Slides September 18

Here they are ...

Pre-Cal 20S September 18, 2004

View SlideShare presentation or Upload your own. (tags: math pc20sf08)

Slides September 16

Here they are ....

Pre-Cal 20S September 16, 2008

View SlideShare presentation or Upload your own. (tags: pc20sf08 math)

September 15, 2008

Excercise 9 : Factoring ax² + bx +c

For each question 1 to 5, factor each expression and write "prime" if not factorable.

1. a.) 2x² + 5x + 3
b.) 5x² + 6x + 1

2. a.) 5a² - 16a + 3
b.) 3y² + 4y + 1

3. a.) 24x² + 2x - 1
b.) 6y² + 20 + 23y

4. a.) 10 + y - 2y²
b.) 60y² - 27y - 60

5. a.) 15x² + 37x + 20
b.) 15a² + 8a - 12

6.) Solve for x: 6 - 2 [x - (3 + 4x) } = 8

7.) Solve for x: 4 - x -1 / 2 = x

8.) A square is inscribed in a circle. If the area of the circle is 100pi cm², what is the are of the square?




So this is everything we did in class. .
PLEASE DO ANY HOMEWORK YOU DIDN'T FINISH :)
THANK YOU!!
feel free to comment if I made any mistakes or forgotten anything. .
happy math, bye!


THE NEXT SCRIBE IS JEYSON SACEDA :) !!!

Today in class Dr.Eviator gave us Exercise 2: Factoring Review (Common, Simple Trinomial) questions 1-20. DO NOT do questions 14 and 18. If you weren't in class today and you forgot your textbook in your locker here are the questions: .

Exercise 2: Factoring Review (Common, Simple Trinomial)

1. a. 12m-2p
b. a - ar³y

2. a. 2a² - 12ab +ac
b. 6x² - 18z^6y - 6ax³z

3. a. 3r² - 15rh
b. 4n³ - 4n²

4. a. 32xy + 4x³y
b.3mn + 6n²m²

5. a. x² - 7x + 12
b. x² - 10x - 24

6. a. x² + 25 + 24
b. x² - 4x - 12

7. a. x² + x - 72
b. c² - 4c - 12

8. a. 4 - 5c + c²
b. x² - x - 6

9. If x = -3 and y = 4, find the valube of

a. 2x + 3y - xy b. x²y + xy²

10. Solve the equation: 3 - 2(x+1) = 5x + 4

11. Solve the equation: x/2 + 1 = x/3

12. Simplify the following expressions:

a. (3x)³
b. (4x²y)(3xy²)
c. 16x²y/ 4xy

13. If AB = 6 and BC = 10, find

a. the length of AC

b. the measure of angle B accurate
to the nearest degree

15. Find the Value of x to two decimal places.

16. Simplify: 3(x + 2) - 2(x + 3)

17. Simplify: (x + 2)(x + 1) - x(x + 3)

19. Simplify: 2[2x - (3 - x)]

20. The side of a square is (x + 4) cm. Find an algebraic expression for its area.

These questions are all due for Monday. Try to do all the questions. And the next scribe is....

LEVINIA!!!

Not much happened during class today, although we did continue with Exercise 1 from #10 and on. If for some reason you don't have the questions, here they are:



"11- If x = 2 and y = -3, find the values for the following:

A) x + y (x + y) B) 2x² + 3xy


12- Solve these equations:

A) 3 (x - 2) = 4 - (x - 2) B) x [over] 3 + 1 = x - 4


13- Simplify the following expressions:

A) (3x²)(5x³) B) (3x^4)² C) 12x^5 [over] 3x²


14- How many triangles are in this diagram?




15- The area of a triangle is A. If the base is of length b, express the length of the altitude in terms of A and b.


16- The solution to the equation 2x + 3 = 3x + [ink blot] is x= -8 What number is under the ink blot?


17- Find the value of x.



18- Find the value of x. Express your answer to one decimal place.




19- Use trigonometry to find the value of x. Give the answer to two decimal places.



20- Use trigonometry to find x. Give the answer to two decimal places.

"



Tomorrow's scribe will be Rustine.

Corrections/Riviewing Grade 9 Math, Multiplying Polynomials.

Today, we now have a different teacher for math class and her name is Mrs.Ingram. For the classmates who doesn't know, the reason why Mr.K is not showing up for class is because he is busy with his personal life outside of school and won't be coming back for awhile.

Today, we looked over our worksheet from last week homework, "Polynomials Exercise 1" and did corrections on it.

I will give you guys the correct answers for the questions below for the worksheet.

