Create more lightbulb moments with this comprehensive set of valuable content and insightful, intuitive digital learning resources! This new 2nd edition of the Miller/O'Neill/Hyde Prealgebra and Introductory Algebra text seeks to serve the changing dynamics of today's curriculum by thoughtfully interweaving the topics of two foundational building blocks in students' mathematical journey. The text reflects the compassion of its experienced author team with features developed to address the specific needs of today's prealgebra and introductory algebra students. Included alongside the highly-favorable Problem Recognition Exercises, readers will find added review material, aimed at assisting students with synthesis, summarization, and recognition of key mathematical topics so as to enhance their overall conceptual understanding. These types of exercises, along with the overall number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills.
Chapter 1: Whole Numbers
1.1 Study Tips
1.2 Introduction to Whole Numbers
1.3 Addition and Subtraction of Whole Numbers and Perimeter
1.4 Rounding and Estimating
1.5 Multiplication of Whole Numbers and Area
1.6 Division of Whole Numbers
1.7 Exponents, Algebraic Expressions, and the Order of Operations
1.8 Mixed Applications and Computing Mean
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
2.5 Order of Operations and Algebraic Expressions
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
3.5 Applications and Problem Solving
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
4.7 Order of Operations and Complex Fractions
4.8 Solving Equations Containing Fractions
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
5.5 Fractions, Decimals, and the Order of Operations
5.6 Solving Equations Containing Decimals
Chapter 6: Ratio, Proportion, and Percent
6.1 Ratios
6.2 Rates and Unit Cost
6.3 Proportions and Applications of Proportions
6.4 Percents, Fractions, and Decimals
6.5 Peent Proportions and Applications
6.6 Percent Equations and Applications
6.7 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease
6.8 Simple and Compound Interest
Chapter 7: Measurement and Geometry
7.1 U.S. Customary Units of Measurement
7.2 Metric Units of Measurement
7.3 Converting Between U.S. Customary and Metric Units
7.4 Medical Applications Involving Measurement
7.5 Lines and Angles
7.6 Triangles and the Pythagorean Theorem
7.7 Perimeter, Circumference, and Area
7.8 Volume and Surface Area
Chapter 8: Introduction to Statistics
8.1 Tables, Bar Graphs, Pictographs, and Line Graphs
8.2 Frequency Distributions and Histograms
8.3 Circle Graphs
8.4 Mean, Median, and Mode
Chapter 9: Linear Equations and Inequalities
9.1 Sets of Numbers and the Real Number Line
9.2 Solving Linear Equations
9.3 Linear Equations: Clearing Fractions and Decimals
9.4 Applications of Linear Equations: Introduction to Problem Solving
9.5 Applications Involving Percents
9.6 Formulas and Applications of Geometry
9.7 Linear Inequalities
Chapter 10: Graphing Linear Equations in Two Variables
10.1 Rectangular Coordinate System
10.2 Linear Equations in Two Variables
10.3 Slope of a Line and Rate of Change
10.4 Slope-Intercept Form of a Linear Equation
10.5 Point-Slope Formula
10.6 Applications of Linear Equations and Modeling
Chapter 11: Systems of Linear Equations in Two Variables
11.1 Solving Systems of Equations by the Graphing Method
11.2 Solving Systems of Equations by the Substitution Method
11.3 Solving Systems of Equations by the Addition Method
11.4 Applications of Linear Equations in Two Variables
11.5 Linear Inequalities and Systems of Inequalities in Two Variables
Chapter 12: Polynomials and Properties of Exponents
12.1 Multiplying and Dividing Expressions with Common Bases
12.2 More Properties of Exponents
12.3 Definitions of b^0 and b^-n
12.4 Scientific Notation
12.5 Addition and Subtraction of Polynomials
12.6 Multiplication of Polynomials and Special Products
12.7 Division of Polynomials
Chapter 13: Factoring Polynomials
13.1 Greatest Common Factor and Factoring by Grouping
13.2 Factoring Trinomials of the Form x^2 + bx + c
13.3 Factoring Trinomials: Trial-and-Error Method
13.4 Factoring Trinomials: AC-Method
13.5 Difference of Squares and Perfect Square Trinomials
13.6 Sum and Difference of Cubes
13.7 Solving Equations Using the Zero Product Rule
13.8 Applications of Quadratic Equations
Chapter 14: Rational Expressions and Equations
14.1 Introduction to Rational Expressions
14.2 Multiplication and Division of Rational Expressions
14.3 Least Common Denominator
14.4 Addition and Subtraction of Rational Expressions
14.5 Complex Fractions
14.6 Rational Equations
14.7 Applications of Rational Equations and Proportions
Chapter 15: Radicals
15.1 Introduction to Roots and Radicals
15.2 Simplifying Radicals
15.3 Addition and Subtraction of Radicals
15.4 Multiplication of Radicals
15.5 Division of Radicals and Rationalization
15.6 Radical Equations
Chapter 16: Quadratic Equations, Complex Numbers, and Functions
16.1 The Square Root Property
16.2 Completing the Square
16.3 Quadratic Formula
16.4 Graphing Quadratic Equations
16.5 Introduction to Functions
Appendix
A.1 Introduction to Probability
A.2 Variation
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