Lesson Previews

The following lessons were created as supplements for use with Prentice Hall's California Edition of  "Algebra 1"  by Smith, Charles, Dossey, and Bittinger shown below.  This text is one of the few on California's state list of approved textbooks for middle and high schools.  Keep in mind that these previews are pictures of the actual PowerPoint slides and they show no animation.  Please download this free PowerPoint lesson as a comparison:  Lesson 1-7 .   (Click here to download free PowerPoint viewer.)

Click on any highlighted lesson below to view its contents.  Students may use this site, www.AlgebraNotes.com, when they are absent.

Chapter 1: Introduction to Algebra

1-1: Symbols and Expressions ; 1-2: Commutative and Identity Properties ; 1-3: Exponential Notation ; 1-4: Associative Properties ; 1-5: Distributive Property ; 1-6: Writing Expressions; 1-7: Solving Equations ; 1-8: Reasoning Strategies: Drawing Diagrams; 1-9: Using Formulas ; 1-10: Reasoning Strategies: Try, Test, Revise.

Chapter 2: Integers and Rational Numbers

2-1: Integers and the Number Line ; 2-2: Rational Numbers ; 2-3: Addition of Rational Numbers ; 2-4: Subtraction of Rational Numbers ; 2-5: Multiplication of Rational Numbers ; 2-6: Division of Rational Numbers ; 2-7: Using the Distributive Property ; 2-8: Inverse of a Sum ; 2-9: Writing Equations ; 2-10: Number Properties and Proofs.

Chapter 3: Equations

3-1: Addition Property of Equality ; 3-2: Multiplication Property of Equality ; 3-3: Solving Multiple Step Equations ; 3-4: Expressions and Equations ; 3-5: More on Solving Equations; 3-6: Clearing and Equation of Fractions or Decimals; 3-7: Formulas ; 3-8: Solving Equations Involving Absolute Value ; 3-9: Proportions ; 3-10: Using Percents ; 3-11: More Expressions and Equations ; 3-12: Reasoning Strategies: Make an Organized List.

Chapter 4: Inequalities

4-1: Inequalities and Their Graphs ; 4-2: Addition Property of Inequalities ; 4-3: Multiplication Property of Inequalities ; 4-4: Solving Multiple Step Inequalities ; 4-5: Using Inequalities ; 4-6: Reasoning Strategies: Use Logical Reasoning.

Chapter 5: Exponents and Polynomials

5-1: Exponents ; 5-2: More Rules of Exponents ; 5-3: Multiplying and Dividing Monomials ; 5-4: Scientific Notation ; 5-5: Polynomials ; 5-6: More on Polynomials ; 5-7: Addition of Polynomials; 5-8: Subtraction of Polynomials ; 5-9: Multiplication of Monomials and Binomials ; 5-10: Multiplying Binomials: Special Products ; 5-11: Multiplying Polynomials ; 5-12: Reasoning Strategies: Make a Table, Look for a Pattern.

Chapter 6: Polynomials and Factoring

6-1: Factoring Polynomials ; 6-2: Difference of Two Squares ; 6-3: Trinomial Squares ; 6-4: Factoring x 2 + bx + c ; 6-5: Factoring ax 2 + bx + c ; 6-6: Factoring by Grouping ; 6-7: Factoring: A General Strategy ; 6-8: Solving Equations by Factoring ; 6-9: Using Equations that Factor

Chapter 7: Graphs and Linear Equations

7-1: Graphing Ordered Pairs ; 7-2: Graphing Equations ; 7-3: Linear Equations and Their Graphs ; 7-4 Slope ; 7-5: Equations and Slope ; 7-6: Finding the Equation of a Line ; 7-7: Fitting Equations to Data ; 7-8 Parallel and Perpendicular Lines ; 7-9: Proofs ; 7-10: Reasoning Strategies: Simplify the Problem.

Chapter 8: Systems of Equations

8-1: Solving Systems of Equations by Graphing ; 8-2: Substitution ; 8-3: Elimination ; 8-4: Using Systems of Equations ; 8-5: Rate, Time, and Distance Problems ; 8-6: Digit and Coin Problems.

Chapter 9: Inequalities and Absolute Value

9-1: Sets, Intersections and Unions ; 9-2: Compound Sentences ; 9-3: Equations and Absolute Value ; 9-4: Inequalities and Absolute Value ; 9-5: Inequalities in Two Variables ; 9-6: Graphing Systems of Linear Inequalities.

Chapter 10: Rational Expressions and Equations

10-1: Simplifying Rational Expressions ; 10-2: Multiplying Rational Expressions ; 10-3: Dividing Rational Expressions ; 10-4: Adding and Subtracting Like Denominators ; 10-5: Adding and Subtracting Unlike Denominators ; 10-6: Solving Rational Equations ; 10-7: Using Rational Equations ; 10-8: Mixture Problems; 10-9: Dividing Polynomials; 10-10: Complex Rational Expressions ; 10-11: Proofs ; 10-12 Reasoning Strategies: Work Backward.

Chapter 11: Radical Expressions and Equations

11-1: Square Roots ; 11-2a: Roots of Variable Expressions ; 11-2b: Square Root Method ; 11-3: Simplifying Radical Expressions ; 11-4: Multiplying Radical Expressions ; 11-5a: Radical Expressions Involving Division ; 11-5b: Rational Exponents ; 11-6: Addition and Subtraction ; 11-7a: Pythagorean Theorem ; 11-7b: Distance Formula ; 11-8: Using the Pythagorean Theorem ; 11-9: Equations with Radicals.

Chapter 12: Relations and Functions

12-1: Relations and Functions ; 12-2: Functions and Graphs ; 12-3: Linear Functions ; 12-4: Quadratic Functions ; 12-5: Direct Variation ; 12-6: Inverse Variation ; 12-7: Joint and Combined Variation.

Chapter 13: Quadratic Equations

13-1: Quadratic Equations ; 13-2: Solving Quadratic Equations ; 13-3: Completing the Square ; 13-4: The Quadratic Formula ; 13-5: Solving Rational Equations ; 13-6: Solving Radical Equations ; 13-7: Using Quadratic Equations.

 

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