Cuprins
Hall-Mercer, Beginning & Intermediate Algebra: The Language and Symbolism of Mathematics.
TABLE OF CONTENTS
Chapter One OPERATIONS WITH REAL NUMBERS
1.1The Real Number Line
1.2Addition of Real Numbers
1.3Subtraction of Real Numbers
1.4Multiplication of Real Numbers
1.5Division of Real Numbers
1.6Exponents and Order of Operations
Chapter Group Project
Chapter Two LINEAR EQUATIONS AND PATTERNS
2.1The Rectangular Coordinate System and Arithmetic Sequences
2.2Function Notation and Linear Functions
2.3Graphs of Linear Equations in Two Variables
2.4Solving Linear Equations In One Variable Using the Addition-Subtraction Principle
2.5Solving Linear Equations In One Variable Using the Multiplication-Division Principle
2.6Ratios, Proportions, and Direct Variation
2.7Solving for a Specified Variable
Chapter Group Project
Chapter Three LINES AND SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES
3.1Slope of a Line and Applications of Slope
3.2Special Forms of Linear Equations In Two Variables
3.3Solving Systems of Linear Equations In Two Variables Graphically and Numerically
3.4Solving Systems of Linear Systems In Two Variables by the Substitution Method
3.5Solving Systems of Linear Systems In Two Variables by the Addition Method
3.6More Applications of Linear Systems
Chapter Group Project
Chapter Four LINEAR INEQUALITIES AND SYSTEMS OF LINEAR INEQUALITIES
4.1Solving Linear Inequalities Using the Addition-Subtraction Principle
4.2Solving Linear Inequalities Using the Multiplication-Division Principle
4.3Solving Compound Inequalities
4.4Solving Absolute Value Equations and Inequalities
4.5Graphing Systems of Linear Inequalities
Chapter Group Project
Chapter FiveEXPONENTS AND OPERATIONS WITH POLYNOMIALS
5.1Product and Power Rules for Exponents
5.2Quotient Rule and Zero Exponents
5.3Negative Exponents and Scientific Notation
5.4Adding and Subtracting Polynomials
5.5Multiplying Polynomials
5.6Using Division to Factor Polynomials
5.7Special Products and Factors
Chapter Group Project
Chapter SixUSING COMMON ALGEBRAIC FUNCTIONS
6.1Functions and Representations of Functions
6.2Linear and Absolute Value Functions
6.3Quadratic, Square Root, Cubic and Cube Root Functions
6.4Horizontal and Vertical Translations of Functions (Optional)
6.5Stretching, Shrinking, and Reflecting Graphs of Functions (Optional)
6.6Curve Fitting---Selecting a Formula that Best Fits a Set of Data (Optional)
6.7Linear Factors of a Polynomial, Zeros of a Polynomial Function, and x-intercepts of a Graph
Chapter Group Project
Chapter SevenANOTHER LOOK AT FACTORING POLYNOMIALS
7.1Factoring Trinomials of the Form
7.2Factoring Trinomials of the Form
7.3Factoring Special Forms
7.4Factoring by Grouping and a General Strategy for Factoring Polynomials
7.5Solving Equations by Factoring
Group Project
Chapter EightRADICAL EXPRESSIONS, COMPLEX NUMBERS, AND QUADRATIC EQUATIONS
8.1Rational Exponents and Radicals
8.2Addition of Radical Expressions
8.3Multiplication and Division of Radical Expressions
8.4Complex Numbers
8.5Quadratic Equations and Inequalities
8.6Equations with Radicals
8.7More Applications of Quadratic Equations
Chapter Group Project
Chapter NineRATIONAL FUNCTIONS AND EXPRESSIONS
9.1Rational Functions and Reducing Rational Expressions
9.2Multiplication and Division of Rational Expressions
9.3Addition and Subtraction of Rational Expressions
9.4Combining Operations and Simplifying Complex Rational Expressions
9.5Solving Equations Containing Rational Expressions
9.6Applications Yielding Equations with Fractions
Chapter Group Project
Chapter TenEXPONENTIAL AND LOGARITHMIC FUNCTIONS
10.1Geometric Sequences and Exponential Functions
10.2Inverse Functions
10.3Logarithmic Functions
10.4Evaluating Logarithms
10.5Properties of Logarithms
10.6Exponential and Logarithmic Equations
10.7Applications of Exponential and Logarithmic Equations
Chapter Group Project
Chapter ElevenA PREVIEW OF COLLEGE ALGEBRA
11.1Algebra of Functions
11.2Sequences, Series, and Summation Notation
11.3Solving Systems of Linear Equations Using Augmented Matrices
11.4Systems of Linear Equations in Three Variables
11.5Conic Sections
