About Us

Why Choose StudyPug

How it works

Pricing

Testimonials

Contact Us

Blog

Basic Math

Algebra

Geometry

Trigonometry

Calculus

Linear Algebra

Differential Equations

Statistics

Chemistry

Organic Chemistry

Physics

Microeconomics

For Students

For Parents

For Home Schoolers

For Teachers

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

Sitemap

Terms of Service

Privacy Policy

Master Squares and Square Roots: Essential Math Skills

Basic Algebra: Master Essential Math Concepts

Foundations

auto-gen

Determine square roots of rational numbers

Square roots of rational numbers

Square and square roots

Square Root of a Perfect Square

Ratios, Rates, Proportions and Percent

Taxes, discounts, tips and more

Discounts — Word Problem

Taxes — Word Problem

Percentage - Applying a Discount Price– Word Problem

Percentage - Applying a Discount Percent – Word Problem

Percentage - Applying a Tax Total – Word Problem

Percentage - Applying a tax Percent – Word Problem

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

Find the Quickest Rate 

Unit Rate

Proportions

Proportions — Missing Denominator

Proportions — Missing Numerator

Proportions - Find the Missing Denominator LHS

Proportions - Find the Missing Denominator RHS

Proportions - Find the Missing Numerator LHS

Proportions - Find the Missing Numerator RHS

Representing percents

Representing Percents

Representing Percents — Word Problem

Representing Percents Two Graphs – Word Problem

Percents, fractions, and decimals

Conversion — Decimal to Fraction

Conversion — Decimal to Percent

Conversion — Fraction to Decimal

Conversion — Fraction to Percent

Conversion — Percent to Decimal

Conversion — Percent to Fraction

Percents – Word Problem

Convert a Decimal to a Fraction

Convert a Decimal to a Percent

Convert a Fraction to a Decimal

Convert a Fraction to a Percent

Convert a Percent  to a Decimal

Convert a Percent to a Fraction

Percents Fractions And Decimals – Word Problem

Percent of a number

Percent of a Number

percent of a number – Word Problem

Percent of a Number  Fraction Percent

Percent of a Number Integer Percent 

Percent of a number number With Decimal Percent 

Percent of a Number  Three Digits Number Percent

Adding and multiplying percents

Add and Multiply Percents — Word Problem

Add and Multiply Percents – Word Problem

Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed numbers

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Applications of fraction operations

Fraction Operations

Algebraic Expressions

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplying and dividing monomials

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Linear Relations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Linear equations

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

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 using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Model and solve one-step linear equations: ax = b, x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving linear equations using multiplication and division: x/a + b = c

Solve Linear Equations Using Distributive Property – Word Problem

Solving literal equations

Linear inequalities

Compound inequalities

Analyze the Alternate Form of Compound Inequalities: AND

Compound linear inequalities

Evaluate Compound Inequalities: And

Express linear inequalities graphically and algebraically

Graph the Inequality

Linear Inequalities – Word Problem 

Solving one-step linear inequalities

One-step Linear Inequalities

One-step linear inequalities

One-step Linear Inequalities Decimal

One-step Linear Inequalities Decimal with Fraction

One-step Linear Inequalities Fraction

Solve One Step Linear Inequalities Find Solution– Word Problem

One-step Linear Inequalities — Word Problem

Solving multi-step linear inequalities

Multi-step Linear Inequalities

Two-step Linear Inequalities

Multi-step linear inequalities

Two-step linear inequalities

Solve Multi-step Linear Inequalities – Word Problem 

Solve Multi Step Linear Inequalities Solve Equation – Word Problem

Solve Multi Step Linear Inequalities Equation – Word Problem

Linear Functions

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

Succeed in math class with our complete Basic Algebra help. We cover all topics you will see in any typical Basic Algebra class, Florida <a href="http://www.fldoe.org/accountability/assessments/k-12-student-assessment/fsa.stml">FSA</a> and Massachusetts <a href="http://www.doe.mass.edu/mcas/home.html">MCAS</a>!

With our walkthrough video lessons, you will gain a solid understanding on all topics in basic algebra like <a href="https://www.studypug.com/basic-algebra/model-and-solve-one-step-linear-equations">Linear equations</a>, <a href="https://www.studypug.com/basic-algebra/multiply-a-fraction-and-a-whole-number">Fractions</a>, <a href="https://www.studypug.com/basic-algebra/pythagorean-theorem">Pythagorean Theorem</a>, different types of <a href="https://www.studypug.com/basic-algebra/what-is-a-polynomial">Polynomials</a>, <a href="https://www.studypug.com/basic-algebra/use-exponents-to-describe-numbers">Exponents</a>, 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. 

All our lessons are taught by experienced <a href="https://www.studypug.com/basic-algebra-tutor">basic algebra tutors</a>. Let's finish your homework in no time, and ACE that final.

