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Preparation for College Mathematics, 3rd Edition
Preparation for College Mathematics, 3rd Edition
Chapter 0: Strategies for Academic Success
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
Chapter 1: Whole Numbers
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
Chapter 2: Integers
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
Chapter 3: Fractions, Mixed Numbers, and Proportions
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
Chapter 4: Decimal Numbers
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
Chapter 5: Percents
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
Chapter 6: Measurement and Geometry
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
Chapter 7: Solving Linear Equations and Inequalities
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
Chapter 8: Graphing Linear Equations and 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
Chapter 9: Systems of Linear Equations
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
Chapter 10: Exponents and Polynomials
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
Chapter 11: Factoring Polynomials
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
Chapter 12: Rational Expressions
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
Chapter 13: Roots, Radicals, and Complex Numbers
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
Chapter 14: Quadratic Equations
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
Chapter 15: Exponential and Logarithmic Functions
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
Chapter 16: Conic Sections
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