Pathways to College Mathematics

R.1 Exponents, Prime Numbers, and LCM

• Examples
• Example 1: Writing Expressions using Exponents
• Example 2: Evaluating Exponential Expressions
• Example 3: Determining Prime Numbers
• Example 4: Determining Composite Numbers
• Example 5: Finding the Prime Factorization of a Number
• Example 6: Find the Prime Factorization of Each Number
• Example 7: Finding the Least Common Multiple (LCM)
• Example 8: Finding the Least Common Multiple (LCM)

R.2 Fractions (Multiplication and Division)

• Examples
• Example 1: Understanding Fractions
• Example 2: Multiplying Fractions
• Example 3: Multiplying Fractions
• Example 4: Multiplying Fractions
• Example 5: Finding Equivalent Fractions
• Example 6: Finding Equivalent Fractions
• Example 7: Reducing Fractions to Lowest Terms
• Example 8: Reducing Fractions to Lowest Terms
• Example 9: Multiplying and Reducing Fractions
• Example 10: Multiplying and Reducing Fractions
• Example 11: Multiplying and Reducing Fractions
• Example 12: Dividing Fractions
• Example 13: Dividing and Reducing Fractions
• Example 14: Application: Writing and Reducing Fractions
• Example 15: Application: Dividing Fractions

R.3 Fractions (Addition and Subtraction)

• Examples
• Example 1: Adding Fractions with the Same Denominator
• Example 2: Adding Fractions with the Same Denominator
• Example 3: Adding Fractions with Different Denominators
• Example 4: Adding Fractions with Different Denominators
• Example 5: Application: Adding Fractions
• Example 8: Subtracting Fractions with the Same Denominator
• Example 7: Subtracting Fractions with Different Denominators
• Example 8: Subtracting Fractions with Different Denominators

R.4 Decimal Numbers

• Examples
• Example 1: Writing in Decimal Notation
• Example 2: Reading and Writing Decimal Numbers
• Example 3: Reading and Writing Decimal Numbers
• Example 4: Comparing Decimal Numbers
• Example 5: Comparing Decimal Numbers
• Example 6: Adding Decimal Numbers
• Example 7: Subtracting Decimal Numbers
• Example 8: Application: Adding and Subtracting Decimal Numbers
• Example 9: Multiplying Decimal Numbers
• Example 10: Dividing Decimal Numbers
• Example 11: Dividing Decimal Numbers and Rounding
• Example 12: Changing Decimal Numbers to Percents
• Example 13: Changing Percents to Decimal Numbers

R.5 Bar Graphs, Pictographs, Circle Graphs, and Line Graphs

• Examples
• Example 1: Reading a Bar Graph
• Example 2: Reading a Pictograph
• Example 3: Reading a Circle Graph
• Example 4: Reading a Line Graph

1.1 The Real Number Line and Absolute Value

• Examples
• Example 1: Finding the Opposite of an Integer
• Example 2: Graphing Integers on a Number Line
• Example 3: Identifying Types of Numbers
• Example 5: Graphing Sets of Numbers
• Example 6: Verifying Inequalities
• Example 7: Finding Absolute Values
• Example 8: Verifying Absolute Value Inequalities
• Example 9: Solving Absolute Value Equations
• Example 10: Solving Absolute Value Equations

1.2 Operations with Real Numbers

• Examples
• Example 1: Addition with Like Signs
• Example 2: Addition with Unlike Signs
• Example 3: Application: Reading a Table
• Example 4: Application: Calculating the Perimeter of a Rectangle
• Example 5: Subtraction with Real Numbers
• Example 6: Application: Calculating Change in Value
• Example 7: Multiplication with Positive and Negative Real Numbers
• Example 8: Application: Calculating the Area of a Rectangle
• Example 9: Division with Positive and Negative Real Numbers
• Example 10: Division with 0

1.3 Problem Solving with Real Numbers

• Examples
• Example 1: Application: Adding Real Numbers
• Example 2: Application: Multiplying Real Numbers
• Example 3: Application: Dividing Real Numbers
• Example 4: Application: Calculating Loan Amounts
• Example 5: Application: Balancing a Checking Account
• Example 6: Calculating an Average
• Example 7: Application: Calculating an Average
• Example 8: Application: Calculating an Average
• Example 9: Application: Calculating an Average

