For Learning 6^{th} grade algebra, we will execute the four basic operations such as addition, subtraction, multiplication and division. Algebra uses variables, constant, coefficients, exponents, terms and expressions. The fundamental concept of the algebra is balancing the algebraic equations on both sides. In learning 6^{th} grade algebra, we can also use the following properties such as commutative, associative, identities and inverse.
The following terms are used in the for learning 6^{th} grade algebra
Variables
Algebraic variables are the alphabetical characters which are used for assigning the value. While solving the algebraic equation value of the variable will be changed. Widely used variables are x, y, z
Constant
Algebraic constants are the value whose value never changes while solving the algebraic equation. In 5y+7, the value 7 is the constant.
Expressions
An algebraic Expression is the combination of variables, constant, coefficients, exponents, terms which are combined together by the following arithmetic operations, Addition, subtraction, multiplication and division. An example is given below
9x+25y+30
Term
Terms of the algebraic expression is concatenated to form the algebraic expression by the arithmetic operations such as addition, subtraction, multiplication and division. In the following example 40n^{2} + 20n the terms 40n^{2}, 20n are combined to form the algebraic expression 40n^{2} + 20n by the addition operation ( + )
Coefficient
the coefficient of an algebraic expression is the value which is present just before the terms. From the following example, 51n^{2} + 31n the coefficient of 51n^{2} is 51 and 31n is 31
Equations
An algebraic equation equals the numbers or expressions. Most probably algebraic equation is used for finding the value of the variable.
example :y =43x^{2}+54x+65
Properties of algebra for learning 6^{th} grade algebra:
Property 
Addition 
Multiplication 
Commutative 
a+b=b+a 
A*b=b*a 
Associative 
(a+b)+c=a+(b+c) 
(a*b)*c=a*(b*c) 
Distributive 
a(b+c)=ab+ac 

Identity 
a+0=a 
a*1=a 
1. Reduce what ever in the parentheses,
2. Next, reduce the exponents.
3. Next, reduce the Multiplication or division.
4. Finally, reduce the Addition or Subtraction.
Ex:1Solve the equation 4x + 6 = 10
Sol: 4x + 6 = 10
4x + 6  6 = 10  6(Add 6 on both sides, so we get)
4x = 16
`(4x)/(4)` =`(16)/(4)` (Divided both sides by 4, so we get)
1x = 4 are equal to x =  4
Exe 2:4(a2)+2b4(ab4)+10
Solution: 4(a2)+2b4(ab4)+ 10
= 4a–8+2b–4a–4b–16+10 ( distribute 4 and 4)
= 4a–4a+2b–4b8–16+10
= 2b–14