Prentice Hall Algebra 1 2007/2009

Chapter 1: Variables, Function Patterns, and Graphs

1-1: Using Variables

• Simplifying Algebraic Expressions

• Writing Algebraic Expressions

1-2: Exponents and Order of Operations

• Simplifying Expressions with the Order of Operations

1-3 Exploring Real Numbers

• Comparing and Ordering Real Numbers

1-4: Introducing Functions

• Identifying and Representing Patterns that Describe Linear Functions

1-5: Scatter Plots

• Writing an Equation of a Trend Line and Line of Best Fit
• Using a Trend Line and a Line of Best Fit

1-6: Mean, Median, Mode, and Range

• Finding Mean, Median, Mode, and Range

Chapter 2: Rational Numbers

2-1: Adding Rational Numbers

• Adding and Subtracting Rational Expressions

2-2: Subtracting Rational Numbers

• Adding and Subtracting Rational Expressions

2-3: Multiplying and Dividing Rational Numbers

• Multiplying and Dividing Rational Expressions

2-4: The Distributive Property

• Using the Distributive Property

2-5: Properties of Numbers

• Identifying and Using the Properties of Real Numbers

2-6: Theoretical and Experimental Probability

• Finding Theoretical and Experimental Probabilities
  

2-7: Probability of Compound Events

• Finding Probabilities of Independent and Dependent Events
• Finding Probabilities of Mutually Exclusive Events

Chapter 3: Solving Equations

3-1: Solving Two-Step Equations

•  Solving Two Step Equations

3-2: Solving Multi-Step Equations

• Solving Multi-Step Equations

3-3: Equations With Variables on Both Sides

• Solving Equations with Variables on Both Sides of the Equation

3-4: Ratio and Proportion

• Finding Ratios and Rates

3-5: Proportions and Similar Figures

• Using Similar Figures When Measuring Indirectly
• Finding Missing Lengths in Similar Figures

3-6: Equations and Problem Solving

• Solving and Applying Proportions
• Solving Percent Problems Using Percent Equation

3-7: Percent of Change

• Finding Percent Change
• Finding Percent Error

3-8: Finding and Estimating Square Roots

• Finding and Estimating Square Roots

3-9: The Pythagorean Theorem

• Solving Problems with the Pythagorean Theorem
  
• Identifying Right Triangles

Chapter 4: Solving Inequalities

4-1: Inequalities and Their Graphs

• Writing, Graphing, and Identifying Solutions of Inequalities
• Graphing Linear Inequalities

4-2: Solving Inequalities Using Addition and Subtraction

• Using Addition and Subtraction to Solve Inequalities

4-3: Solving Inequalities Using Multiplication and Division

• Using Multiplication and Division to Solve Inequalities

4-4: Solving Multi-Step Inequalities

• Solving Multi-Step Inequalities

4-5: Compound Inequalities

• Solving and Graphing “And” Compound Inequalities
• Solving and Graphing “Or” Compound Inequalities

4-6: Absolute Value Equations and Inequalities

• Solving Equations Involving Absolute Value
• Solving Inequalities Involving Absolute Value

Chapter 5: Graphs and Functions

5-1: Relating Graphs to Events

• Representing Relationships Using Graphs

5-2: Relations and Functions

• Determining Whether a Relation is a Function
• Finding Domain and Range

5-3: Function Rules, Tables, and Graphs

5-4: Writing a Function Rule

5-5: Direct Variation

• Writing and Graphing an Equation of Direct Variation

5-6: Inverse Variation

• Writing Equations for Inverse Variations

5-7: Describing Number Patterns

• Identifying and Representing Patterns that Describe Linear Functions

Chapter 6: Linear Equations and Their Graphs

6-1: Rate of Change and Slope

• Finding Slopes from Tables
• Finding Slope

6-2: Slope-Intercept Form

• Writing Linear Equations in Slope-Intercept Form

6-3: Applying Linear Functions

6-4: Standard Form

• Graphing Linear Equations Using Intercepts
• Writing Linear Equations in Standard Form

6-5: Point-Slope Form and Writing Linear Equations

• Using Point-Slope Form

6-6: Parallel and Perpendicular Lines

• Determining Whether Lines are Parallel, Perpendicular, or Neither
• Writing Equations of Parallel and Perpendicular Lines

6-7: Scatter Plots and Equations of Lines

• Writing an Equation of a Trend Line and Line of Best Fit
• Using a Trend Line and a Line of Best Fit

