Algebra 2 Explained from Udemy

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.

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

What's inside

Syllabus

Students will learn the basics of set theory. You will understand how to arrange groups of information into sets. You will also understand how to work with visual aids, such as Venn Diagrams.

Welcome Message.

Study Notes for Sets Part 1

Practice Test for Sets Part 1.

Practice Test for Solving Linear Equations Part 1.

This quiz will test your knowledge of set theory.

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

Study Notes for Sets Part 2

Practice Test for Sets Part 2.

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

Study Notes for Solving Linear Equations Part 1

Practice Test for Repeating Decimal to Fraction.

Study Notes for Solving Linear Equations Part 2

Practice Test for Solving Linear Equations Part 2.

Study Notes for Repeating Decimal to Fraction

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

Study Notes for Solving Literal Equations.

Practice Test for Solving Literal Equations.

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

Study Notes for Applications of Linear Equations Part 1

Practice Test for Applications of Linear Equations Part I.

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

Study Notes for Applications of Linear Equations Part 2.

Practice Test for Applications of Linear Equations Part 2.

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

Study Notes for Applications of Linear Equations Part 3.

Practice Test for Applications of Linear Equations.

Study Notes for Interval Notation.

Practice Test for Interval Notation.

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

Study Notes for Solving Linear Inequalities.

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

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

Study Notes for Solving Compound Inequalities.

Practice Test for Solving Compound Inequalities.

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

Study Notes for Solving Absolute Value Equations.

Practice Test for Solving Absolute Value Equations.

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

Study Notes for Solving Absolute Value Inequalities.

Practice Test for Solving Absolute Value Inequalities.

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

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Read about what's good

what should give you pause

and possible dealbreakers

Covers concepts fundamental to success in Trigonometry, Pre-Calculus, and Calculus, providing a solid foundation for advanced mathematical studies

Includes over 1500 practice questions, offering ample opportunity to reinforce learning and prepare for exams

Features step-by-step video tutorials, catering to visual learners and providing clear explanations of algebraic concepts

Begins with a review of sets and progresses through linear equations, inequalities, functions, and systems of equations, offering a comprehensive overview

Includes applications of linear equations and systems, helping learners develop practical problem-solving abilities

Teaches Gaussian elimination for both two and three variable systems, which is a useful technique for solving complex systems of equations

Reviews summary

Comprehensive step-by-step algebra 2 guide

According to students, this course is a largely positive experience for mastering Algebra 2. Learners particularly highlight the clear and detailed explanations provided in the video tutorials, noting how complex topics are broken down into manageable steps. A significant strength frequently mentioned is the abundance of practice opportunities, including quizzes, tests, and numerous practice questions, which students find essential for reinforcing learning and preparing for exams. While some learners mention the pace can feel slow at times, overall, the course is considered thorough and highly effective for understanding fundamental concepts crucial for higher math courses.

Pace varies; delivery can be slow.

"Sometimes the pace felt a little slow, especially on topics I was already familiar with."

"The instructor's delivery is clear but sometimes feels a bit monotonous."

"For a quick refresher, the pace might be too slow, but it's great for learning from scratch."

"While thorough, some sections felt longer than necessary."

Covers all essential Algebra 2 topics.

"This course covers all the topics I needed for my Algebra 2 class, from start to finish."

"I was impressed by how many concepts were covered, including less common ones like conic sections."

"It provides a solid foundation and covers everything needed for Pre-Calculus."

"From sets to logarithms, the syllabus was fully covered with clear explanations."

Great preparation for classes/exams.

"Taking this course significantly helped me improve my grade in Algebra 2."

"I used this to prepare for a placement exam and felt confident because of it."

"This is an excellent resource for students who need extra help outside of school."

"It filled in the gaps from my previous math education and prepared me for college-level math."

Plenty of questions to test knowledge.

"The sheer number of practice questions and tests provided is amazing for solidifying understanding."

"Having over 1500 practice questions really makes a difference; I feel well-prepared for my exam."

"The quizzes and practice tests after each section are invaluable for checking my progress."

"I loved the variety of practice problems, from basic to more challenging applications."

"The practice materials were sufficient to ensure I mastered the concepts before moving on."

Breaks down complex topics simply.

"The instructor explains everything step-by-step, making even difficult concepts easy to grasp."

"I really appreciate how the videos break down complex algebra problems into simple, understandable parts."

"The explanations are very clear and concise. It's like having a great teacher explaining everything."

"This course helped me finally understand concepts that I struggled with in my high school class."

"Every lesson built logically on the last. The instructor makes the 'why' behind the math very clear."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Algebra 2 Explained with these activities:

Review Exponent Rules

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Reinforce your understanding of exponent rules before tackling more complex algebraic manipulations.

Browse courses on Exponents

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Review the basic exponent rules.
Work through practice problems.
Check your answers against solutions.

