## Monday, February 27, 2012

### Solving Equations

3x = 0.6 <-- you need to divide both sides by 3

3x/3 = 0.6/3

x=0.2

LS RS check ;

3x=0.6

3(0.2)

0.6

x/a = b <-- you can multiply (a)(b)

x/5 = 0.3

5(x/5) = 5(0.3)

x = 1.5

LS RS check ;

x/5 = 0.3

x = 1.5/0.3

a/x = b

3.3/x = 1.1

x(3/3) = 1.1x

3.3/1.1 = 1.1x/1.1

3=x <--You can do it like this or ...

x=3 <-- this is the more proper way

LS RS ;

3.3/x = 1.1

3.3/3

1.1

2x = 3/4

Divide 2 by itself = 3/4 . 2/1

x = 3/4 x 1/2 . 2/1 x 1/2 makes 0.

3/4 x 1/2 = 3/8

LS RS check ;

2x = 3/4

2/1(3/8) =

6/8

3/4.

another way to the previous question is ...

2x/1 = 3/4

(2x)(4) = 3

8x/8 = 3/8

x = 3/8

-2 1/2x = -3 1/2 <-- make into a proper fraction

-5/2x = -7/2

x = -7/-5

another way of doing it ;

-5/2x = -7/2

-5/2 x -2/5

x = 7/5

and another way ...

-5/2x = -7/2

-5x(2) = 2(-7)

-10x/-10 = -14/-10

x = 14/10 or 7/5

YOUR HOMEWORK:

Read Pages 292-300

Do SYU

Do CYU#3

Practise, APPLY ALL

Extend 3/5

8.1 Homework Book

## Tuesday, February 14, 2012

### More Practice on Chapter 7

First we were given a question to find the area of rectangle with a missing piece using polynomials.

There are two ways to figuring out the area of this shape. First way is to break up the shape into 3 pieces, and add Areas 1 and 2, and subtract area 3.

The second way is to pretend the missing piece is there (area 1) so it makes a whole rectangle, then subtract area 2 (missing piece) to area 1. I chose to do this method because it seemed like a faster way for me.

Show your work:

l = 8x - 4 + 4x + 9 = 12x +5

w = 6x + 2 + 3x - 5 = 9x - 3

A1 = lw

= (12x + 5)(9x -3)

= (12x)(9x) + (12x)(-3) + (5)(9x) + (5)(-3)

= 108x^ - 36x + 45x - 15

A2 = lw

= (8x - 4)(3x -5)

= (8x)(3x) + (8x)(-5) + (-4)(3x) + (-4)(-5)

= 24x^ - 40x -12x + 20

= 24x^ - 52x + 20

A1 - A2

= 108x^ + 9x -15 - (24x^ - 52x + 20)

= 108x^ +9x - 15 -24x^ +52x - 20

= 84x^ + 61x -35

Therefore, the area of the shape is 84x^ + 61x - 35.

The second question was a triangle. This was much simpler because it didn't contain a missing piece.

A = bh/2

= (8x +4)(5x)/2

= (8x)(5x) + (4)(5x)

= 40x^ + 20x/2

= 40x^/2 + 20x/2

= 20x^ + 10x

The area of the triangle is 20x^ + 10x.

The third question was to find the width of the rectangular prism.

V = lwh

48x³ = (2x)(w)(3x)

48x³ = 6x^

w = 48x³/6x^

w = 8x

The width of the rectangular prism is 8x.

The fourth question is similar to the first one, except with different values. Again, I used the A1-A2 method.

Step 1

Step 2

Step 3

The area of the shape is 26x^ - 35x - 12.

The fifth question is finding the ratio of the rectangle to the circle. This won't be on the test but it's better to know it now for future references.

r = d/2

r = 6x/2

r = 3x

rectangle / circle

= lw / pi r^

= 6x(12x) / pi(3x)^

= 72x^/pi 9x^

= 8 / pi

The last question was to find the ratio of the small circle to the large circle.

So/Lo = pi r^/pi r^

= pi(2x)^/pi(4x)^

= 4x^/16x^

= 4/16

= 1/4

Solve:

1. 3(5x + 3) - (10x - 6)

= 15x +9 - 10x + 6

= 5x + 15

2. (1/2t)^ 3t

= (1/2t)(1/2t)(3t)

= 1/4t^(3t)

= 3/4t³

Remember:

Always use the FOIL(First, Outside, Inside, Last) method when multiplying

Only add/subtract like terms

When subtracting polynomials, (-) before the 2nd polynomial means to multiply (-1) to each term. (Change each sign to its opposite)

Study, go on Mangahigh, and practice!

The next person to do the scribe will be Jocelle Garcia!

## Monday, February 13, 2012

### Diorella's Blog Post

The next person to do the blog will be..

