Adding Algebraic Expressions

Introduction to Adding algebraic expression:

Adding algebraic expression mean nothing but  combine the like terms  should not change the dislike terms. Expressions are a central concept in algebra .We can group the variables and constants to make algebraic expressions. A simple algebraic expressions like x + 3, y – 5, 4x + 5,10y – 5.Algeberic expression contains variables and constants. A variable can take various values. The value is not fixed. On the other hand, a constant has a fixed value. Examples of constants are: 4, 100, and 17


Example for Adding algebraic expression and concepts:


Example for algebraic expression:

Algebraic Expressions are obtained:

x^ 2, 2y^2,

1. Given algebraic expression x^ 2 is obtained by multiplying the variable x by itself;

x × x = x^ 2

Just as 4 × 4 is written as 42, we write x × x = x^ 2. It is commonly read as x squared

2. The expression 2y^2 is obtained from y: 2y^2 = 2 × y × y

Here by multiplying y with y we obtain y^2 and then we multiply y^2 by the constant 2

Example for adding algebraic expression:

Example 1: Adding algebraic:

2x^ 2+3x^ 2=5x^ 2 (add the like terms)

4xy+6xy+3y+4=10xy+3y+4 (arrange the terms and then add the like terms)

7xy-5xy+4z+6yz=2xy+4z+6yz

=2xy+2z(1+3y)(Taking common outside)

Basic concept Terms in algebraic expression

Terms of algebraic expression:

An algebraic function contains  two terms those are the like terms and dislike terms For example, in the expression 8xy – 5x + 6xy – 4,look at the terms 8xy and 6xy. The factors of 8xy are 8, x and y. The factors of 6xy are 6,x and y.
On the other hand the terms 8xy and –5x, have different algebraic factors.They are unlike terms. Similarly, the terms, 8xy and 4, are unlike terms. Also, the terms –5x and 4 are unlike terms. Understanding Variables and Expressions is always challenging for me but thanks to all math help websites to help me out.

Example problems in adding algebraic expression:


Steps in adding algebraic expression:

Procedure for adding algebraic function:

1.       Add 4x+4 +7y+5x+6

STEP 1: First we can add the co-efficient of x values (4x+5x) (like terms)=>9x

STEP 2: Second step we can add the  co-efficient of y values (7y)=>7y   (4x+7y is the unlike terms)

Step 3: Third step we can add the constant values (4+6)=10

STEP 4:  Adding the whole expression 9x+7y+10

Example problems in adding algebraic expression:

Example 1:

Adding the expression:   5xy+7xy+7z+6y-2xy+4yz

Solution:

5xy+7xy+7z+6y-2xy+4yz (given terms)

=5xy+7xy-2xy+6y+4yz+7z (arranging the like and dislike terms)

=12xy-2xy+6y+4yz+7z (Adding the like terms)

=10xy+6y+4yz+7z (perform the operation)

=10xy+2y(1+2z)+7z(Taking common terms)