1.4 Square Roots and Order of Operations with Real Numbers

• Examples
• Example 1: Finding Square Roots
• Example 2: Using the Order of Operations with Real Numbers
• Example 3: Using the Order of Operations with Real Numbers
• Example 4: Using the Order of Operations with Real Numbers
• Example 5: Using the Order of Operations with Real Numbers
• Example 7: Using the Order of Operations with Real Numbers
• Example 8: Using the Order of Operations with Real Numbers

1.5 Properties of Real Numbers

• Examples
• Example 1: Identifying Properties of Addition and Multiplication
• Example 2: Identifying Properties of Addition and Multiplication

1.6 Simplifying and Evaluating Algebraic Expressions

• Examples
• Example 1: Identifying Like Terms
• Example 2: Combining Like Terms
• Example 3: Evaluating Algebraic Expressions
• Example 4: Simplifying and Evaluating Algebraic Expressions
• Example 5: Simplifying and Evaluating Algebraic Expressions
• Example 6: Simplifying and Evaluating Algebraic Expressions

1.7 Translating English Phrases and Algebraic Expressions

• Examples
• Example 1: Translating English Phrases into Algebraic Expressions
• Example 2: Application: Translating English Phrases
• Example 3: Translating Algebraic Expressions into English Phrases
• Example 4: Translating Equations into Word Problems

2.1 Solving One-Step Linear Equations

• Examples
• Example 1: Checking Given Solutions in Equations
• Example 2: Solving Linear Equations of the Form x + b = c
• Example 3: Solving Linear Equations of the Form x + b = c
• Example 4: Solving Linear Equations of the Form x + b = c
• Example 5: Solving Linear Equations of the Form x + b = c
• Example 6: Simplifying and Solving Linear Equations
• Example 8: Solving Linear Equations of the Form ax = c
• Example 9: Solving Linear Equations of the Form ax=c
• Example 10: Solving Linear Equations of the Form ax = c
• Example 12: Application: Solving Linear Equations

2.2 Solving Multi-Step Linear Equations

• Examples
• Example 1: Solving Linear Equations of the Form ax + b = c
• Example 2: Solving Linear Equations of the Form ax + b = c
• Example 3: Solving Linear Equations Involving Decimals
• Example 4: Solving Linear Equations Involving Fractions
• Example 5: Solving Equations of the Form ax + b = cx + d
• Example 6: Solving Equations of the Form ax + b = cx + d
• Example 7: Solving Linear Equations Involving Decimals
• Example 8: Solving Linear Equations Involving Fractions
• Example 9: Solving Equations Involving Parentheses
• Example 11: Determining Types of Equations
• Example 12: Determining Types of Equations
• Example 13: Determining Types of Equations

2.3 Working with Formulas

• Examples
• Example 1: Application: Evaluating Formulas
• Example 2: Evaluating Formulas
• Example 3: Application: Evaluating Formulas
• Example 4: Evaluating Formulas
• Example 5: Solving for Different Variables
• Example 6: Solving for Different Variables
• Example 7: Solving for Different Variables
• Example 8: Solving for Different Variables

2.4 Applications of Linear Equations

• Examples
• Example 1: Solving Number Problems
• Example 2: Solving Number Problems
• Example 3: Application: Calculating Living Expenses
• Example 4: Application: Calculating Costs of Purchases
• Example 5: Application: Solving Distance-Rate-Time Problems
• Example 6: Application: Solving Distance-Rate-Time Problems
• Example 7: Application: Finding the Average (or Mean)
• Example 8: Application: Calculating Selling Price

2.5 Ratios, Rates, and Proportions

• Examples
• Example 1: Application: Writing Ratios
• Example 2: Application: Writing Ratios from Graphs
• Example 3: Writing Ratios in Geometry
• Example 4: Writing a Rate
• Example 5: Application: Writing a Unit Rate
• Example 6: Application: Comparing Unit Prices
• Example 7: Verifying Proportions
• Example 8: Solving Proportions
• Example 9: Solving Proportions
• Example 10: Application: Solving Proportions
• Example 11: Application: Solving Proportions

2.6 Modeling using Variation

• Examples
• Example 1: Direct Variation
• Example 2: Application: Direct Variation
• Example 3: Inverse Variation
• Example 4: Application: Inverse Variation
• Example 5: Joint Variation
• Example 6: Application: More Variation
• Example 7: Application: More Variation
• Example 8: Application: More Variation

