1. Fundamental Concepts of Algebra

Simplify Rational Expressions

Rational Expressions

Finding all the Zeros of a Polynomial - Example 2

Simplifying Complex Fractions

Simplifying Complex Fractions - Ex 3

Adding and Subtracting Rational Expressions

Rational Expressions: Writing in Lowest Terms - Ex 2

Simplify each complex rational expression. (1/x-1/2)/(1/3-x/6)

Simplifying Complex Fractions - Ex 1

Rational Expressions:  Adding and Subtracting.  Ex 1

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

Rational Expressions:  Multiplying and Dividing.  Ex 1

Simplify each rational expression. Also, list all numbers that must be excluded from the domain. [x^3+2x^2]/[x+2]

In Exercises 111–120, use the order of operations to simplify each expression. 10^2−100÷5^2⋅2−3

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 4+5(x-7)^3, for x =9

Simplify each complex rational expression. [3-1/(x+3)]/[3+1/(x+3)]

In Exercises 97–102, write each algebraic expression without parentheses. 1/3(3x)+[(4y)+(−4y)]

Finding the Domain of an Expression Involving Fractions - Example 3

How to Find Restrictions on Rational Expressions

Algebra - Complex Fractions

Multiply or divide as indicated. [(x^2+6x+9)(x+3)]/[(x^2-4)(x-2)]

In Exercises 111–120, use the order of operations to simplify each expression. 6(−4)−5(−3)/(9−10)

Subtracting rational expressions

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). x^2-6x+3, for x=7

In Exercises 85–96, simplify each algebraic expression. 5(3y−2)−(7y+2)

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 6x-y, for x=3 and y=8

Rational Expressions:  Multiplying and Dividing.  Ex 3

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). x^2+3x, for x=8

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). x^2-3(x-y), for x=8 and y=2

In Exercises 85–96, simplify each algebraic expression. 18x^2+4−[6(x^2−2)+5]

Dividing rational expressions

Rational Expressions:  Adding and Subtracting.  Ex 2

In Exercises 33–68, add or subtract as indicated. 4/(x^2+6x+9) + 4/(x+3)

In Exercises 69–82, simplify each complex rational expression. (1/(x+h)^2 − 1/x^2)/h

Rational Expressions:  Multiplying and Dividing.  Ex 2

Multiply  Rational Expressions

Rational Expressions and Domain

Add or subtract as indicated. [(2x-7)/(x^2-9)]-[(x-10)/(x^2-9)]

In Exercises 85–96, simplify each algebraic expression. 5(3x+4)−4

Rewrite simple rational expressions using inspection

Add or subtract as indicated. 12/25x^2+11/15x^3

In Exercises 33–68, add or subtract as indicated. x/(x^2−2x−24) − x/(x^2−7x+6)

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

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 7+5x, for x = 10

Finding the Domain of an Expression Involving Fractions - Example 2

Simplifying Complex Fractions - Ex 2

In Exercises 85–96, simplify each algebraic expression. 2(5x−1)+14x

Manipulating Rational Expressions: Simplification and Operations

In Exercises 69–82, simplify each complex rational expression. (x/3−1)/(x−3)

In Exercises 111–120, use the order of operations to simplify each expression. 8−3[−2(2−5)−4(8−6)]

Multiply rational expressions

Multiply or divide as indicated. [(x^2-5x-24)/(x^2-x-12)]/[(x^2-10x+16)/(x^2+x-6)]

Rational Expressions: Writing in Lowest Terms - Ex 1

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). (2x+3y)/(x+1), for x=-2 and y=4

Rewrite polynomial expressions by factoring

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 5(x+2)/(2x-14), for x=10

Adding rational expressions

In Exercises 85–96, simplify each algebraic expression. 7−4[3−(4y−5)]

In Exercises 69–82, simplify each complex rational expression. (1/x + 1/y)/(x+y)

Finding the Domain of an Expression Involving Fractions - Example 1

Learn the toughest concepts covered in Algebra with step-by-step video tutorials and practice problems by world-class tutors

College Algebra

https://static.studychannel-prd.pearsonprd.tech/courses/college-algebra/thumbnails/college-algebra

#FFFFFF

patrickJMT

ThinkwellVids

Professor Dave Explains

Brian McLogan

Mario's Math Tutoring

LearnZillion

Escol Emmanuel

Michel van Biezen

Anil Kumar

2. Equations and Inequalities

3. Functions and Graphs

4. Polynomial and Rational Functions

5. Exponential and Logarithmic Functions

6. Systems of Equations and Inequalities

7. Matrices and Determinants

8. Conic Sections

9. Sequences, Induction, and Probability

undefined - Channels

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

Use the Product Rule

Use the Quotient Rule

Use the Zero-Exponent Rule

The Negative-Exponent Rule

The Power Rule

Find the Power of a Product

Find the Power of a Quotient

Simplify Exponential Expressions

Use Scientific Notation

Exponents and Scientific Notation

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

Expressions, Models, Real Numbers

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

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

Multiply Rational Expressions

Divide Rational Expressions

Add and Subtract Rational Expressions

Simplify Complex Rational Expressions

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

General Chemistry

Jules

Study the key concepts of Physics with descriptive videos, questions, and more

Physics

Patrick

General Biology

Jason

Financial Accounting

Brian

Dive deep into Psychology with videos, practice problems, and more.

Psychology

Microeconomics

The first in a two-course sequence introduces the basic structure and functions of the human body

Anatomy & Physiology

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

Organic Chemistry

Johnny

Genetics

Kylia

GOB Chemistry

Microbiology

Cell Biology

Analytical Chemistry

Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

Trigonometry

Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors

Precalculus

Biochemistry

Macroeconomics

Chemistry

Biology

Math

Business

Social Sciences

Michelle Barry Franco

Building Great Presentations

Eric Zackrison, PhD

Critical Thinking And Problem Solving

Sam Bennett

Embracing Times Of Uncertainty

Nicole Tetreault, PhD

Emotional Intelligence Basics

Eugene Choi, PharmD

Enhancing Your Critical Thinking Skills

Jason Richardson, PsyD

Habits To Win Every Day

Alyssa Lowery, PhD

Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

Amy Matthews

Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

Lynne Hurdle

Mistakes To Avoid When Resolving Conflict

Michael Veltri

Overcoming Decision Making Traps

Mike Vardy

Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

Tutti Taygerly

Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read