Algebra 2 Explained
4.7 (39 ratings)
2,210 students enrolled

# Algebra 2 Explained

Master Algebra 2 and prepare yourself for Trigonometry, Pre-Calculus, and Calculus. Ace your Algebra Exam!
4.7 (39 ratings)
2,210 students enrolled
Created by John Greene, M.A.
Last updated 5/2020
English
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This course includes
• 35.5 hours on-demand video
• 160 articles
• 2 Practice Tests
• Access on mobile and TV
• Certificate of Completion
Training 5 or more people?

What you'll learn
• You will be a master of Algebra 2 and be fully ready for college level math courses.
• You will understand the basics of set theory and be able to create visual aids such as Venn Diagrams to display sets.
• You will be able to solve any linear equation/inequality in one variable.
• You will be able to graph linear equations/inequalities in two variables.
• You will completely understand functions and be able to utilize function notation to solve problems.
• You will be able to solve linear systems using graphing, substitution, elimination, and matrix methods.
• You will be able to perform operations with polynomials: addition, subtraction, multiplication, and division.
• You will have a complete understanding of how to factor polynomials using different techniques
• You be able to simplify, add, subtract, multiply and divide rational expressions. You will also be able to solve rational equations and find the restricted values for a rational expression.
• You will be able to simplify, add, subtract, multiply, and divide radical expressions. You will also be able to solve radical equations.
• You will be able to determine if a function is one-to-one and find the inverse of a one-to-one function.
• You will be able to work with exponential and logarithmic functions. You will also be able to solve exponential and logarithmic equations.
• You will be able to graph elementary functions and determine the horizontal and or vertical shift(s).
• You will understand function composition.
• You will be able to graph conic sections: circles, ellipses, hyperbolas.
• You will be able to solve non-linear systems of equations and inequalities.
Requirements
• Pre-Algebra and Basic Math (Addition, Subtraction, Multiplication, and Division).
Description

Become a Master of  Algebra 2 and Ace your next Exam! In this course, you will master the concepts of  Algebra 2 with our step by step video tutorials and test your knowledge with over 1000 Practice Questions. The concepts you will learn are fundamental to success in higher math classes such as Trigonometry, Pre-Calculus, and Calculus. The topics of the course include:

• Sets

• Solving Linear Equations/Inequalities

• Solving Absolute Value Equations/Inequalities

• Graphing Linear Equations/Inequalities in two Variables

• Functions

• Variation

• Systems of Equations

• Rules of Exponents

• Operations with Polynomials

• Factoring

• Rational Expressions

• Inverse Functions

• Exponential and Logarithmic Equations

• Graphing Elementary Functions (Transformations)

• Function Composition

• Graphing Conic Sections: Circles, Ellipses, Hyperbolas

• Solving Non-Linear Systems of Equations/Inequalities

Who this course is for:
• Anyone who wants to fully master Algebra and prepare for College Algebra, Trigonometry, and Calculus
Course content
Expand all 240 lectures 40:20:07
+ Sets
6 lectures 50:46

This lecture explains the basics of set theory. This lecture will cover:

• Basic definition of a set

• Using the roster method

• Subsets

Preview 23:58

Study Notes for Sets Part 1

Sets Part 1 Study Notes
05:47

Practice Test for Sets Part 1.

Sets Part 1 Practice Test
00:05

This quiz will test your knowledge of set theory.

Sets Part 1
3 questions

This lecture continues to explain the basics of set theory. This lecture will cover:

• Venn diagrams

• Finding the union of two or more sets

• Finding the intersection of two or more sets

Sets Part 2
17:05

Study Notes for Sets Part 2

Sets Part 2 Study Notes
03:45

Practice Test for Sets Part 2.

Sets Part 2 Practice Test
00:05

This quiz will test your knowledge of set theory.

Sets Part 2
3 questions
+ Equations & Inequalities
36 lectures 06:24:55

This lecture explains how to solve a linear equation in one variable. This lecture will cover:

• The Addition Property of Equality

• The Multiplication Property of Equality

• Solving any Linear Equation using the four step procedure

Preview 17:57

Study Notes for Solving Linear Equations Part 1

Solving Linear Equations Part 1 Study Notes
05:21

Practice Test for Solving Linear Equations Part 1.

