Developmental Mathematics: Prealgebra, Beginning Algebra, & Intermediate Algebra, 2nd Edition

by Julie Miller, Molly O'Neill, Nancy Hyde

Length: 1664 pages
Edition: 2
Language: English
Publisher: McGraw-Hill Education
Publication Date: 2021-11-09
ISBN-10: 1260728250
ISBN-13: 9781260728255
Sales Rank: #0 (See Top 100 Books)

The 2nd Edition of Developmental Mathematics: Prealgebra, Beginning Algebra, & Intermediate Algebra continues the Miller/O’Neill/Hyde author team’s approach in addressing the needs of developmental level students to help them get better results. Updates to the new edition include end-of-section activities, prerequisite review exercises, and new study skills videos.

This new edition is available in ALEKS 360. In a single platform, ALEKS provides a balance of adaptive practice for skill mastery and homework, tests, and quizzes for application and assessment so that you can create the assignments your students need to have the best outcome in your course. In addition to content updates to the text, we are continuously adding new features to ALEKS 360–including new video assignments, an enhanced gradebook experience, end-of-chapter questions aligned to the text, and more.

Cover Page
Title Page
Copyright Page
Letter from the Authors
About The Authors
The Miller/O’Neill/Hyde Developmental Math Series
Acknowledgments
Contents
To the Student
Student Guide to the Text
Get Better Results
    How Will Miller/O’Neill/Hyde Help Your Students Get Better Results?
    Formula for Student Success
    Quality Learning Tools
    Additional Supplements
    Our Commitment to Market Development and Accuracy
    Acknowledgments and Reviewers
Chapter 1 Whole Numbers
    1.1 Introduction to Whole Numbers
    1.2 Addition and Subtraction of Whole Numbers and Perimeter
    1.3 Rounding and Estimating
    1.4 Multiplication of Whole Numbers and Area
    1.5 Division of Whole Numbers
    Problem Recognition Exercises: Operations on Whole Numbers
    1.6 Exponents, Algebraic Expressions, and the Order of Operations
    1.7 Mixed Applications and Computing Mean
    Chapter 1 Review Exercises
Chapter 2 Integers and Algebraic Expressions
    2.1 Integers, Absolute Value, and Opposite
    2.2 Addition of Integers
    2.3 Subtraction of Integers
    2.4 Multiplication and Division of Integers
    Problem Recognition Exercises: Operations on Integers
    2.5 Order of Operations and Algebraic Expressions
    Chapter 2 Review Exercises
Chapter 3 Solving Equations
    3.1 Simplifying Expressions and Combining Like Terms
    3.2 Addition and Subtraction Properties of Equality
    3.3 Multiplication and Division Properties of Equality
    3.4 Solving Equations with Multiple Steps
    Problem Recognition Exercises: Identifying Expressions and Equations
    3.5 Applications and Problem Solving
    Chapter 3 Review Exercises
Chapter 4 Fractions and Mixed Numbers
    4.1 Introduction to Fractions and Mixed Numbers
    4.2 Simplifying Fractions
    4.3 Multiplication and Division of Fractions
    4.4 Least Common Multiple and Equivalent Fractions
    4.5 Addition and Subtraction of Fractions
    4.6 Estimation and Operations on Mixed Numbers
    Problem Recognition Exercises: Operations on Fractions and Mixed Numbers
    4.7 Order of Operations and Complex Fractions
    4.8 Solving Equations Containing Fractions
    Problem Recognition Exercises: Comparing Expressions and Equations
    Chapter 4 Review Exercises
Chapter 5 Decimals
    5.1 Decimal Notation and Rounding
    5.2 Addition and Subtraction of Decimals
    5.3 Multiplication of Decimals and Applications with Circles
    5.4 Division of Decimals
    Problem Recognition Exercises: Operations on Decimals
    5.5 Fractions, Decimals, and the Order of Operations
    5.6 Solving Equations Containing Decimals
    Chapter 5 Review Exercises
Chapter 6 Ratio and Proportion
    6.1 Ratios
    6.2 Rates and Unit Cost
    6.3 Proportions
