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Algebra 2 Explained

Master Algebra 2 with our Step by Step Video Tutorials and Practice with 1500 Practice Questions! Ace your Algebra Exam!
Instructor:
John Greene, M.A.
3,265 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 1500 Practice Questions from practice set videos, practice tests, quizzes, and a midterm/final exam. ALL PRACTICE PROBLEMS AND QUIZ PROBLEMS ARE FULLY SOLVED WITH OPTIONAL STEP-BY-STEP SOLUTION VIDEOS.

The concepts you will learn are fundamental to success in higher math classes such as Trigonometry, Pre-Calculus, and Calculus. In this course, we will begin by covering sets. We will then move into: 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, and solving non-linear systems of equations/inequalities. The topics of the course include:

#1: Sets Part 1

#2: Sets Part 2

#3: Linear Equations Part 1

#4: Linear Equations Part 2

#5: Repeating Decimal to Fraction

#6: Solving for a Specified Variable

#7: Applications of Linear Equations Part 1

#8: Applications of Linear Equations Part 2

#9: Applications of Linear Equations Part 3

#10: Interval Notation

#11: Linear Inequalities

#12: Compound Inequalities

#13: Solving Absolute Value Equations

#14: Solving Absolute Value Inequalities

#15: Linear Equations in two Variables

#16: Graphing Linear Equations

#17: The Slope of a Line

#18: Graphing Slope Intercept Form

#19: Point-Slope Form

#20: Linear Inequalities in two Variables

#21: What is a Function in Math

#22: Vertical Line Test

#23: Function Notation

#24: Variation

#25: Solving Systems by Graphing

#26: Solving Systems by Substitution

#27: Solving Systems by Elimination

#28: Systems of Equations (3 Variables)

#29: Applications of Linear Systems

#30: Gaussian Elimination (2 Variables)

#31: Gaussian Elimination (3 Variables)

#32: Graphing Systems of Inequalities

#33: Exponent Rules

#34: Adding & Subtracting Polynomials

#35: Multiplying Polynomials

#36: Special Products

#37: Polynomial Long Division

#38: Synthetic Division

#39: Operations on Functions

#40: Factoring out the GCF

#41: Factoring by Grouping

#42: How to Factor Trinomials

#43: Factoring Trinomials AC Method

#44: Factoring Trinomials Reverse FOIL

#45: Factoring Polynomials (Substitution)

#46: Special Factoring

#47: Solving Equations by Factoring

#48: Rational Expressions

#49: Multiplying Rational Expressions

#50: Adding Rational Expressions

#51: Complex Rational Expressions

#52: Solving Rational Equations

#53: Applications of Rational Expressions

#54: Radical Expressions

#55: Simplifying Radicals

#56: The Distance Formula

#57: Adding Radical Expressions

#58: Rationalizing the Denominator

#59: Rationalizing a Binomial Denominator

#60: Solving Radical Equations

#61: Complex Numbers

#62: Completing the Square

#63: The Quadratic Formula

#64: Equations (Quadratic in Form)

#65: Graphing Parabolas

#66: More on Parabolas

#67: Quadratic & Rational Inequalities

#68: Inverse Functions

#69: Exponential Functions

#70: Logarithmic Functions

#71: Properties of Logarithms

#72: Common & Natural Logarithms

#73: Exponential & Logarithmic Equations

#74: Additional Graphs of Functions

#75: Function Composition

#76: The Circle

#77: Graphing Ellipses

#78: Graphing Hyperbolas

#79: Non-Linear Systems of Equations

#80: Second Degree Inequalities

Sets

1
Welcome to the course :)

Welcome Message.

2
Sets Part 1
3
(Optional) Practice Set Video
4
Sets Part 1 Study Notes

Study Notes for Sets Part 1

5
Sets Part 1 Practice Test

Practice Test for Sets Part 1.

6
(Optional) Practice Test Step-by-Step Solutions
7
Sets Part 1

This quiz will test your knowledge of set theory.

8
(Optional) Quiz Step-by-Step Solutions
9
Sets Part 2
10
(Optional) Practice Set Video
11
Sets Part 2 Study Notes

Study Notes for Sets Part 2

12
Sets Part 2 Practice Test

Practice Test for Sets Part 2.

13
(Optional) Practice Test Step-by-Step Solutions
14
Sets Part 2

This quiz will test your knowledge of set theory.

15
(Optional) Quiz Step-by-Step Solutions

Equations & Inequalities

1
Solving Linear Equations Part 1
2
(Optional) Practice Set Video
3
Solving Linear Equations Part 1 Study Notes

Study Notes for Solving Linear Equations Part 1

4
Solving Linear Equations Part 1 Practice Test

Practice Test for Solving Linear Equations Part 1.

5
(Optional) Practice Test Step-by-Step Solutions
6
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.