Solving Linear Equations Part 1 Practice Test
00:06

This quiz will test your knowledge of how to solve a linear equation in one variable using the four step process.

Solving Linear Equations Part 1
3 questions

This lecture continues to explain how to solve a linear equation in one variable. This lecture will cover:

• Solving Equations with Fractions

• Solving Equations with Decimals

• Special Case Linear Equations (No Solution Equations / Infinite Solution Equations)

Preview 31:17

Study Notes for Solving Linear Equations Part 2

Solving Linear Equations Part 2 Study Notes
04:57

Practice Test for Solving Linear Equations Part 2.

Solving Linear Equations Part 2 Practice Test
00:06

This quiz will test your knowledge of how to solve a linear equation in one variable with fractions and decimals.

Solving Linear Equations Part 2
3 questions

This lecture explains how to convert a repeating decimal into a fraction.

Repeating Decimal to Fraction
18:24

Study Notes for Repeating Decimal to Fraction

Repeating Decimal to Fraction Study Notes
03:35

Practice Test for Repeating Decimal to Fraction.

Repeating Decimal to Fraction Practice Test
00:06

This quiz will test your knowledge of how to convert a repeating decimal into a fraction.

Repeating Decimal to Fraction
3 questions

This lecture explains how to solve an equation for a given variable.

Solving Literal Equations
20:25

Study Notes for Solving Literal Equations.

Solving Literal Equations Study Notes
03:15

Practice Test for Solving Literal Equations.

Solving Literal Equations Practice Test
00:05

This quiz will test your knowledge of how to solve an equation for a specified variable.

Solving Literal Equations
3 questions

This lecture explains the basics of a word problem. This lecture will cover:

• Phrase Translation to Algebraic Expressions/Equations

• Interpretation of key words to arithmetic operators

• Solving Basic Word Problems

Applications of Linear Equations Part 1
20:50

Study Notes for Applications of Linear Equations Part 1

Applications of Linear Equations Part 1 Study Notes
04:03

Practice Test for Applications of Linear Equations Part I.

Applications of Linear Equations Part I Practice Test
00:06

This quiz will test your knowledge of how to translate phrases into algebraic expressions and equations.

Applications of Linear Equations Part 1
3 questions

This lecture explains how to solve a word problem when a linear equation in one variable is involved. This lecture will cover:

• Six Step Procedure to Solve a Word Problem with Linear Equations

• Solving "Sums of Quantities Problems"

• Solving "% Markup and Markdown Problems"

• Solving  "Simple Interest Problems I=prt"

Applications of Linear Equations Part 2
24:02

Study Notes for Applications of Linear Equations Part 2.

Applications of Linear Equations Part 2 Study Notes
06:35

Practice Test for Applications of Linear Equations Part 2.

Applications of Linear Equations Part 2 Practice Test
00:06

This quiz will test your knowledge of how to solve a word problem with linear equations involved.

Applications of Linear Equations Part 2
3 questions

This lecture continues to explain how to solve a word problem when a linear equation in one variable is involved. This lecture will cover:

• Six Step Procedure to Solve a Word Problem with Linear Equations

• Solving "Motion Word Problems d=rt"

• Solving "Mixture Word Problems"

Applications of Linear Equations Part 3
32:27

Study Notes for Applications of Linear Equations Part 3.

Applications of Linear Equations Part 3 Study Notes
07:57

Practice Test for Applications of Linear Equations.

Applications of Linear Equations Part 3 Practice Test
00:06

This quiz will test your knowledge of how to solve a word problem with linear equations involved.

Applications of Linear Equations Part 3
3 questions

This lecture explains how to write an interval or range of values using interval notation. This lecture will cover:

• Interval Notation

• Set Builder Notation

• Graphing Intervals on a Number Line

Interval Notation
22:05

Study Notes for Interval Notation.

Interval Notation Study Notes
05:20

Practice Test for Interval Notation.

Interval Notation Practice Test
00:05

This quiz will test your knowledge of how to write intervals using interval notation.

Interval Notation
3 questions

This lecture explains how to solve a linear inequality in one variable. This lecture will cover:

• Writing the solution in Interval Notation and Graphing the Interval on a Number Line

• Multiplication Property of Inequality

• Solving any Linear Inequality in one Variable

Solving Linear Inequalities
30:51

Study Notes for Solving Linear Inequalities.

