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.
Author(s): Julie Miller, Molly O'Neill, Nancy Hyde
Edition: 2
Publisher: McGraw Hill
Year: 2022
Language: English
Pages: 1939
City: New York, NY
Tags: Whole Numbers; Algebraic Expressions; Equations; Fractions; Decimals; Ratio; Proportion; Percents; Measurements; Geometry; Graphs; Statistics; Linear Equations; Inequalities; Linear Equations Systems; Polynomials; Exponents Properties; Relations; Functions; Radicals; Complex Numbers; Quadratic Equations; Exponential Functions; Logarithmic Functions; Conic Sections; Binomial, Sequences; Series
Cover
Title Page
Copyright Page
About the Authors
Acknowledgments
Contents
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
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
Student Answer Appendix
Index
Formula Charts
