The new edition of *Preparation for College Mathematics* now covers even more intermediate-level algebraic topics and increases focus on application, conceptual understanding, and the development of the academic mindset. Request an examination copy.

The goal of this newly enhanced title is to develop holistic learners who are adequately prepared for subsequent, higher-level math courses on their path to college success.

View a free sample of the new edition of *Preparation for College Mathematics.*

**NEW features include:**

**Strategies for Academic Success**– study skills and learning strategies build stronger learners with tips on note taking, time management, test taking, and more**Chapter Projects**– discovery-based projects promote collaboration and practical applications of mathematics**Concept Checks**– exercise sets assess students’ conceptual understanding of topics before each practice set**Applications**– exercise sets for each section challenge students to apply topics learned to real-world contexts**Extra Material**– more advanced topics cover all learning outcomes to prepare students for future college math courses**Writing & Thinking**– opportunities for students to independently explore and expand on chapter concepts

## Table of Contents:

**Preface: Strategies for Academic Success**

##### How to Read a Math Textbook

Tips for Success in a Math Course

Tips for Improving Math Test Scores

Practice, Patience, and Persistence!

Note Taking

Do I Need a Math Tutor?

Tips for Improving Your Memory

Overcoming Anxiety

Online Resources

Preparing for a Final Math Exam

Managing Your Time Effectively

### 1. Whole Numbers

##### Introduction to Whole Numbers

Addition and Subtraction with Whole Numbers

Multiplication with Whole Numbers

Division with Whole Numbers

Rounding and Estimating with Whole Numbers

Problem Solving with Whole Numbers

Solving Equations with Whole Numbers (x + b = c and ax = c)

Exponents and Order of Operations

Tests for Divisibility

Prime Numbers and Prime Factorizations

### 2. Integers

##### Introduction to Integers

Addition with Integers

Subtraction with Integers

Multiplication, Division, and Order of Operations with Integers

Simplifying and Evaluating Expressions

Translating English Phrases and Algebraic Expressions

Solving Equations with Integers (ax + b = c)

### 3. Fractions, Mixed Numbers, and Proportions

##### Introduction to Fractions and Mixed Numbers

Multiplication with Fractions

Division with Fractions

Multiplication and Division with Mixed Numbers

Least Common Multiple (LCM)

Addition and Subtraction with Fractions

Addition and Subtraction with Mixed Numbers

Comparisons and Order of Operations with Fractions

Solving Equations with Fractions

Ratios and Rates

Proportions

Probability

### 4. Decimal Numbers

##### Introduction to Decimal Numbers

Addition and Subtraction with Decimal Numbers

Multiplication and Division with Decimal Numbers

Estimating and Order of Operations with Decimal Numbers

Statistics: Mean, Median, Mode, and Range

Decimal Numbers and Fractions

Solving Equations with Decimal Numbers

### 5. Percents

##### Basics of Percent

Solving Percent Problems Using Proportions

Solving Percent Problems Using Equations

Applications of Percent

Simple and Compound Interest

Reading Graphs

### 6. Measurement and Geometry

##### US Measurements

The Metric System: Length and Area

The Metric System: Weight and Volume

US and Metric Equivalents

Angles and Triangles

Perimeter

Area

Volume and Surface Area

Similar and Congruent Triangles

Square Roots and the Pythagorean Theorem

### 7. Solving Linear Equations and Inequalities

##### Properties of Real Numbers

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

Solving Linear Equations: ax + b = c

Solving Linear Equations: ax + b = cx + d

Working with Formulas

Applications: Number Problems and Consecutive Integers

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

Solving Linear Inequalities

Compound Inequalities

Absolute Value Equations

Absolute Value Inequalities

### 8. Graphing Linear Equations and Inequalities

##### The Cartesian Coordinate System

Graphing Linear Equations in Two Variables

Slope-Intercept Form

Point-Slope Form

Introduction to Functions and Function Notation

Graphing Linear Inequalities in Two Variables

### 9. Systems of Linear Equations

##### Systems of Linear Equations: Solutions by Graphing

Systems of Linear Equations: Solutions by Substitution

Systems of Linear Equations: Solutions by Addition

Applications: Distance-Rate-Time, Number Problems, Amounts, and Costs

Applications: Interest and Mixture

Systems of Linear Equations: Three Variables

Matrices and Gaussian Elimination

Systems of Linear Inequalities

### 10. Exponents and Polynomials

##### Rules for Exponents

Power Rules for Exponents

Applications: Scientific Notation

Introduction to Polynomials

Addition and Subtraction with Polynomials

Multiplication with Polynomials

Special Products of Binomials

Division with Polynomials

Synthetic Division and the Remainder Theorem

### 11. Factoring Polynomials

##### Greatest Common Factor (GCF) and Factoring by Grouping

Factoring Trinomials: x^2+bx+c

Factoring Trinomials: ax^2+bx+c

Special Factoring Techniques

Review of Factoring Techniques

Solving Quadratic Equations by Factoring

Applications: Quadratic Equations

### 12. Rational Expressions

##### Introduction to Rational Expressions

Multiplication and Division with Rational Expressions

Least Common Multiple of Polynomials

Addition and Subtraction with Rational Expressions

Simplifying Complex Fractions

Solving Rational Equations

Applications: Rational Expressions

Applications: Variation

### 13. Roots, Radicals, and Complex Numbers

##### Evaluating Radicals

Rational Exponents

Simplifying Radicals

Addition, Subtraction, and Multiplication with Radicals

Rationalizing Denominators

Solving Radical Equations

Functions with Radicals

Introduction to Complex Numbers

Multiplication and Division with Complex Numbers

### 14. Quadratic Equations

##### Quadratic Equations: The Square Root Method

Quadratic Equations: Completing the Square

Quadratic Equations: The Quadratic Formula

More Applications of Quadratic Equations

Equations in Quadratic Form

Graphing Quadratic Functions

More on Graphing Functions and Applications

Solving Polynomial and Rational Inequalities

### 15. Exponential and Logarithmic Functions

##### Algebra of Functions

Composition of Functions and Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Common Logarithms and Natural Logarithms

Logarithmic and Exponential Equations and Change-of-Base

Applications: Exponential and Logarithmic Functions

### 16. Conic Sections

##### Translations and Reflections

Parabolas as Conic Sections

Distance Formula, Midpoint Formula, and Circles

Ellipses and Hyperbolas

Nonlinear Systems of Equations

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