**Algebra I Video Series**

The Algebra I video series on DVD was made to give students clear, concise explanations of topics in a manner that the student may enjoy while acquiring the skills necessary to be successful in current and future mathematical courses. Throughout each DVD segment, pertinent definitions, theorems, and steps are shown and clearly explained. To reinforce these mathematical ideas, they are continually referenced and reviewed as examples are worked. Careful attention has been given to the NCTM Standards.

An ample number and variety of examples are solved on each tape segment by the lecturer. Each example solved is thoroughly explained step by step for the student. The examples on a single tape are graded in difficulty. Students are first exposed to examples that increase their confidence and problem-solving skills; then they are eased gradually through more difficult problems.

Algebra I consists of 89 video segments. Each segment is approximately 15 minutes in length. Topics include algebraic expressions, exponents, real numbers, solving equations and inequalities and applications, polynomials, factoring, rational expressions, graphing linear equations and inequalities in two variables, relations and functions, solving systems of linear equations, radicals, and solving quadratic equations.

Algebra I is made primarily for the junior high school or high school student. Objectives are clearly stated at the beginning of each segment. This series is extremely helpful to students enrolled in an algebra I mathematics course, students wanting to prepare before enrolling an algebra I course, students wanting a comprehensive review before enrolling in an algebra II course, or anyone wanting to review their basic algebra skills.

**A1 Introduction to Real Numbers and Variables **Variables and Algebraic Expressions

Order of Operations

Set of Real Numbers

Comparing Real Numbers

Exponents

**A2 Operations with Real Numbers **Adding Real Numbers on the Number Line

Adding Real Numbers

Subtracting Real Numbers

Multiplying Real Numbers

Dividing Real Numbers

Properties of Real Numbers

**A3 Algebraic Expressions **Evaluating Algebraic Expressions

Combining Like Terms

Simplifying Algebraic Expressions

**A4 Solving Equations **Solution Sets

Solving Equations Using Addition and Subtraction Properties

Solving Equations Using Multiplication and Division Properties

Solving Equations Requiring More than One Step

Solving Equations with Variables on Both Sides

Solving Percent Equations

Solving Literal Equations

Solving Absolute Value Equations

**A5 Problem Solving **Problem Solving: Using Formulas to Solve Applications

Problem Solving: From Words to Symbols

Problem Solving: Geometry

Problem Solving: Percent

Problem Solving: Mixtures

Problem Solving: Distance/Rate/Time

**A6 Solving Inequalities **Graphing Inequalities

Solving Inequalities Using Addition and Subtraction Properties

Solving Inequalities Using Multiplication and Division Properties

Solving Inequalities Requiring More than One Step

Solving Combined Inequalities

Solving Absolute Value Inequalities

**A7 Exponents **Multiplying Monomials

Powers of Monomials

Dividing Monomials

Negative Exponents

Scientific Notation

**A8 Operations with Polynomials **Polynomials

Adding and Subtracting Polynomials

Multiplying Polynomials

Multiplying Binomials

Special Products

Dividing Polynomials

**A9 Factoring Polynomials **Factoring Integers

The Greatest Common Factor

Factoring by Grouping

Factoring the Difference of Two Squares

Factoring x2 + bx + c

Factoring ax2 + bx + c

Factoring Completely

Solving Equations by Factor

**A10 Rational Expressions **Simplifying Rational Expressions

Multiplying Rational Expressions

Dividing Rational Expressions

Least Common Denominator

Adding and Subtracting Rational Expressions with Like Denominators

Adding and Subtracting Rational Expressions with Unlike Denominators

Operations on Rational Expressions

Complex Fractions

Solving Equations with Rational Expressions

**A11 Graphing Linear Equations and Inequalities **Graphing Ordered Pairs

Graphing Linear Equations in Two Variables

x- and y- Intercepts

Relations

Functions

Graphing Linear Inequalities in Two Variables

**A12 Slope and Forms of Equations of Lines **Slope

Slope-Intercept Form of a Linear Equation

Point-Slope Form of a Linear Equation

Using Two Points to write Equations of Lines

**A13 Systems of Linear Equations **Graphing Systems of Linear Equations

The Substitution Method

The Addition Method

Using Multiplication with the Additional Method

**A14 Roots and Radicals, Part I **Square Roots

Simplifying Square Roots

Simplifying Square Roots Containing Variables

Addition and Subtraction of Radicals

Multiplication of Radicals

**A15 Roots and Radicals, Part II **Division of Radicals

Rationalizing the Denominator

Solving Radical Equations

The Pythagorean Theorem

The Distance Formula

**A16 Solving Quadratic Equations **Solving Quadratic Equations by the Square Root Property

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by the Quadratic Formula

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Miami, FL 33156

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