2.7 Solving Linear Inequalities in One Variable

• Examples
• Example 1: Graphing Intervals
• Example 2: Graphing Intervals
• Example 3: Graphing Intervals
• Example 4: Graphing Intervals
• Example 5: Solving an Inequality and Graphing the Solution Set
• Example 6: Solving an Inequality and Graphing the Solution Set
• Example 7: Solving an Inequality and Graphing the Solution Set
• Example 8: Solving an Inequality and Graphing the Solution Set
• Example 9: Solving Linear Inequalities
• Example 10: Solving Linear Inequalities
• Example 12: Solving Compound Inequalities
• Example 13: Solving Compound Inequalities
• Example 14: Application: Using Inequalities
• Example 15: Application: Using Inequalities

3.1 The Cartesian Coordinate System, Scatter Plots, and Linear Equations

• Examples
• Example 1: Graphing Ordered Pairs
• Example 2: Reading Points on a Graph
• Example 3: Creating a Scatter Plot
• Example 4: Graphing a Linear Equation in Two Variables
• Example 5: Graphing a Linear Equation in Two Variables
• Example 6: Graphing a Linear Equation in Two Variables
• Example 7: Using Intercepts to Graph Linear Equations
• Example 8: Using Intercepts to Graph Linear Equations

3.2 Slope-Intercept Form

• Examples
• Example 1: Finding the Slope of a Line
• Example 2: Finding the Slope of a Line
• Example 3: Finding the Slope of a Horizontal Line
• Example 4: Finding the Slope of a Vertical Line
• Example 5: Using Slope and the y‑Intercept to Graph a Line
• Example 6: Using Slope and the y-Intercept to Graph a Line
• Example 7: Finding Equations Given the Slope and the y‑Intercept

3.3 Point-Slope Form

• Examples
• Example 1: Graphing a Line Given a Point and the Slope
• Example 2: Finding Equations of Lines Using a Point and the Slope
• Example 3: Finding Equations of Lines Given Two Points
• Example 4: Finding Equations of Lines Using a Graph
• Example 5: Finding Equations of Parallel Lines
• Example 6: Finding Equations of Perpendicular Lines

3.4 Introduction to Functions and Function Notation

• Examples
• Example 1: Finding the Domain and Range
• Example 2: Reading the Domain and Range from the Graph of a Relation
• Example 3: Determining Whether a Relation is a Function
• Example 4: Using the Vertical Line Test
• Example 5: Finding the Domain of a Function
• Example 6: Evaluating Functions
• Example 7: Evaluating Nonlinear Functions

3.5 Linear Correlation and Regression

• Examples
• Example 1: Identifying Correlations
• Example 2: Correlation Coefficients
• Example 3: Using Linear Regression to Model a Date Set

3.6 Systems of Linear Equations in Two Variables

• Examples
• Example 1: Solving a Consistent System by Graphing
• Example 2: Solving a Consistent System by Graphing
• Example 4: Solving an Inconsistent System by Substitution
• Example 5: Solving a Consistent System by Addition
• Example 6: Solving a Consistent System by Addition
• Example 7: Application: Mixture
• Example 8: Application: Interest
• Example 9: Application: Work

3.7 Graphing Linear Inequalities in Two Variables

• Examples
• Example 1: Graphing Linear Inequalities
• Example 2: Graphing Linear Inequalities
• Example 3: Graphing Linear Inequalities
• Example 4: Solving Systems of Linear Inequalities
• Example 5: Solving Systems of Linear Inequalities
• Example 6: Solving Systems of Linear Inequalities

4.1 Exponents

• Examples
• Example 2: Evaluating the Exponent 0
• Example 3: Using the Quotient Rule for Exponents
• Example 4: Simplifying Expressions with Negative Exponents
• Example 5: Using Combinations of the Rules for Exponents
• Example 6: Using Two Approaches with Fractional Expressions and Negative Exponents
• Example 7: Simplifying a More Complex Example

4.2 Scientific Notation

• Examples
• Example 1: Writing Decimals in Scientific Notation
• Example 2: Using Scientific Notation while Simplifying
• Example 3: Application: Scientific Notation

