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Connections to Algebra
Chapter Overview
Numbers and Number Operations
Variables in Algebra
Mixed Review
Exponents and Powers
Programming a Calculator
Order of Operations
Career Interview: Medical Technologist
Mid-Chapter Self-Test
Equations and Inequalities
Verbal Models and Algebraic Models
Mixed Review
A Problem-Solving Plan
The Problem-Solving Process: Developing Strategies
Exploring Data: Tables and Graphs
Chapter Summary
Chapter Review
Chapter Test Rules of Algebra
Chapter Overview
The Real Number Line
Addition of Real Numbers
Mixed Review
Milestones: Origins of Algebra
Subtraction of Real Numbers
Exploring Data: Matrices
Programming a Calculator
Mid-Chapter Self-Test
Multiplication of Real Numbers
The Distributive Property
Mixed Review
Division of Real Numbers
Exploring Data: Rates and Ratios
Chapter Summary
Chapter Review
Chapter Test
Solving Linear Equations
Chapter Overview
Solving Equations Using One Transformation
Solving Equations Using Two or More Transformations
Solving Equations with Variables on Both Sides
Mixed Review
Linear Equations and Problem Solving
Career Interview: Picture Framer
Mid-Chapter Self-Test
Solving Equations That Involve Decimals
Literal Equations and Formulas
Mixed Review
Exploring Data: Scatter Plots
Using a Graphing Calculator
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review
Graphing Linear Equations
Chapter Overview
Graphing Linear Equations in One Variable
Graphing Linear Equations in Two Variables
Using a Graphing Calculator
Quick Graphs Using Intercepts
Mixed Review
Milestones: Calculating through the
Centuries
The Slope of a Line
Mid-Chapter Self-Test
Quick Graphs Using Slope-Intercept Form
Connections: Solutions and x-Intercepts
Mixed Review
Graphs of Absolute Value Equations
Solving Absolute Value Equations
Chapter Summary
Chapter Review
Chapter Test
Writing Linear Equations
Chapter Overview
Equations of Lines Using Slope-Intercept Form
Equations of Lines Given the Slope and a Point
Mixed Review
Career Interview: Counselor
Equations of Lines Given Two Points
Exploring Data: Fitting a Line to Data
Using a Graphing Calculator
Mid-Chapter Self-Test
Standard Form of a Linear Equation
Point-Slope Form of the Equation of a Line
Mixed Review
Problem Solving Using Linear Models
Chapter Summary
Chapter Review
Chapter Test
Solving and Graphing Linear Inequalities
Chapter Overview
Solving Inequalities in One Variable
Problem Solving Using Inequalities
Mixed Review
Milestones: Ada
Compound Inequalities
Using a Graphing Calculator
Mid-Chapter Self-Test
Connections: Absolute Value and Inequalities
Mixed Review
Graphing Linear Inequalities in Two
Variables
Using a Graphing Calculator
Exploring Data: Time Lines, Picture Graphs,
and Circle Graphs
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review
Solving Systems of Linear Equations
Chapter Overview
Solving Linear Systems by Graphing
Using a Graphing Calculator
Solving Linear Systems by Substitution
Mixed Review
Career Interview: Pediatrician
Solving Linear Systems by Linear
Combinations
Problem Solving Using Linear Systems
Mid-Chapter Self-Test
Special Types of Linear Systems
Mixed Review
Solving Systems of Linear Inequalities
Exploring Data: Linear Programming
Chapter Summary
Chapter Review
Chapter Test Powers and Exponents
Chapter Overview
Multiplication Properties of Exponents
Negative and Zero Exponents
Mixed Review
Milestones: Early Computers
Division Properties of Exponents
Scientific Notation
Mixed Review
Mid-Chapter Self-Test
Problem Solving and Scientific Notation
Problem Solving: Compound Interest and Exponential Growth
Using a Graphing Calculator
Exploring Data: Exponential Growth and Decay
Chapter Summary
Chapter Review
Chapter Test Quadratic Equations
Chapter Overview
Square Roots and the Pythagorean Theorem
Solving Quadratic Equations by Finding Square Roots
Mixed Review
Career Interview: Printer
Graphs of Quadratic Equations
Using a Graphing Calculator
The Quadratic Formula
