PowerPoints for Math 096 Intermediate Algebra

These are provided by the MSJC MVC Learning Center to support tutoring.

They are structured like the chapters in the current Math 096 textbook:

(Intermediate Algebra Concepts & Applications 8^th Edition by Bittinger/Ellenbogen).

They have been donated “as is” by Associate Instructor David Vandewater,

and include additional or alternate material not contained in the text.

Some sections do not have links because those Powerpoints do not exist yet.

Please report any errors or problems to the LRC with the chapter section and chart number.

Is this your first time here? You may be interested in an Overview of Powerpoint Use before you start.

They are not a substitute for classroom instruction,

but they may be of some help if a student misses a class day or needs to review it.

They work best when viewed with a tutor who can explain the points being illustrated.

They do not contain any class-specific information such as homework assignments or other requirements.

They are absolutely no substitute for a student purchasing a textbook,

1. Algebraic and Problem Solving

1. Some Basics of Algebra

2.Operations and Properties of Real Numbers

3.Solving Equations

4.Introduction to Problem Solving

5.Formulas, Models, and Geometry

6.Properties of Exponents

7.Scientific Notation

2. Graphs, Functions, and Linear Equations

1. Graphs

2.Functions

3.Linear Functions: Slope, Graphs, and Models

4.Another Look at Linear Graphs

5.Other Equations of Lines

6.The Algebra of Functions

3. Introduction to Graphing

1. Systems of Equations in Two Variables

2.Solving by Substitution or Elimination

3.Solving Applications: Systems of Two Equations

4.Systems of Equations in Three Variables

5.Solving Applications: Systems of Three Variables

6.Elimination Using Matrices

7.Determinants and Cramer's Rule

8.Business and Economics Applications

4. Inequalities and Problem Solving

1. Inequalities and Applications

2.Intersections, Unions, and Compound Inequalities

3.Absolute-Value Equations and Inequalities

4.Inequalities in Two Variables

5.Applications Using Linear Programming

5. Polynomials and Polynomial Functions

1. Introduction to Polynomials and Polynomial Functions

2.Multiplication of Polynomials

3.Common Factors and Factoring by Grouping

4.Factoring Trinomials

5.Factoring Perfect-Square Trinomials and Differences of Squares

6.Factoring Sums or Differences of Cubes

7.Factoring: A General Strategy

8.Applications of Polynomial Equations

6. Rational Expressions, Equations, and Functions

1. Rational Expressions and Functions: Multiplying and Dividing

2.Rational Expressions and Functions: Adding and Subtracting

3.Complex Rational Expressions

4.Rational Equations

5.Solving Applications Using Rational Equations

6.Division of Polynomials

7.Synthetic Division

8.Formulas, Applications, and Variation

7. Exponents and Radicals

1. Radical Expressions and Functions

2.Rational Numbers as Exponents

3.Multiplying Radical Expressions

4.Dividing Radical Expressions

5.Expressions Containing Several Radical Terms

6.Solving Radical Equations

7.The Distance and Midpoint Formulas and Other Applications

8.The Complex Numbers

8. Quadratic Functions and Equations

1. Quadratic Equations

2.The Quadratic Formula

3.Studying Solutions of Quadratic Equations

4.Applications Involving Quadratic Equations

5.Equations Reducible to Quadratic

6.Quadratic Functions and Their Graphs

7.More About Graphing Quadratic Functions

8.Problem Solving and Quadratic Functions

9.Polynomial and Rational Inequalities

9. Exponential and Logarithmic Functions

1. Composite and Inverse Functions

2.Exponential Functions

3.Logarithmic Functions

4.Properties of Logarithmic Functions

5.Common and Natural Logarithms

6.Solving Exponential and Logarithmic Equations

7.Applications of Exponential and Logarithmic Functions

10. Conic Sections

1. Conic Sections: Parabolas and Circles

2.Conic Sections: Ellipses

3.Conic Sections: Hyperbolas

4.Nonlinear Systems of Equations

11. Sequences, Series, and the Binomial Theorem

10.Sequences and Series

11. Arithmetic Sequences and Series

12.Geometric Sequences and Series

13.The Binomial Theorem