Practical Algebra: A Self-Teaching Guide

Table of Contents
COVER
TITLE PAGE
COPYRIGHT
ACKNOWLEDGMENTS
INTRODUCTION
1 BASIC CONCEPTS
1.1 Addition, Subtraction, Multiplication, Division
1.2 Order of Operations
1.3 Sets and Properties of Numbers
CHAPTER 1 TEST
CHAPTER 1 SOLUTIONS
CHAPTER 1 TEST SOLUTIONS
2 FRACTIONS
2.1 Basic Operations
2.2 Simplifying Fractions
CHAPTER 2 TEST
CHAPTER 2 SOLUTIONS
CHAPTER 2 TEST SOLUTIONS
3 LINEAR EQUATIONS
3.1 Solving One-Step Equations
3.2 Solving Two-Step Equations
3.3 Translating Between Words and Symbols
3.4 Solving Word Problems
3.5 Equations with Like Terms
3.6 Equations with Variables on Both Sides
3.7 Equations with Parentheses
3.8 Using Tables to Solve Word Problems Involving Values
3.9 Transforming Formulas
CHAPTER 3 TEST
CHAPTER 3 SOLUTIONS
CHAPTER 3 TEST SOLUTIONS
4 RATIOS AND PROPORTIONS
4.1 Expressing Ratios in Simplest Form
4.2 Using Ratios in the Real World
4.3 Proportions and Equations with Fractions
4.4 Converting Units
4.5 Percents
CHAPTER 4 TEST
CHAPTER 4 SOLUTIONS
CHAPTER 4 TEST SOLUTIONS
5 LINEAR INEQUALITIES
5.1 Basic Principles of Solving Inequalities
5.2 Representing Inequalities
5.3 Solving Linear Inequalities
5.4 Compound Inequalities
5.5 Word Problems with Inequalities
CHAPTER 5 TEST
CHAPTER 5 SOLUTIONS
CHAPTER 5 TEST SOLUTIONS
6 FUNCTIONS AND GRAPHS WITH TWO VARIABLES
6.1 Functions and Function Notation
6.2 Introduction to Graphing
6.3 Characteristics of Graphs
6.4 Evaluating Functions from Equations and Graphs
CHAPTER 6 TEST
CHAPTER 6 SOLUTIONS
CHAPTER 6 TEST SOLUTIONS
7 LINEAR FUNCTIONS AND THEIR GRAPHS
7.1 Introduction to Linear Functions
7.2 Slope Formula
7.3 Determining If an Ordered Pair Is a Solution to an Equation
7.4 Writing the Equation of a Line
7.5 Solving Systems of Linear Equations by Graphing
7.6 Solving Systems of Linear Equations by Substitution
7.7 Solving Systems of Linear Equations by Elimination
7.8 Solving Systems of Linear Inequalities
7.9 Word Problems with Systems of Linear Equations and Inequalities
CHAPTER 7 TEST
REVIEW TEST 1: CHAPTERS 1–7
CHAPTER 7 SOLUTIONS
CHAPTER 7 TEST SOLUTIONS
REVIEW TEST 1 SOLUTIONS
8 OPERATIONS WITH POLYNOMIALS
8.1 Adding and Subtracting Polynomials
8.2 Multiplying Monomials: Rules of Exponents
8.3 Dividing Monomials: Rules of Exponents
8.4 Multiplying Polynomials
8.5 Dividing Polynomials
CHAPTER 8 TEST
CHAPTER 8 SOLUTIONS
CHAPTER 8 TEST SOLUTIONS
9 QUADRATIC FUNCTIONS
9.1 Factoring a Monomial from a Polynomial
9.2 Factoring by Grouping
9.3 Factoring Trinomials
9.4 Special Cases of Factoring
9.5 Solving Quadratic Equations by Factoring
9.6 Radical Expressions
9.7 Solving Quadratic Equations by Completing the Square
9.8 Solving Quadratic Equations Using the Quadratic Formula
9.9 Graphing Quadratic Functions
9.10 Solving Quadratic Equations by Graphing
9.11 Solving Quadratic Equations by the Mean-Product Method
9.12 Solving Quadratic-Linear Systems
9.13 Using Quadratic Equations to Solve Word Problems
CHAPTER 9 TEST
CHAPTER 9 SOLUTIONS
CHAPTER 9 TEST SOLUTIONS
10 EXPONENTIAL FUNCTIONS
10.1 Graphing Exponential Functions
10.2 Using Exponential Functions to Solve Word Problems
CHAPTER 10 TEST
CHAPTER 10 SOLUTIONS
CHAPTER 10 TEST SOLUTIONS
11 SEQUENCES
11.1 Writing Recursive Formulas for Sequences
11.2 Writing Explicit Formulas for Arithmetic and Geometric Sequences
11.3 Modeling with Sequences
CHAPTER 11 TEST
CHAPTER 11 SOLUTIONS
CHAPTER 11 TEST SOLUTIONS
12 SUMMARY OF FUNCTIONS
12.1 Cubic, Square Root, and Cube Root Functions
12.2 Piecewise Functions
12.3 Transformations of Functions
12.4 Average Rate of Change of Functions
12.5 Comparing Functions
CHAPTER 12 TEST
CHAPTER 12 SOLUTIONS
CHAPTER 12 TEST SOLUTIONS
13 STATISTICS
13.1 Two-Way Tables
13.2 Dotplots and Histograms
13.3 Shape, Center, and Spread
13.4 Scatterplots and Regression
CHAPTER 13 TEST
REVIEW TEST 2: CHAPTERS 8–13
CHAPTER 13 SOLUTIONS
CHAPTER 13 TEST SOLUTIONS
REVIEW TEST 2 SOLUTIONS
FORMULAS
Linear Equations
Exponents
Radicals
Quadratic Equations
Exponential Equations
Sequences
Functions
Statistics
GLOSSARY OF MATHEMATICAL SYMBOLS
Basic Operations
Ratios and Proportions
Polynomial and Radical Expressions
Equations and Inequalities
Functions and Graphs
Statistics
GLOSSARY OF MATHEMATICAL TERMS
ABOUT THE AUTHORS
INDEX
END USER LICENSE AGREEMENT