Learn Algebra The Easy Way! from Udemy

What's inside

Learning objective

At the end of my course, students will be able to understand the basic fundamentals and principles of algebra.

Syllabus

Introduction

Welcome to Algebra. In this course, we will cover topics such as solving linear equations, graphing quadratic functions, and simplifying radical and rational expressions just to name a few. My recommendation is to work through each example problem in the videos. This will help to boost your algebra skills in the long run which will help you to do well in higher level math courses.

This lesson shows you how to add two numbers mentally by the use of a number line.

This lesson explains how to subtract two numbers mentally using a number line.

This lesson explains how to add two large numbers on paper without the use of a calculator.

This lesson explains how to subtract two large numbers on paper without using a calculator.

This video explains the concept of multiplication using repeated addition.

This lesson focuses on the relationship between multiplication and division.

This lesson explains how to multiply two large numbers without using a calculator.

This video explains how to divide two numbers using long division.

This 5 question multiple choice video quiz will test your knowledge on the basic principles of addition, subtraction, multiplication, and division. Make sure to pause the video to work on the problem first before viewing the solution.

This video provides a simple technique for adding and subtracting two fractions.

This lesson explains how to add and subtract three fractions by finding the common denominator. Keep in mind, you can only add or subtract fractions if they all share the same denominator.

This lesson explains how to multiply fractions which can be done by multiplying the numerators and denominators of each fraction separately.

This lesson shows you how to divide fractions using a technique known as "Keep Change Flip!"

This video discusses how to simplify complex fractions by clearing away the small fractions that are part of the larger fraction.

This lesson explains how convert mixed numbers into improper fractions and how to convert improper fractions to mixed numbers.

This lesson explains how to convert fractions into decimals using long division.

This video tutorial provides a simple way to convert decimals to fractions.

This 4 question multiple choice video quiz will test your knowledge of fractions and decimals.

This lesson explains how to solve simple linear equations in one step using addition and subtraction. The purpose of solving an equation is to find the value of x. To do this, rearrange the equation until the variable 'X' is by itself on one side of the equation.

This lesson focuses on solving linear equations with X variables on both sides of the equation. In this situation, move all x variables to one side of the equation and move all constants (non-variables) to the other side of the equation and solve.

This lesson focuses on solving linear equations that contain parentheses. The distributive property will be useful in this situation.

This lesson focuses on solving linear equations that contain fractions. The first thing I would recommend doing is to clear away all fractions by multiplying every term on both sides of the equation by the common denominator of all fractions in the equation.

This video explains how to solve linear equations with fractions using cross multiplication. You should cross multiply whenever you have two fractions separated by an equal sign and nothing else.

This video explains how to solve linear equations containing decimals. For equations containing decimals rounded to the tenth place, you should multiply every term in the equation by ten to remove all decimals from the equation. For equations containing decimals rounded to the hundredth place, you should multiply all terms by 100.

This free response video quiz contains 5 questions. Pause the video and work on solving each equation and then unpause it to see the solution.

This lecture focuses on the order of operations as it relates to addition and subtraction.

This video focuses on the order of operations with regard to multiplication and division.

This lesson focuses on examples of simplifying expressions using mixed operations of multiplication, division, addition, and subtraction.

This video focuses on simplifying expressions that contain exponents. Exponents are a representation of repeated multiplication.

This lesson contains examples of simplifying expressions with parentheses and exponents using order of operations. PEMDAS represents the order of operations. Parentheses and Exponents have the highest priority followed by multiplication and division and then addition and subtraction.

This lesson provides examples with fractions. The principles of PEMDAS still apply here.

This free response video quiz contains 4 example problems. Don't forget to pause the video and work out each example before viewing the solution.

This short lecture explains how to graph ordered pairs (x,y) on a x-y coordinate system.

This lecture explains how to graph linear equations in slope-intercept form or y=mx+b form. It includes an example with a fractional slope. First, plot the y-intercept (B) on the y-axis and then use the slope (m) to find the next point. The slope is the ratio of rise over run. A slope of 2 which is equal to 2/1 means you should go up 2 units (rise) starting from the y-intercept and then travel 1 unit to the right (run) to get the next point on the graph.

This lecture explains how to graph linear equations in standard form or Ax + By = C form. The best way to graph it is by finding the x and y intercepts of the function and plotting those points.

This lesson explains how to graph horizontal and vertical lines.

This lecture explains how to determine the slope between two points. Examples include fractions as well.

This video explains how to determine if the two lines are parallel, perpendicular, or neither by comparing the slopes of the two lines.

This lecture explains how to write the linear equation in point-slope form, slope-intercept form, and standard form given a point and the slope of the line.

