Tuesday, October 9, 2012

Rules Algebraic Expressions

Introduction :

In mathematics, an expression is a finite combination of symbols that are well formed according to the rules applicable in the context at hand. Symbols can designate values (constants), variables, operations, relations, or can constitute punctuation or other syntactic entities. The use of expressions can range from simple arithmetic operations like

`3+5 xx ((-2)^(7)- (3)/(2))`

Source: Wikipedia

Looking out for more help on Significant Figures Rules in algebra by visiting listed websites.

Rules for Solving Algebraic Expressions:

Step 1: Group the terms containing the identical variable collectively in algebraic expressions.

Step 2: carry out the operation inside the parentheses for the variable and other.

Step 3: revise the algebra 2 simplify expressions and solving algebraic expressions.

Step 4: To make sure the equation, if there is able to simplify the algebraic simplify expressions and then repeat the step 1 to 4.

Example problems for solving algebraic expressions using rules:

Solving algebraic expressions using rules, 12x+5y+10+10z-3y+6x+10z-2

Solution:

Step 1: Is to group like terms. Group the terms containing the same variable together. Group constants together.

(12x+6x)+(5y-3y)+(10z+10z)+(10-2)

Step 2: Is to carry out the operation inside the parentheses for the variable x.

(12x+6x)=18`xx` x= 18x

Step 3: Is to carry out the operation inside the parentheses for the variable y.

(5y-3y)=2y

Step 4: Is to carry out the operation inside the parentheses for the variable z.

(10z+10z)=20z

Step 5: Is to carry out the operation inside the parentheses for the constants.

10-2=8

Step 6: Is to revise the problem.

18x+2y+20z+8

Since the left over terms are not like terms, the problem cannot be any further.

The correct answer is 18x+2y+20z+8

My forthcoming post is on how to solve an algebraic expression, free algebra 2 solver will give you more understanding about Algebra.

Rules for Solving Algebraic Expressions in Order of Operation:

In long math problems with +,-,x,%,(), and exponents in them, you have to identify what to do first. Without follow the same rules, you may get unlike answers. You can easily keep in mind the silly sentence, Big Elephants Destroy Mice And Snails, you can commit to memory the order of operations, and you must follow.

Big                   “B” means Brackets. We need to carry out operation in side parentheses first. 

Elephants          “E” means an exponent, you must calculate exponents next.

Destroy            “D” means division. Begin on the left of the equation and perform all multiplication and divisions in the order in which they appear.

Mice                “M” means multiply

And                 “A” means addition.

Snails              “S” means subtract. For all time on the left hand side and carry out additions and subtractions operation.

Example for solving algebraic expressions using order of operations rules:

To solving 16`-:`4(2-5)+5-2 using order of operations rules in algebra.

Solution:

=16`-:`4(2-5)+5-2

=16`-:`4(-3)+5-2   where 16`-:`4 are `16/4`

=`16/4` `xx`(-3)+5-2

=4`xx`-3+5-2

=-12+5-2

=-7-2

=-9

Answer is -9

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