**How To Play**

Add up all the numbers according to the number given on the right of the screen. Click on any pieces until it is correct.

Add up all the numbers according to the number given on the right of the screen. Click on any pieces until it is correct.

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

__Factoring algebraic expression__ of 8x + 6y

Answer:

= 2.4x + 2.3y

write 2 in front of the bracket

= 2 (4x + 3y)

1) In a car donation, a wedding picture bussinessman wants to give 6 jeeps and 4 mini buses **equally** to a group of car donation agencies. Calculate the largest possible numbers of agencies in the group.

Answer:

6 jeeps + 4 mini buses

*To factoring algebraic expression above*, for each term has common factor/divisor e.g 2

= 2.3 jeeps + 2.2 mini buses

write 2 in front of the bracket

= 2 ( 3 jeeps + 2 mini buses )

Answer:

6 jeeps + 4 mini buses

= 2.3 jeeps + 2.2 mini buses

write 2 in front of the bracket

= 2 ( 3 jeeps + 2 mini buses )

So, the largest possible numbers of agencies is 2, will be given equally.

2)

Answer:

25 computers + 30 laptops

= 5.5 computers + 5.6 laptops

write 5 in front of the bracket

= 5 ( 5 computers + 6 laptops)

So, the largest possible numbers of schools is 5, will receive equally.

3) A hotels and cottages bussinessman wants to put 12 gold bars and 8 diamonds

Answer:

12 gold bars + 8 diamonds

= 4.3gold bars + 4.2 diamonds

write 4 in front of the bracket

= 4 ( 3gold bars + 2 diamonds)

So, the largest possible numbers of boxes is 4, will put inside it equally.

**Other Example**

Answer:

= 5.3a + 5.2b

write 5 in front of the bracket

= 5 (3a + 2b)

Answer:

= 5a.3x + 5a.4y

write 5a in front of the bracket

= 5a (3x + 4y)

Answer:

= 3z.10b + 3z.7a

write 3z in front of the bracket

= 3z (10b + 7a)

Answer:

for 10 + 5x has common factor/divisor e.g 5.

= y.x + y.2 + 5.2 + 5.x

write y and 5 in front of the bracket

= y (x+2) + 5 (2+x)

Now, all terms has common factor e.g (2+x)

write (2+x) in front of the bracket

= (2+x) (y+5)

Look at the story below

John is a Riverside Accident Lawyer. He has 2 airplanes, 5 bikes and 9 cars. How many total items John has?

Answer:

Or, we can draw the expression as

Now, your turn to identify each of the following stories.

1. In a cottage area, there are 12 rooms, 7 computers and 2 owner wedding pictures. How many total items cottage has?
2. In an airline ticket room, there are sitting 9 old mans, 18 ladies, 7 men. How many total people are there?

3. An online store sells 120 laptops, 20 gold bars, 28 cerebral palsy legs. How many total items store sells?

Example1:

3a multiplied by 5a

= 3a . 5a

= 15 a.a

=

Example 2:

multiplied by

= .

= .

=

=

Example 3 :

multiplied by

=.

=

=

1. Mesothelioma attorney office has 7 rooms, for each room has 12 chairs. How many chairs that office has?

Answer:

7 x 12 chairs = 84 chairs

2. a Hawaii tourism hotel has 12 floors, for each floor has 24 rooms, how many rooms that hotel has?

Answer:

12 x 24 rooms = 288 rooms

3. A store sells

How many legs that store can sell in 1.5 years.

Answer:

1.5 years = 18 months

So, 17 x 18 = 306 cerebral palsy legs in 1.5 years

Answer:

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

Combine like terms

= 9x + 9y

Answer:

2 chairs + 3 tables + 1 chairs + 4 tables + 4 chairs + 2 tables

=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)

= 140 rooms + 140 televisions + 280 beds

Answer:

Two years = 24 months

24( 20 pants + 12 shirts + 22 underwares)

= 480 pants + 288 shirts + 528 underwares

Answer:

To

=

Combine like terms

=

Answer:

To

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

Combine like terms

= 3a - 6b + 9c

Answer:

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

arrange like terms next one to another,

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

Combine like terms

= 2a + 2b

Answer:

= 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

Answer:

= a.1

= a

Answer:

=

=

Answer:

Algebraic expression above could be rewritten as

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

=

=

Answer:

Algebraic expression above could be rewritten as

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

=

=

Answer:

Algebraic expression above could be factorized

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

=

Example 1:

How many weeks are there in

a) 10 months

b) 1 year

c) x months

Answer:

a) In 10 months, there are 10.4 weeks = 40 weeks

b) In 1 year, there are 12.4 weeks = 48 weeks

c) In x months, there are x.4 weeks = 4x weeks

Example 2:

a) ten times the number x added by seven

b) The product of fifteen and a number p

c) The sum of nine and a number m

d) Half of a number z subtracted from eight

e) The sum of 9 gold bars and 5 gold bars

f) The product of ten and a cottage

g) The sum of 5600 dollars and 1200 dollars in a car donations

h) The product of 12 and a vacation resort owned by electronic company

Answer:

a) 10x + 7

b) 15.p

c) 9 + m

d) 8 - (z/2)

e) 15 gold bars

f) 10 cottages

g) 6800 dollars

h) 12 vacation resorts

**WITH ANIMATION**

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