Solving Linear Inequalities Study Notes
06:06

Practice Test for Solving Linear Inequalities, if you need any help please post your question in the Q&A. I am glad to help.

Solving Linear Inequalities Practice Test
00:05

This quiz will test your knowledge of how to solve linear inequalities.

Solving Linear Inequalities
3 questions

This lecture explains how to solve a compound inequality. This lecture will cover:

• Solving Compound Inequalities with "or"

• Solving Compound Inequalities with "and"

• Graphing Solutions for Compound Inequalities using the Number Line

Solving Compound Inequalities
33:16

Study Notes for Solving Compound Inequalities.

Solving Compound Inequalities Study Notes
04:40

Practice Test for Solving Compound Inequalities.

Solving Compound Inequalities Practice Test
00:05

This quiz will test your knowledge of how to solve a compound inequality with "and" or "or".

Solving Compound Inequalities
3 questions

This lecture explains how to solve absolute value equations. This lecture will cover:

• The concept of Absolute Value

• Compound Equations with "or"

• Special Case Scenarios with No Solution

Solving Absolute Value Equations
38:22

Study Notes for Solving Absolute Value Equations.

Solving Absolute Value Equations Study Notes
04:29

Practice Test for Solving Absolute Value Equations.

Solving Absolute Value Equations Practice Test
00:06

This quiz will test your knowledge of how to solve absolute value equations.

Solving Absolute Value Equations
3 questions

This lecture explains how to solve absolute value inequalities. This lecture will cover:

• The concept of Absolute Value

• Compound Inequalities with "and"

• Compound Inequalities with "or"

Solving Absolute Value Inequalities
32:27

Study Notes for Solving Absolute Value Inequalities.

Solving Absolute Value Inequalities Study Notes
04:56

Practice Test for Solving Absolute Value Inequalities.

Solving Absolute Value Inequalities Practice Test
00:06

This quiz will test your knowledge of how to solve absolute value inequalities.

Solving Absolute Value Inequalities
3 questions
+ Graphing Equations & Inequalities
18 lectures 03:17:52

This lecture introduces the linear equation in two variables. This lecture will cover:

• Solving a Linear Equation in two variables for a given variable

• Completing a table of values

• Plotting Ordered Pairs on the Cartesian Coordinate Plane

Linear Equations in two Variables
23:18

Study Notes for Linear Equations in two variables.

Linear Equations in two Variables Study Notes
04:39

Practice Test for Linear Equations in two Variables.

Linear Equations in two Variables Practice Test
00:06

This quiz will test your knowledge of how to work with linear equations in two variables.

Linear Equations in two Variables
3 questions

This lecture explains how to graph a linear equation in two variables. This lecture will cover:

• Creating a table of ordered pairs

• Plotting Ordered Pairs

• Graphing Linear Equations

• Finding the x-intercept

• Finding the y-intercept

• Using the Intercept Method

• Graphing Vertical Lines

• Graphing Horizontal Lines

Graphing Linear Equations
27:37

Graphing Linear Equations Study Notes.

Graphing Linear Equations Study Notes
06:00

Practice Test for Graphing Linear Equations.

Graphing Linear Equations Practice Test
00:05

This quiz will test your knowledge of how to graph a linear equation in two variables.

Graphing Linear Equations
3 questions

This lecture explains how to find the slope of a line. This lecture will cover:

• Slope Formula

• Finding Slope from a Graph

• Finding the Slope of a Horizontal Line

• Finding the Slope of a Vertical Line

• Slope-Intercept Formula - Finding the Slope from the Equation of the Line

The Slope of a Line
29:15

The Slope of a Line Study Notes.

The Slope of a Line Study Notes
06:32

Practice Test for the Slope of a Line.

The Slope of a Line Practice Test
00:06

This quiz will test your knowledge of how to find the slope of a line.

The Slope of a Line
3 questions

This lecture continues to explain concepts related to slope. This lecture will cover:

• Graph a Line quickly using Slope-Intercept Form of the Line

• How to Determine if two Lines are Parallel

• How to Determine if two Lines are Perpendicular

More on Slope
26:51

Study Notes for More on Slope.

