Introductory Algebra prepares students for Intermediate Algebra by covering fundamental algebra concepts and key concepts needed for further study. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master algebra in the real world.
Table of Contents
R PREALGEBRA REVIEW
R1 Fractions
R2 Operations with Fractions
R3 Decimals and Percents
1 REAL NUMBERS AND THEIR PROPERTIES
1.1 Introduction to Algebra
1.2 The Real Numbers
1.3 Adding and Subtracting Real Numbers
1.4 Multiplying and Dividing Real Numbers
1.5 Order of Operations
1.6 Properties of the Real Numbers
1.7 Simplifying Expressions
2 EQUATIONS, PROBLEM SOLVING, AND INEQUALITIES
2.1 The Addition and Subtraction Properties of Equality
2.2 The Multiplication and Division Properties of Equality: Applications with Percents
2.3 Linear and Literal Equations
2.4 Problem Solving: Integers, General, and Geometry Problems
2.5 Problem Solving: Motion, Mixture, and Investment Problems
2.6 Formulas and Geometry Applications
2.7 Properties of Inequalities
3 GRAPHS OF LINEAR EQUATIONS
3.1 Graphs and Applications
3.2 Graphing Linear Equations in Two Variables
3.3 Graphing Lines Using Intercepts
3.4 The Slope of a Line
4 EXPONENTS AND POLYNOMIALS
4.1 The Product, Quotient, and Power Rules for Exponents
4.2 Integer Exponents
4.3 Applications of Exponents: Scientific Notation
4.4 Polynomials: An Introduction
4.5 Addition and Subtraction of Polynomials
4.6 Multiplication of Polynomials
4.7 Special Products of Polynomials
4.8 Division of Polynomials
5 FACTORING
5.1 Common Factors and Grouping
5.2 Factoring x^2 + bx + c
5.3 Factoring ax^2 + bx + c, a 1
5.4 Factoring Squares of Binomials
5.5 A General Factoring Strategy
5.6 Solving Quadratic Equations by Factoring
5.7 Applications of Quadratics
6 RATIONAL EXPRESSIONS AND EQUATIONS
6.1 Building and Reducing Rational Expressions
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions