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Developmental Mathematics, 3rd Edition
Developmental 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
Exponents and Order of Operations
1.8
Tests for Divisibility
1.9
Prime Numbers and Prime Factorizations
Chapter 2: Fractions and Mixed Numbers
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
Chapter 3: Decimal Numbers
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
Chapter 4: Ratios, Proportions, and Percents
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
Chapter 5: Measurement
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
Chapter 6: Geometry
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
Chapter 7: Statistics, Graphs, and Probability
7.1
Statistics: Mean, Median, Mode, and Range
7.2
Reading Graphs
7.3
Constructing Graphs from Databases
7.4
Probability
Chapter 8: Introduction to Algebra
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
Chapter 9: Solving Linear Equations and Inequalities
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
Chapter 10: Graphing Linear Equations and 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
Chapter 11: Systems of Linear Equations
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
Chapter 12: Exponents and Polynomials
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
Chapter 13: Factoring Polynomials
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
Chapter 14: Rational Expressions
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
Chapter 15: Roots, Radicals, and Complex Numbers
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
Chapter 16: Quadratic Equations
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
Chapter 17: Exponential and Logarithmic Functions
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
Chapter 18: Conic Sections
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