More on Slope Study Notes
03:02

Practice Test for More on Slope.

More on Slope Practice Test
00:05

This quiz will continue to test your knowledge of slope. We will determine if two lines are parallel (same slope), perpendicular (slopes have a product of -1) or neither.

More on Slope
3 questions

This lecture explains how to algebraically manipulate a linear equation in two variables into different forms. This lecture will cover:

• Point-Slope Form - used with known slope and one point or two points given

• Slope-Intercept Form - used to immediately know the slope and y-intercept

• Standard Form

Forms of a Line
26:39

Study Notes for Forms of a Line.

Forms of a Line Study Notes
03:17

Practice Test for Forms of a Line.

Forms of a Line Practice Test
00:06

This quiz will test your knowledge of how to algebraically manipulate a linear equation in two variables into different forms: standard form, point-slope form, and slope-intercept form.

Forms of a Line
3 questions

This lecture explains how to sketch the solution for a linear inequality in two variables. This lecture will cover:

• Drawing the Boundary Line

• Graphing a Linear Inequality in two Variables using the Test Point Method

• Graphing a Linear Inequality in two Variables by Solving for y

Linear Inequalities in two Variables
35:26

Study Notes for Linear Inequalities in two Variables.

Linear Inequalities in two Variables
04:38

Practice Test for Linear Inequalities in two Variables.

Linear Inequalities in two Variables Practice Test
00:06

This quiz will test your knowledge of how to sketch the graph of a linear inequality in two variables.

Linear Inequalities in two Variables
3 questions
+ Functions
9 lectures 01:32:01

This lecture explains how to determine if a relation represents a function.

Relations and Functions
24:03

Study Notes for Relations and Functions.

Relations and Functions Study Notes
04:11

Practice Test for Relations and Functions.

Relations and Functions Practice Test
00:05

This quiz will test your knowledge of how to determine if a relation represents a function.

Relations and Functions
3 questions

This lecture explains how to use the vertical line test to visually determine if the graph of a relation represents a function.

Function Vertical Line Test
33:24

Study Notes for Function Vertical Line Test.

Function Vertical Line Test Study Notes
04:35

Practice Test for Functions Vertical Line Test.

Function Vertical Line Test Practice Test
00:06

This quiz will test your knowledge of how to determine if the graph of a relation represents a function using the vertical line test.

Function Vertical Line Test
3 questions

This lecture explains how to work with functions, when function notation is used.

Function Notation
23:20

Study Notes for Function Notation.

Function Notation Study Notes
02:10

Practice Test for Function Notation.

Function Notation Practice Test
00:05

This quiz will test your knowledge of how to write and solve function problems using function notation.

Function Notation
3 questions
+ Variation
3 lectures 29:00

This lecture explains how to solve variation problems. This lecture will cover:

• Direct Variation

• Direct Variation as a Power

• Inverse Variation

• Inverse Variation as a Power

• Joint Variation

• Variation Word Problems

Variation
22:19

Study Notes for Variation.

Variation Study Notes
06:36

Practice Test for Variation.

Variation Practice Test
00:05

This quiz will test your knowledge of how to solve a variation problem: direct variation, inverse variation, and joint variation.

Variation
3 questions
+ Systems of Equations & Inequalities
24 lectures 04:51:35

This lecture explains how to systems of linear equations in two variables using graphing.

Solving Linear Systems by Graphing
18:42

Study Notes for Solving Linear Systems by Graphing.

Solving Linear Systems by Graphing Study Notes
03:47

Practice Test for Solving Linear Systems by Graphing.

Solving Linear Systems by Graphing Practice Test
00:06

This quiz will test your knowledge of how to solve a system of linear equations using the graphing method.

Solving Linear Systems by Graphing
3 questions

This lecture explains how to solve systems of linear equations in two variables using substitution.

Preview 33:39

Study Notes for Solving Linear Systems by Substitution.

Solving Linear Systems by Substitution Study Notes
06:31

Practice Test for Solving Linear Systems by Substitution.

Solving Linear Systems by Substitution Practice Test
00:06

This quiz will test your knowledge of how to solve a system of linear equations using the substitution method.

Solving Linear Systems by Substitution
3 questions

This lecture explains how to solve systems of linear equations in two variables using elimination.

