Basic Algebra made completely easy!

Succeed in math class with our complete Basic Algebra help. We cover all topics you will see in any typical Basic Algebra class, Florida FSA and Massachusetts MCAS!

With our walkthrough video lessons, you will gain a solid understanding on all topics in basic algebra like Linear equations, Fractions, Pythagorean Theorem, different types of Polynomials, Exponents, and so many more. Learn the concepts with our tutorials that show you step-by-step solutions to even the hardest basic algebra problems. Then, reinforce your understanding with tons of basic algebra practice.

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Common Questions
My basic algebra test is coming up in a few days. Can you guys help me prepare for it?

Sure! You can first work on the basic algebra problems available on our site to identify areas you need help with the most. For instance, if you have trouble with basic algebra words problems, you can watch our video lessons on the topic to see how teachers solve the questions. You can then do the practice questions posted on our site. Sometimes, you may need to review the basics from the lower grades such as 7th grade math and 8th grade math. No worries, you have access to all these materials with your StudyPug subscription.

I don't know how to do basic algebra problems on factoring polynomials. What can this do to help me?

We have tons of video lessons which give you a walkthrough on every basic algebra concept. Those lessons also include step by step solutions to questions that you always see in textbooks and tests. It should help you tackle the problems. Of course, we have more than factoring polynomials for basic algebra. Browse through our site, and do better in math!

What are the prerequisites for Basic Algebra?

A prerequisite for this course is either Pre-Algebra or 8th grade math, and after you mastered Statistics, your follow up course should be Algebra 1.

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Basic Algebra topics

We have plenty of free lessons for you to watch

1Foundations

1.1Determine square roots of rational numbers
1.2Square and square roots (free lessons)

2Ratios, Rates, Proportions and Percent

2.1Ratios (free lessons)
2.2Rates
2.3Proportions
2.4Representing percents (free lessons)
2.5Percents, fractions, and decimals
2.6Percent of a number
2.7Adding and multiplying percents
2.8Taxes, discounts, tips and more
2.9Simple interest

3Fractions

3.1Multiplying fractions and whole numbers (free lessons)
3.2Dividing fractions with whole numbers
3.3Multiplying proper fractions
3.4Multiplying improper fractions and mixed numbers
3.5Dividing fractions and mixed numbers
3.6Applications of fraction operations

4Algebraic Expressions

4.1Characteristics of polynomials (free lessons)
4.2Equivalent expressions of polynomials
4.3Adding and subtracting polynomials
4.4Multiplying and dividing monomials (free lessons)
4.5Multiplying polynomials by monomials
4.6Dividing polynomials by monomials

5Linear Relations

5.1Understanding graphs of linear relationships (free lessons)
5.2Understanding tables of values of linear relationships
5.3Applications of linear relationships (free lessons)
5.4Representing patterns in linear relations
5.5Reading linear relation graphs
5.6Solving linear equations by graphing

6Linear equations

6.1Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
6.2Solving linear equations using addition and subtraction: ax+b=cax + b = c
6.3Solving linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c
6.4Solving linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c
6.5Solving linear equations using multiplication and division (free lessons)
6.6Solving two-step linear equations: ax+b=cax + b = c, xa+b=c{x \over a} + b = c
6.7Solving linear equations using distributive property: a(x+b)=ca(x + b) = c (free lessons)
6.8Solving linear equations with variables on both sides
6.9Solving literal equations

7Linear inequalities

7.1Express linear inequalities graphically and algebraically (free lessons)
7.2Solving one-step linear inequalities (free lessons)
7.3Solving multi-step linear inequalities (free lessons)
7.4Compound inequalities

8Linear Functions

8.1Relationship between two variables (free lessons)
8.2Understand relations between x- and y-intercepts
8.3Domain and range of a function (free lessons)
8.4Identifying functions
8.5Function notation (free lessons)
8.6Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} (free lessons)
8.7Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2) (free lessons)
8.8Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
8.9Slope intercept form: y = mx + b (free lessons)
8.10General form: Ax + By + C = 0 (free lessons)
8.11Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1) (free lessons)
8.12Rate of change
8.13Graphing linear functions using table of values
8.14Graphing linear functions using x- and y-intercepts (free lessons)
8.15Graphing from slope-intercept form y=mx+b
8.16Graphing linear functions using a single point and slope
8.17Word problems of graphing linear functions
8.18Parallel and perpendicular lines in linear functions (free lessons)
8.19Applications of linear relations