This video explains how to write a linear equation in slope intercept form, point-slope form, and in standard form given 2 points found on the line.

This lesson explains how to write linear equations of parallel lines. Parallel lines share the same slope.

This lesson explains how to write linear equations of perpendicular lines. Perpendicular lines have slopes that are negative reciprocals of each other.

This lesson explains how to graph linear equations that are in point slope form. It's not as difficult as it sounds. All you need to graph a line is a point and the slope. You can use the slope to find the additional points after plotting the first point.

This video quiz contains 10 multiple choice questions that covers the lessons found in this section.

This lesson shows you how to graph linear inequalities on a number line. It explains when you should have an open circle vs a closed circle. It also discusses how to write the solution using interval notation.

This lesson focuses on solving linear inequalities including examples with fractions and compound inequalities. The solution is plotted on a number line and expressed using interval notation. Don't forget to change the direction of the inequality sign when multiplying or dividing by a negative number.

This lecture explains how to solve absolute value equations. When removing an absolute value expression, don't forget to write two equations - a negative and a positive one!

This lecture explains how to solve equations that contain absolute value expressions with inequalities. When removing the absolute value expression to solve the equation, write two equation - one positive and one negative and change the inequality sign for the negative equation.

This lecture explains how to graph absolute value functions using transformations such as vertical shifts, horizontal shifts, and reflections over the x-axis. This video explains how to graph the equation conceptually and contains an example of graphing it using a data table. It also contains a few examples of writing the domain and range of the function in interval notation.

This lesson explains how to graph linear inequalities on a x-y coordinate system. It explains how to determine the appropriate region of the graph in which to shade to correctly represent the solution of the inequality.

This lecture explains how to graph systems of linear inequalities and where to shade the appropriate region to represent the solution of the system.

This video quiz contains 4 multiple choice questions that covers the first four lectures of this section.

This lesson explains when you should add, subtract, or multiply two exponents together.

This lesson contains more examples of simplifying expressions by adding, subtracting or multiplying exponents.

This lecture explains how to change a negative exponent into a positive exponent in order to simplify an algebraic expression.

This lesson provides many examples of simplifying algebraic expressions with multiple variables many of which contain negative exponents.

This lecture explains how to identify a monomial, binomial, and a trinomial.

This lesson will help you to identify the leading coefficient of a polynomial as well as its degree.

This video will help you to identify the degree of a polynomial with multiple variables such as X and Y.

This lesson explains how to add and subtract polynomials. Always distribute the negative sign first when subtracting polynomials to avoid mistakes commonly made by many students in this area.

This lesson explains how to multiply two binomials together using the foil method.

This lecture shows you how to multiply a monomial by a trinomial.

This video explains how to multiply a binomial by a trinomial using the foil method. The product of a binomial (2 terms) and a trinomial (3 terms) will produce a polynomial with 6 terms before combining any like terms.

This video explains how to multiply two trinomials together using a technique similar to the foil method.

This lesson explains how to divide a polynomial by a monomial. Long division is not needed for this lesson.

This video explains how to divide a polynomial by a binomial using long division.

This video quiz contains plenty of examples reviewing the lessons covered in this section. Make sure to pause the video and work out the problem before viewing the solution.

This 2nd free response video quiz is simply a continuation of the first one.

This video explains how to factor the GCF or Greatest Common Factor.

This video explains how to factor a polynomial with 4 terms by grouping.

This video explains how to factor trinomials when the leading coefficient is 1.

This lecture explains how to factor trinomials when the leading coefficient is not 1. You need to understand how to factor by grouping before watching this lesson.

This lesson explains how to factor perfect square trinomials in the form A^2 + 2AB + B^2 which is equivalent to (A+B)^2.

This video explains how to factor differences of perfect squares using the formula A^2 - B^2 = (A + B)(A - B).

This lecture discusses how to factor sums of perfect cubes and differences of perfect cubes. Here are the equations that you need: (A^3 + B^3) = (A + B)(A^2 - AB + B^2) and (A^3 - B^3)(A^2 + AB + B^2)

This lesson contains examples of factoring polynomials with many terms and multiple variables such a and b or x and y. Multiple factoring steps are required to factor the polynomial expressions completely.

This lecture explains how to solve equations by factoring.

This video quiz contains a few free response questions that covers the lessons found in this section.

This lesson helps you to determine if an ordered pair is a solution to a system of two linear equations.

This lecture explains how to solve a system of two linear equations using the elimination method.

This video tutorial shows you how to solve a system of two linear equations using the substitution method.

This lecture discusses how to solve a system of equations containing fractions. My recommendation is to clear away all fractions by multiplying every term by the common denominator of each fraction in the equation.

