Developmental Mathematics, 3rd Edition

0.1 Understanding and Reducing Stress

0.2 Staying Organized

0.3 Managing Your Time Effectively

0.4 Reading a Textbook and Note-Taking

0.5 Using Effective Study Strategies

0.6 Reducing Test Anxiety

1.1 Introduction to Whole Numbers

1.2 Addition and Subtraction with Whole Numbers

1.3 Multiplication with Whole Numbers

1.4 Division with Whole Numbers

1.5 Rounding and Estimating with Whole Numbers

1.6 Problem Solving with Whole Numbers

1.7 Exponents and Order of Operations

1.8 Tests for Divisibility

1.9 Prime Numbers and Prime Factorizations

2.1 Introduction to Fractions and Mixed Numbers

2.2 Multiplication with Fractions

2.3 Division with Fractions

2.4 Multiplication and Division with Mixed Numbers

2.5 Least Common Multiple (LCM)

2.6 Addition and Subtraction with Fractions

2.7 Addition and Subtraction with Mixed Numbers

2.8 Comparisons and Order of Operations with Fractions

3.1 Introduction to Decimal Numbers

3.2 Addition and Subtraction with Decimal Numbers

3.3 Multiplication with Decimal Numbers

3.4 Division with Decimal Numbers

3.5 Estimating and Order of Operations with Decimal Numbers

3.6 Decimal Numbers and Fractions

4.1 Ratios and Unit Rates

4.2 Proportions

4.3 Decimals and Percents

4.4 Fractions and Percents

4.5 Solving Percent Problems Using Proportions

4.6 Solving Percent Problems Using Equations

4.7 Applications of Percent

4.8 Simple and Compound Interest

5.1 US Measurements

5.2 The Metric System: Length and Area

5.3 The Metric System: Capacity and Weight

5.4 US and Metric Equivalents

6.1 Angles and Triangles

6.2 Perimeter

6.3 Area

6.4 Circles

6.5 Volume and Surface Area

6.6 Similar and Congruent Triangles

6.7 Square Roots and the Pythagorean Theorem

7.1 Statistics: Mean, Median, Mode, and Range

7.2 Reading Graphs

7.3 Constructing Graphs from Databases

7.4 Probability

8.1 The Real Number Line and Absolute Value

8.2 Addition with Real Numbers

8.3 Subtraction with Real Numbers

8.4 Multiplication and Division with Real Numbers

8.5 Order of Operations with Real Numbers

8.6 Properties of Real Numbers

8.7 Simplifying and Evaluating Algebraic Expressions

8.8 Translating English Phrases and Algebraic Expressions

9.1 Solving Linear Equations: x + b = c and ax = c

9.2 Solving Linear Equations: ax + b = c

9.3 Solving Linear Equations: ax + b = cx + d

9.4 Working with Formulas

9.5 Applications: Number Problems and Consecutive Integers

9.6 Applications: Distance-Rate-Time, Interest, Average, and Cost

9.7 Solving Linear Inequalities in One Variable

9.8 Compound Inequalities

9.9 Absolute Value Equations

9.10 Absolute Value Inequalities

10.1 The Cartesian Coordinate System

10.2 Graphing Linear Equations in Two Variables

10.3 Slope-Intercept Form

10.4 Point-Slope Form

10.5 Introduction to Functions and Function Notation

10.6 Graphing Linear Inequalities in Two Variables

11.1 Systems of Linear Equations: Solutions by Graphing

11.2 Systems of Linear Equations: Solutions by Substitution

11.3 Systems of Linear Equations: Solutions by Addition

11.4 Applications: Distance-Rate-Time, Number Problems, Amounts, and Cost

11.5 Applications: Interest and Mixture

11.6 Systems of Linear Equations: Three Variables

11.7 Matrices and Gaussian Elimination

11.8 Systems of Linear Inequalities

12.1 Rules for Exponents

12.2 Power Rules for Exponents

12.3 Applications: Scientific Notation

12.4 Introduction to Polynomials

12.5 Addition and Subtraction with Polynomials

12.6 Multiplication with Polynomials

12.7 Special Products of Binomials

12.8 Division with Polynomials

12.9 Synthetic Division and the Remainder Theorem

13.1 Greatest Common Factor (GCF) and Factoring by Grouping

13.2 Factoring Trinomials: x^2 + bx + c

13.3 Factoring Trinomials: ax^2 + bx + c

13.4 Special Factoring Techniques

13.5 Review of Factoring Techniques

13.6 Solving Quadratic Equations by Factoring

13.7 Applications: Quadratic Equations

14.1 Introduction to Rational Expressions

14.2 Multiplication and Division with Rational Expressions

14.3 Least Common Multiple of Polynomials

14.4 Addition and Subtraction with Rational Expressions

14.5 Simplifying Complex Fractions

14.6 Solving Rational Equations

14.7 Applications: Rational Expressions

14.8 Applications: Variation

15.1 Evaluating Radicals

15.2 Simplifying Radicals

15.3 Rational Exponents

15.4 Addition, Subtraction, and Multiplication with Radicals

15.5 Rationalizing Denominators

15.6 Solving Radical Equations

15.7 Functions with Radicals

15.8 Introduction to Complex Numbers

15.9 Multiplication and Division with Complex Numbers

16.1 Quadratic Equations: The Square Root Method

16.2 Quadratic Equations: Completing the Square

16.3 Quadratic Equations: The Quadratic Formula

16.4 More Applications of Quadratic Equations

16.5 Equations in Quadratic Form

16.6 Graphing Quadratic Functions

16.7 More on Graphing Quadratic Functions and Applications

16.8 Solving Polynomial and Rational Inequalities

17.1 Algebra of Functions

17.2 Composition of Functions and Inverse Functions

17.3 Exponential Functions

17.4 Logarithmic Functions

17.5 Properties of Logarithms

17.6 Common Logarithms and Natural Logarithms

17.7 Logarithmic and Exponential Equations and Change-of-Base

17.8 Applications: Exponential and Logarithmic Functions

18.1 Translations and Reflections

18.2 Parabolas as Conic Sections

18.3 Distance Formula, Midpoint Formula, and Circles

18.4 Ellipses and Hyperbolas

18.5 Nonlinear Systems of Equations