    Problem Recognition Exercises: Operations on Fractions versus Solving Proportions
    6.4 Applications of Proportions and Similar Figures
    Chapter 6 Review Exercises
Chapter 7 Percents
    7.1 Percents, Fractions, and Decimals
    7.2 Percent Proportions and Applications
    7.3 Percent Equations and Applications
    Problem Recognition Exercises: Percents
    7.4 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease
    7.5 Simple and Compound Interest
    Chapter 7 Review Exercises
Chapter 8 Measurement and Geometry
    8.1 U.S. Customary Units of Measurement
    8.2 Metric Units of Measurement
    8.3 Converting Between U.S. Customary and Metric Units
    Problem Recognition Exercises: U.S. Customary and Metric Conversions
    8.4 Medical Applications Involving Measurement
    8.5 Lines and Angles
    8.6 Triangles and the Pythagorean Theorem
    8.7 Perimeter, Circumference, and Area
    Problem Recognition Exercises: Area, Perimeter, and Circumference
    8.8 Volume and Surface Area
    Chapter 8 Review Exercises
Chapter 9 Graphs and Statistics
    9.1 Tables, Bar Graphs, Pictographs, and Line Graphs
    9.2 Frequency Distributions and Histograms
    9.3 Circle Graphs
    9.4 Introduction to Probability
    9.5 Mean, Median, and Mode
    Chapter 9 Review Exercises
Chapter 10 Linear Equations and Inequalities
    10.1 Addition, Subtraction, Multiplication, and Division Properties of Equality
    10.2 Solving Linear Equations
    10.3 Linear Equations: Clearing Fractions and Decimals
    Problem Recognition Exercises: Equations vs. Expressions
    10.4 Applications of Linear Equations: Introduction to Problem Solving
    10.5 Applications Involving Percents
    10.6 Formulas and Applications of Geometry
    10.7 Mixture Applications and Uniform Motion
    10.8 Linear Inequalities
    Chapter 10 Review Exercises
Chapter 11 Graphing Linear Equations in Two Variables
    11.1 Rectangular Coordinate System
    11.2 Linear Equations in Two Variables
    11.3 Slope of a Line and Rate of Change
    11.4 Slope-Intercept Form of a Linear Equation
    Problem Recognition Exercises: Linear Equations in Two Variables
    11.5 Point-Slope Formula
    11.6 Applications of Linear Equations and Modeling
    Chapter 11 Review Exercises
Chapter 12 Systems of Linear Equations in Two Variables
    12.1 Solving Systems of Equations by the Graphing Method
    12.2 Solving Systems of Equations by the Substitution Method
    12.3 Solving Systems of Equations by the Addition Method
    Problem Recognition Exercises: Systems of Equations
    12.4 Applications of Linear Equations in Two Variables
    12.5 Systems of Linear Equations in Three Variables
    12.6 Applications of Systems of Linear Equations in Three Variables
    Chapter 12 Review Exercises
Chapter 13 Polynomials and Properties of Exponents
    13.1 Multiplying and Dividing Expressions With Common Bases
    13.2 More Properties of Exponents
    13.3 Definitions of b0 and b−n
    Problem Recognition Exercises: Properties of Exponents
    13.4 Scientific Notation
    13.5 Addition and Subtraction of Polynomials
    13.6 Multiplication of Polynomials and Special Products
    13.7 Division of Polynomials
    Problem Recognition Exercises: Operations on Polynomials
    Chapter 13 Review Exercises
Chapter 14 Factoring Polynomials
     14.1 Greatest Common Factor and Factoring by Grouping
    14.2 Factoring Trinomials of the Form x2 + bx + c
    14.3 Factoring Trinomials: Trial-and-Error Method
    14.4 Factoring Trinomials: AC-Method
    14.5 Difference of Squares and Perfect Square Trinomials
    14.6 Sum and Difference of Cubes
    Problem Recognition Exercises: Factoring Strategy
    14.7 Solving Equations Using the Zero Product Rule
    Problem Recognition Exercises: Polynomial Expressions versus Polynomial Equations
    14.8 Applications of Quadratic Equations
    Chapter 14 Review Exercises
Chapter 15 Rational Expressions and Equations
    15.1 Introduction to Rational Expressions