Mid-Chapter Self-Test
Problem Solving Using the Discriminant
Mixed Review
Graphing Quadratic Inequalities
Exploring Data: Comparing Models
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review Polynomials and Factoring
Chapter Overview
Adding and Subtracting Polynomials
Multiplying Polynomials
Mixed Review
Milestones: Leonhard Euler (1707-1783)
Multiplying Polynomials: Two Special Cases
Factoring: Special Products
Mid-Chapter Self-Test
Factoring Quadratic Trinomials
Solving Quadratic Equations by Factoring
Mixed Review
Using a Graphing Calculator
Solving Quadratic Equations by Completing the Square
Chapter Summary
Chapter Review
Chapter Test Using Proportions and Rational Equations
Chapter Overview
Problem Solving Using Ratios and Proportions
Problem Solving Using Percents
Mixed Review
Career Interview: Retailer
Direct and Inverse Variation
Exploring Data: Probability
Mid-Chapter Self-Test
Simplifying Rational Expressions
Mixed Review
Multiplying and Dividing Rational Expressions
Dividing Polynomials
Using a Graphing Calculator
Solving Rational Equations
Chapter Summary
Chapter Review
Chapter Test Functions
Chapter Overview
Functions and Relations
Linear Functions
Mixed Review
Milestones: Unsolved Problems
Exponential Functions
Quadratic Functions
Mid-Chapter Self-Test
Rational Functions
Mixed Review
Exploring Data: Stem-and-Leaf Plots, Box-and-Whisker Plots
Exploring Data: Measures of Central Tendency
Using a Graphing Calculator
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review
Radicals and More Connections to Geometry
Chapter Overview
The Distance Formula
Simplying Radicals
Mixed Review
Career Interview: Translations Services
Operations with Radicals
Solving Radical Equations
Using a Graphing Calculator
Mid-Chapter Self-Test
The Tangent of an Angle
Mixed Review
Formal Use of Properties of Algebra
Chapter Summary
Chapter Review
Chapter Test
Table of Squares and Square Roots
Properties, Models, Transformations
Glossary
Selected Answers
Index
Acknowledgments
Table of Contents
Connections to Algebra
Chapter Overview
Numbers and Number Operations
Variables in Algebra
Mixed Review
Exponents and Powers
Programming a Calculator
Order of Operations
Career Interview: Medical Technologist
Mid-Chapter Self-Test
Equations and Inequalities
Verbal Models and Algebraic Models
Mixed Review
A Problem-Solving Plan
The Problem-Solving Process: Developing Strategies
Exploring Data: Tables and Graphs
Chapter Summary
Chapter Review
Chapter Test Rules of Algebra
Chapter Overview
The Real Number Line
Addition of Real Numbers
Mixed Review
Milestones: Origins of Algebra
Subtraction of Real Numbers
Exploring Data: Matrices
Programming a Calculator
Mid-Chapter Self-Test
Multiplication of Real Numbers
The Distributive Property
Mixed Review
Division of Real Numbers
Exploring Data: Rates and Ratios
Chapter Summary
Chapter Review
Chapter Test
Solving Linear Equations
Chapter Overview
Solving Equations Using One Transformation
Solving Equations Using Two or More Transformations
Solving Equations with Variables on Both Sides
Mixed Review
Linear Equations and Problem Solving
Career Interview: Picture Framer
Mid-Chapter Self-Test
Solving Equations That Involve Decimals
Literal Equations and Formulas
Mixed Review
Exploring Data: Scatter Plots
Using a Graphing Calculator
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review
Graphing Linear Equations
Chapter Overview
Graphing Linear Equations in One Variable
Graphing Linear Equations in Two Variables
Using a Graphing Calculator
Quick Graphs Using Intercepts
Mixed Review
Milestones: Calculating through the
Centuries
The Slope of a Line
Mid-Chapter Self-Test
Quick Graphs Using Slope-Intercept Form
Connections: Solutions and x-Intercepts
Mixed Review
Graphs of Absolute Value Equations
Solving Absolute Value Equations
Chapter Summary
Chapter Review
Chapter Test
Writing Linear Equations
Chapter Overview
Equations of Lines Using Slope-Intercept Form
Equations of Lines Given the Slope and a Point