Review: Algebra II For Dummies

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Use this book as a reference to reinforce concepts and work through additional practice problems.

View Trigonometry For Dummies on Amazon

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Read relevant chapters.
Work through example problems.
Complete practice exercises.

Practice Solving Linear Equations

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Sharpen your skills in solving linear equations to prepare for more advanced equation-solving techniques.

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Solve a variety of linear equations.
Check solutions by substitution.
Analyze and correct mistakes.

Four other activities

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Show all seven activities

Form a Study Group

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Collaborate with peers to review concepts, solve problems, and explain solutions to each other.

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Schedule regular study sessions.
Assign topics for each session.
Explain concepts to each other.

Create a Cheat Sheet for Factoring

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Summarize different factoring techniques to create a handy reference guide for solving quadratic equations.

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List all factoring methods.
Provide examples for each method.
Organize the cheat sheet logically.

Build a Quadratic Equation Solver

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Develop a program or spreadsheet that solves quadratic equations using the quadratic formula.

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Implement the quadratic formula.
Test with various quadratic equations.
Handle complex number solutions.

Create a Presentation on Conic Sections

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Prepare a presentation explaining the properties and equations of circles, ellipses, hyperbolas, and parabolas.

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Research conic sections thoroughly.
Create visual aids and diagrams.
Practice the presentation.

Career center

Learners who complete Algebra 2 Explained will develop knowledge and skills that may be useful to these careers:

Mathematics Teacher

A mathematics teacher imparts mathematical knowledge to students of all ages. The Algebra 2 Explained course emphasizes fundamental concepts in algebra, covering topics such as linear equations, inequalities, functions, exponents, polynomials, and quadratic equations. A future mathematics teacher can use this course to reinforce their own grasp of algebra, which helps them explain material to students. The course provides a structured review with step by step examples that would improve an educator's confidence, leading to a more enjoyable and effective classroom environment. The teacher would find the course's quizzes, practice tests, and midterm/final exam especially helpful for lesson planning and assessment creation.

See salaries and explore the career path for Mathematics Teacher

Tutor

A tutor provides individualized instruction to students, often focusing on specific subjects or skills. The Algebra 2 Explained course directly relates to the needs of a tutor specializing in mathematics. With its comprehensive coverage of topics like solving equations, graphing, and working with functions, this course helps build a tutor's subject matter proficiency. The tutor can use the course's detailed video tutorials and practice questions to develop effective teaching strategies. A tutor will find the step by step approach to explaining algebraic concepts particularly useful in tailoring lessons to meet the unique learning styles of their students. The course's quizzes and tests also can be used to evaluate the student's grasp of algebraic concepts.

See salaries and explore the career path for Tutor

Curriculum Developer

A curriculum developer designs and creates educational materials and programs. The Algebra 2 Explained course may be useful because it offers a structured and comprehensive approach to teaching algebra. The course covers a wide range of topics, from basic linear equations to more advanced concepts such as conic sections and logarithmic functions. This structure may help someone refine their understanding of how algebraic concepts build upon one another, enhancing their ability to create a coherent and effective curriculum. The numerous practice problems and assessments included in the course provide valuable ideas for designing engaging and effective learning activities. The step-by-step video tutorials can offer insights into clear and concise instructional methods.

See salaries and explore the career path for Curriculum Developer

Actuary

An actuary assesses and manages financial risk, often using mathematical models and statistical analysis. Algebra 2 Explained may be useful because it helps build a foundation in essential mathematical concepts. The course's coverage of equations, functions, and exponential and logarithmic relationships can provide a helpful context for the more advanced mathematical techniques used in actuarial science. This could include regression analysis, time series analysis, and stochastic modeling. The skills acquired, such as problem solving and analytical thinking, translate into an improved ability to assess and predict risk accurately. The course's focus on practice problems and applications can further prepare an actuary to tackle complex financial challenges.

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Data Analyst

A data analyst collects, cleans, and analyzes data to identify trends and insights. The Algebra 2 Explained course may be helpful because it can strengthen the fundamental mathematical skills required for data analysis, such as understanding relationships between variables, interpreting data patterns, and applying mathematical models. The data analyst will be able to manipulate data more effectively. The course's wide ranging topics like graphing, functions, and equations may further develop the skills for transforming raw data into actionable insights. The included practice problems can further hone the skills needed to improve the quality and relevance of data-driven recommendations.

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Statistician

A statistician collects and analyzes data to draw conclusions and solve problems. Statisticians often require advanced degrees. Algebra 2 Explained helps provide a foundational understanding of mathematical principles. The course's exploration of functions, equations, and graphing techniques can provide a great tool for understanding the mathematical relationships underlying statistical models. This can lead to improved data analysis and interpretation. The course's problem solving approach may help an aspiring statistician in their ability to formulate hypotheses, design experiments, and draw statistically sound conclusions. The included practice problems can further hone the skills to analyze a statistical problem.