This lecture discusses how to solve systems of equations with Decimals. Multiply both sides by 10 to eliminate decimals rounded to the tenth place and multiply every term by 100 to eliminate decimals rounded to the hundredth place.

This lecture explains how to determine if a solution is consistent, inconsistent, dependent, or independent based on if there's one solution, no solution, or infinitely many solutions.

This lecture discusses how to solve systems of equations by graphing. The solution is the point where the two graphs intersect.

This lecture explains how to solve a system of three equations using the elimination method also known as the addition method.

This video provides an investment word problem that explains how to write a system of equations and to solve it at the same time.

This lecture explains how to solve total value word problems using a system of equations.

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Covers core concepts of algebra, suitable for intermediate algebra and college algebra university courses, as well as high school students in algebra 1 through algebra 3

Instructors are experts in organic chemistry, providing a strong foundation in the subject matter

Provides a comprehensive overview of algebra topics, from basic arithmetic to complex imaginary numbers, covering a wide range of mathematical concepts

Includes engaging videos and examples to reinforce learning and boost algebra skills

Course requires basic math skills and a graphing calculator, which may pose a barrier for some learners

Assumes learners have prior knowledge of basic algebra concepts, making it less suitable for complete beginners

Reviews summary

Comprehensive algebra for students

According to learners, "Learn Algebra The Easy Way!" is a comprehensive and well-structured course covering a wide range of algebra topics suitable for high school and university students. Many students highlight the instructor's clear explanations and the step-by-step approach to solving problems, particularly appreciating the numerous examples provided in the video lectures. The course is often described as a great resource for beginners or those needing a refresher. While the video quizzes offer some practice, a few reviews suggest that more diverse or challenging practice problems would be beneficial for solidifying understanding.

Quizzes test understanding of video lessons.

"The video quizzes were a nice way to check my understanding immediately."

"Short quizzes after each section help reinforce learning."

"I used the quizzes to see if I needed to rewatch any videos."

"Quiz questions are relevant to the lesson just taught."

Ideal for starting algebra or reviewing basics.

"Perfect for someone starting algebra from scratch."

"This was a great refresher course for me after many years."

"Helped me build a strong foundation before tackling college level math."

"If you are new to algebra, this course is a fantastic starting point."

Plenty of practice problems are shown.

"The large number of examples helped solidify the concepts."

"I loved how the instructor worked through so many different types of problems."

"Working through the examples in the videos was very helpful."

"Good examples make the material much easier to grasp."

Covers a broad range of algebra topics.

"This course covers pretty much everything you need for high school algebra and beyond."

"From basic arithmetic to conic sections, it's all here."

"A very comprehensive overview of fundamental and intermediate algebra."

"The syllabus covers all the key areas I needed to review."

Instructor breaks down concepts effectively.

"The instructor explains everything in a very clear and concise way."

"His explanations are easy to follow, even for someone who struggled with math."

"I really appreciate the clear, step-by-step explanations for each problem."

"The instructor's method of explaining complex ideas is fantastic."

Requests for additional practice problems.

"Could use more practice problems beyond the video quizzes."

"I wish there were more varied exercises to work through."

"The quizzes are okay, but I needed more problems to really master it."

"Additional homework sets would make this course perfect."

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 Learn Algebra The Easy Way! with these activities:

Simplify Fractions Practice

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Brush up on simplifying fractions before starting this Algebra course to improve proficiency with fundamental operations.

Browse courses on Algebra

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Review the concept of finding the greatest common factor (GCF) of two numbers.
Practice simplifying fractions by dividing both the numerator and denominator by their GCF.
Solve practice problems involving fraction simplification.

Review Elementary Algebra Concepts

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Refresh your knowledge of elementary algebra concepts to strengthen your foundation before starting this course.

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Review the basics of algebra, including operations on real numbers, exponents, and polynomials.
Practice solving simple equations and inequalities.
Review the concept of functions and their graphs.

Organize and Review Course Materials

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Organize and review your lecture notes, assignments, and practice problems to enhance your understanding of the course material.

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Gather all relevant course materials, including notes, handouts, and assignments.
Organize the materials chronologically or by topic.
Review the materials regularly to reinforce your understanding.

Six other activities

Expand to see all activities and additional details

Show all nine activities

Create a Mind Map of Algebra Concepts

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Develop a visual representation of Algebra concepts through a mind map. This will aid in organizing and connecting your understanding.

Browse courses on Algebra

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Brainstorm and list down all the key concepts covered in Algebra.
Organize the concepts into a hierarchical structure, connecting related topics.
Use colors, images, or symbols to enhance the visual appeal and make it easier to remember.

Learn How to Solve Equations Step-by-Step

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Explore guided tutorials that demonstrate step-by-step methods for solving equations. This will strengthen your problem-solving skills.

