Math equations

Equations are mathematical statements that have two algebraic expressions on each side of the equal sign (=). It depicts the equality link between the expressions written on the left and the expressions written on the right. L.H.S = R.H.S (left hand side = right hand side) appears in every math equation. To obtain the value of an unknown variable representing an unknown quantity, equations can be solved. It is not an equation if there is no ‘equal to’ symbol in the statement. It will be seen as a kind of expression.

“The process of determining the value of a variable is known as equation solving.”

Equation elements

Coefficients, variables, operators, constants, terms expressions, and an equal to sign are all elements of an equation.

• We must include a “=” symbol as well as terms on both sides when writing an equation.

• Multiple terms on either side, variables & operators are not required in an equation.

Equation types

Equations can be categorized into three categories based on their degree:

1. Linear

2. Quadratic

3. Cubes

Linear equations: Linear equations are mathematical equations with 1 as the degree. The greatest exponent of terms in such equations is 1. These can be further divided into one-variable linear equations, two-variable linear equations, three-variable linear equations, and so on.

Quadratic Equation: Quadratic equations are those with a degree of two. A quadratic equation with variable x has the conventional form ax2 + bx + c = 0

Cubic equations: Cubic equations are those with a degree of three. At least one of the terms has a 3 as the highest exponent.

Steps to Solve Equations

Some steps to solve equations are described below:

• Apply arithmetic operations on both sides of the equation to bring all the terms with variables on one side and all the constants on the other.

• By adding/subtracting all like words (terms with the same variable and exponent), you can combine them.

• Simplifying the problem will lead to the solution.

Math equations examples

 Some example of math equation given below:

• 4×2+ 5x + 3 = 0 

• x2 – 5x = 0 

• 5x – 7 = 0 

• 5 + 6x + 1 = 0

• 3x – 40 = 7

• 5y + 6 = 5y – 8

Math equations with answers

Example -1:  Solve this, 2x = 3x – 20

Solution:
2x + 20 = 3x – 20 + 20

2x + 20 = 3x

2x – 2x + 20 = 3x – 2x

20 = x

As a result, x has a value of 20

Example -2 simplify this (x−3) (x−2) = 0

when x=3 then we get 

(3-3)(3-2) = 0 × 1 = 0

and when x= 2

(2-3)(2-2) = (-1) × 0 = 0

Answer: The value of x = 3, or x = 2

Example -3 Solve this 3x-6 = 9

3x = 9+6

Now divided by 3 then we get,                     x = (9+6)/3

x = 5

Answer: The value of x = 5

Conclusion

This article taught us more about math equations. A mathematical statement featuring an ‘equal to’ sign between two expressions with equal values is known as an equation. Different types of equations exist, such as linear, quadratic, cubic, and so on. The mathematical description of two entities that are equal, one on each side of a ‘equals’ sign, is an equation. Equations can assist us in dealing with challenges in our daily lives. We frequently seek pre-algebra assistance in order to solve real-life challenges. Pre-algebra principles are the fundamentals of mathematics.