Mixed Review
Career Interview: Counselor
Equations of Lines Given Two Points
Exploring Data: Fitting a Line to Data
Using a Graphing Calculator
Mid-Chapter Self-Test
Standard Form of a Linear Equation
Point-Slope Form of the Equation of a Line
Mixed Review
Problem Solving Using Linear Models
Chapter Summary
Chapter Review
Chapter Test
Solving and Graphing Linear Inequalities
Chapter Overview
Solving Inequalities in One Variable
Problem Solving Using Inequalities
Mixed Review
Milestones: Ada
Compound Inequalities
Using a Graphing Calculator
Mid-Chapter Self-Test
Connections: Absolute Value and Inequalities
Mixed Review
Graphing Linear Inequalities in Two
Variables
Using a Graphing Calculator
Exploring Data: Time Lines, Picture Graphs,
and Circle Graphs
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review
Solving Systems of Linear Equations
Chapter Overview
Solving Linear Systems by Graphing
Using a Graphing Calculator
Solving Linear Systems by Substitution
Mixed Review
Career Interview: Pediatrician
Solving Linear Systems by Linear
Combinations
Problem Solving Using Linear Systems
Mid-Chapter Self-Test
Special Types of Linear Systems
Mixed Review
Solving Systems of Linear Inequalities
Exploring Data: Linear Programming
Chapter Summary
Chapter Review
Chapter Test Powers and Exponents
Chapter Overview
Multiplication Properties of Exponents
Negative and Zero Exponents
Mixed Review
Milestones: Early Computers
Division Properties of Exponents
Scientific Notation
Mixed Review
Mid-Chapter Self-Test
Problem Solving and Scientific Notation
Problem Solving: Compound Interest and Exponential Growth
Using a Graphing Calculator
Exploring Data: Exponential Growth and Decay
Chapter Summary
Chapter Review
Chapter Test Quadratic Equations
Chapter Overview
Square Roots and the Pythagorean Theorem
Solving Quadratic Equations by Finding Square Roots
Mixed Review
Career Interview: Printer
Graphs of Quadratic Equations
Using a Graphing Calculator
The Quadratic Formula
Mid-Chapter Self-Test
Problem Solving Using the Discriminant
Mixed Review
Graphing Quadratic Inequalities
Exploring Data: Comparing Models
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review Polynomials and Factoring
Chapter Overview
Adding and Subtracting Polynomials
Multiplying Polynomials
Mixed Review
Milestones: Leonhard Euler (1707-1783)
Multiplying Polynomials: Two Special Cases
Factoring: Special Products
Mid-Chapter Self-Test
Factoring Quadratic Trinomials
Solving Quadratic Equations by Factoring
Mixed Review
Using a Graphing Calculator
Solving Quadratic Equations by Completing the Square
Chapter Summary
Chapter Review
Chapter Test Using Proportions and Rational Equations
Chapter Overview
Problem Solving Using Ratios and Proportions
Problem Solving Using Percents
Mixed Review
Career Interview: Retailer
Direct and Inverse Variation
Exploring Data: Probability
Mid-Chapter Self-Test
Simplifying Rational Expressions
Mixed Review
Multiplying and Dividing Rational Expressions
Dividing Polynomials
Using a Graphing Calculator
Solving Rational Equations
Chapter Summary
Chapter Review
Chapter Test Functions
Chapter Overview
Functions and Relations
Linear Functions
Mixed Review
Milestones: Unsolved Problems
Exponential Functions
Quadratic Functions
Mid-Chapter Self-Test
Rational Functions
Mixed Review
Exploring Data: Stem-and-Leaf Plots, Box-and-Whisker Plots
Exploring Data: Measures of Central Tendency
Using a Graphing Calculator
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review
Radicals and More Connections to Geometry
Chapter Overview
The Distance Formula
Simplying Radicals
Mixed Review
Career Interview: Translations Services
Operations with Radicals
Solving Radical Equations
Using a Graphing Calculator
Mid-Chapter Self-Test
The Tangent of an Angle
Mixed Review
Formal Use of Properties of Algebra
Chapter Summary
Chapter Review
Chapter Test
Table of Squares and Square Roots
Properties, Models, Transformations
Glossary
Selected Answers
Index
Acknowledgments