Algebra Formula For Kids: All Algebra Formula & Chart

Mathematics is one of those chosen subjects requiring proper attention and practice to understand and apply a concept in real life. Unlike other subjects, the knowledge of mathematics should be conveyed with a logical approach. Once students learn the basic principles with the help of the correct formulas and examples, they will be able to crack the questions effectively.

Among other branches of mathematics, Algebra is that one part of the subject that seems difficult to understand. But once kids grasp basic formulas, they can quickly solve mathematical problems and everyday calculations. Since algebra is an extensive part of the subject, it is essential to understand the elementary formulas for solving math problems and moving to more challenging sections of algebra. 

This post will explain algebra and its basic formulas with representation to help kids apply these concepts while solving mathematical questions.

Algebra – Definition and Basic Concepts

Algebra is a branch of mathematics used to derive an unknown variable’s value by applying the right formula. The following terms are used to explain a formula in Algebra.

• Exponent
• Expression
• Polynomial 
  • Monomial
  • Binomial 
  • Trinomial
• Constants
• Like terms and unlike terms

The ‘=’ sign is used to separate two same identities in an equation, whereas the expression can be defined as the group of terms with ‘+’ and ‘-‘ signs. Like times are those with the same variable, and unlike terms can be defined as terms with different variables.

Common Algebra Operations and BODMAS

Addition (x + y), subtraction (x – y), multiplication (x X y), and division (x ÷ y) are the basic arithmetic operations used to solve an equation using algebra in which x and y are the two variables. As per the concept of BODMAS, brackets are solved first, whereas division and multiplication take place after the brackets and before addition & subtraction. The following section contains a brief overview of all these operations:

1. Addition

The addition in algebraic expressions takes place when there are two like terms in a given equation. The total of the coefficients of the like terms will be the sum of those variables. 

For example x + 2x + 3y can also be written as 3x + 3y.

In the above equation, x and 2x have the same variable; therefore, these two can be added. Since 3y is the unlike term in this equation, it will remain the same.

2. Subtraction 

The method of addition and subscription is the same in algebra. You can subtract like terms, and unlike terms will not change. 

For example 4x – 3x = x and 7x – 3x = 4x

On the other hand, 3x – 2y will remain the same due to unlike terms.

3. Multiplication

While there are significant similarities in algebraic addition and subtraction, the same can’t be applied to multiplication and division. However, multiplication can be accomplished even if the terms have different variables. Both variables are just put together in the result.

For example 2 X x = 2x, 3x X 6 = 18x

3x X 4y = 12xy

4. Division

As discussed earlier, the concept is just as simple as multiplication. Both like terms & unlike terms can be divided irrespective of the type of variables.

For example x ÷ y = x/y

2x ÷ 6y = 2x/6y or x/3y

Algebra Formula Chart

The following chart contains a series of formulas to solve equations quickly:

(a+b)2 = a² + 2ab + b²

(a – b)2 = a² + b² – 2ab

a2 – b2 = (a – b)(a + b)

(a + b + c)2 = a² + b² + c² + 2ab + 2ac + 2bc

(a – b – c)2 = a² + b2 + c² – 2ab – 2ac + 2bc

(a + b)3 = a³ + 3a²b + 3ab² + b³

(a – b)3 = a³ – 3a²b + 3ab² – b³

a^m X bⁿ = ab^{m + n}

(ab)^x = a^x b^x

(a^x)^y = a^xy

a^x/a^y = a^x-y

Conclusion

These algebra formulas for kids and an elaborate chart can help them become proficient in mathematical concepts and apply them in academic and daily life. Also read, Math for Kids: What is Successor?