HOW TO SIMPLIFY ALGEBRAIC EXPRESSION

HOW TO SIMPLIFY ALGEBRAIC EXPRESSION

simplify an algebraic expression

Given the Example:
Simplify algebraic expression of  3x + 6y  + 8x - 2x - 4y +7y

Answer:
To simplify algebraic expression above, arrange like terms next to one another

= 3x + 8x -2x + 6y - 4y +7y

Combine like terms

= 9x + 9y



You can try algebraic expression ANIMATION below

Word Problems ( only fiction stories)

1) In June 2012, one of New York mesothelioma attorney bought 2 chairs and 3 tables for his office. In September 2012, he bought 1 chairs and 4 tables.In  December 2012 he bought 4 chairs and 2 tables. How many chairs and tables does he bought after June 2012 ??

Answer:
2 chairs + 3 tables + 1 chairs + 4 tables + 4 chairs + 2 tables

To simplify algebraic expression above, arrange like terms next one to another

=2 chairs + 1 chairs+ 4 chairs+ 3 tables + 4 tables + 2 tables
= 7 chairs + 9 tables
So, New York mesothelioma attorney office has already bought 7 chairs and 9 tables since June 2012.


2) A tourism hotel has 14 floors, for each floor has 10 rooms, 10 televisions, 20 beds. How many rooms, television and bed does hotel has altogether?


Answer:

14 (10 rooms + 10 televisions + 20 beds)

To simplify algebraic expression above, expand terms in bracket.

= 140 rooms + 140 televisions + 280 beds

3) An online store can sell 20 pants and 12 shirts and 22 underwares per month in average. How many pants, shirts and underwares can they sell in two years?
Answer:

Two years = 24 months

24( 20 pants + 12 shirts  + 22 underwares)

To simplify algebraic expression above, expand terms in bracket.

= 480 pants + 288 shirts + 528 underwares

Other Examples

Example 1:


Simplify algebraic expression   
Answer:

To simplify algebraic expression above , arrange like terms next to one another

=  
Combine like terms

=

Example 2:

Simplify algebraic expression of  5a + 7b  + 3c - 4a - 5b + 7c - 8b + 2a - c

Answer:

To simplify algebraic expression above , arrange like terms next to one another

= 5a - 4a + 2a + 7b - 5b - 8b + 3c + 7c - c

Combine like terms

= 3a - 6b + 9c

Example 3:

Simplify algebraic expression 5 ( a + b ) - 3 ( a + b )

Answer:

To simplify this algebraic expression, expand for each brackets

= 5a + 5b - 3a -3b

arrange like terms next one to another,

= 5a - 3a + 5b -3b

Combine like terms

= 2a + 2b



Example 4:

Simplify algebraic expression 5 ( a + b - c ) - 3 ( a - b + c  )

Answer:

To simplify this algebraic expression, expand for each brackets

= 5a + 5b - 5c -3a + 3b - 3c

arrange like terms next one to another,

= 5a - 3a  + 5b + 3b - 5c -3c

Combine like terms

= 2a + 8b - 8c


Example 5:
Simplify algebraic expression 

Answer:

To simplify this algebraic expression, divided b by b, to become 1, so

=  a.1
=  a


Example 6:
Simplify algebraic expression

Answer:

To simplify this algebraic expression, divided a by a, to become 1, so

=
=

Example 7:
Simplify algebraic expression  

Answer:

Algebraic expression above could be rewritten as

To simplify this , divided a by a, to become 1, so


=



Example 8:
Simplify algebraic expression  

Answer:

Algebraic expression above could be rewritten as

To simplify this , divided x by x, to become 1, so

=

=



Example 9:
Simplify algebraic expression

Answer:

Algebraic expression above could be factorized

To simplify this , divided a by a, to become 1, so

=

9 Komentar di Postingan "HOW TO SIMPLIFY ALGEBRAIC EXPRESSION"

  1. Looking forward to share your blog too!

    ReplyDelete
  2. how to simplify algebraic expression 5x^2 + 3x - 3x^2 - 7y ?

    ReplyDelete
    Replies
    1. To simplify that algebraic expression, arrange like terms next to one another

      5x^2 - 3x^2 + 3x - 7y

      = 2x^2 + 3x -7y

      just that. :)

      Delete
  3. I feel difficult to simplify algebraic expression ax + 3x - 3bx - 9y ?

    ReplyDelete
    Replies
    1. To simplify that algebraic expression above, factorise common factor in like term, you can see my post factoring algebraic expression

      ax + 3x - 3bx has common factor/divisor e.g x

      so, ax + 3x - 3bx - 9y

      = x (a+3-3b) - 9y

      Delete
  4. I ran across this cool Math Web Series trailer yesterday. Thought I'd share :) Looks pretty funny!!!!

    http://goo.gl/f1KmW

    ReplyDelete
  5. Postingan mu sangat informative dan menarik gan.. Sangat bermanfaat buat banyak orang. Thanks for sharing and keep blogging!

    ReplyDelete

Iklan Atas Artikel

Iklan Tengah Artikel 1

Iklan Tengah Artikel 2

Iklan Bawah Artikel