Introduction to learning 6th Grade Algebra:

For Learning 6th 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 6th grade algebra, we can also use the following properties such as commutative, associative, identities and inverse.

 

Most commonly used terms for learning 6th grade algebra:

 

The following terms are used in the for learning 6th 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 40n2 + 20n the terms 40n2, 20n are combined to form the algebraic expression 40n2 + 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,          51n2 + 31n the coefficient of 51n2 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 =43x2+54x+65

Properties of algebra for learning 6th 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

Order of the operation in algebra for learning 6th grade algebra:

          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.

 

Examples for learning 6th grade algebra:

 

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(a-2)+2b-4(a-b-4)+10

Solution: 4(a-2)+2b-4(a-b-4)+ 10

     = 4a–8+2b–4a–4b–16+10 ( distribute 4 and -4)

     = 4a–4a+2b–4b-8–16+10

     = -2b–14