Algebra 1 Explained from Udemy

Become a Master of Algebra 1 and Ace your next Exam. In this course, you will master the concepts of Algebra 1 with our step-by-step tutorials, written lessons, practice sets, practice tests, and quizzes.

The concepts you will learn are fundamental to success in higher math classes such as Algebra 2, Geometry, Trigonometry, and Calculus. Our course will begin with variables & expressions, and then continue with solving linear equations, solving linear inequalities, graphing linear equations in two variables, functions, rules of exponents, scientific notation, operations with polynomials, factoring, rational expressions, radicals, and lastly solving quadratic equations. The topics of our course include:

#1: Variables & Expressions

#2: Equation Definition

#3: Addition Property of Equality

#4: Multiplication Property of Equality

#5: Multi-Step Linear Equations

#6: Equations with Fractions/Decimals

#7: Special Case Equations

#8: Applications of Linear Equations 1

#9: Applications of Linear Equations 2

#10: Proportions

#11: Solving Linear Inequalities 1

#12: Solving Linear Inequalities 2

#13: Linear Equations in two Variables

#14: Plotting Ordered Pairs

#15: Graphing Linear Equations

#16: Slope Formula

#17: Equations of a Line

#18: Parallel & Perpendicular Lines

#19: Graphing Inequalities

#20: Introduction to Functions

#21: Solving Linear Systems by Graphing

#22: Solving Linear Systems by Substitution

#23: Solving Linear Systems by Elimination

#24: Applications of Linear Systems

#25: Systems of Linear Inequalities

#26: Exponents: Product & Power Rules

#27: Negative Exponents & the Quotient Rule

#28: Scientific Notation

#29: Adding & Subtracting Polynomials

#30: Multiplying Polynomials

#31: FOIL

#32: Special Polynomial Products

#33: Dividing Polynomials by Monomials

#34: Dividing Polynomials

#35: Dividing Polynomials with Missing Terms

#36: GCF of a Monomial

#37: Factoring out the GCF

#38: Factoring by Grouping

#39: Factoring Trinomials: a = 1

#40: Factoring Trinomials: a ≠ 1

#41: Special Factoring

#42: Solving Quadratic Equations by Factoring

#43: Rational Expression Definition

#44: Multiplying Rational Expressions

#45: LCD of Rational Expressions

#46: Adding Rational Expressions

#47: Complex Rational Expressions

#48: Solving Rational Equations

#49: Applications of Rational Expressions

#50: Direct Variation

#51: Inverse Variation

#52: Square Roots

#53: The Distance Formula

#54: Simplifying Radicals

#55: Adding Radicals

#56: Rationalizing the Denominator

#57: Further Operations with Radicals

#58: Solving Radical Equations

#59: Fractional Exponents

#60: Square Root Property

#61: Completing the Square

#62: The Quadratic Formula

What's inside

Syllabus

Students will learn how to solve a linear equation/inequality in one variable.

Welcome to the Course :)

What are Variables and Algebraic Expressions

(Optional Content) Practice Set Video

In this lesson, we will learn about variables and expressions.

Variables and Expressions Practice Test

(Optional Content) Practice Test Full Solutions

This quiz will test your understanding of variables and test your ability to evaluate an algebraic expression for a given value.

(Optional Content) Quiz Full Solutions

Equation Definition

In this lesson, we will gain a firm understanding of the difference between an algebraic expression and an equation.

Equation Definition Practice Test

This quiz will test your understanding of equations. You will be challenged with determining if a given value is a solution for an equation.

Addition Property of Equality

In this lesson, we learn how to solve basic equations using only addition and subtraction.

Addition Property of Equality Practice Test

This quiz will test your ability to solve linear equations using addition and subtraction.

Multiplication Property of Equality

In this lesson, we learn how to solve basic equations using multiplication and division.

Multiplication Property of Equality Practice Test

This quiz will test your ability to solve linear equations using multiplication or division.

Solving Linear Equations in One Variable Lesson

In this lesson, we learn how to solve multi-step linear equations in one variable.

Solving Linear Equations in One Variable Practice Test

This quiz will test your ability to solve any linear equation in one variable using the four step method.

