Showing posts with label algebra. Show all posts
Showing posts with label algebra. Show all posts

Transposing Algebra Scribe for February 4, 2009

Wednesday, February 4, 2009
Today in math class, Mr. Harbeck taught us how to transpose algebra. We learned that to transpose algebra you have to:


  • Transport letters/variables to the left and numbers/constants to the right.

For example:













  • After moving the letters/variables to the left, you have to cancel one of the variables by using the opposite to cancel it.
  • Then you have to balance it by doing the same thing on the other variable.

For example:














  • After that, you do the same thing for the numbers/constants.

For example:












  • After, you solve it to get a one step equation.

For example:

































* Remember that when you verify it, you use the original question.

Mr. Harbeck said that this is grade 9 stuff but we have to learn it so we will be ready for grade 9. This won't be part of the exam but there will be quizzes.

Homework: Page 52 in purple booklet and write 3 examples of combining like terms at the top and 3 examples of transposing algebra at the bottom of multi-colored booklet ( the very last page, color green).

I did the first 2 questions from page 52 in the purple booklet:
S.) Is the example on top.
A.) 8y - 3 = 2y + 15
-2y + 3 = -2y + 3
One-step equation:
6y = 18
6y/6 = 18/6
y = 3
Verify:
8y -3 = 2y + 15
8(3) -3 = 2(3) + 15
24 - 3 = 15 + 6
21 = 21




Scribe Post for January 27/09

Tuesday, January 27, 2009
Hi everyone! Today in class we did more word problems on pg. 47 and pg. 48 in our lavender booklets. I'm here to show you how to solve 2 problems on each page.

Pg. 47

2. Suppose you have $40 and earn $7 per hour. How many hours must yoiu work until you have $131?

First you must have a Simple Sentence Answer and showing what the variable equals.


3. Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the store. How many movies did she rent?




Pg. 48

3. Valley Video charges a $12 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $90 at the store. How many movies did she rent?


5. Suppose you are a salesperson for Quark Computer Company. Each month you earn $400 plus one sixth for your sales. What amount must you sell this month to earn $2000?



Sorry if I made any mistakes!

The next scribe is Vincent!

TEST Scribe for January 23rd, 2009

Friday, January 23, 2009
So, today in class we all had a math test/quiz (Whatever you want to call it) At the end of the quiz we corrected the answers.

Here are 4 questions from the quiz that we had today, hopefully this will help all of you.




1. 16= -n + 4





2. 45= 6n-45

3.



4.






Sorry guys if I made any mistakes, just let me know. (:

Scribe Post for January 20

Thursday, January 22, 2009
On January 20th, 2009, in class, Mr. Harbeck taught us how to solve multiplicative algebra equations. He also reviewed how to solve adding and subtracting algebra questions. Thes are some of the questions he gave us to do in class and for homework.

Remember:
Isolate the variable
Cancel using
Opposite
Balance
Verify

These are some of the following questions that i am going to help you with:
3n+8=20

3n+8-8=20-8 (add the opposites and what you do to one side you so to the other)

3n=12

3n/3=12/3

n=4

verify

3n+8=20

3(4)+8=20

12+8=20

20=20

7x-2=61

7x-2+2=61+2

7x=63

7x/7=63/7

x=9

verify

7x-2=61

7(9)-2=61

63-2=61

61=61

Algebra Scribe Post for January 21, 2009

Wednesday, January 21, 2009
Hello people! I am the scribe yet again on this fabulous Tuesday! Today in the class of mathematics (math class) we were in Mr. Penner's room because it's day 6 and we do that from now on. Anyway, we went over one question that somebody had problems with. Then we worked on our *trumpet fanfare* Multi-Coloured Book (which is shown below)!

We wrote quite a bit on it so listen carefully. On the bottom left corner (the one that says two step on it) we opened it to the second flap. This is the flap right after the additive type questions (which is blue on all of them I believe). We wrote the following questions on it which must be answered and verified: 7x-2=61 and -8t-23=-15. Next, we went to the exact same flap but this time we went to the other side which is the second flap of the bottom right! On this one we wrote: 2x-4=6 and -3x-1=-7 which must be done in algebra tiles. There is a picture below of what must be done (just click it to enlarge it).