1.) Simplify each of the expressions below.

a) (a - 3b) + (2 + 2b)
answer:a+2-b

b) (8k + 3m) + (2k - 5m)
answer:10k-2m

c) (3a + 2b) - (a + 3b)
answer:2a-b

d) 3(2x^2y - 3xy + 7) + (xy - 3x^2y - 2)
answer:3x^2y-8xy+19

e) x(4x^2 + 5x) -2x^2(5x^2 - 2x)
answer:-10x^4+8x^3+5x^2

f) (1/2x + 1/3y) - (3/2x + 2/3y + 5) + (7/2x + 1/5y + 4)
answer:Confusing...ask teacher about this one

2. Find the sum of 7x^4y^3 - 3xy and 6x^5 - 5xy .
answer:6x^5+7x^4y^3-8xy

3. Wanda's age is (4x + 3y + 6) and her daughter's age is (2x - y - 4). Find the difference of their ages , expressing your answer in terms of x and y .
answer:2x+4y+10

Mrs.Ingram gived us examples "Multiplying Polynomials"
example- 3(x^2+6x+9)= 3x^2+18x+27

example- x(x^2+6x+9)= x^3+6x^2+9

example- (x+4)(x-2)= x^2-2x+4x-8= x^2+2x-8

Today homework is in our textbook.
"Multiplying Polynomials" Riviewing.
Exercise 1 questions#1-10
MUST BE DONE BY TOMORROW!

IF YOU EVER NEED HELP IN ANYTHING IN MATH!!
**REMEMBER TO ASK PEOPLE FOR HELP, DON'T BE SHY, YOU CAN ASK ME FOR HELP FOR EXAMPLE** & BE POSITIVE!! X)

Next Scribe is..........KRIS!?

There isn't much to talk about for Friday's class .
We had a substitute for the day ; Mr. Kuropatwa wasn't in class .
But he left us a worksheet to work on . It was still review of polynomials and such .
That's all we did for class .
I'm quite sure everyone got the worksheet but if you somehow misplaced it , here are the questions :

1. Simplify each of the expressions below.

a) (a - 3b) + (2 + 2b)

b) (8k + 3m) + (2k - 5m)

c) (3a + 2b) - (a + 3b)

d) 3(2x^2y - 3xy + 7) + (xy - 3x^2y - 2)

e) x(4x^2 + 5x) -2x^2(5x^2 - 2x)

f) (1/2x + 1/3y) - (3/2x + 2/3y + 5) + (7/2x + 1/5y + 4) *

2. Find the sum of 7x^4y^3 - 3xy and 6x^5 - 5xy .

3. Wanda's age is (4x + 3y + 6) and her daughter's age is (2x - y - 4). Find the difference of their ages , expressing your answer in terms of x and y .




* The reason why I starred " f) " was because that was the one that I had difficulty with . I'm sure there are others in the class who had difficulty with this question as well . If you understood how to do it , could you please explain and help us understand .


Monday's scribe will be Jessica .

Polynomials

Hello! Grade 10 Pre-Cal

Today in class we started with polynomials which is our first Unit of the course.

Mr. Kurapatwa thought as a little bit of Definition of Polynomials.

As we know that our first unit is polynomial, So we have to know the definition of polynomial!

1. Polynomials: is an algebraic expression of one or more terms

e.g. 2x+3y or x^2 - 5x+4

2. Monomial: is an algebraic expression of one term

e.g. 6x or 5ab or y

3. Binomial: is an algebraic expression of two terms
*We have to remember that any expression with two terms is a Binomial

e.g. x-y or x + 4

4. Trinomial: is an algebraic expression of three terms

e.g. 2x + 5y -4

*We also learn 5 other Definition*

1) Terms: is a symbol or group of symbols separated from other symbols bya plus or minus sign.
e.g. 3x - 5y + 7xyz in this expression we know that there are three terms, note that terms may contain several numbers and letters.

2) Coefficient: The numeric factor of a term (a number with a variable)
* for example 3x + 5y -4* the coefficient in this expression are 5 & 4

3) Sum: The result of Adding two or more number
e.g. The sum of 2 and 3 is? so we know that if we add 2 and 3 we get 5

4) Product: The result of Multiplying two or more numbers
e.g. the product of 7 and 3 is? so what we will do is to multiply 7 and 3, which will give us 49.

Time to Practice!!

Adding and Subtracting Polynomials
a. 7x-y-2x+3y? (when we are adding or subtracting polynomials we combine the like terms which looks the same.)

7x-2x are like terms

3y-y are like terms

so now it's easy for as to solve it!

the answer is 5x+2y

2. (4x-2y-4)-(-3x-2y+5) *i think this is little bit trickier*

What we will do hear is multiply the minus to each of the second expression on the right hand.

And now we remain with (4x-2y-4)+(3x+2y-5)

now the second expression is changed, what we will do is to take off the brackets and as i say we combine the like terms.

4x+3x-2y+2y-4-5

7x-9 ans

Multiplying and Dividing of Polynomials.

1. 2(x+y)

we just multiplied 2 to everything in the brackets

2.

Now what we have to is to divide
the coefficient and cancel the like terms
variable. Which Will give as 8x

For More Practice and Exercise:
Adding and Subtracting polynomial
Please Click

Multiplying Polynomial
Please Click

Next Scribe Blog Will be Rawena

I hope you guys will understand my blog
if not please live a comment for mistakes or anything

Thanks!!

Today's Slides: September 4

Here they are ...

Pre-Cal 20S September 4, 2008

View SlideShare presentation or Upload your own. (tags: pc20sf08 math)