โ Scribed by Bobson Wong; Larisa Bukalov; Steve Slavin
No coin nor oath required. For personal study only.
The most practical, complete, and accessible guide for understanding algebra If you want to make sense of algebra, check out Practical Algebra: A Self-Teaching Guide. Written by two experienced classroom teachers, this Third Edition is completely revised to align with the Common Core Algebra I math standards used in many states. Youโll get an overview of solving linear and quadratic equations, using ratios and proportions, decoding word problems, graphing and interpreting functions, modeling the real world with statistics, and other concepts found in todayโs algebra courses. This book also contains a brief review of pre-algebra topics, including arithmetic and fractions. It has concrete strategies that help diverse students to succeed, such as: over 500 images and tables that illustrate important concepts over 200 model examples with complete solutions almost 1,500 exercises with answers so you can monitor your progress Practical Algebra emphasizes making connections to what you already know and what youโll learn in the future. Youโll learn to see algebra as a logical and consistent system of ideas and see how it connects to other mathematical topics. This book makes math more accessible by treating it as a language. It has tips for pronouncing and using mathematical notation, a glossary of commonly used terms in algebra, and a glossary of symbols. Along the way, youโll discover how different cultures around the world over thousands of years developed many of the mathematical ideas we use today. Since students nowadays can use a variety of tools to handle complex modeling tasks, this book contains technology tips that apply no matter what device youโre using. It also describes strategies for avoiding common mistakes that students make. By working through Practical Algebra, youโll learn straightforward techniques for solving problems, and understand why these techniques work so youโll retain what youโve learned. You (or your students) will come away with better scores on algebra tests and a greater confidence in your ability to do math.
Cover
Title Page
Copyright Page
Contents
Acknowledgments
Introduction
Chapter 1 Basic Concepts
1.1 Addition, Subtraction, Multiplication, Division
Exercises
Questions to Think About
1.2 Order of Operations
Exercises
Questions to Think About
1.3 Sets and Properties of Numbers
Exercises
Questions to Think About
Chapter 1 Test
Chapter 1 Solutions
Chapter 1 Test Solutions
Chapter 2 Fractions
2.1 Basic Operations
Exercises
Questions to Think About
2.2 Simplifying Fractions
Exercises
Questions to Think About
Chapter 2 Test
Chapter 2 Solutions
Chapter 2 Test Solutions
Chapter 3 Linear Equations
3.1 Solving OneโStep Equations
Exercises
Questions to Think About
3.2 Solving TwoโStep Equations
Exercises
3.3 Translating Between Words and Symbols
Exercises
Questions to Think About
3.4 Solving Word Problems
Exercises
3.5 Equations with Like Terms
Exercises
Questions to Think About
3.6 Equations with Variables on Both Sides
Exercises
Questions to Think About
3.7 Equations with Parentheses
Exercises
Questions to Think About
3.8 Using Tables to Solve Word Problems Involving Values
Exercises
3.9 Transforming Formulas
Exercises
Chapter 3 Test
Chapter 3 Solutions
Chapter 3 Test Solutions
Chapter 4 Ratios and Proportions
4.1 Expressing Ratios in Simplest Form
Exercises
4.2 Using Ratios in the Real World
Exercises
4.3 Proportions and Equations with Fractions
Exercises
Questions to Think About
4.4 Converting Units
Exercises
4.5 Percents
Exercises
Chapter 4 Test
Chapter 4 Solutions
Chapter 4 Test Solutions
Chapter 5 Linear Inequalities
5.1 Basic Principles of Solving Inequalities
Exercises
5.2 Representing Inequalities
Exercises
Questions to Think About
5.3 Solving Linear Inequalities
Exercises
5.4 Compound Inequalities
Exercises
Questions to Think About
5.5 Word Problems with Inequalities
Exercises
Chapter 5 Test
Chapter 5 Solutions
Chapter 5 Test Solutions