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Watch video tutorials or read articles that provide a structured approach to solving equations.
Follow along with the examples and practice solving equations on your own.
Seek clarification if you encounter any difficulties.

Join a Study Group or Discussion Forum

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Engage with peers in study groups or discussion forums to exchange knowledge, clarify concepts, and enhance your learning.

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Identify or create a study group with classmates or online participants.
Meet regularly to discuss course topics, solve problems, and quiz each other.
Participate in online discussion forums to ask questions, share insights, and engage with a broader community.

Explore Online Tutorials on Factoring Polynomials

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Enhance your understanding of factoring polynomials by exploring online tutorials that provide clear explanations and step-by-step demonstrations.

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Identify reputable online platforms or educators offering tutorials on factoring polynomials.
Follow along with the tutorials, taking notes and practicing the techniques shown.
Seek assistance from the tutorial creators or online forums if you encounter difficulties.

Polynomials Practice Problems

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Engage in practice drills that focus on polynomials to reinforce your understanding of their operations and properties.

Browse courses on Polynomials

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Review the concepts of polynomials, including their degree and coefficients.
Solve practice problems involving addition, subtraction, and multiplication of polynomials.
Factor polynomials using various techniques, such as factoring by grouping or using the quadratic formula.

Equation Solving Practice Problems

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Engage in practice drills to refine your equation-solving skills, covering various equation types and techniques.

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Review the different methods of equation solving, such as isolation, substitution, and quadratic formula.
Solve practice problems involving linear equations, quadratic equations, and systems of equations.
Check your solutions and identify areas where you need further practice.

Career center

Learners who complete Learn Algebra The Easy Way! will develop knowledge and skills that may be useful to these careers:

Electrical Engineer

Electrical engineers use algebra to design and build electrical systems. This course can be useful for electrical engineers, as it can help them to improve their understanding of algebra and learn new electrical engineering techniques.

See salaries and explore the career path for Electrical Engineer

Math Teacher

Math teachers instruct students in algebra and other mathematical concepts. This course can be useful for math teachers, as it can help them to improve their understanding of algebra and learn new teaching methods.

See salaries and explore the career path for Math Teacher

Data Analyst

Data analysts use algebra to analyze data and solve problems. This course can be useful for data analysts, as it can help them to improve their understanding of algebra and learn new data analysis techniques.

See salaries and explore the career path for Data Analyst

Statistician

Statisticians use algebra to analyze data and draw conclusions. This course can be useful for statisticians, as it can help them to improve their understanding of algebra and learn new statistical techniques.

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Actuary

Actuaries use algebra to assess risk and calculate premiums for insurance policies. This course can be useful for actuaries, as it can help them to improve their understanding of algebra and learn new actuarial techniques.

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Financial Analyst

Financial analysts use algebra to analyze financial data and make investment recommendations. This course can be useful for financial analysts, as it can help them to improve their understanding of algebra and learn new financial analysis techniques.

See salaries and explore the career path for Financial Analyst

Operations Research Analyst

Operations research analysts use algebra to solve problems in business and industry. This course can be useful for operations research analysts, as it can help them to improve their understanding of algebra and learn new operations research techniques.

See salaries and explore the career path for Operations Research Analyst

Software Engineer

Software engineers use algebra to design and develop software applications. This course can be useful for software engineers, as it can help them to improve their understanding of algebra and learn new software development techniques.

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Web Developer

Web developers use algebra to design and develop websites. This course can be useful for web developers, as it can help them to improve their understanding of algebra and learn new web development techniques.

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Systems Analyst

Systems analysts use algebra to analyze and design computer systems. This course can be useful for systems analysts, as it can help them to improve their understanding of algebra and learn new systems analysis techniques.

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Database Administrator

Database administrators use algebra to design and manage databases. This course can be useful for database administrators, as it can help them to improve their understanding of algebra and learn new database administration techniques.

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Computer Programmer

Computer programmers use algebra to write code for computer programs. This course can be useful for computer programmers, as it can help them to improve their understanding of algebra and learn new programming techniques.

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Civil Engineer

Civil engineers use algebra to design and build infrastructure projects. This course can be useful for civil engineers, as it can help them to improve their understanding of algebra and learn new civil engineering techniques.

See salaries and explore the career path for Civil Engineer

Mechanical Engineer

Mechanical engineers use algebra to design and build machines. This course can be useful for mechanical engineers, as it can help them to improve their understanding of algebra and learn new mechanical engineering techniques.

See salaries and explore the career path for Mechanical Engineer

Tutor

Tutors provide personalized instruction to students in a variety of subjects, including algebra. This course can be useful for tutors, as it can help them brush up on their algebra skills and learn new teaching methods.

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