6-8: Graphing Absolute Value Equations

• Graphing Absolute Value Function
• Translating a Graph of an Absolute Value

Chapter 7: Systems of Equations and Inequalities

7-1: Solving Systems by Graphing

• Solving Systems of Equations by Graphing
• Analyzing Special Systems

7-2: Solving Systems Using Substitution

• Solving Systems of Equations Using Substitution

7-3: Solving Systems Using Elimination

• Solving Systems by Eliminating a Variable

7-4: Applications of Linear Systems

• Choosing the Best Method for Solving a System of Linear Equations

7-5: Linear Inequalities

• Graphing Linear Inequalities
• Modeling Real-World Situations Using Systems of Linear Inequalities

7-6: Systems of Linear Inequalities

• Solving Systems of Linear Inequalities by Graphing

Chapter 8: Exponents and Exponential Functions

8-1: Zero and Negative Exponents

• Simplifying Expressions Involving Zero and Negative Exponents

8-2: Scientific Notation

8-3: Multiplication Properties of Exponents

• Multiplying Powers With the Same Base

8-4: More Multiplication Properties of Exponents

• Raising a Power to a Power
• Raising a Product to a Power

8-5: Division Properties of Exponents

• Dividing Powers with the Same Base
• Raising a Quotient to a Power

8-6: Geometric Sequences

• Writing and Using Recursive Formulas for Geometric Sequences

8-7: Exponential Functions

• Graphing Exponential Functions

8-8: Exponential Growth and Decay

• Modeling Exponential Growth and Decay

Chapter 9: Polynomials and Factoring

9-1: Adding and Subtracting Polynomials

• Classifying Polynomials
• Adding and Subtracting Polynomials

9-2: Multiplying and Factoring

• Multiplying a Monomial by a Polynomial
• Factoring a Monomial from a Polynomial

9-3: Multiplying Binomials

• Multiplying Two Binomials or a Binomial by a Trinomial

9-4: Multiplying Special Cases

• Finding the Square of a Binomial and Finding the Product of a Sum and Difference

9-5: Factoring Trinomials of the Type x^2 + bx + c

• Factoring Trinomials of the Form x^2+bx+c

9-6: Factoring Trinomials of the Type ax^2 + bx + c

• Factoring Trinomials of the Form ax^2+bx+c

9-7: Factoring Special Cases

• Factoring Perfect Square Polynomials and Differences of Two Squares

9-8: Factoring by Grouping

• Factoring Higher-Degree Polynomials by Grouping

Chapter 10: Quadratic Equations and Functions

10-1: Exploring Quadratic Graphs

• Graphing a Quadratic Function of the Form ax² and ax²+c

10-2: Quadratic Functions

• Graphing Quadratic Functions of the Form ax²+bx+c

10-3: Solving Quadratic Equations

• Solving Quadratic Equations by Graphing
• Solving Quadratic Equations Using Square Roots

10-4: Factoring to Solve Quadratic Equations

• Solving Quadratic Equations by Factoring

10-5: Completing the Square

• Solving Quadratic Equations by Completing the Square

10-6: Using the Quadratic Formula

• Solving Quadratic Equations using the Quadratic Formula

10-7: Using the Discriminant

• Finding the Number of Solutions of a Quadratic Equation

10-8: Choosing a Linear, Quadratic, or Exponential Model

• Choosing a Linear, Quadratic, or Exponential Model for Data

Chapter 11: Radical Expressions and Equations

11-1: Simplifying Radicals

• Simplifying Radicals Involving Products and Quotients

11-2: Operations With Radical Expressions

• Simplifying Sums and Differences of Radical Expressions
• Simplifying Products and Quotients of Radical Expressions

11-3: Solving Radical Equations

• Solving Equations Containing Radicals
• Identifying Extraneous Solutions

11-4: Graphing Square Root Functions

• Graphing Square Root Functions
• Translating Graphs of Square Root Functions

11-5: Trigonometric Ratios

• Finding and Using Trigonometric Ratios

11-6: Angles of Elevation and Depression

• Finding and Using Trigonometric Ratios

Chapter 12: Rational Expressions and Functions

12-1: Graphing Rational Functions

• Graphing Rational Functions

12-2: Simplifying Rational Expressions

• Simplifying Rational Expressions

12-3: Multiplying and Dividing Rational Expressions

• Multiplying and Dividing Rational Expressions

12-4: Dividing Polynomials

• Dividing Polynomials

12-5: Adding and Subtracting Rational Equations

• Adding and Subtracting Rational Expressions

12-6: Solving Rational Equations

• Solving Rational Equations and Proportions

12-7: Counting Methods and Permutations

• Finding Probabilities of Mutually Exclusive Events
• Finding Probabilities of Independent and Dependent Events
  
• Finding Permutations and Combinations

12-8: Combinations

• Finding Permutations and Combinations