HOW TO SIMPLIFY ALGEBRAIC EXPRESSION
Given the Example:
Simplify algebraic expression of 3x + 6y + 8x - 2x - 4y +7y
Answer:
= 3x + 8x -2x + 6y - 4y +7y
Combine like terms
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 5x+ 3y-2x -y
Answer:
To simplify algebraic expression above , arrange like terms next to one another
= 5x-2x +3y -y
Combine like terms
= 3x +2y
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 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 a. b/b
Answer:
To simplify this algebraic expression, divided b by b, to become 1, so
= a.1
= a
Answer:
To simplify this algebraic expression, divided a by a, to become 1, so
= 1. 2m
= 2m
Example 7:
Simplify algebraic expression 3a(x+y)/a
Answer:
Algebraic expression above could be rewritten as (3ax+ 3ay)/a
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.
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
Example 1:
Simplify algebraic expression 5x+ 3y-2x -y
Answer:
To simplify algebraic expression above , arrange like terms next to one another
= 5x-2x +3y -y
Combine like terms
= 3x +2y
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
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
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:
Answer:
To simplify this algebraic expression, divided b by b, to become 1, so
= a.1
= a
Example 6:
Simplify algebraic expression a. 2m /aAnswer:
To simplify this algebraic expression, divided a by a, to become 1, so
= 1. 2m
= 2m
Example 7:
Answer:
Algebraic expression above could be rewritten as (3ax+ 3ay)/a
To simplify this , divided a by a, to become 1, so
= 3x+ 3y
Example 8:
Simplify algebraic expression m(5x+ 3y)/xAnswer:
Algebraic expression above could be rewritten as (5mx+ 3my)/x
To simplify this , divided x by x, to become 1, so
= 5x+ 3my
Example 9:
Answer:
Algebraic expression above could be factorized a(5x+ 3m)/a
To simplify this , divided a by a, to become 1, so
= 5x+ 3m
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 -7y
just that. :)
I feel difficult to simplify algebraic expression ax + 3x - 3bx - 9y ?
ReplyDeleteTo simplify that algebraic expression above, factorise common factor in like term, you can see my post factoring algebraic expression
Deleteax + 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