    15.2 Multiplication and Division of Rational Expressions
    15.3 Least Common Denominator
    15.4 Addition and Subtraction of Rational Expressions
    Problem Recognition Exercises: Operations on Rational Expressions
    15.5 Complex Fractions
    15.6 Rational Equations
    Problem Recognition Exercises: Comparing Rational Equations and Rational Expressions
    15.7 Applications of Rational Equations and Proportions
    Chapter 15 Review Exercises
Chapter 16 Relations and Functions
    16.1 Introduction to Relations
    16.2 Introduction to Functions
    16.3 Graphs of Functions
    Problem Recognition Exercises: Characteristics of Relations
    16.4 Algebra of Functions and Composition
    16.5 Variation
    Chapter 16 Review Exercises
Chapter 17 More Equations and Inequalities
    17.1 Compound Inequalities
    17.2 Polynomial and Rational Inequalities
    17.3 Absolute Value Equations
    17.4 Absolute Value Inequalities
    Problem Recognition Exercises: Equations and Inequalities
    17.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables
    Chapter 17 Review Exercises
Chapter 18 Radicals and Complex Numbers
    18.1 Definition of an nth Root
    18.2 Rational Exponents
    18.3 Simplifying Radical Expressions
    18.4 Addition and Subtraction of Radicals
    18.5 Multiplication of Radicals
    18.6 Division of Radicals and Rationalization
    Problem Recognition Exercises: Operations on Radicals
    18.7 Solving Radical Equations
    18.8 Complex Numbers
    Chapter 18 Review Exercises
Chapter 19 Quadratic Equations and Functions
    19.1 Square Root Property and Completing the Square
    19.2 Quadratic Formula
    19.3 Equations in Quadratic Form
    Problem Recognition Exercises: Quadratic and Quadratic Type Equations
    19.4 Graphs of Quadratic Functions
    19.5 Vertex of a Parabola: Applications and Modeling
    Chapter 19 Review Exercises
Chapter 20 Exponential and Logarithmic Functions and Applications
    20.1 Inverse Functions
    20.2 Exponential Functions
    20.3 Logarithmic Functions
    Problem Recognition Exercises: Identifying Graphs of Functions
    20.4 Properties of Logarithms
    20.5 The Irrational Number e and Change of Base
    Problem Recognition Exercises: Logarithmic and Exponential Forms
    20.6 Logarithmic and Exponential Equations and Applications
    Chapter 20 Review Exercises
Chapter 21 Conic Sections
    21.1 Distance Formula, Midpoint Formula, and Circles
    21.2 More on the Parabola
    21.3 The Ellipse and Hyperbola
    Problem Recognition Exercises: Formulas and Conic Sections
    21.4 Nonlinear Systems of Equations in Two Variables
    21.5 Nonlinear Inequalities and Systems of Inequalities in Two Variables
    Chapter 21 Review Exercises
Chapter 22 Binomial Expansions, Sequences, and Series
    22.1 Binomial Expansions
    22.2 Sequences and Series
    22.3 Arithmetic Sequences and Series
    22.4 Geometric Sequences and Series
    Problem Recognition Exercises: Identifying Arithmetic and Geometric Sequences
    Chapter 22 Review Exercises
Chapter 23(Online) Transformations, Piecewise-Defined Functions, and Probability
    23.1 Transformations of Graphs and Piecewise-Defined Functions
    23.2 Fundamentals of Counting
    23.3 More on Probability
    Chapter 23 Review Exercises
Chapter Summary
Chapter Group Activity
Chapter Test
 Additional Topics Appendix
     A.1 Additional Factoring
     A.2 Solving Systems of Linear Equations by Using Matrices
     A.3 Determinants and Cramer’s Rule
     A.4 Introduction to Modeling
Appendix B (Online)
     B.1 Review of the Set of Real Numbers
     B.2 Review of Linear Equations and Linear Inequalities
     B.3 Review of Graphing
     B.4 Review of Systems of Linear Equations in Two Variables
     B.5 Review of Polynomials and Properties of Exponents
     B.6 Review of Factoring Polynomials and Solving Quadratic Equations
     B.7 Review of Rational Expressions
Student Answer Appendix
Index
Index Online
Formula Charts