9Solving Linear Systems

9.1Determining number of solutions to linear equations (free lessons)
9.2Solving systems of linear equations by graphing
9.3Using elimination method to solve systems of equations
9.4Using substitution method to solve systems of equations
9.5Money related questions in linear equations (free lessons)
9.6Unknown number related questions in linear equations
9.7Distance and time related questions in linear equations
9.8Rectangular shape related questions in linear equations

10Introduction to exponents

10.1Using exponents to describe numbers (free lessons)
10.2Exponent rules
10.3Order of operations with exponents
10.4Using exponents to solve problems

11Exponents

11.1Product rule of exponents (free lessons)
11.2Quotient rule of exponents
11.3Power of a product rule
11.4Power of a quotient rule
11.5Power of a power rule (free lessons)
11.6Negative exponent rule
11.7Combining the exponent rules
11.8Scientific notation
11.9Rational exponents (free lessons)
11.10Solving for exponents

12Operations of Polynomials

12.1What is a polynomial? (free lessons)
12.2Polynomial components
12.3Multiplying monomial by monomial
12.4Multiplying monomial by binomial
12.5Multiplying binomial by binomial (free lessons)
12.6Multiplying polynomial by polynomial
12.7Applications of polynomials

13Factoring polynomial Expressions

13.1Common factors of polynomials (free lessons)
13.2Factoring polynomials by grouping
13.3Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
13.4Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
13.5Factoring polynomials: x2+bx+cx^2 + bx + c (free lessons)
13.6Applications of polynomials: x2+bx+cx^2 + bx + c
13.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
13.8Factoring polynomials: ax2+bx+cax^2 + bx + c
13.9Factoring perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2 (free lessons)
13.10Find the difference of squares: (a - b)(a + b) = a2−b2a^2 - b^2
13.11Evaluating polynomials
13.12Using algebra tiles to factor polynomials
13.13Solving polynomial equations (free lessons)
13.14Word problems of polynomials

14Scale Factors and Similarity

14.1Enlargements and reductions with scale factors (free lessons)
14.2Scale diagrams
14.3Similar triangles
14.4Similar polygons

15Pythagorean Theorem

15.1Squares and square roots (free lessons)
15.2Pythagorean theorem (free lessons)
15.3Estimating square roots (free lessons)
15.4Using the pythagorean relationship
15.5Applications of pythagorean theorem
Don't see what you need?
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What is Basic Algebra?

Basic algebra is the course of study that follows pre-algebra, building upon your understanding of core concepts and exploring more advanced forms of algebra. This course will adequately prepare you to study intermediate algebra or algebra 2 later down the line.

Within basic algebra itself, you can expect to explore things like fractions, linear equations, linear systems, exponent rules, and the Pythagorean Theorem. You will also learn how to determine the square roots of rational numbers, multiply fractions and whole numbers, dividing fractions and mixed numbers, reading linear relation graphs, and much more.

StudyPug has content available for all the topics mentioned above, plus a wealth of materials on all other aspects of basic algebra. If you need help isolating areas for improvement within this subject, have a look at our basic algebra problems and work on them. This will allow you to determine which areas of algebra you need to work on.

The skills learnt in basic algebra can greatly improve your problem solving skills outside of math class, and it can be utilized in many professions too. For example, did you know that basic algebra can make video games more fun!?

How to Do Basic Algebra?

Understanding basic algebra may seem like a tough thing to get your head around, but once you know where to begin, the task becomes much simpler. If you're looking to solve basic algebra problems, you must first adhere to the general rules that apply to solving equations. You should attempt to solve the math problems that exist within the parentheses first. Once that has been completed, you can then tackle the exponents. Upon completing these steps, you can then multiply, divide, add, and then subtract where needed to solve the equation.

If you're having difficulty in remembering these rules of algebra and the sequence in which you should tackle them, use the acronym "PEMDAS" to help you. PEMDAS stands for the following

Parentheses
Exponents
Multiply
Divide
Add
Subtract

Additionally, if you're struggling with basic algebra homework or revision, you should consider visiting https://www.studypug.com/basic-algebra for a wide collection of easy practice materials, step-by-step examples, and 24/7 help.