**Marie Domingo.**

## Thursday, February 9, 2012

### Mark C's Multiplying Binomials & Dividing Post

**Click here for a website that teaches and reviews more things about the FOIL method**

**DIVISION**

**HOMEWORK:**

**Read pp. 272-274**

**CYU #1 & 2**

**Practice: Odd/Even**

**Apply: All**

**Extend: 2 of 3**

**Homework Book: 7.3**

**Green Sheets: 7-10 #1-7**

## Wednesday, February 8, 2012

### Ryan's math blog post

## Tuesday, February 7, 2012

### Multiplying and Dividing Monomials.

**Multiplying monomials:**

To start off we did a four questions they were:

(3)(2)= 6

(-4)(4)= -16

(-7)(-3)=21

(5)(-6)= -30

then we got to harder questions

3(2x)= 6x *"this means 3 groups of 2x"*

*we had to model it after wards*

* *

-4(3x)=-12x

(-3y)(-2x)= 6xy

*"I think that the answer turned out to be xy because if you multiply two numbers with different variables you're answer has to have a degree of two."*

* *

(3x)(-3x) = -9x^2 (squared)

*"This is one became squared because if you multiply two variables and they are both the same you get 2nd degree or squared"*

Dividing Monomials:

Similar to Multiplication we had to do some questions.

6/3= 3

-8/4=(-2)

16/-8= -2

-15/-3= 5.

6x/3= 2x

How to model division monomials.

very similar to the multiplication model.

-4xy/-2x= 2y

"how?''

*'' since there are two x's both of them get canceled out, leaving you with just the variable y''*

-6y^2/2y= -3y

*"since there were two y's on the first one, one gets canceled out and only one is left"*

Not everything can get modeled for example:

-6^3/ -2x= 3x^2

"The reason for that is because we don't have anything to represent a cube."

* ***HOMEWORK!!!**

**7.1 read pp 254-259**

**CYU#2**

**Practise : odd/even**

**Apply: all**

**Extend : 24,26,27**

**Homework book :7.1**

**" The next scribbler is Ryan Bautista"**

## Sunday, January 29, 2012

### Rise and Run

## Monday, January 23, 2012

## Wednesday, January 18, 2012

### Chapter 6 Linear Equations

Ordered Pairs have order that is (xy)

- 6.1 Read pp. 2-16
- Key Ideas
- CYU #2,3
- Practice Odd or Even
- Apply All
- Extend #17 and 15 or 16
- Homework Book Get Ready

Mangahigh

## Thursday, January 12, 2012

### Brandon's Blog Post

**Adding Integers:**

**Positive added to positive is always positive, adding negative to negative is negative also. Adding to positive, keep sign of integer with greatest absolute value. positive added to negative do as negative added to positive.**

**Here are some examples:**

**1) 1+1 = 2**

**2) -2+-2 = -4**

**3) -3+2 = -1**

**4) 5+-2 = 3**

**Multiplying Integers:**

**Positive multiplied with positive is positive, however negative multiplied by negative is positive, negative multiplied with positive is negative, and positive multiplied by negative is always negative.**

**Here are some examples:**

**1) (2)(2) = 4**

**2) (-6)(-2)= 12**

**3)(-3)(3)= -9**

**4) (3)(-3)= -9**

**Adding and subtracting like terms:**

**6x²+3x-4y+5+5y+6x-7x²-7 (Remember that colours represent like terms)**

**Step 1 ) Collect like terms in order of degree and alphabet.**

**6x²-7+3x+6x-4y+5y+5-7**

**Step 2) Simplify**

**-x²+ax+y-2.**

**Removing brackets when combining like terms:**

**(4x+3) + (-6x-3)**

**Step 1) Look at the sign (+,-) in front of each bracket, if it is a (+) leave the signs in the bracket the same, remove the (+) and rewrite the question.**

**Example:**

**4x+3-6x-3**

**Step 2) Combine like terms**

**4x-6x+3-3**

**Step 3) Simplify**

**-2x**

**Here's another one:**

**(-3x+4) + (+5x-7) = -3x+4+5x-7**

**= -3x+5x+4-7**

**= 2x-3**

**(Remember to always write your work on the right!)**

**Combining like terms with negative brackets:**

**(-6x+7) - (-4x+2)**

**Step 1) Look at the sign (+,-) in front of each bracket, if it is a (-), multiply each term by negative one**

**-6x+4x4+7-2**

**Step 2) Combine like terms**

**-6x+4x+7-2**

**Step 3) Simplify**

**-2x+5**

**HOMEWORK !**

**Manga high**

**read pages 183-186**

**CYU #2, #4**

**Practice odd or even**

**apply # 13-22**

**Extend # 23-25**

**Page 2 Interaction sheet**

**Why did the donkey get a passport?**

**Why is it good to play cards in a graveyard?**

**The next person that will be doing the blog is**

**BJ Alcantara**

**p.s the colours and sizes won't work on my post.**

## Wednesday, January 11, 2012

### Degrees and Terms

**Degree of a term:**Is the sum of it's exponents.

**Examples:**

**Degree of a polynomial:**Is the greatest degree of any of the terms in a polynomial

**Examples:**

*Like terms*will have the same variables and the same degree of variable or be constant

*Unlike terms*do

**not**share a common variable or degree of variable

- CYU #1, 3, and 4
- Prac: # 5-12
- Apply #15, 17 and 19
- Extend #28, 29 and 31
- 5.1 EXTRA PRACTICE
**AND MANGA HIGH!!**