4.3 Modeling with Exponential Functions

• Examples
• Example 1: Application: Linear Models versus Exponential Models
• Example 2: Graphing Exponential Functions
• Example 3: Application: Exponential Growth
• Example 4: Application: Exponential Decay
• Example 5: Application: Continuously Compounded Interest

4.4 Addition and Subtraction with Polynomials

• Examples
• Example 1: Adding Polynomials
• Example 2: Adding Polynomials in a Vertical Format
• Example 3: Subtracting Polynomials
• Example 4: Subtracting Polynomials
• Example 5: Evaluating Polynomials

4.5 Multiplication with Polynomials

• Examples
• Example 1: Multiplying Polynomials
• Example 2: Multiplying Polynomials
• Example 4: Multiplying Polynomials
• Example 5: Multiplication with Polynomials
• Example 6: Using the FOIL Method to Multiply Binomials
• Example 7: Using the FOIL Method to Multiply Binomials
• Example 8: Using the FOIL Method to Multiply Binomials
• Example 10: Difference of Two Squares
• Example 11: Squares of Binomials (Perfect Square Trinomials)

5.1 GCF and an Introduction to Factoring Polynomials

• Examples
• Example 1: Finding the GCF
• Example 2: Dividing by a Monomial
• Example 3: Factoring Out the GCF of a Polynomial
• Example 4: Factoring Out the GCF of a Polynomial
• Example 5: Factoring Out the GCF of a Polynomial
• Example 6: Factoring Out the GCF of a Multi-Variable Polynomial
• Example 7: Factoring Out a Common Binomial Factor
• Example 8: Factoring Polynomials by Grouping
• Example 9: Factoring Polynomials by Grouping
• Example 10: Factoring Polynomials by Grouping
• Example 11: Factoring Polynomials by Grouping
• Example 12: Factoring Polynomials by Grouping

5.2 Factoring Trinomials

• Examples
• Example 6: Using the ac-Method
• Example 7: Using the ac-Method

5.3 Special Factoring Techniques and General Guidelines for Factoring

• Examples
• Example 1: Factoring the Difference of Two Squares
• Example 2: Factoring the Sum of Two Squares (Not Factorable)
• Example 3: Factoring Perfect Square Trinomials
• Example 4: Factoring Sums and Differences of Two Cubes

5.4 Solving Quadratic Equations by Factoring

• Examples
• Example 1: Solving Factored Quadratic Equations
• Example 2: Solving Quadratic Equations by Factoring
• Example 3: Solving Quadratic Equations by Factoring
• Example 4: Solving Quadratic Equations by Factoring
• Example 5: Solving Quadratic Equations by Factoring
• Example 6: Solving Quadratic Equations by Factoring
• Example 7: Solving Quadratic Equations by Factoring
• Example 9: Solving Higher Degree Equations

5.5 Operations with Radicals

• Examples
• Example 1: Evaluating Square Roots
• Example 2: Evaluating Square Roots
• Example 3: Estimating Square Roots
• Example 4: Simplifying Radical Expressions
• Example 5: Adding and Subtracting Radicals
• Example 7: Multiplying Radicals
• Example 8: Multiplying Radicals

5.6 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula

• Examples
• Example 1: Using the Square Root Property
• Example 2: Using the Square Root Property
• Example 3: Using the Square Root Property
• Example 4: Using the Square Root Property
• Example 5: Using the Square Root Property
• Example 7: The Quadratic Formula
• Example 8: The Quadratic Formula
• Example 9: The Quadratic Formula
• Example 11: The Quadratic Formula
• Example 12: The Quadratic Formula and a Double Solution
• Example 13: The Quadratic Formula and Nonreal Solutions

5.7 Applications of Quadratic Equations

• Examples
• Example 1: Solving Quadratic Number Problems
• Example 2: Application: Solving Quadratic Equations
• Example 3: Finding the Dimensions of a Rectangle
• Example 4: Application: Finding the Dimensions of a Rectangle
• Example 5: Application: Finding the Dimensions of a Box
• Example 6: Application: The Pythagorean Theorem
• Example 7: Application: The Pythagorean Theorem
• Example 8: Using The Pythagorean Theorem