Solving Linear Systems by Elimination
31:09

Study Notes for Solving Linear Systems by Elimination.

Solving Linear Systems by Elimination Study Notes
05:47

Practice Test for Solving Linear Systems by Elimination.

Solving Linear Systems by Elimination Practice Test
00:06

This quiz will test your knowledge of how to solve a system of linear equations using the elimination method.

Solving Linear Systems by Elimination
3 questions

This lecture explains how to a system of linear equations in three variables.

Systems of Equations - 3 Variables
38:48

Study Notes for Solving Linear Systems in 3 Variables.

Systems of Equations - 3 Variables Study Notes
08:50

Practice Test for Systems of Equations - 3 Variables

Systems of Equations - 3 Variables Practice Test
00:06

This quiz will test your knowledge of how to solve a system of equations with variables.

Systems of Equations - 3 Variables
3 questions

This lecture explains how to solve application problems that involve setting up a system of linear equations. This lecture will cover:

• Sums of Quantities Word Problems

• Motion Word Problems

• Production Word Problems

Applications of Linear Systems
39:48

Study Notes for Applications of Linear Systems.

Applications of Linear Systems Study Notes
08:08

Practice Test for Applications of Linear Systems.

Applications of Linear Systems Practice Test
00:06

This quiz will test your knowledge of how to solve word problems when a system of linear equations is involved.

Applications of Linear Systems
3 questions

This lecture explains how to solve a system of linear equations in two variables using matrix methods. This lecture will cover:

• Setting up an Augmented Matrix

• Elementary Row Operations

• Row Echelon Form

• Reduced Row Echelon form

Matrix Methods - Solving Linear Systems Part 1
32:30

Study Notes for Solving Linear Systems using Matrix Methods Part 1

Matrix Methods - Solving Linear Systems I Study Notes
07:07

Practice Test for Matrix Methods I.

Matrix Methods - Solving Linear Systems Part 1 Practice Test
00:06

This quiz will test your knowledge of how to solve a system of linear equations in two variables using matrix methods.

Matrix Methods - Solving Linear Systems Part 1
3 questions

This lecture explains how to solve a system of linear equations in three variables using matrix methods. This lecture will cover:

• Setting up an Augmented Matrix

• Elementary Row Operations

• Row Echelon Form

• Reduced Row Echelon form

Matrix Methods - Solving Linear Systems Part 2
35:52

Study Notes for Matrix Methods Part 2.

Matrix Methods - Solving Linear Systems Part 2 Study Notes
04:17

Practice Test for Matrix Methods Part II.

Matrix Methods - Solving Linear Systems Part 2 Practice Test
00:06

This quiz will test your knowledge of how to solve a system of linear equations in 3 variables using matrix methods.

Matrix Methods - Solving Linear Systems Part 2
3 questions

This lecture explains how to sketch the Graph for a System of Linear Inequalities. This lecture will cover:

• Review of Graphing Linear Inequalities in two Variables

• Finding the Overlap between two Graphs on the Coordinate Plane

• Special Case Scenarios with No Solution

Graphing Systems of Linear Inequalities
13:58

Study Notes for Graphing Systems of Linear Inequalities.

Graphing Systems of Linear Inequalities Study Notes
01:50

Practice Test for Graphing Systems of Linear Inequalities.

Graphing Systems of Linear Inequalities Practice Test
00:06

This quiz will test your knowledge of how to sketch the graph for a system of linear inequalities.

Graphing Systems of Linear Inequalities
3 questions
+ Polynomials
21 lectures 03:37:33

This lecture will review the various rules of exponents This lecture will cover:

• Product Rule for Exponents

• Quotient Rule for Exponents

• Negative Exponents

• Zero as an Exponent

• Power Rules for Exponents

Exponent Rules
27:54

Study Notes for Exponent Rules.

Exponent Rules Study Notes
02:45

Practice Test for Exponent Rules.

Exponent Rules Practice Test
00:05

This quiz will test your knowledge of how to use the various rules of exponents: product rule, quotient rule, power to power rule, exponent of zero, power rules, and negative exponents.

Exponent Rules
3 questions

This lecture explains how to add and subtract polynomials. This lecture will cover:

• Finding the degree of a polynomial

• Writing a polynomial in standard form

• Like Terms

• Subtracting Polynomials

35:59

Study Notes for Adding and Subtracting Polynomials.

