test
Projects
9. RATIONAL EXPONENTS AND ROOTS
Rational Exponents
More Expressions Involving Rational Exponents
Simplified Form for Radicals
Addition and Subtraction of Radical Expressions
Multiplication and Division of Radical Expressions
Equations with Radicals
Complex Numbers
Summary
Review
Cumulative Review
Test
Projects
10. QUADRATIC EQUATIONS
Completing the Square
The Quadratic Formula
Additional Items Involving Solutions to Equations
Equations in Quadratic Form
Graphing Parabolas
Quadratic Inequalities
Summary
Review
Cumulative Review
Test
Projects
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponential Functions
The Inverse of a Function
Logarithms are Exponents
Properties of Logarithms
Common Logarithms and Natural Logarithms
Exponential Equations and Change of Base
Summary
Review
Cumulative Review
Test
Projects
12. CONIC SECTIONS
The Circle
Ellipses and Hyperbolas
Second-degree Inequalities and Nonlinear Systems
Summary
Review
Cumulative Review
Test
Projects