1. Fundamental Concepts of Algebra

Divide Rational Expressions

Rational Expressions

Dividing rational expressions

❖ Finding the Domain of a Function Algebraically (No graph!) ❖

Rational Expressions:  Multiplying and Dividing.  Ex 3

Rationalizing the Numerator

Finding the Domain of an Expression Involving Fractions - Example 2

Common factoring requiring some initial simplification

Rationalize a numerator monomial denominator

Rational Expressions:  Multiplying and Dividing.  Ex 1

Simplifying Complex Fractions - Ex 1

Rationalizing the Numerator (an Algebra Skill Needed for Calculus)

Factoring Expressions with Rational Exponents

Simplifying Complex Fractions - Ex 3

Rational Expressions: Writing in Lowest Terms - Ex 1

Rational Expressions and Domain

Lesson 36 Rationalize the Numerator

Rational Expressions:  Adding and Subtracting.  Ex 1

Rational Expressions:  Adding and Subtracting.  Ex 2

Rational Expressions: Writing in Lowest Terms - Ex 2

Finding the Domain of an Expression Involving Fractions - Example 3

Rationalizing The Numerator

Rational Expressions:  Multiplying and Dividing.  Ex 2

❖ Finding all the Zeros of a Polynomial - Example 3 ❖

Adding rational expressions

Factoring with fractional and negative exponents.

Multiply  Rational Expressions

Simplifying Complex Fractions - Ex 2

Finding the Domain of an Expression Involving Fractions - Example 1

Multiply rational expressions

Manipulating Rational Expressions: Simplification and Operations

Factoring with rational exponents

Rationalize Numerator Basic Concept

Simplifying Complex Fractions

Subtracting rational expressions

Rewrite polynomial expressions by factoring

Finding all the Zeros of a Polynomial - Example 2

Algebra - Complex Fractions

Adding and Subtracting Rational Expressions

Chain Rule Inside Quotient Rule and Simplifying

Factoring out lowest exponent

Rewrite simple rational expressions using inspection

How to Find Restrictions on Rational Expressions

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2. Functions and Graphs

3. Polynomial and Rational Functions

4. Exponential and Logarithmic Functions

5. Trigonometric Functions

6. Analytic Trigonometry

7. Additional Topics in Trigonometry

8. Systems of Equations and Inequalities

9. Matrices and Determinants

10. Conic Sections and Analytic Geometry

11. Sequences, Induction, and Probability

12. Introduction to Calculus

Specify Numbers that Must be Excluded From the Domain of a Rational Expression

Simplify Rational Expressions

Multiply Rational Expressions

Add and Subtract Rational Expressions

Simplify Complex Rational Expressions

Simplify Fractional Expressions That Occur in Calculus

Rationalize Numerators

Use Linear Equations to Solve Problems

Models and Applications

Use Interval Notation

Find Intersections and Unions of Intervals

Solve Linear Inequalities

Solve Compound Inequalities

Solve Absolute Value Inequalities

Linear Inequalities and Absolute Value Inequalities

Evaluate Square Roots

Simplify Expressions of the Form &radic; <i>a</i><sup>2</sup>

Use the Product Rule to Simplify Square Roots

Use the Quotient Rule to Simplify Square Roots

Add and Subtract Square Roots

Rationalize Denominators

Evaluate and Perform Operations with Higher Roots

Understand and Use Rational Exponents

Radicals and Rational Exponents

Solving Linear Equations in One Variable

Solving a Linear Equation Involving Fractions

Solve Rational Equations with Variables in the Denominators

Solve a Formula for a Variable

Solving Equations Involving Absolute Value

Solve Quadratic Equations by Factoring

Solve Quadratic Equations by the Square Root Property

Solve Quadratic Equations by Completing the Square

Solve Quadratic Equations Using the Quadratic Formula

Use the Discriminant to Determine the Number and Type of Solutions

Determine the Most Efficient Method to Use When Solving a Quadratic Equation

Solve Radical Equations

Equations

Evaluate Algebraic Expressions 

Usage Mathematical Models

Union & Intersection Of Two Sets

Recognize Real Numbers

Use Inequality Symbols

Evaluate Absolute Value

Use Absolute Value to Express Distance

Identify Properties of the Real Numbers

Simplify Algebraic Expressions

Algebraic Expressions, Mathematical Models, and Real Numbers

Understand the Vocabulary of Polynomials

Add and Subtract Polynomials

Multiply Polynomials

Use FOIL in Polynomial Multiplication

Use Special Products in Polynomial Multiplication

Perform Operations with Polynomials in Several Variables

Polynomials

Factor out the Greatest Common Factor of a Polynomial

Factor by Grouping

Factor Trinomials

Factor the Difference of Squares

Factor Perfect Square Trinomials

Factor the Sum or Difference of Two Cubes

Use a General Strategy for Factoring Polynomials

Factor Algebraic Expressions Containing Fractional and Negative Exponents

Factoring Polynomials

Use Properties of Exponents

Simplify Exponential Expressions

Use Scientific Notation

Exponents and Scientific Notation

General Chemistry

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Financial Accounting

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