Algebra Calculator

Algebra Calculator is a free online calculator that provides the solution for the given algebraic equation. Kiodigital online algebra calculator tool makes the calculation quickly and displays the result of the given algebraic expression instantly.

Steps to Use the Algebra Calculator

The method of using the algebra calculator is:

Process 1: Enter the algebraic expression in the input field.

Process 2: Now click “Solve” 

Process 3: The result will be displayed in the new tab.

Algebra

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols, or, in other words, it is the branch of maths dealing with the number theory, geometry, and its analysis. In elementary algebra, the symbols denote quantities without fixed values, variables. 

Algebra helps in solving mathematical equations and in deriving unknown quantities. The letter variables in the algebra can represent the unknown quantities, making it easier in finding the data for a set of equations.The algebraic formulas are used in our day-to-day life at different instances, such as to find the distance, the volume of containers, and to figure out the sales prices as and when needed. 

Solved Examples on Algebra

Question 1:

Using the algebraic identities, expand the expression (2a + 3b)2.

Solution:

In this part, we are going to employ an identity from algebra, which is (a + b)2 = a2 + 2ab + b2

Hence, (2a +3b)2 = (2a)2 + (3b)2 + 2(2a)(3b)

(2a +3b)2 = 4a2 + 9b2 + 12ab

Since this is the case, the solution is given as (2a +3b)2 = 4a2 + 9b2 + 12ab.

Question 2:

A person’s current age is two times that of his son. His age was four times that of his kid ten years ago. Calculate the son’s current age using the algebraic approach.

Solution:

Let’s use “ax” years as the son’s current age. Given that the person’s age is two times that of his son, their age is expressed as “2a” years. When the incident occurred ten years ago, the son was (a – 10) years old and the person was (2a – 10) years old. According to the query, the person’s age was four times that of his kid ten years ago. Consequently, this may be stated as,

2a – 10 = 4 (a – 10)

2a – 10 = 4a – 40

2a – 4a = -40 + 10

-2a = -30

2a = 30

a = 30/2

a = 15

As a result, the son is now 15 years old.

Frequently Asked Questions on Algebra Calculator