Basic Algebra

math

<h2>What is <a href="https://www.studypug.com/us/basic-algebra">Basic Algebra</a>?</h2>
Basic algebra is the course of study that follows <a href="https://www.studypug.com/pre-algebra">pre-algebra</a>, building upon your understanding of core concepts and exploring more advanced forms of algebra. This course will adequately prepare you to study <a href="https://www.studypug.com/intermediate-algebra">intermediate algebra</a> or <a href="https://www.studypug.com/algebra-2">algebra 2</a> later down the line.
Within basic algebra itself, you can expect to explore things like fractions, linear equations, <a href="https://www.studypug.com/basic-algebra/determine-number-of-solutions-to-linear-equations">linear systems</a>, <a href="https://www.studypug.com/basic-algebra/exponent-rules">exponent rules</a>, and the <a href="https://www.studypug.com/basic-algebra/pythagorean-theorem">Pythagorean Theorem</a>. You will also learn how to determine the <a href="https://www.studypug.com/basic-algebra/determine-square-roots-of-rational-numbers">square roots of rational numbers</a>, multiply fractions and whole numbers, dividing fractions and mixed numbers, <a href="https://www.studypug.com/basic-algebra/read-linear-relation-graphs">reading linear relation graphs</a>, and much more.
<a href="https://www.studypug.com/maths-help/">StudyPug</a> 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 <a href="https://www.studypug.com/basic-algebra">basic algebra problems</a> 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 <a href="https://www.studypug.com/blog/3-ways-math-makes-games-more-fun/">basic algebra can make video games more fun!?</a>

<h2>How to Do Basic Algebra?</h2>
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&apos;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&apos;re having difficulty in remembering these rules of algebra and the sequence in which you should tackle them, use the acronym "<a href="[[canon_topic.html|{"textbook_key":"basic-math-help","chapter_key":"decimals","topic_key":"order-of-operations-pemdas"}]]">PEMDAS</a>" to help you. PEMDAS stands for the following:
<ol type>
<li>Parentheses</li>
<li>Exponents</li>
<li>Multiply</li>
<li>Divide</li>
<li>Add</li>
<li>Subtract</li>
</ol>
Additionally, if you&apos;re struggling with <a href="https://www.studypug.com/basic-algebra">basic algebra homework</a> or revision, you should consider visiting our basic algebra course for a wide collection of easy practice materials, step-by-step examples, and a <a href="https://www.studypug.com/math-tutor/">math tutor online 24/7</a>.
With most things in life, practice makes perfect and StudyPug has 1000&apos;s of lessons across a wide range of <a href="https://www.studypug.com/math-help/">math help</a> 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 <a href="https://www.studypug.com/basic-algebra-tutor">online basic algebra tutor </a> at a fraction of the cost!

<h2>What Grade Is Basic Algebra Taught?</h2>
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 <a href="https://www.studypug.com/math-8">8th grade math</a>. As mentioned above, upon completing basic algebra, students can progress to Algebra 2 or intermediate Algebra.
You don&apos;t need to currently be studying basic algebra to benefit from our fantastic content though. If you&apos;re in a lower grade and want to get ahead of next year&apos;s content, or you&apos;re a mature student looking for revision materials ahead of a re-sit exam, StudyPug&apos;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&apos;re in grade 9 or 10 and you&apos;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.

<h2>Is Basic Algebra Hard?</h2>
As mentioned above, basic algebra can seem intimidating at first, which is why it&apos;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&apos;ve just learned, introducing more complex elements when you&apos;re ready.
If you choose to subscribe to our platform, you&apos;ll have access to our basic algebra content and every lesson available on our site. If you&apos;re looking for a specific element of basic algebra, we&apos;ve got you covered. Furthermore, there&apos;s no need to cover topics you already know in order to access the topics you&apos;re unfamiliar with. You can customize your learning experience by choosing the content that is relevant to you.
Put simply, basic algebra doesn&apos;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.

<h2>How to Learn Basic Algebra?</h2>
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&apos;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&apos;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&apos;s for homework or basic algebra exam prep, StudyPug is your one stop shop for all your <a href="https://www.studypug.com/basic-algebra-tutor">basic algebra tutoring</a> needs.
To get you started on the path to learning basic algebra, we&apos;re offering a collection of free lessons across the following subject areas:
<ul type="disc">
<li><a href="https://www.studypug.com/basic-algebra/what-are-polynomials">Algebraic Expressions</a></li>
<li><a href="https://www.studypug.com/basic-algebra/understand-graphs-of-linear-relations">Linear Relations</a>, <a href="https://www.studypug.com/basic-algebra/solve-linear-equations-by-graphing">Systems</a>, <a href="https://www.studypug.com/basic-algebra/solving-literal-equations">Equations</a>, <a href="https://www.studypug.com/basic-algebra/express-linear-inequalities">Inequalities</a>, and <a href="https://www.studypug.com/basic-algebra/relationship-between-two-variables">Functions</a></li>
<li>Fractions</li>
<li><a href="https://www.studypug.com/basic-algebra/ratios">Ratios</a>, <a href="https://www.studypug.com/basic-algebra/rates">Rates</a>, <a href="https://www.studypug.com/basic-algebra/proportions">Proportions</a>, and <a href="https://www.studypug.com/basic-algebra/percent-of-a-number">Percent</a></li>
<li><a href="https://www.studypug.com/basic-algebra/use-exponents-to-describe-numbers">Exponents</a></li>
<li>And much more!</li>
</ul>
Browse them all and check out our customer reviews to see how our platform has helped students just like you tackle their mathematical problems.

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-basic-algebra.png