Adding and Subtracting Polynomials Study Notes
03:41

Practice Test for Adding and Subtracting Polynomials.

Adding and Subtracting Polynomials Practice Test
00:06

This quiz will test your knowledge of how to add and subtract polynomials.

3 questions

This lecture explains how to multiply polynomials. This lecture will cover:

• Finding the product of a monomial and a polynomial

• Finding the product of two polynomials

• Finding the product of two binomials using FOIL

• Finding the product of more than two polynomials

Multiplying Polynomials
26:35

Study Notes for Multiplying Polynomials.

Multiplying Polynomials Study Notes
01:56

Practice Test for Multiplying Polynomials.

Multiplying Polynomials Practice Test
00:05

This quiz will test your knowledge of how to multiply polynomials.

Multiplying Polynomials
3 questions

This lecture explains how to quickly multiply commonly occuring polynomial products. This lecture will cover:

• Finding the product of a binomial squared

• Finding the product of the sum and difference of the same two terms

• Finding the product of a binomial cubed

Special Polynomial Products
26:43

Study Notes for Special Polynomial Products.

Special Polynomial Products Study Notes
03:00

Practice Test for Special Polynomial Products.

Special Polynomial Products Practice Test
00:05

This quiz will test your knowledge of special polynomial products.

Special Polynomial Products
3 questions

This lecture explains how to divide polynomials using long division. This lecture will cover:

• Dividing a polynomial by a monomial

• Polynomial Long Division

• Polynomial Long Division with Remainders

• Polynomial Long Division with Missing Terms

Polynomial Long Division
29:17

Study Notes for Polynomial Long Division.

Polynomial Long Division Study Notes
03:28

Practice Test for Polynomial Long Division

Polynomial Long Division Practice Test
00:05

This quiz will test your knowledge of how to divide polynomials using long division.

Polynomial Long Division
3 questions

This lecture explains how to divide polynomials using synthetic division.

Preview 22:16

Study Notes for Synthetic Division.

Synthetic Division Study Notes
02:09

Practice Test for Synthetic Division.

Synthetic Division Practice Test
00:05

This quiz will test your knowledge of how to divide polynomials using synthetic division.

Synthetic Division
3 questions

This lecture explains how to perform operations with polynomial functions. This lecture will cover:

• Function Notation

• Subtracting Polynomial Functions

• Multiplying Polynomial Functions

• Dividing Polynomial Functions

Operations on Functions
29:13

Study Notes for Operations on Functions.

Operations on Functions Study Notes
01:56

Practice Test for Operations on Functions.

Operations of Functions Practice Test
00:05

This quiz will test your knowledge of how to perform operations with functions: adding, subtracting, multiplying, and dividing.

Operations on Functions
3 questions

This test will cover all material from Lesson 1 - Lesson 39. Please use the Q&A if you get stuck.

Good luck :)

Algebra 2 Midterm
40 questions
+ Factoring
24 lectures 03:14:41

This lecture explains how to factor out the Greatest Common Factor (GCF) from a polynomial. This lecture will cover:

• Finding the GCF

• Factoring out the GCF

• Checking the result of factoring using the Distributive Property

Factoring out the Greatest Common Factor (GCF)
28:39

Study Notes for Factoring out the Greatest Common Factor.

Factoring out the Greatest Common Factor Study Notes
02:38

Practice Test for Factoring out the Greatest Common Factor.

Factoring out the Greatest Common Factor Practice Test
00:06

This quiz will test your knowledge of how to factor out the Greatest Common Factor (GCF).

Factoring out the Greatest Common Factor (GCF)
3 questions

This lecture explains how to factor a four term polynomial using the grouping method.

Factoring by Grouping
24:08

Study Notes for Factoring by Grouping.

Factoring by Grouping Study Notes
02:29

Practice Test for Factoring by Grouping.

Factoring by Grouping Practice Test
00:05

This quiz will test your knowledge of how to factor a four term polynomial using grouping.

Factoring by Grouping
3 questions

This lecture explains how to factor trinomials into the product of two binomials when the leading coefficient is 1.

How to Factor Trinomials
15:41

Study Notes for how to factor trinomials.

