BEIA Videos

(You will need the QuickTime Player to view these videoclips)

Chapter 1: Introduction to Algebraic Expressions

1.1 Introduction to Algebra

1.2 The Commutative, Associative, and Distributive Laws

1.3 Fraction Notation

1.4 Positive and Negative Real Numbers

1.5 Addition of Real Numbers

1.6 Subtraction of Real Numbers

1.7 Multiplication and Division of Real Numbers

1.8 Exponential Notation and Order of Operations

Chapter 2: Equations, Inequalities, and Problem Solving

2.1 Solving Equations: pages 80-88

2.2 Using the Principles Together

2.3 Formulas

2.4 Applications with Percent

2.5 Problem Solving

2.6 Solving Inequalities

2.7 Solving Applications with Inequalities

Chapter 3: Introduction to Graphing

3.1 Reading Graphs, Plotting Points, and Scaling Graphs

3.2 Graphing Linear Equations

3.3 Graphing and Intercepts

3.4 Rates

3.5 Slope

3.6 Slope-Intercept Form

3.7 Point-Slope Form

Chapter 4: Polynomials

4.1 Exponents and Their Properties

4.2 Polynomials

4.3 Addition and Subtraction of Polynomials

4.4 Multiplication of Polynomials

4.5 Special Products

4.6 Polynomials in Several Variables

4.7 Division of Polynomials

4.8 Negative Exponents and Scientific Notation

Chapter 5: Polynomials and Factoring

5.1 Introduction to Factoring

5.2 Factoring Trinomials of the Type x^2 + bx + c

5.3 Factoring Trinomials of the Type ax^2 + bx + c

5.4 Factoring Perfect-Square Trinomials and Differences of Squares

5.5 Factoring Sums or Differences of Cubes

5.6 Factoring: A General Strategy

5.7 Solving Polynomial Equations by Factoring

5.8 Solving Applications

Chapter 6: Rational Expressions and Equations

6.1 Rational Expressions

6.2 Multiplication and Division

6.3 Addition, Subtraction, and Least Common Denominators

6.4 Addition and Subtraction with Unlike Denominators

6.5 Complex Rational Expressions

6.6 Solving Rational Equations

6.7 Applications Using Rational Equations and Proportions

Chapter 7: Functions and Graphs

7.1 Introduction to Functions

7.2 Domain and Range

7.3 Graphs of Functions

7.4 The Algebra of Functions

7.5 Formulas, Applications, and Variation

Chapter 8: Systems of Linear Equations and Problem Solving

8.1 Systems of Equations in Two Variables

8.2 Solving by Substitution or Elimination

8.3 Solving Applications: Systems of Two Equations

8.4 Systems of Equations in Three Variables

8.5 Solving Applications: Systems of Three Equations

8.6 Elimination Using Matrices

8.7 Determinants and Cramer's Rule

8.8 Business and Economic Applications

Chapter 9: Inequalities and Problem Solving

9.1 Interval Notation and Applications

9.2 Intersections, Unions, and Compound Inequalities

9.3 Absolute-Value Equations and Inequalities

9.4 Inequalities in Two Variables

9.5 Applications Using Linear Programming

Chapter 10: Exponents and Radicals

10.1 Radical Expressions and Functions

10.2 Rational Numbers as Exponents

10.3 Multiplying Radical Expressions

10.4 Dividing Radical Expressions

10.5 Expressions Containing Several Radical Terms

10.6 Solving Radical Equations

10.7 Geometric Applications

10.8 The Complex Numbers

Chapter 11: Quadratic Functions and Equations

11.1 Quadratic Equations

11.2 The Quadratic Formula

11.3 Applications Involving Quadratic Equations

11.4 Studying Solutions of Quadratic Equations

11.5 Equations Reducible to Quadratic

11.6 Quadratic Functions and Their Graphs

11.7 More About Graphing Quadratic Functions

11.8 Problem Solving and Quadratic Functions

11.9 Polynomial and Rational Inequalities

Chapter 12: Exponential and Logarithmic Functions

12.1 Composite and Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithmic Functions

12.5 Common and Natural Logarithms

12.6 Solving Exponential and Logarithmic Equations

12.7 Applications of Exponential and Logarithmic Functions

Chapter 13: Conic Sections

13.1 Conic Sections: Parabolas and Circles

13.2 Conic Sections: Ellipses

13.3 Conic Sections: Hyperbolas

13.4 Nonlinear Systems of Equations

Chapter 14: Sequences, Series, and the Binomial Theorem

14.1 Sequences and Series

14.2 Arithmetic Sequences and Series

14.3 Geometric Sequences and Series

14.4 The Binomial Theorem

Chapter R: Elementary Algebra Review

R.1 Introduction to Algebraic Expressions

R.2 Equations, Inequalities, and Problem Solving

R.3 Introduction to Graphing

R.4 Polynomials

R.5 Polynomials and Factoring

R.6 Rational Expressions and Equations