1. Whole Numbers and Introduction to Algebra
1.1 Basics of Whole Numbers
1.2 Adding Whole Numbers
1.3 Subtracting Whole Numbers
1.4 Multiplying Whole Numbers
Mid-Chapter Check Point
1.5 Dividing Whole Numbers
1.6 Exponents and Order of Operations
1.7 Introduction to Algebra: Variables and Mathematical Models
2. Integers and Introduction to Solving Equations
2.1 Introduction to Integers
2.2 Adding Integers
2.3 Subtracting Integers
2.4 Multiplying and Dividing Integers
Mid-Chapter Check Point
2.5 Order of Operations with Integers; Mathematical Models
2.6 Solving Equations: The Addition and Multiplication Properties of Equality
3. Fractions
3.1 Introduction to Fractions and Mixed Numbers
3.2 Factors and Prime Factorizations; Simplest Form of a Fraction
3.3 Multiplying Fractions and Mixed Numbers
3.4 Dividing Fractions and Mixed Numbers
Mid-Chapter Check Point
3.5 Adding and Subtracting Like Fractions
3.6 Adding and Subtracting Unlike Fractions
3.7 Order of Operations with Fractions; Mathematical Models
3.8 Ratios, Rates, and Proportions
4. Decimals
4.1 Introduction to Decimals
4.2 Adding and Subtracting Decimals
4.3 Multiplying Decimals
Mid-Chapter Check Point
4.4 Dividing Decimals
4.5 Fractions, Decimals, and Order of Operations
4.6 Solving and Modeling with Equations Containing Decimals
5. Percents
5.1 Percents, Decimals, and Fractions
5.2 Solving Percent Problems with Equations
Mid-Chapter Check Point
5.3 Applications of Percent
5.4 Simple and Compound Interest
6. Geometry
6.1 Measuring Length; The English and Metric Systems
6.2 Points, Lines, Planes, and Angles
6.3 Triangles
6.4 Irrational Numbers, Square Roots, and the Pythagorean Theorem
Mid-Chapter Check Point
6.5 Polygons and Perimeter
6.6 Area and Circumference
6.7 Volume and Surface Area
7. Statistics & Probability
7.1 Sampling, Frequency Distributions, and Graphs
7.2 Measures of Central Tendency
Mid-Chapter Check Point
7.3 Fundamentals of Probability
8. Linear Equations and Inequalities in One Variable
8.1 The Addition Property of Equality
8.2 The Multiplication Property of Equality
8.3 Solving Linear Equations
8.4 Formulas and Percents
Mid-Chapter Check Point
8.5 An Introduction to Problem Solving
8.6 Problem Solving in Geometry
8.7 Solving Linear Inequalities
9. Linear Equations in Two Variables
9.1 Graphing Linear Equations in Two Variables
9.2 Graphing Linear Equations Using Intercepts
9.3 Slope
9.4 The Slope-Intercept Form of the Equation of a Line
Mid-Chapter Check Point
9.5 The Point-Slope Form of the Equation of a Line
10. Systems of Linear Equations
10.1 Solving Systems of Linear Equations by Graphing
10.2 Solving Systems of Linear Equations by the Substitution Method
10.3 Solving Systems of Linear Equations by the Addition Method
Mid-Chapter Check Point
10.4 Problem Solving Using Systems of Equations
10.5 Systems of Linear Equations in Three Variables
11. Exponents and Polynomials
11.1 Adding and Subtracting Polynomials
11.2 Multiplying Polynomials
11.3 Special Products
11.4 Polynomials in Several Variables
Mid-Chapter Check Point
11.5 Dividing Polynomials
11.6 Long Division of Polynomials; Synthetic Division
11.7 Negative Exponents and Scientific Notation
12. Factoring Polynomials
12.1 The Greatest Common Factor and Factoring by Grouping
12.2 Factoring Trinomials Whose Leading Coefficient is 1
12.3 Factoring Trinomials Whose Leading Coefficient is Not 1
Mid-Chapter Check Point
12.4 Factoring Special Forms
12.5 A General Factoring Strategy
12.6 Solving Quadratic Equations by Factoring
13. Rational Expressions
13.1 Rational Expressions and Their Simplification
13.2 Multiplying and Dividing Rational Expressions
13.3 Adding and Subtracting Rational Expressions with the Same Denominator
13.4 Adding and Subtracting Rational Expressions with Different Denominators
Mid-Chapter Check Point
13.5 Complex Rational Expressions
13.6 Solving Rational Equations
13.7 Applications Using Rational Equations and Proportions
13.8 Modeling Using Variation
14. Basics of Functions
14.1 Introduction to Functions
14.2 Graphs of Functions
14.3 The Algebra of Functions
Mid-Chapter Check Point
14.4 Composite and Inverse Functions
15. Inequalities and Problem Solving
15.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications
15.2 Compound Inequalities
15.3 Equations and Inequalities Involving Absolute Value
Mid-Chapter Check Point
15.4 Linear Inequalities in Two Variables
16. Radicals, Radical Functions, and Rational Exponents
16.1 Radical Expressions and Functions
16.2 Rational Exponents
16.3 Multiplying and Simplifying Radical Expressions
16.4 Adding, Subtracting, and Dividing Radical Expressions
Mid-Chapter Check Point
16.5 Multiplying with More Than One Term and Rationalizing Denominators
16.6 Radical Equations
16.7 Complex Numbers
17. Quadratic Equations and Functions
17.1 The Square Root Property and Completing the Square; Distance and Midpoint
Formula
17.2 The Quadratic Formula
17.3 Quadratic Functions and Their Graphs
Mid-Chapter Check Point
17.4 Equations Quadratic in Form
17.5 Polynomial and Rational Inequalities
18. Exponential and Logarithmic Functions
18.1 Exponential Functions
18.2 Logarithmic Functions
18.3 Properties of Logarithms
Mid-Chapter Check Point
18.4 Exponential and Logarithmic Equations
18.5 Exponential Growth and Decay; Modeling Data
19. Conic Sections and Systems of Nonlinear Equations
19.1 The Circle
19.2 The Ellipse
19.3 The Hyperbola
Mid-Chapter Check Point
19.4 The Parabola; Identifying Conic Sections
19.5 Systems of Nonlinear Equations in Two Variables
20. Sequences, Series, and the Binomial Theorem
20.1 Sequences and Summation Notation
20.2 Arithmetic Sequences
20.3 Geometric Sequences
Mid-Chapter Check Point
20.4 The Binomial Theorem
