## Table of Contents

**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