# HOW TO SIMPLIFY ALGEBRAIC EXPRESSION

*HOW TO SIMPLIFY ALGEBRAIC EXPRESSION***Given the Example:**

__of 3x + 6y + 8x - 2x - 4y +7y__

*Simplify algebraic expression*Answer:

__next to one another__

*To simplify algebraic expression above, arrange like terms*= 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

**, arrange like terms next one to another**

*To simplify algebraic expression above*=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)

**, expand terms in bracket.**

*To simplify algebraic expression above*= 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)

**, expand terms in bracket.**

*To simplify algebraic expression above*= 480 pants + 288 shirts + 528 underwares

__Other Examples__

**Example 1:**

*Simplify algebraic expression*Answer:

To

__, arrange like terms next to one another__

*simplify algebraic expression above*=

Combine like terms

=

**Example 2:**

__of 5a + 7b + 3c - 4a - 5b + 7c - 8b + 2a - c__

*Simplify algebraic expression*Answer:

To

__, arrange like terms next to one another__

*simplify algebraic expression above*= 5a - 4a + 2a + 7b - 5b - 8b + 3c + 7c - c

Combine like terms

= 3a - 6b + 9c

**Example 3:**

**5 ( a + b ) - 3 ( a + b )**

*Simplify algebraic expression*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:**

**5 ( a + b - c ) - 3 ( a - b + c )**

*Simplify algebraic expression*Answer:

**, expand for each brackets**

*To simplify this algebraic expression*= 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:

**, divided b by b, to become 1, so**

*To simplify this algebraic expression*= a.1

= a

**Example 6:**

*Simplify algebraic expression*Answer:

**, divided a by a, to become 1, so**

*To simplify this algebraic expression*=

=

**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

=

Looking forward to share your blog too!

ReplyDeletethanks :)

Deletehow to simplify algebraic expression 5x^2 + 3x - 3x^2 - 7y ?

ReplyDeleteTo simplify that algebraic expression, arrange like terms next to one another

Delete5x^2 - 3x^2+ 3x - 7y=

2x^2+ 3x -7yjust that. :)

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

ReplyDelete

DeleteTo simplify that algebraic expressionabove, factorise common factor in like term, you can see my post factoring algebraic expressionax + 3x - 3bx has common factor/divisor e.g x

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

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

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

ReplyDeletehttp://goo.gl/f1KmW

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

ReplyDeletethanks

Delete