Free Algebra Content for GMAT

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.

Table Of Contents

I- Simplifying Rules
II- Linear Equations
III- Quadratic Equations
IV Sequences
V- Inequalities
VI- Miscellaneous
All past Official GMAT Algebra Questions

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

Algebra Foundations

Algebra mainly deals with symbols and arithmetic operations across these symbols, those symbols do not have any fixed values and are hence called variables, but where did those come from and how do we use them in equations is all that you’ll find in the below link

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 that we are familiarized with the basics, let’s get into some GMAT-level linear equations content.

Click here

Different types of Linear equations questions asked in GMAT

Below you’ll find a compilation of different types of questions that are asked in GMAT with their solutions

Click here

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:
ax² + 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.

Below is an article that explains more about quadratic equations

There are also videos and quizzes that will help you understand Quadratic equations better.

Dive deeper into quadratic equations

Let’s go deeper into Quadratic Equations

Solving quadratics by taking square roots

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

Simple Equations

GMAT-style questions

IV Sequences

A sequence is a list of numbers arranged in a specific order. Each individual number in the sequence is called a term.
Intro to sequences

Some series go:

10, 20, 30, …

Intro to arithmetic sequence

Some series go:

10,100,1000..

Intro to geometric sequences

V- Inequalities

Inequalities refer to mathematical statements that express a relationship between two expressions using greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠) symbols.