5.8 Graphing Quadratic Functions

• Examples
• Example 1: Graphing a Quadratic Function (b = 0)
• Example 2: Graphing a Quadratic Function
• Example 3: Graphing a Quadratic Function (c = 0)
• Example 4: Application: Modeling the Path of a Projectile
• Example 6: Application: Minimum and Maximum Values

6.1 US Measurements

• Examples
• Example 1: Basic Conversions in the US Customary System
• Example 2: Converting US Units of Measure Using Multiplication/Division
• Example 3: Application: Converting US Units of Measure
• Example 4: Using Unit Fractions to Convert US Units of Measure
• Example 5: Application: Converting US Units of Measure
• Example 6: Application: Converting US Units of Measure

6.2 The Metric System: Length and Area

• Examples
• Example 1: Converting Metric Units of Length
• Example 2: Application: Converting Metric Units of Length
• Example 3: Converting Metric Units of Length
• Example 4: Converting Metric Units of Length
• Example 5: The Prefixes Mega-, Giga-, and Tera-
• Example 6: Converting Metric Units of Area
• Example 7: Converting Metric Units of Area
• Example 8: Converting Metric Units of Area
• Example 9: Converting Metric Units of Land Area

6.3 The Metric System: Capacity and Weight

• Examples
• Example 1: Common Metric Units of Capacity
• Example 2: Converting Metric Units of Capacity
• Example 3: Converting Metric Units of Capacity
• Example 4: Converting Metric Units of Capacity
• Example 5: Application: Converting Metric Units of Capacity
• Example 7: Converting Metric Units of Weight
• Example 8: Application: Converting Metric Units of Weight

6.4 US and Metric Equivalents

• Examples
• Example 1: Equivalent Measures of Temperature
• Example 2: Converting Units of Temperature
• Example 3: Converting Units of Temperature
• Example 4: Converting Units of Length
• Example 5: Converting Units of Area
• Example 6: Converting Units of Capacity (Liquid Volume)
• Example 7: Converting Units of Weight (Mass)

6.5 Angles

• Examples
• Example 1: Measuring Angles
• Example 2: Classifying Angles by Their Measure
• Example 3: Identifying Complementary and Supplementary Angles
• Example 4: Calculating Measures of Angles
• Example 5: Identifying Congruent Angles
• Example 6: Calculating Measures of Angles
• Example 7: Finding Adjacent Angles
• Example 8: Calculating Measures of Angles

6.6 Triangles

• Examples
• Example 1: Classifying a Triangle by Its Sides
• Example 2: Determining Whether a Triangle Exists
• Example 3: Analyzing Triangles
• Example 4: Determining Whether Triangles are Similar
• Example 5: Finding Unknown Values Using Similar Triangles
• Example 6: Application: Finding Unknown Values Using Similar Triangles
• Example 7: Determining Whether Triangles are Congruent
• Example 8: Verifying Right Triangles
• Example 9: Finding the Length of the Hypotenuse
• Example 10: Finding the Length of a Leg
• Example 11: Finding the Length of the Hypotenuse

6.7 Perimeter and Area

• Examples
• Example 1: Calculating the Perimeter of a Square
• Example 2: Calculating the Perimeter of a Triangle
• Example 3: Calculating the Perimeter of a Polygon
• Example 4: Application: Calculating the Perimeter of a Polygon
• Example 5: Calculating the Circumference of a Circle
• Example 6: Calculating the Perimeter
• Example 7: Calculating Perimeter
• Example 8: Calculating the Area of a Triangle
• Example 9: Calculating the Area of a Trapezoid
• Example 10: Calculating the Area of a Circle
• Example 11: Calculating the Area of a Composite Figure
• Example 12: Calculating Area
• Example 13: Calculating Area

6.8 Volume and Surface Area

• Examples
• Example 1: Calculating the Volume of a Rectangular Solid
• Example 2: Calculating the Volume of a Sphere
• Example 3: Calculating the Volume of a Cone
• Example 4: Calculating the Volume of a Solid
• Example 5: Finding the Volume of a Cube
• Example 6: Calculating the Surface Area of a Rectangular Solid
• Example 7: Calculating the Surface Area of a Cylinder

6.9 Right Triangle Trigonometry

• Examples
• Example 1: Finding Values of Trig Functions
• Example 3: Solving a Right Triangle
• Example 4: Solving a Right Triangle