Chapter 6 Functions and Graphs with Two Variables
6.1 Functions and Function Notation
Exercises
Questions to Think About
6.2 Introduction to Graphing
Exercises
6.3 Characteristics of Graphs
Exercises
Questions to Think About
6.4 Evaluating Functions from Equations and Graphs
Exercises
Chapter 6 Test
Chapter 6 Solutions
Chapter 6 Test Solutions
Chapter 7 Linear Functions and Their Graphs
7.1 Introduction to Linear Functions
Exercises
Questions to Think About
7.2 Slope Formula
Exercises
Questions to Think About
7.3 Determining If an Ordered Pair Is a Solution to an Equation
Exercises
Questions to Think About
7.4 Writing the Equation of a Line
Exercises
Questions to Think About
7.5 Solving Systems of Linear Equations by Graphing
Exercises
Questions to Think About
7.6 Solving Systems of Linear Equations by Substitution
Exercises
7.7 Solving Systems of Linear Equations by Elimination
Exercises
Questions to Think About
7.8 Solving Systems of Linear Inequalities
Exercises
Questions to Think About
7.9 Word Problems with Systems of Linear Equations and Inequalities
Exercises
Chapter 7 Test
Review Test 1: Chapters 1โ7
Chapter 7 Solutions
Chapter 7 Test Solutions
Review Test 1 Solutions
Chapter 8 Operations with Polynomials
8.1 Adding and Subtracting Polynomials
Exercises
Questions to Think About
8.2 Multiplying Monomials: Rules of Exponents
Exercises
8.3 Dividing Monomials: Rules of Exponents
Exercises
8.4 Multiplying Polynomials
Exercises
Questions to Think About
8.5 Dividing Polynomials
Exercises
Questions to Think About
Chapter 8 Test
Chapter 8 Solutions
Chapter 8 Test Solutions
Chapter 9 Quadratic Functions
9.1 Factoring a Monomial from a Polynomial
Exercises
Questions to Think About
9.2 Factoring by Grouping
Exercises
Questions to Think About
9.3 Factoring Trinomials
Exercises
Questions to Think About
9.4 Special Cases of Factoring
Exercises
Questions to Think About
9.5 Solving Quadratic Equations by Factoring
Exercises
Questions to Think About
9.6 Radical Expressions
Exercises
Questions to Think About
9.7 Solving Quadratic Equations by Completing the Square
Exercises
Questions to Think About
9.8 Solving Quadratic Equations Using the Quadratic Formula
Exercises
Questions to Think About
9.9 Graphing Quadratic Functions
Exercises
Questions to Think About
9.10 Solving Quadratic Equations by Graphing
Exercises
Questions to Think About
9.11 Solving Quadratic Equations by the MeanโProduct Method
Exercises
Questions to Think About
9.12 Solving QuadraticโLinear Systems
Exercises
Questions to Think About
9.13 Using Quadratic Equations to Solve Word Problems
Exercises
Chapter 9 Test
Chapter 9 Solutions
Chapter 9 Test Solutions
Chapter 10 Exponential Functions
10.1 Graphing Exponential Functions
Exercises
Questions to Think About
10.2 Using Exponential Functions to Solve Word Problems
Exercises
Chapter 10 Test
Chapter 10 Solutions
Chapter 10 Test Solutions
Chapter 11 Sequences
11.1 Writing Recursive Formulas for Sequences
Exercises
Questions to Think About
11.2 Writing Explicit Formulas for Arithmetic and Geometric Sequences
Exercises
Questions to Think About
11.3 Modeling with Sequences
Exercises
Chapter 11 Test
Chapter 11 Solutions
Chapter 11 Test Solutions
Chapter 12 Summary of Functions
12.1 Cubic, Square Root, and Cube Root Functions
Exercises
Questions to Think About
12.2 Piecewise Functions
Exercises
12.3 Transformations of Functions
Exercises
Questions to Think About
12.4 Average Rate of Change of Functions
Exercises
12.5 Comparing Functions
Exercises
Chapter 12 Test
Chapter 12 Solutions
Chapter 12 Test Solutions
Chapter 13 Statistics
13.1 TwoโWay Tables
Exercises
13.2 Dotplots and Histograms
Exercises
Questions to Think About
13.3 Shape, Center, and Spread
Exercises
Questions to Think About
13.4 Scatterplots and Regression
Exercises
Questions to Think About
Chapter 13 Test
Review Test 2: Chapters 8โ13
Chapter 13 Solutions
Chapter 13 Test Solutions
Review Test 2 Solutions
Formulas
Glossary of Mathematical Symbols
Glossary of Mathematical Terms
About the Authors
Index
EULA
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