**Hey GMAT Aspirants!**

One thing that I realized when I was once in your shoes as a student is that there is very minimal free content over the internet for GMAT, and while there are a lot of paid courses and materials that you can find, your heart never knows how to pick the right one.

Well, I might have just solved your first problem, I have compiled a list of free websites and youtube videos that you will need to cover not only for the basics of algebra and its topics but also for GMAT-level preparation.

# I- Simplifying Rules

Just as before driving a car you understand the basics of a clutch, accelerator, and break, similarly, before you start attempting Algebra questions, you need to be familiar with topics such as:

-Properties of Equality

-Distributive Property

-Cross Multiplication

The below link covers the basic rules you apply while solving any question of Algebra, it simplifies all the rules may it be addition, multiplication, with one /two or even three variables, making you quicker while solving any question.**Learn Here**

### When you go through the above links you see one word that comes up a lot i.e. Polynomials, what are they? and how we solve them is what you’ll find below

### Polynomial arithmetic

Explore the connection between polynomials and integers, by adding, subtracting, and multiplying polynomials.

### Polynomial factorization

Get equipped with a variety of key strategies for breaking down higher-degree polynomials. From taking out common factors to using special products.

### Polynomial division

After addition, subtraction, and multiplication of polynomials, it’s time to divide them! This will prove to be a little bit more sophisticated.

# **II- Linear Equations**

Hey!

Let’s come have a look at the below equations,

## x + y = 21

x – 26 = 567

*What do they have in common?*Both equations are examples of linear equations

Let’s understand what that is through the video below

The above video gave you an introduction to what linear equations are, now let’s dive into a deeper knowledge of the topic

Now let’s move past one power and get introduced to the two power equations.

# III- Quadratic Equations

Quadratic equations are second-degree polynomial equations, which means the highest power of the variable (usually represented by “x”) in the equation is 2.

The general form of a quadratic equation is:**ax ^{2} + bx + c = 0**where “a,” “b,” and “c” are constants, and “x” is the variable. The constant “a” cannot be equal to 0 because that would turn the equation into a linear equation.

## Let’s go deeper into Quadratic Equations

You will here learn how to solve **quadratic equations**, which include terms where the variable is raised to the second power.

Click here

### Solving quadratics by factoring

You will learn how to use factorization methods in order to bring other equations to a factored form and solve them.

Click here

### Quadratic: Multiplying & Factoring

You’ll learn how to multiply algebraic equations by numbers and by each other, you’ll also understand the factorization of algebraic equations.

Click here

Here are some ‘quadratic equations’ questions for you to practice

# IV **Sequence**s

# V- **Inequalities**

Inequalities refer to mathematical statements that express a relationship between two expressions using greater than (>), less than (<), greater than or equal to (â‰¥), less than or equal to (â‰¤), or not equal to (â‰ ) symbols.

*Solving Inequalities*

Get started with inequalities through interactive videos and quizzes – Click here

Learn more about Inequalities with variables on both sides, and how to solve Inequalities in multiple steps.

**All past official GMAT Inequalities questions**

Problem Solving | Data Sufficiency |

Easy level | Easy level |

Medium level | Medium level |

No hard questions | Hard level |

âœ© Absolute Values

**Intro to Absolute Values**

Khan Academy videos

Article

# VI- Miscellaneous

âœ© Functions

A function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the codomain).

learn more about functions.

**âœ© Exponents and roots**

**Ignore the Irrational Numbers section in this module**

# All past Official GMAT Algebra Questions

**Problem- Solving**

**Data Sufficiency**