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4.6
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Algebra 2 Explained

Master Algebra 2 and prepare yourself for Trigonometry, Pre-Calculus, and Calculus. Ace your Algebra Exam!
Instructor:
John Greene, M.A.
2,270 students enrolled
English [Auto]
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.

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

  • Radicals

  • Solving Quadratic Equation

  • 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

Sets

1
Sets Part 1

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

  • Basic definition of a set

  • Using the roster method

  • Subsets

2
Sets Part 1 Study Notes

Study Notes for Sets Part 1

3
Sets Part 1 Practice Test

Practice Test for Sets Part 1.

4
Sets Part 1

This quiz will test your knowledge of set theory.

5
Sets Part 2

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

6
Sets Part 2 Study Notes

Study Notes for Sets Part 2

7
Sets Part 2 Practice Test

Practice Test for Sets Part 2.

8
Sets Part 2

This quiz will test your knowledge of set theory.

Equations & Inequalities

1
Solving Linear Equations Part 1

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

2
Solving Linear Equations Part 1 Study Notes

Study Notes for Solving Linear Equations Part 1

3
Solving Linear Equations Part 1 Practice Test

Practice Test for Solving Linear Equations Part 1.

4
Solving Linear Equations Part 1

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

5
Solving Linear Equations Part 2

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)

6
Solving Linear Equations Part 2 Study Notes

Study Notes for Solving Linear Equations Part 2

7
Solving Linear Equations Part 2 Practice Test

Practice Test for Solving Linear Equations Part 2.

8
Solving Linear Equations Part 2

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

9
Repeating Decimal to Fraction

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

10
Repeating Decimal to Fraction Study Notes

Study Notes for Repeating Decimal to Fraction

11
Repeating Decimal to Fraction Practice Test

Practice Test for Repeating Decimal to Fraction.

12
Repeating Decimal to Fraction

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

13
Solving Literal Equations

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

14
Solving Literal Equations Study Notes

Study Notes for Solving Literal Equations.

15
Solving Literal Equations Practice Test

Practice Test for Solving Literal Equations.

16
Solving Literal Equations

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

17
Applications of Linear Equations Part 1

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

18
Applications of Linear Equations Part 1 Study Notes

Study Notes for Applications of Linear Equations Part 1

19
Applications of Linear Equations Part I Practice Test

Practice Test for Applications of Linear Equations Part I.

20
Applications of Linear Equations Part 1

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

21
Applications of Linear Equations Part 2

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"

22
Applications of Linear Equations Part 2 Study Notes

Study Notes for Applications of Linear Equations Part 2.

23
Applications of Linear Equations Part 2 Practice Test

Practice Test for Applications of Linear Equations Part 2.

24
Applications of Linear Equations Part 2

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

25
Applications of Linear Equations Part 3

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"

26
Applications of Linear Equations Part 3 Study Notes

Study Notes for Applications of Linear Equations Part 3.

27
Applications of Linear Equations Part 3 Practice Test

Practice Test for Applications of Linear Equations.

28
Applications of Linear Equations Part 3

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

29
Interval Notation

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

30
Interval Notation Study Notes

Study Notes for Interval Notation.

31
Interval Notation Practice Test

Practice Test for Interval Notation.

32
Interval Notation

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

33
Solving Linear Inequalities

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

  • Addition Property of Inequality

  • Multiplication Property of Inequality

  • Solving any Linear Inequality in one Variable

34
Solving Linear Inequalities Study Notes

Study Notes for Solving Linear Inequalities.

35
Solving Linear Inequalities Practice Test

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

36
Solving Linear Inequalities

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

37
Solving Compound Inequalities

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


38
Solving Compound Inequalities Study Notes

Study Notes for Solving Compound Inequalities.

39
Solving Compound Inequalities Practice Test

Practice Test for Solving Compound Inequalities.

40
Solving Compound Inequalities

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

41
Solving Absolute Value Equations

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

42
Solving Absolute Value Equations Study Notes

Study Notes for Solving Absolute Value Equations.

43
Solving Absolute Value Equations Practice Test

Practice Test for Solving Absolute Value Equations.

44
Solving Absolute Value Equations

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

45
Solving Absolute Value Inequalities

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"

46
Solving Absolute Value Inequalities Study Notes

Study Notes for Solving Absolute Value Inequalities.

47
Solving Absolute Value Inequalities Practice Test

Practice Test for Solving Absolute Value Inequalities.

48
Solving Absolute Value Inequalities

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

Graphing Equations & Inequalities

1
Linear Equations in two Variables

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

2
Linear Equations in two Variables Study Notes

Study Notes for Linear Equations in two variables.

3
Linear Equations in two Variables Practice Test

Practice Test for Linear Equations in two Variables.

4
Linear Equations in two Variables

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

5
Graphing Linear Equations

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

6
Graphing Linear Equations Study Notes

Graphing Linear Equations Study Notes.

7
Graphing Linear Equations Practice Test

Practice Test for Graphing Linear Equations.

8
Graphing Linear Equations

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

9
The Slope of a Line

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

10
The Slope of a Line Study Notes

The Slope of a Line Study Notes.

11
The Slope of a Line Practice Test

Practice Test for the Slope of a Line.

12
The Slope of a Line

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

13
More on Slope

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

14
More on Slope Study Notes

Study Notes for More on Slope.

15
More on Slope Practice Test

Practice Test for More on Slope.

16
More on Slope

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.

17
Forms of a Line

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

18
Forms of a Line Study Notes

Study Notes for Forms of a Line.

19
Forms of a Line Practice Test

Practice Test for Forms of a Line.

20
Forms of a Line

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.

21
Linear Inequalities in two Variables

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

22
Linear Inequalities in two Variables

Study Notes for Linear Inequalities in two Variables.

23
Linear Inequalities in two Variables Practice Test

Practice Test for Linear Inequalities in two Variables.

24
Linear Inequalities in two Variables

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

Functions

1
Relations and Functions

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

2
Relations and Functions Study Notes

Study Notes for Relations and Functions.

3
Relations and Functions Practice Test

Practice Test for Relations and Functions.

4
Relations and Functions

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

5
Function Vertical Line Test

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

6
Function Vertical Line Test Study Notes

Study Notes for Function Vertical Line Test.

7
Function Vertical Line Test Practice Test

Practice Test for Functions Vertical Line Test.

8
Function Vertical Line Test

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

9
Function Notation

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

10
Function Notation Study Notes

Study Notes for Function Notation.

11
Function Notation Practice Test

Practice Test for Function Notation.

12
Function Notation

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

Variation

1
Variation

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

2
Variation Study Notes

Study Notes for Variation.

3
Variation Practice Test

Practice Test for Variation.

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