7.1 Percents

• Examples
• Example 1: Changing between Percents and Decimal Numbers
• Example 2: Changing between Percents and Fractions
• Example 3: Finding the Amount
• Example 4: Finding the Base
• Example 5: Finding the Percent
• Example 6: Application: Finding a Discount
• Example 7: Application: Calculating Sales Tax
• Example 8: Application: Determining Commission
• Example 9: Application: Finding the Percent Increase
• Example 10: Application: Finding the Percent Decrease
• Example 11: Application: Calculating Percent of Profit

7.2 Simple and Compound Interest

• Examples
• Example 1: Application: Calculating Simple Interest
• Example 3: Application: Calculating Total Amount Due
• Example 4: Application: Calculating Principal Using Simple Interest
• Example 5: Application: Calculating Time Using Simple Interest
• Example 6: Application: Calculating Compound Interest
• Example 7: Application: Calculating Compound Interest
• Example 8: Application: Using the Compound Interest Formula
• Example 9: Application: Calculating Total Interest Earned
• Example 11: Application: Calculating Inflation
• Example 12: Application: Calculating the Current Value Due to Depreciation

7.3 Buying a Car

• Examples
• Example 1: Finding the Financed Amount of a Car Purchase
• Example 2: Calculating Car Payments and Finance Charges
• Example 3: Finding the APR of a Loan
• Example 4: Budgeting for Car Expenses

7.4 Buying a House

• Examples
• Example 1: Determining the Mortgage Amount and Closing Costs
• Example 2: Determining a Monthly Mortgage Payment
• Example 3: Determining Whether You Can Afford a House
• Example 4: Building an Amortization Table

8.1 Introduction to Sets

• Examples
• Example 1: Writing Sets Using Roster Notation
• Example 2: Writing Sets Using Roster Notation
• Example 3: Writing Sets Using Set-Builder Notation
• Example 4: Writing Sets
• Example 5: Using the Symbols ∈ and ∉
• Example 6: Using the Symbols ∈ and ∉
• Example 7: Recognizing the Empty Set
• Example 8: Finding All Proper Subsets of a Given Set
• Example 9: Using the symbols ⊆ and ⊂.

8.2 Venn Diagrams and Operations with Sets

• Examples
• Example 1: Interpreting Venn Diagrams
• Example 2: Interpreting a Venn Diagram with Disjoint Sets
• Example 3: Finding the Intersection of Two Sets
• Example 4: Finding the Intersection of Two Sets
• Example 5: Finding the Intersection of Two Sets
• Example 6: Drawing Venn Diagrams with Intersecting Sets
• Example 7: Drawing Venn Diagrams with Disjoint Sets
• Example 8: Finding the Union of Two Sets
• Example 9: Finding the Union of Two Sets
• Example 10: Using Venn Diagrams to Describe the Relationship Between Two Sets
• Example 11: Finding the Complement of a Set
• Example 12: Finding the Complement of a Set

8.3 Inductive and Deductive Reasoning

• Examples
• Example 1: Finding a CounterExample
• Example 2: Using Inductive Reasoning
• Example 3: Using Inductive Reasoning
• Example 4: Using Deductive Reasoning
• Example 5: Distinguishing between Inductive and Deductive Reasoning

8.4 Logic Statements, Negations, and Quantified Statements

• Examples
• Example 1: Identifying Statements
• Example 2: Negating Statements
• Example 3: Expressing Statements Symbolically
• Example 4: Negating Statements
• Example 5: Finding Statements Given Negations
• Example 6: Identifying Quantified Statements
• Example 7: Negating Quantified Statements

8.5 Compound Statements and Connectives

• Examples
• Example 1: Identifying Compound Statements
• Example 2: Writing Compound Statements with Conjunctions
• Example 3: Writing Compound Statements with Disjunctions
• Example 4: Writing Conditional Statements
• Example 5: Analyzing Conditional Statements
• Example 6: Writing Biconditional Statements
• Example 7: Working with Biconditional Statements
• Example 8: Working with Symbolic Logical Connectives
• Example 9: Expressing Logical Connectives Symbolically

8.6 Truth Tables

• Examples
• Example 1: Constructing a Truth Table for a Negation
• Example 2: Constructing a Truth Table for a Conjunction
• Example 3: Constructing a Truth Table for a Disjunction
• Example 4: Constructing a Truth Table for a Conditional Statement
• Example 5: Constructing a Truth Table for a Compound Statement