See salaries and explore the career path for Statistician

Financial Analyst

A financial analyst analyzes financial data, provides investment recommendations, and helps businesses make informed decisions. The Algebra 2 Explained course may be useful because it will build a foundation in mathematical concepts necessary for financial modeling and analysis. Topics covered include equations, functions, and exponential growth. This can help a financial analyst to better understand financial statements, perform ratio analysis, and create financial forecasts. The course's emphasis on problem solving can translate into improved ability to evaluate investment opportunities and assess financial risks. The included practice problems can further hone the skills needed to improve the quality and relevance of data-driven recommendations.

See salaries and explore the career path for Financial Analyst

Software Developer

A software developer designs, writes, and tests code to create software applications. The Algebra 2 Explained course may be useful because it strengthens logical thinking and problem-solving skills, which are essential for programming. The course covers fundamental concepts such as equations, functions, and algorithms, providing a great foundation for understanding more complex programming concepts. An improved understanding of algebra can translate into more efficient and effective code development. The course's emphasis on practice problems can further hone the skills needed to debug and optimize software programs.

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Economist

An economist studies the production, distribution, and consumption of goods and services. Economists often require advanced degrees. Algebra 2 Explained may be useful because it can help build a foundation in mathematical concepts used in economic modeling and analysis. The course's focus on equations, functions, and graphing techniques can provide a framework for understanding economic relationships and predicting market trends. This can enable an economist to perform more complex calculations. The course's problem solving approach can improve the ability to analyze economic data and formulate effective policy recommendations.

See salaries and explore the career path for Economist

Market Research Analyst

A market research analyst studies consumer behavior and market trends to advise companies on product development, marketing strategies, and pricing. The Algebra 2 Explained course may be useful because it can help build a foundation in mathematical concepts necessary for analyzing market data and interpreting statistical results. The course includes equations, functions, and graphing techniques. This can help a market research analyst understand consumer preferences, predict sales trends, and evaluate the effectiveness of marketing campaigns. The course's focus on problem-solving can improve the ability to draw meaningful conclusions from market data.

See salaries and explore the career path for Market Research Analyst

Accountant

An accountant prepares and analyzes financial records to ensure accuracy and compliance with regulations. The Algebra 2 Explained course may be useful because it can reinforce fundamental mathematical skills needed for accounting tasks, such as budgeting, financial statement analysis, and tax preparation. Mastery of equations, functions, and problem-solving techniques can lead to greater confidence in handling financial data and making sound financial decisions. Also, the course's emphasis on practice problems can hone the skills needed to identify and correct errors in financial records.

See salaries and explore the career path for Accountant

Budget Analyst

A budget analyst is responsible for developing and managing budgets for organizations. Algebra 2 Explained may be useful because it can help build a foundation in mathematical concepts necessary for creating and analyzing budgets accurately. Topics like solving equations and working with functions may improve skills with financial data, helping a budget analyst to develop realistic budget forecasts, monitor spending, and identify cost-saving opportunities. The course's problem solving approach can translate into the ability to analyze budget variances and make informed recommendations to improve financial performance.

See salaries and explore the career path for Budget Analyst

Researcher

A researcher conducts investigations and experiments to gather information and gain new knowledge in a specific field. Researchers often require advanced degrees. The Algebra 2 Explained course may be useful because it can help build a foundation in mathematical concepts and problem-solving skills that are essential for quantitative research methods. Because researchers often use statistical software, the underlying algebra in this course may be a useful asset. The course's coverage of equations, functions, and data analysis techniques may help a researcher design experiments, analyze data, and interpret results effectively. The skills developed can improve the quality and rigor of research findings.

See salaries and explore the career path for Researcher

Data Scientist

A data scientist uses statistical techniques, programming, and domain expertise to analyze complex data sets and extract meaningful insights. Data scientists often require advanced degrees. The Algebra 2 Explained course may be useful because it can help build a foundation in mathematical concepts necessary for understanding machine learning algorithms and statistical models. The skills gained can translate into an improved ability to clean, process, and analyze data to solve complex business problems. The course's emphasis on problem-solving can hone the skills needed to identify and implement the most appropriate data science techniques.

See salaries and explore the career path for Data Scientist

Business Analyst

A business analyst identifies business needs, analyzes data, and recommends solutions to improve organizational efficiency and effectiveness. The Algebra 2 Explained course may be useful because it can help build a foundation in analytical and problem-solving skills that are essential for business analysis. While this role is not primarily mathematical, some grasp of quantitative reasoning is required. The business analyst can improve their critical abilities by studying the course's coverage of equations, functions, and data interpretation techniques. The skills developed can translate into an increased ability to analyze business processes, identify areas for improvement, and develop effective solutions.

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Algebra 2 Explained

What's inside

Syllabus

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Reviews summary

Comprehensive step-by-step algebra 2 guide

Activities

Career center

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