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# HOW TO SIMPLIFY ALGEBRAIC EXPRESSION

HOW TO SIMPLIFY ALGEBRAIC EXPRESSION

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

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 ??

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?

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?

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:

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

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 )

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  )

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  $\tiny \dpi{200} \frac{ab}{b}$

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

=  a.1
=  a

Example 6:
Simplify algebraic expression $\tiny \dpi{200} \frac{a(b+1)}{a}$

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

Example 7:
Simplify algebraic expression  $\tiny \dpi{200} \frac{a^{2}(b+1)}{a}$

Algebraic expression above could be rewritten as $\tiny \dpi{200} \frac{a.a(b+1)}{a}$

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

Example 8:
Simplify algebraic expression  $\tiny \dpi{200} \frac{xy+x-3x^{2}}{x}$

Algebraic expression above could be rewritten as $\tiny \dpi{200} \frac{xy+x-3x.x}{x}$

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

Example 9:
Simplify algebraic expression$\tiny \dpi{200} \frac{ab+ac}{a}$

Algebraic expression above could be factorized $\tiny \dpi{200} \frac{a(b+c)}{a}$

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

19 December 2012 at 01:52

Looking forward to share your blog too!

19 December 2012 at 10:51

thanks :)

Anonymous
18 January 2013 at 02:12

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

18 January 2013 at 02:15

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

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

= 2x^2 + 3x -7y

just that. :)

18 January 2013 at 02:17

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

18 January 2013 at 02:24

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

20 January 2013 at 19:19

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

http://goo.gl/f1KmW

18 April 2013 at 17:55

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

1 May 2013 at 01:38

thanks