How to Factor Trinomials Study Notes
04:40

Practice Test for Factoring Trinomials.

How to Factor Trinomials Practice Test
00:06

This quiz will test your knowledge of how to factor trinomials when the leading coefficient is 1.

How to Factor Trinomials
3 questions

This lecture explains how to factor trinomials into the product of two binomials when the leading coefficient is not 1. In this lecture we will present the first of two methods known as the AC method or the factoring by grouping method.

Factoring Trinomials AC Method
21:57

Study Notes for Factoring Trinomials using the AC Method.

Factoring Trinomials AC Method Study Notes
05:10

Practice Test for Factoring Trinomials AC Method.

Factoring Trinomials AC Method Practice Test
00:06

This quiz will test your knowledge of how to factor trinomials with a leading coefficient that is not 1, using the AC Method.

Factoring Trinomials AC Method
3 questions

This lecture explains how to factor trinomials into the product of two binomials when the leading coefficient is not 1. In this lecture we will present the second of two methods known as the Reverse FOIL method.

Factoring Trinomials Reverse FOIL
21:37

Study Notes for Factoring Trinomials using Reverse FOIL.

Factoring Trinomials Reverse FOIL Study Notes
04:06

Practice Test for Factoring Trinomials Reverse FOIL.

Factoring Trinomials Reverse FOIL Practice Test
00:06

This quiz will test your knowledge of how to factor trinomials with a leading coefficient that is not 1, using reverse FOIL.

Factoring Trinomials Reverse FOIL
3 questions

This lecture explains how to factor polynomials using substitution.

Factoring Polynomials (Substitution)
16:59

Study Notes for Factoring Polynomials.

Factoring Polynomials (Substitution) Study Notes
02:10

Practice Test for Factoring Polynomials (Substitution).

Factoring Polynomials (Substitution) Practice Test
00:06

This quiz will test your knowledge of how to factor polynomials using substitution.

Factoring Polynomials (Substitution)
3 questions

This lecture explains how to quickly factor commonly occuring polynomials. This lecture will cover:

• Factoring Perfect Square Trinomials

• Factoring the Difference of two Squares

• Factoring the Sum/Difference of Cubes

Special Factoring
18:52

Study Notes for Special Factoring.

Special Factoring Study Notes
01:40

Practice Test for Special Factoring.

Special Factoring Practice Test
00:05

This quiz will test your knowledge of how to factor trinomials using special factoring formulas.

Special Factoring
3 questions

This lecture explains how to solve a polynomial equation using factoring and the zero product property.

Solving Polynomial Equations by Factoring
21:16

Study Notes for Solving Polynomial Equations by Factoring.

Solving Polynomial Equations by Factoring Study Notes
01:48

Practice Test for Solving Polynomial Equations.

Solving Polynomial Equations by Factoring Practice Test
00:06

This quiz will test your knowledge of how to solve polynomial equations by factoring.

Solving Polynomial Equations by Factoring
3 questions
+ Rational Expressions
18 lectures 02:40:21

This lecture gives an introduction to Rational Expressions. This lecture will cover:

• The definition of a Rational Expression

• Simplifying Rational Expressions

• Finding the Restricted Value(s) for a Rational Expression

Simplifying Rational Expressions
23:53

Study Notes for Simplifying Rational Expressions.

Simplifying Rational Expressions Study Notes
02:42

Practice Test for Simplifying Rational Expressions.

Simplifying Rational Expressions Practice Test
00:05

This quiz will test your knowledge of how to simplify rational expressions. This quiz will also test your ability to find the restricted value(s) for a rational expression

Simplifying Rational Expressions
3 questions

This lecture explains how to multiply and divide rational expressions.

Multiplying Rational Expressions
19:28

Study Notes for Multiplying Rational Expressions.

Multiplying Rational Expressions Study Notes
01:08

Practice Test for Multiplying Rational Expressions.

Multiplying Rational Expressions Practice Test
00:05

This quiz will test your knowledge of how to Multiply Rational Expressions.

Multiplying Rational Expressions
3 questions

This lecture explains how to add and subtract rational expressions. This lecture will cover:

• Finding the LCD for a group of rational expressions

• Adding/Subtracting Rational Expressions with a common denominator

• Adding/Subtracting Rational Expressions without a common denominator

31:20

Study Notes for Adding Rational Expressions.