Solving Linear Equations with Fractions or Decimals

In this lesson, we learn how to solve linear equations with fractions and decimals involved.

Solving Linear Equations with Fractions or Decimals Practice Test

This quiz will test your ability to solve a linear equation using fractions or decimals.

Special Case Linear Equations

In this lesson, we learn about conditional equations, identities, and contradictions.

Special Case Linear Equations Practice Test

This quiz will test your ability to identify a special case linear equation. This occurs when an equation has no solution, or an infinite number of solutions.

Applications of Linear Equations Part 1 (Word Problems)

In this lesson, we learn how to set up and solve word problems that involve linear equations in one variable.

Applications of Linear Equations Part 1 (Word Problems) Practice Test

This quiz will test your ability to solve word problems that involve setting up and solving a linear equation in one variable.

Applications of Linear Equations Part 2 (Word Problems)

In this lesson, we continue to learn about word problems with linear equations.

Applications of Linear Equations Part 2 (Word Problems) Practice Test

Solving Proportion Equations

In this lesson, we learn about solving proportion equations.

Solving Proportion Equations Practice Test

This quiz will test your ability to setup and solve proportion equations.

Solving Linear Inequalities Part 1

In this lesson, we learn how to solve linear inequalities in one variable.

Solving Linear Inequalities Part 1 Practice Test

This quiz will test your ability to solve one-step linear inequalities in one variable using the addition property of inequality and the multiplication property of inequality.

Solving Linear Inequalities Part 2

In this lesson, we continue to learn about solving linear inequalities

Solving Linear Inequalities Part 2 Practice Test

This quiz will test your ability to solve a multi-step linear inequality in one variable.

Students will work with linear equations in two variables. You will learn about the coordinate plane, how to graph equations/inequalities, and how to find the slope of a line.

Linear Equations in Two Variables

In this lesson, we introduce a new equation type, a linear equation in two variables: ax + by = c.

Linear Equations in Two Variables Practice Test

This quiz will test your ability to determine if a given ordered pair is a solution for a linear equation in two variables.

Plotting Ordered Pairs

In this lesson, we learn how to plot ordered pairs on the coordinate plane.

Plotting Ordered Pairs Practice Test

This quiz will test your ability to determine the coordinate of a given ordered pair on the coordinate plane.

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 1 Explained with these activities:

Review Pre-Algebra Concepts

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Strengthen foundational math skills to ensure a smoother transition into Algebra 1 concepts. A solid understanding of pre-algebra will make grasping algebraic concepts easier.

Browse courses on Order of Operations

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Review notes and examples from previous math courses.
Work through practice problems on Khan Academy or similar platforms.
Identify and focus on areas where you feel less confident.

Review 'Algebra I For Dummies'

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Supplement course materials with a comprehensive algebra textbook. This book offers alternative explanations and additional practice problems to reinforce learning.

View Pre-Calculus All-in-One For Dummies: Book +... on Amazon

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Read relevant chapters that correspond to the course topics.
Work through the example problems and practice exercises.
Use the book as a reference when you encounter difficulties with course material.

Equation Solving Drills

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Reinforce equation-solving skills through repetitive practice. Consistent practice will improve speed and accuracy in solving various types of algebraic equations.

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Solve a set of linear equations with increasing complexity.
Check your answers and identify any errors.
Repeat the process with different types of equations (fractions, decimals, etc.).

Four other activities

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Show all seven activities

Review 'Schaum's Outline of Elementary Algebra'

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Use a Schaum's Outline to get more practice problems. This book provides many worked examples.

View Schaum's Outline of Review of Elementary... on Amazon

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Read the chapter that corresponds to the course topics.
Work through the example problems.
Complete the practice exercises.

Peer Study Sessions

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Collaborate with peers to review concepts and solve problems together. Teaching and explaining concepts to others is a great way to reinforce your own understanding.

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Form a study group with other students in the course.
Meet regularly to review course material and work through practice problems.
Take turns explaining concepts to each other.
Work together to solve challenging problems.

Create an Algebra 1 Study Guide

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Synthesize and organize course material into a comprehensive study guide. Creating a study guide will help solidify understanding and serve as a valuable resource for future review.

