Algebra Formulas- Detailed Definition & Formulas

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4 min readJul 6, 2021

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basic algebra

Introduction to Algebra

In this algebra formulas article, we will provide you with a detailed list of Algebraic Expressions in Maths, their definition, and examples. This article will be helpful for all the students who want to get better in Mathematics. You can refer to these algebra formulas provided here while solving the questions.

Algebra is a branch of mathematics that substitutes letters for numbers. An algebraic equation depicts a scale, what is done on one side of the scale with a number is also done to either side of the scale. The numbers are constants. Algebra also includes real numbers, complex numbers, matrices, vectors and much more. X, Y, A, B are the most commonly used letters that represent algebraic problems and equations.

Mathematics is a vast field. It is impossible for one person to know everything there is to know in mathematics, even after a lifetime of study. And while it can be cumbersome, mathematics is also one of the most important fields of study. Right from how much to tip the waiter to when the universe began, all answers can be found due to the application of maths.

As we approach the higher classes, we see our introduction to algebra. In algebra, we substitute numbers with letters or alphabets to arrive at a solution. We use these letters like (x, a, b etc.) to represent unknown quantities in an equation. Then we solve the equation or algebra formula to arrive at a definite answer.

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Algebra itself is divided into two major fields. The more basic functions that we learn in school are known as elementary algebra. Then the more advanced algebra formula, which is more abstract in nature fall under modern algebra, sometimes even known as abstract algebra.

Download Handwritten written Algebra Formulas

Math Symbols

If you would like to create your own math expressions, here are some symbols that the calculator understands:

+ (Addition)
- (Subtraction)
* (Multiplication)
/ (Division)
^ (Exponent: “raised to the power”)
sqrt (Square Root) (Example: sqrt(9))

What is an Equation?

An equation says that two things are equal. It will have an equals sign “=” like this:

x+2=6

That equations says: what is on the left (x + 2) is equal to what is on the right (6)

So an equation is like a statement “this equals that”

(Note: this equation has the solution x=4)

Algebra includes both numbers and letters. Numbers are fixed, i.e. their value is known. Letters or alphabets are used to represent the unknown quantities in the algebra formula. Now, a combination of numbers, letters, factorials, matrices etc. is used to form an equation or formula. This is essentially the methodology for algebra.

What is a Formula?

A formula is a fact or rule that uses mathematical symbols.

It will usually have:

an equals sign (=)

two or more variables (x, y, etc) that stand in for values we don’t know yet

It shows us how things are related to each other.

As students study for their exams, there are certain very important algebra formulas and equations that they must learn. These formulas are the cornerstone of basic or elementary algebra. Only learning the formulas is not sufficient. The students must also understand the concept behind the formula and learn to apply them correctly.

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