Once we finished the subtractive examples we moved on to multiplication. We wrote the questions 3n+8=20 and -n-4=2 on the left side and the questions -2n=4=-2 and 3n+4=7 on the right side. There's a picture below of it all. Remember, just click to enlarge. ;)

Finally, we moved on to division! We only did stuff on the left side so don't write on the right side!!! We did many questions and all of them were completed in class. If you don't have them then they're below for you to copy.

Also, if you run out of room then go to the next page but stay on the lefternmost flap (the one to the farthest left). This is what it looks like:

Alright, now I will explain in detail how to do a two step divisive type algebraic equation (what a mouthful!). It's all explained in the picture below so have fun! Or at least try to...

There you go. Also, if you still don't understand any/some algebra then talk to Mr. H or ask somebody who does know. You could also ask me :)
Homework
For homework we need to complete page 43 and do page 44 of our lavender booklets.
Also, we have a Test on Friday, January 23, 2009!!! It's just 10 questions from our homework.
There you have it! Today's class in a (rather large) nutshell! Also, I pick Jai to do tomorrow's scribe!

December 10th Scribe Post

Wednesday, December 10, 2008
Today in Math class we learned about distributive property. We use the distributive property when we are multiplying more than 2 terms. Multiply each of the terms inside the brackets by the number outside the brackets.


Here are examples that we did in class with Mr. Harbeck.





Ex. 5(n-7) means five groups of (n-7)



n-7
n-7
n-7
n-7
_____
5-35
or
5(n-7)
5(n)= 5n
5(-7)= -35
5n-35




Ex. 6(7+n) means six groups of (7+n)
7+n
7+n
7+n
7+n
7+n
7+n
_____
42+6n
or
6(7+n)
6(7)= 42
6(n)= 6n
42+6n



Ex. 6(2n+4) means six groups of (2n+4)
2n+4
2n+4
2n+4
2n+4
2n+4
2n+4
______
12n+24
or
6(2n+4)
6(2n)= 12n
6(4)= 24
12n+24




Here is the last example that we did in class.

Here are the questions and answers for p.7 in the pink booklet.

1. 3(4x+6)+7x
12x+18+7x
12x+7x+18
19x+18

2. 7(2+3x)+8
14+21x+8
14+8+21x
22+21x

3. 9+5(4x+4)
9+20x+20
9+20+20x
29+20x

4. 12+3(8+x)
12+24+3x
36+3x

5. (7x+2)3+8x
21x+6+8x
21x+8x+6
29x+6

6. 6(4x+7)+x
24x+42+x
24x+x+42
25x+42

7. 3x+(2x+6)5
3x+10x+30
13x+30

8. 4+6(7x+7)
4+42x+42
4+42+42x
46+42x

9. 8+5(9+4x)
8+45+20x
53+20x

10. 6m+3(2m+5)+7
6m+6m+15+7
12m+22

11. 5(m+9)+4+8m
5m+45+4+8m
5m+8m+45+4
13m+49

12. 3m+2(5+m)+5m
3m+2m+5m+10
10m+10

13. 6m+14+3(3m+7)
6m+14+9m+21
6m+9m+14+21
15m+35

14. 4(2m+6)+3(3+5m)
8m+24+9+15m
8m+15m+24+9
23m+33

15. 5(8+m)+2(7+7m)
40+5m+14+14m
5m+14m+40+14
19m+54

16. (2m+1)9+5(5m+3)
18m+9+25m+15
18m+25m+9+15
43m+24

17. 7(7+5m)+(m+6)4
49+35m+4m+24
35m+4m+49+24
39m+73

18. 2(9m+5)+8(6m+1)
18m+10+48m+8
18m+48m+10+8
66m+18

For the next scribe I have chosen Tammra