logo

How It Works

Master Basic Algebra

Step-by-step solutions for exam success and college prep

Try Our Basic Algebra Practice Test

Basic Algebra Help Logo
📈
Final exam scores improve 10-15%
✨
College preparation
💡
Advanced concept mastery
📚
Graduate with confidence
Start Now
Step-by-Step Solutions

Clear video explanations for every algebra concept

Perfect Curriculum Match

Aligned with Common Core and state standards requirements

Guaranteed Results

Most students improve one letter grade in 4-6 weeks

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

Basic Algebra Topics

​
​
video
Foundations
Determine square roots of rational numbers
Square and square roots
video
Ratios, Rates, Proportions and Percent
Ratios
Rates
Proportions
Representing percents
Percents, fractions, and decimals
Percent of a number
Adding and multiplying percents
Taxes, discounts, tips and more
Simple interest
video
Fractions
Multiplying fractions and whole numbers
Dividing fractions with whole numbers
Multiplying proper fractions
Multiplying improper fractions and mixed numbers
Dividing fractions and mixed numbers
Applications of fraction operations
video
Algebraic Expressions
Characteristics of polynomials
Equivalent expressions of polynomials
Adding and subtracting polynomials
Multiplying and dividing monomials
Multiplying polynomials by monomials
Dividing polynomials by monomials
video
Linear Relations
Understanding graphs of linear relationships
Understanding tables of values of linear relationships
Applications of linear relationships
Representing patterns in linear relations
Reading linear relation graphs
Solving linear equations by graphing
video
Linear equations
Model and solve one-step linear equations: ax = b, x/a = b
Solving linear equations using addition and subtraction: ax + b = c
Solving linear equations using multiplication and division: x/a + b = c
Solving linear equations using distributive property: a(x + b) = c
Solving linear equations using multiplication and division
Solving two-step linear equations: ax + b = c, x/a + b = c
Solving linear equations using distributive property: a(x + b) = c
Solving linear equations with variables on both sides
Solving literal equations
video
Linear inequalities
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
Compound inequalities
video
Linear Functions
Relationship between two variables
Understand relations between x- and y-intercepts
Domain and range of a function
Identifying functions
Function notation
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)M=(2x1​+x2​​,2y1​+y2​​)
Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
Slope intercept form: y = mx + b
General form: Ax + By + C = 0
Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)y−y1​=m(x−x1​)
Rate of change
Graphing linear functions using table of values
Graphing linear functions using x- and y-intercepts
Graphing from slope-intercept form y=mx+b
Graphing linear functions using a single point and slope
Word problems of graphing linear functions
Parallel and perpendicular lines in linear functions
Applications of linear relations
video
Solving Linear Systems
Determining number of solutions to linear equations
Solving systems of linear equations by graphing
Using elimination method to solve systems of equations
Using substitution method to solve systems of equations
Money related questions in linear equations
Unknown number related questions in linear equations
Distance and time related questions in linear equations
Rectangular shape related questions in linear equations
video
Introduction to exponents
Using exponents to describe numbers
Exponent rules
Order of operations with exponents
Using exponents to solve problems
video
Exponents
Product rule of exponents
Quotient rule of exponents
Power of a product rule
Power of a quotient rule
Power of a power rule
Negative exponent rule
Combining the exponent rules
Scientific notation
Rational exponents
Solving for exponents
video
Operations of Polynomials
What is a polynomial?
Polynomial components
Multiplying monomial by monomial
Multiplying monomial by binomial
Multiplying binomial by binomial
Multiplying polynomial by polynomial
Applications of polynomials
video
Factoring polynomial Expressions
Common factors of polynomials
Factoring polynomials by grouping
Solving polynomials with the unknown "b" from x^2 + bx + c
Solving polynomials with the unknown "c" from x^2 + bx + c
Factoring polynomials: x^2 + bx + c
Applications of polynomials: x^2 + bx + c
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + cax2+bx+c
Factoring polynomials: ax2+bx+cax^2 + bx + cax2+bx+c
Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
Find the difference of squares: (a - b)(a + b) = a2−b2a^2 - b^2a2−b2
Evaluating polynomials
Using algebra tiles to factor polynomials
Solving polynomial equations
Word problems of polynomials
video
Scale Factors and Similarity
Enlargements and reductions with scale factors
Scale diagrams
Similar triangles
Similar polygons
video
Pythagorean Theorem
Squares and square roots
Pythagorean theorem
Estimating square roots
Using the pythagorean relationship
Applications of pythagorean theorem

Our approach aligns with the evidence

+13-25%

Exam Scores

2x

Better Recall

25%

Less Anxiety
Start Practice

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:

  1. Parentheses
  2. Exponents
  3. Multiply
  4. Divide
  5. Add
  6. Subtract

Additionally, if you're struggling with basic algebra homework or revision, you should consider visiting our basic algebra course for a wide collection of easy practice materials, step-by-step examples, and a math tutor online 24/7.

With most things in life, practice makes perfect and StudyPug has 1000's of lessons across a wide range of math help 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 online 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 understanding 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 our 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:

  • Algebraic Expressions
  • Linear Relations, Systems, Equations, Inequalities, and Functions
  • Fractions
  • Ratios, Rates, Proportions, and Percent
  • Exponents
  • 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.

Explore

Geometry

Trigonometry

Algebra

Basic Math

Statistics

Calculus

Differential Equations

Linear Algebra

Chemistry

Organic Chemistry

Physics

Microeconomics

Learning

For Students

For Parents

For Home Schoolers

For Teachers

About

About Us

How it works

Pricing

FAQ

Testimonials

Contact Us

Blog

Curriculum

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

youtube
facebook
instagram
x.com

© 2015 – 2025 StudyPug

Sitemap

Terms of Service

Privacy Policy