01:35

Practice Test for Adding Rational Expressions.

00:05

This quiz will test your knowledge of how to add  and subtract rational expressions.

3 questions

This lecture explains how to simplify a complex rational expressions. This lecture will cover:

• Finding the LCD for a group of rational expressions

• Simplifying a Complex Rational Expression using the LCD method

Complex Rational Expressions
18:20

Study Notes for Complex Rational Expressions.

Complex Rational Expressions Study Notes
00:54

Practice Test for Complex Rational Expressions.

Complex Rational Expressions Practice Test
00:05

This quiz will test your knowledge of how to simplify complex rational expressions.

Complex Rational Expressions
3 questions

This lecture explains how to solve rational equations. This lecture will cover:

• Finding the LCD for a group of rational expressions

• Solving Rational Equations

• How to Find and Reject Extraneous Solutions

Solving Rational Equations
27:15

Study Notes for Solving Rational Equations.

Solving Rational Equations Study Notes
01:48

Practice Test for Solving Rational Equations.

Solving Rational Equations Practice Test
00:05

This quiz will test your knowledge of how to solve rational equations (equations with rational expressions).

Solving Rational Equations
3 questions

This lecture explains how to setup and solve word problems that involve rational expressions. This lecture will cover:

• Work Rate Problems

• Motion Word Problems

Applications of Rational Expressions
26:22

Study Notes for Applications of Rational Expressions.

Applications of Rational Expressions Study Notes
04:59

Practice Test for Applications of Rational Expressions.

Applications of Rational Expressions Practice Test
00:06

This quiz will test your knowledge of how to solve a word problem with rational expressions involved.

Applications of Rational Expressions
3 questions
21 lectures 03:15:54

This lecture gives an introduction to radical expressions. This lecture will cover:

• Finding the square root of a number

• Finding the cube root of a number

• Finding higher level roots

33:51

Study Notes for Evaluating Radical Expressions.

04:36

Practice Test for Evaluating Radical Expressions.

00:05

This quiz will test your knowledge of how to evaluate radical expressions and work with fractional exponents.

3 questions

This lecture explains how to simplify, multiply, and divide radical expressions. This lecture will cover:

• How to Simplify a Radical

26:41

02:04

00:05

3 questions

This lecture explains how to find the distance between two points on the coordinate plane using the distance formula.

The Distance Formula
16:00

Study Notes for the Distance Formula.

The Distance Formula Study Notes
02:40

Practice Test for The Distance Formula.

The Distance Formula Practice Test
00:05

This quiz will test your knowledge of how to find the distance between two points using the distance formula.

The Distance Formula
3 questions

This lecture explains how to add and subtract radical expressions. This lecture will cover:

• How to identify Like Radicals

19:15

00:44

00:06

3 questions

This lecture explains how to rationalize the denominator. This lecture will cover:

• Rationalizing the Denominator with a Square Root

• Rationalizing the Denominator with a Cube Root

• Rationalizing the Denominator with a Higher Level Root

Rationalizing the Denominator
26:23

Study Notes for Rationalizing the Denominator.

Rationalizing the Denominator Study Notes
01:10

Practice Test for Rationalizing the Denominator.

Rationalizing the Denominator Practice Test
00:05

This quiz will test your knowledge of how to rationalize the denominator.

Rationalizing the Denominator
3 questions

This lecture continues to explain how to rationalize the denominator. In this lecture, we will cover the process of rationalizing a binomial denominator. This lecture will cover:

• Finding the Conjugate of the denominator

• Rationalizing a Binomial Denominator

Rationalizing a Binomial Denominator
30:06

Study Notes for Rationalizing a Binomial Denominator.

Rationalizing a Binomial Denominator Study Notes
01:10

Practice Test for Rationalizing a Binomial Denominator.

Rationalizing a Binomial Denominator Practice Test
00:06

This quiz will test your knowledge of how to rationalize a binomial denominator.

Rationalizing a Binomial Denominator
3 questions

This lecture explains how to Solve Radical Equations. This lecture will cover:

• Squaring Property of Equality

• Finding and Rejecting Extraneous Solutions

28:25

Study Notes for Solving Radical Equations.