With most things in life, practice makes perfect and StudyPug has 1000's of lessons across a wide range of math topics to help you along your way. The content on the website mirrors the same content found in modern textbooks and the current school curriculum, making StudyPug the perfect basic algebra tutor at a fraction of the cost!

What Grade Is Basic Algebra Taught?

Basic algebra tends to be taught to students in 9th or 10th grade. A prerequisite for this course would be pre-algebra or successful completion of 8th grade math. As mentioned above, upon completing basic algebra, students can progress to Algebra 2 or intermediate Algebra.

You don't need to currently be studying basic algebra to benefit from our fantastic content though. If you're in a lower grade and want to get ahead of next year's content, or you're a mature student looking for revision materials ahead of a re-sit exam, StudyPug's vast collection of content will take you through all the relevant topics you can expect to cover in a basic algebra program at a pace that suits your specific learning style.

If you're in grade 9 or 10 and you're currently studying basic algebra, consider using StudyPug as a companion to your studies. Developing a strong foundation of the basics now will greatly benefit you down the line when it comes time to studying more advanced forms of algebra.

Is Basic Algebra Hard?

As mentioned above, basic algebra can seem intimidating at first, which is why it's necessary to develop a firm understand of PEDMAS to succeed. To assist you in this matter, StudyPug has built an extensive basic algebra tutorial library that covers practically every question you would expect to have in relation to PEDMAS and all other areas of basic algebra.

At StudyPug, we understand that every learner has their own unique way of learning and to that end, we have decided to build our content with a "basic algebra for dummies" approach that starts from the ground up, assumes no prior knowledge, and covers all areas of the subject matter. Each section of our content has also been thoughtfully designed to flow naturally from one to the next so that you can build off what you've just learned, introducing more complex elements when you're ready.

If you choose to subscribe to our platform, you'll have access to our basic algebra content and every lesson available on our site. If you're looking for a specific element of basic algebra, we've got you covered. Furthermore, there's no need to cover topics you already know in order to access the topics you're unfamiliar with. You can customize your learning experience by choosing the content that is relevant to you.

Put simply, basic algebra doesn't have to be hard. If you want to learn basic algebra, StudyPug can help. Whether you need help with basic algebra revision or have basic algebra homework to complete, StudyPug delivers a host of online videos, exam prep materials, and additional resources that can dramatically improve your understanding of the subject and better prepare you for upcoming exams.

How to Learn Basic Algebra?

When it comes to math, the best way to learn is with repetition. Beyond the classroom, set aside some study time at home and utilize tools like StudyPug to highlight areas of weakness. Doing so can make a huge difference to your performance in class and on your tests/quizzes.

Get yourself into a good study habit and aim to set aside an hour or two each evening to go over the basic algebra content that you've been taught in class. Reviewing this content will help you to better digest the information and more importantly, to retain it!

If you find it hard to stay focused when it comes to studying, or find it difficult to work from a textbook, StudyPug offers an extensive collection of online revision aides and test prep materials that are delivered in an easy to follow collection of video tutorials. These videos are not too dissimilar to YouTube and are accessible 24/7. Providing you with video content gives you the option to pause, rewind, or fast forward the information, allowing you to learn at your own pace.

You may find that the video format is a lot more palatable and easier to follow than traditional textbooks. That's because our online content avoids the overly complex terminology found in modern textbooks. We take the content covered in classrooms and books and break each subject down into step-by-step guides that help to convey the various aspects of basic algebra in a simple and easy to follow manner.

We have videos on all topics that you would expect to cover in school and are basic algebra videos will do a great job in helping you learn the subject matter. Whether it's for homework or basic algebra exam prep, StudyPug is your one stop shop for all your basic algebra tutoring needs.

To get you started on the path to learning basic algebra, we're offering a collection of free lessons across the following subject areas:

∙\bullet Algebraic Expressions
∙\bullet Linear Relations, Systems, Equations, Inequalities, and Functions
∙\bullet Fractions
∙\bullet Ratios, Rates, Proportions, and Percent
∙\bullet Exponents
∙\bullet And much more!

Browse them all and check out our customer reviews to see how our platform has helped students just like you tackle their mathematical problems.

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Basic Algebra, The Seton Keough High, Halethorpe, MD

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Basic Algebra, Cleveland High, Seattle, WA

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Basic Algebra, Markham District High, Markham, ON

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