Preparation for College 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 Solving Equations with Whole Numbers: x + b = c and ax = c

1.8 Exponents and Order of Operations

1.9 Tests for Divisibility

1.10 Prime Numbers and Prime Factorizations

2.1 Introduction to Integers

2.2 Addition with Integers

2.3 Subtraction with Integers

2.4 Multiplication, Division, and Order of Operations with Integers

2.5 Simplifying and Evaluating Expressions

2.6 Translating English Phrases and Algebraic Expressions

2.7 Solving Equations with Integers: ax + b = c

3.1 Introduction to Fractions and Mixed Numbers

3.2 Multiplication with Fractions

3.3 Division with Fractions

3.4 Multiplication and Division with Mixed Numbers

3.5 Least Common Multiple (LCM)

3.6 Addition and Subtraction with Fractions

3.7 Addition and Subtraction with Mixed Numbers

3.8 Comparisons and Order of Operations with Fractions

3.9 Solving Equations with Fractions

3.10 Ratios and Unit Rates

3.11 Proportions

3.12 Probability

4.1 Introduction to Decimal Numbers

4.2 Addition and Subtraction with Decimal Numbers

4.3 Multiplication and Division with Decimal Numbers

4.4 Estimating and Order of Operations with Decimal Numbers

4.5 Statistics: Mean, Median, Mode, and Range

4.6 Decimal Numbers and Fractions

4.7 Solving Equations with Decimal Numbers

5.1 Basics of Percent

5.2 Solving Percent Problems Using Proportions

5.3 Solving Percent Problems Using Equations

5.4 Applications of Percent

5.5 Simple and Compound Interest

5.6 Reading Graphs

6.1 US Measurements

6.2 The Metric System: Length and Area

6.3 The Metric System: Capacity and Weight

6.4 US and Metric Equivalents

6.5 Angles and Triangles

6.6 Perimeter

6.7 Area

6.8 Volume and Surface Area

6.9 Similar and Congruent Triangles

6.10 Square Roots and the Pythagorean Theorem

7.1 Properties of Real Numbers

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

7.3 Solving Linear Equations: ax + b = c

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

7.5 Working with Formulas

7.6 Applications: Number Problems and Consecutive Integers

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

7.8 Solving Linear Inequalities in One Variable

7.9 Compound Inequalities

7.10 Absolute Value Equations

7.11 Absolute Value Inequalities

8.1 The Cartesian Coordinate System

8.2 Graphing Linear Equations in Two Variables

8.3 Slope-Intercept Form

8.4 Point-Slope Form

8.5 Introduction to Functions and Function Notation

8.6 Graphing Linear Inequalities in Two Variables

9.1 Systems of Linear Equations: Solutions by Graphing

9.2 Systems of Linear Equations: Solutions by Substitution

9.3 Systems of Linear Equations: Solutions by Addition

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

9.5 Applications: Interest and Mixture

9.6 Systems of Linear Equations: Three Variables

9.7 Matrices and Gaussian Elimination

9.8 Systems of Linear Inequalities

10.1 Rules for Exponents

10.2 Power Rules for Exponents

10.3 Applications: Scientific Notation

10.4 Introduction to Polynomials

10.5 Addition and Subtraction with Polynomials

10.6 Multiplication with Polynomials

10.7 Special Products of Binomials

10.8 Division with Polynomials

10.9 Synthetic Division and the Remainder Theorem

11.1 Greatest Common Factor (GCF) and Factoring by Grouping

11.2 Factoring Trinomials: x^2 + bx + c

11.3 Factoring Trinomials: ax^2 + bx + c

11.4 Special Factoring Techniques

11.5 Review of Factoring Techniques

11.6 Solving Quadratic Equations by Factoring

11.7 Applications: Quadratic Equations

12.1 Introduction to Rational Expressions

12.2 Multiplication and Division with Rational Expressions

12.3 Least Common Multiple of Polynomials

12.4 Addition and Subtraction with Rational Expressions

12.5 Simplifying Complex Fractions

12.6 Solving Rational Equations

12.7 Applications: Rational Expressions

12.8 Applications: Variation

13.1 Evaluating Radicals

13.2 Simplifying Radicals

13.3 Rational Exponents

13.4 Addition, Subtraction, and Multiplication with Radicals

13.5 Rationalizing Denominators

13.6 Solving Radical Equations

13.7 Functions with Radicals

13.8 Introduction to Complex Numbers

13.9 Multiplication and Division with Complex Numbers

14.1 Quadratic Equations: The Square Root Method

14.2 Quadratic Equations: Completing the Square

14.3 Quadratic Equations: The Quadratic Formula

14.4 More Applications of Quadratic Equations

14.5 Equations in Quadratic Form

14.6 Graphing Quadratic Functions

14.7 More on Graphing Quadratic Functions and Applications

14.8 Solving Polynomial and Rational Inequalities

15.1 Algebra of Functions

15.2 Composition of Functions and Inverse Functions

15.3 Exponential Functions

15.4 Logarithmic Functions

15.5 Properties of Logarithms

15.6 Common Logarithms and Natural Logarithms

15.7 Logarithmic and Exponential Equations and Change-of-Base

15.8 Applications: Exponential and Logarithmic Functions

16.1 Translations and Reflections

16.2 Parabolas as Conic Sections

16.3 Distance Formula, Midpoint Formula, and Circles

16.4 Ellipses and Hyperbolas

16.5 Nonlinear Systems of Equations