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Review all course materials, including lessons, notes, and practice problems.
Organize the material into logical sections and subsections.
Summarize key concepts and formulas in your own words.
Include examples and practice problems for each concept.

Real-World Algebra Project

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Apply algebraic concepts to solve a real-world problem. This project will demonstrate the practical applications of algebra and enhance problem-solving skills.

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Identify a real-world problem that can be modeled using algebraic equations.
Define the variables and write the equations that represent the problem.
Solve the equations and interpret the results in the context of the problem.
Present your findings in a clear and concise report.

Career center

Learners who complete Algebra 1 Explained will develop knowledge and skills that may be useful to these careers:

Mathematics Teacher

A mathematics teacher helps students understand mathematical concepts. They develop lesson plans, grade assignments, and provide feedback to students to facilitate their learning. A strong grasp of algebra is essential for teaching mathematics at various levels. This course in particular helps solidify knowledge of variables, expressions, equations, inequalities, and functions, all of which are building blocks taught by a mathematics teacher. The course's coverage of solving linear equations, graphing, and working with polynomials helps build a foundation for effectively teaching these topics.

See salaries and explore the career path for Mathematics Teacher

Tutor

A tutor provides individualized instruction to students, helping them improve their understanding of specific subjects. Tutors often work with students who are struggling in a particular area or who want to improve their grades. This Algebra 1 Explained course is particularly useful for a tutor. A tutor can use what they learn in the course material, like variables, expressions, and equations, to assist students who are having trouble with their coursework. The step by step tutorials, practice tests, and quizzes are resources that a tutor can adapt and use to help the students they are working with.

See salaries and explore the career path for Tutor

Science Teacher

Science teachers educate students about the natural world, life, and the universe using experimentation and mathematics. For many fields of science, math plays an integral role to understanding data. A science teacher facilitates learning through lesson plans, homework, and projects. This Algebra 1 Explained course may be very contributive for a science teacher because the concepts covered are fundamental to understanding mathematical concepts. Understanding these concepts prepares a strong foundation for problem solving and teaching.

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Test Preparation Instructor

A test preparation instructor prepares students for standardized tests, such as the SAT or ACT. They provide instruction on test taking strategies and review the content covered on the tests. This Algebra 1 Explained course provides a strong foundation in algebra. It covers a wide range of topics, including solving equations, graphing, and working with exponents and polynomials. These topics may be useful for a test preparation instructor. By mastering these concepts, one may be well equipped to help students succeed on standardized tests.

See salaries and explore the career path for Test Preparation Instructor

Technical Trainer

A technical trainer delivers instruction on technical topics, such as software applications, hardware systems, or engineering principles. They develop training materials, conduct training sessions, and assess the effectiveness of training programs. Having a solid foundation in algebra helps when explaining technical concepts and solving technical problems. This Algebra 1 explained course would be very facilitative for a technical trainer. The course's coverage of variables and expressions, for example, helps build a foundation for understanding mathematical concepts.

See salaries and explore the career path for Technical Trainer

Curriculum Developer

A curriculum developer designs and creates educational materials, such as lesson plans, textbooks, and online courses. They work to ensure that the materials are aligned with learning standards, are engaging for students, and promote effective learning. This Algebra 1 Explained course may be useful for a curriculum developer. Comprehending the fundamentals of algebra, including equations, inequalities, and functions, helps when designing effective curricula. This course can inform the structure and content of algebra related educational materials.

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Financial Analyst

A financial analyst evaluates financial data to provide investment recommendations and financial advice. They analyze financial statements, market trends, and economic conditions to assess the risk and potential return of investments. This Algebra 1 Explained course may be useful for a financial analyst. A sufficient understanding of algebra helps one analyze financial data and build financial models. The course's coverage of equations, inequalities, exponents, and scientific notation helps build a foundation for mathematical finance.

See salaries and explore the career path for Financial Analyst

Statistician

A statistician collects, analyzes, and interprets data to identify trends and patterns. They use statistical methods and software to draw conclusions from data and make predictions about future events. This often requires an advanced degree. This Algebra 1 Explained course may be useful for a statistician. Understanding algebraic concepts such as variables, equations, functions, and data analysis helps when developing and applying statistical models. The course's coverage of these topics helps build a foundation for understanding more advanced statistical concepts.