9.1 Introduction to Probability

• Examples
• Example 1: Tossing a Coin
• Example 2: Tossing a Coin Three Times
• Example 3: Rolling a Die
• Example 4: Choosing One Card from a Deck of Cards
• Example 5: Calculating Empirical Probability
• Example 6: Calculating Empirical Probability
• Example 7: Calculating Empirical Probability
• Example 8: Calculating Classical Probability
• Example 9: Calculating Classical Probability
• Example 10: Calculating Classical Probability
• Example 11: Using a Tree Diagram to Calculate Classical Probability

9.2 The Addition Rules of Probability and Odds

9.3 The Multiplication Rules of Probability and Conditional Probability

• Examples
• Example 1: Calculating Conditional Probability
• Example 2: Calculating Conditional Probability
• Example 3: Determining the Independence of Events
• Example 4: Using the Multiplication Rule for Independent Events
• Example 5: Using the Multiplication Rule for Independent Events
• Example 6: Using the Multiplication Rule for Independent Events
• Example 7: Using the Multiplication Rule for Independent Events
• Example 8: Using the Multiplication Rule for Dependent Events
• Example 9: Using the Multiplication Rule for Dependent Events

9.4 The Fundamental Counting Principle and Permutations

• Examples
• Example 1: Using the Fundamental Counting Principle
• Example 2: Simplifying Factorials
• Example 3: Calculating the Number of Permutations of n Elements Taken r at a Time
• Example 4: Calculating the Number of Permutations of n Elements Taken r at a Time

9.5 Combinations

• Examples
• Example 1: Differentiating between Combinations and Permutations
• Example 2: Calculating Combinations
• Example 3: Calculating Combinations
• Example 4: Calculating Combinations
• Example 5: Calculating Permutations and Combinations
• Example 6: Calculating Combinations

9.6 Using Counting Methods to Find Probability

• Examples
• Example 1: Calculating Probabilities Using Permutations
• Example 2: Calculating Probabilities Using Combinations
• Example 3: Calculating Probabilities Using Combinations
• Example 4: Calculating Probabilities Using Combinations

10.1 Collecting Data

• Examples
• Example 1: Identifying Populations and Samples
• Example 2: Identifying Sampling Techniques

10.2 Organizing and Displaying Data

• Examples
• Example 1: Reading a Frequency Distribution
• Example 2: Constructing a Frequency Distribution
• Example 3: Constructing a Grouped Frequency Distribution
• Example 4: Reading a Histogram
• Example 5: Constructing a Histogram and Frequency Polygon
• Example 6: Constructing a Stem-and-Leaf Plot

10.3 Measures of Center

• Examples
• Example 1: Finding the Mean
• Example 2: Application: Finding the Mean
• Example 3: Finding the Median
• Example 4: Finding the Median
• Example 5: Finding the Mode
• Example 6: Finding the Mode
• Example 7: Finding the Mode
• Example 8: Finding Measures of Central Tendency from a Frequency Distribution
• Example 9: Finding the Weighted Mean

10.4 Measures of Dispersion and Percentiles

• Examples
• Example 1: Finding the Range
• Example 2: Finding the Range
• Example 3: Finding the Standard Deviation
• Example 4: Using Percentiles
• Example 5: Determining Quartiles

10.5 The Normal Distribution

• Examples
• Example 1: Using Standard Deviation to Find a Data Value
• Example 2: Applying the Empirical Rule
• Example 3: Applying the Empirical Rule
• Example 4: Finding a z-Score
• Example 5: Application: Interpreting the z-Score

A.1 Matrices and Basic Matrix Operations

A.2 Logarithmic Functions

• Examples
• Example 1: Translating Between Exponential and Logarithmic Form
• Example 2: Evaluating Logarithms
• Example 3: Solving Logarithmic Equations
• Example 4: Solving Logarithmic Equations

A.3 Applications: Exponential and Logarithmic Functions

• Examples
• Example 1: Application: Exponential Growth
• Example 2: Application: Continuously Compounded Interest
• Example 3: Application: The Richter Scale
• Example 4: Application: The Richter Scale
• Example 5: Application: Half-life of Radium
• Example 6: Application: Newton's Law of Cooling