7
(Optional) Quiz Step-by-Step Solutions
8
Solving Linear Equations Part 2
9
(Optional) Practice Set Video
10
Solving Linear Equations Part 2 Study Notes

Study Notes for Solving Linear Equations Part 2

11
Solving Linear Equations Part 2 Practice Test

Practice Test for Solving Linear Equations Part 2.

12
(Optional) Practice Test Step-by-Step Solutions
13
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.

14
(Optional) Quiz Step-by-Step Solutions
15
Repeating Decimal to Fraction
16
(Optional) Practice Set Video
17
Repeating Decimal to Fraction Study Notes

Study Notes for Repeating Decimal to Fraction

18
Repeating Decimal to Fraction Practice Test

Practice Test for Repeating Decimal to Fraction.

19
(Optional) Practice Test Step-by-Step Solutions
20
Repeating Decimal to Fraction

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

21
(Optional) Quiz Step-by-Step Solutions
22
Solving Literal Equations
23
(Optional) Practice Set Video
24
Solving Literal Equations Study Notes

Study Notes for Solving Literal Equations.

25
Solving Literal Equations Practice Test

Practice Test for Solving Literal Equations.

26
(Optional) Practice Test Step-by-Step Solutions
27
Solving Literal Equations

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

28
(Optional) Quiz Step-by-Step Solutions
29
Applications of Linear Equations Part 1
30
(Optional) Practice Set Video
31
Applications of Linear Equations Part 1 Study Notes

Study Notes for Applications of Linear Equations Part 1

32
Applications of Linear Equations Part I Practice Test

Practice Test for Applications of Linear Equations Part I.

33
(Optional) Practice Test Step-by-Step Solutions
34
Applications of Linear Equations Part 1

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

35
(Optional) Quiz Step-by-Step Solutions
36
Applications of Linear Equations Part 2
37
(Optional) Practice Set Video
38
Applications of Linear Equations Part 2 Study Notes

Study Notes for Applications of Linear Equations Part 2.

39
Applications of Linear Equations Part 2 Practice Test

Practice Test for Applications of Linear Equations Part 2.

40
(Optional) Practice Test Step-by-Step Solutions
41
Applications of Linear Equations Part 2

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

42
(Optional) Quiz Step-by-Step Solutions
43
Applications of Linear Equations Part 3
44
(Optional) Practice Set Video
45
Applications of Linear Equations Part 3 Study Notes

Study Notes for Applications of Linear Equations Part 3.

46
Applications of Linear Equations Part 3 Practice Test

Practice Test for Applications of Linear Equations.

47
(Optional) Practice Test Step-by-Step Solutions
48
Applications of Linear Equations Part 3

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

49
(Optional) Quiz Step-by-Step Solutions
50
Interval Notation
51
(Optional) Practice Set Video
52
Interval Notation Study Notes

Study Notes for Interval Notation.

53
Interval Notation Practice Test

Practice Test for Interval Notation.

54
(Optional) Practice Test Step-by-Step Solutions
55
Interval Notation

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

56
(Optional) Quiz Step-by-Step Solutions
57
Solving Linear Inequalities
58
(Optional) Practice Set Video
59
Solving Linear Inequalities Study Notes

Study Notes for Solving Linear Inequalities.

60
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.

61
(Optional) Practice Test Step-by-Step Solutions
62
Solving Linear Inequalities

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

63
(Optional) Quiz Step-by-Step Solutions
64
Solving Compound Inequalities
65
(Optional) Practice Set Video
66
Solving Compound Inequalities Study Notes

Study Notes for Solving Compound Inequalities.

67
Solving Compound Inequalities Practice Test

Practice Test for Solving Compound Inequalities.

68
(Optional) Practice Test Step-by-Step Solutions
69
Solving Compound Inequalities

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

70
(Optional) Quiz Step-by-Step Solutions
71
Solving Absolute Value Equations
72
(Optional) Practice Set Video
73
Solving Absolute Value Equations Study Notes

Study Notes for Solving Absolute Value Equations.

74
Solving Absolute Value Equations Practice Test

Practice Test for Solving Absolute Value Equations.

75
(Optional) Practice Test Step-by-Step Solutions
76
Solving Absolute Value Equations

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

77
(Optional) Quiz Step-by-Step Solutions
78
Solving Absolute Value Inequalities
79
(Optional) Practice Set Video
80
Solving Absolute Value Inequalities Study Notes

Study Notes for Solving Absolute Value Inequalities.

81
Solving Absolute Value Inequalities Practice Test

Practice Test for Solving Absolute Value Inequalities.

82
(Optional) Practice Test Step-by-Step Solutions
83
Solving Absolute Value Inequalities

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

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Includes

94 hours on-demand video
161 articles
Full lifetime access
Access on mobile and TV
Certificate of Completion