See salaries and explore the career path for Statistician

Budget Analyst

A budget analyst helps organizations plan and manage their finances by developing budgets, monitoring spending, and analyzing financial data, which are tasks that benefit from mathematical training. This Algebra 1 Explained course may be useful for a budget analyst. A solid understanding of algebra, including equations, inequalities, and problem solving, helps when creating and managing budgets. The course's coverage of these topics may help build a foundation for understanding financial planning and analysis.

See salaries and explore the career path for Budget Analyst

Accountant

An accountant prepares and analyzes financial records to ensure accuracy and compliance with regulations. They use accounting principles and software to track financial transactions, prepare financial statements, and provide financial advice. This Algebra 1 Explained course may be useful for an accountant. Knowledge of algebra, including equations, expressions, and problem solving, helps when working with financial data and preparing financial reports. The course's coverage of these topics helps build a foundation for understanding financial concepts.

See salaries and explore the career path for Accountant

Data Analyst

A data analyst examines data to identify trends, patterns, and insights. They use statistical software and programming languages to analyze data and create reports. A data analyst uses math skills to analyze data and draw conclusions. This course may be useful for a data analyst. Grasping the concepts of variables, expressions, equations, and functions helps when working with data and building analytical models. The course's focus on problem solving and logical reasoning provides a foundation for effective data analysis.

See salaries and explore the career path for Data Analyst

Software Engineer

A software engineer designs, develops, and tests software applications. They use programming languages and software development tools to create software that meets the needs of users. While this course may not directly teach programming, understanding algebraic concepts like variables, expressions, and logical problem solving that the course teaches can be valuable. Many algorithms and coding fundamentals rely on mathematical principles, and this Algebra 1 Explained course may provide a useful foundation that helps build problem solving skills.

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Actuary

An actuary assesses financial risks and uncertainties, typically for insurance companies and pension funds. They use statistical models and mathematical techniques to estimate future events and determine appropriate pricing and funding levels. Actuaries typically hold an advanced degree. A strong foundation in algebra helps when developing and applying actuarial models. The course's coverage of equations, functions, and data analysis helps build a foundation for understanding more advanced actuarial concepts, however, content beyond Algebra 1 is required.

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Market Research Analyst

A market research analyst studies consumer behavior and market trends to advise companies on product development, marketing strategies, and pricing decisions. This Algebra 1 Explained course may be useful for a market research analyst. Comprehending algebraic concepts such as data analysis and statistical reasoning helps when interpreting market data and drawing conclusions about consumer behavior. The course's coverage of these topics may help build a foundation for understanding market research methodologies.

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Economist

An economist studies the production, distribution, and consumption of goods and services. They analyze economic data, develop economic models, and provide advice on economic policy. Economists typically hold an advanced degree. Though more advanced math is required, this Algebra 1 Explained course may be useful for an economist. An understanding of algebra helps when developing and analyzing economic models. The course's coverage of equations, functions, and data analysis may help build a foundation for understanding economic principles.

See salaries and explore the career path for Economist

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Algebra 1 Explained.

Pre-Calculus All-in-One For Dummies

Save

Provides a clear and accessible introduction to algebra concepts. It is particularly helpful for students who need extra support or a different perspective on the material. The book covers a wide range of topics, from basic operations to solving equations and graphing lines. It can be used as a reference text or for additional practice problems.

Pre-Calculus All-in-One For Dummies: Book + Chapter...

Paperback

Pre-Calculus All-in-One For Dummies: Book + Chapter...

Kindle Edition

Schaum's Outline of Review of Elementary...

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Great resource for students who need more practice problems. It contains hundreds of solved problems and practice exercises with answers. It is particularly useful for students who are struggling with specific concepts or who want to improve their problem-solving skills. This book is more valuable as additional reading than it is as a current reference.

Schaum's Outline of Review of Elementary...

Paperback

Algebra 1 Explained

What's inside

Syllabus

Save this course

Activities

Career center

Reading list

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