Jandro's Math Parent Quiz Post

Here are the questions.

Ratio Rate Proportion (http://www.blogger.com/blogger.g?blogID=3340132839860156300#editor/target=post;postID=3047065411399473139;onPublishedMenu=allposts;onClosedMenu=allposts;postNum=7;src=postname)
Peter runs 200 m in 30s while his sister Eva runs 300 m in 36s.

• Who is the faster runner? Explain how you can tell.
• At the same rate, how far will each runner go in 2 minutes?

  Percent ()
A bicycle is on sale for 10% off the original price of $420. when it does not sell, the store reduces the sale price by another 5%.  What is the final price of the bicycle?

Surface Area
Calculate the Surface Area of the net below.

Fractions (http://www.blogger.com/blogger.g?blogID=3340132839860156300#editor/target=post;postID=1613348053068375510;onPublishedMenu=allposts;onClosedMenu=allposts;postNum=5;src=postname)
Chad likes to eat Honeycomb for breakfast every day.  He eats 3/4 of a box per week. 

• How much of the box does he eat each day?
• How many boxes of Honeycomb does he eat each year?

Algebra Equation Solving(http://www.blogger.com/blogger.g?blogID=3340132839860156300#editor/target=post;postID=7306479872082122419;onPublishedMenu=allposts;onClosedMenu=allposts;postNum=2;src=postname)

 This is the end of your Parent Quiz. Please have your parents post a comment in your blog post's comment area.

Read more: http://sargentparkmathzone.blogspot.com/#ixzz2QfjkJ33L
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Jamdro and Sok Langs Unproject

" Unproject" Project
By: Sok Lang Pov and Jandro Austria


2 step Multiply

2x+1=9 

The first thing we should do in a 2 Step Multiply is to Isolate the Variable and this is what it should look like.

2x+1-1=9-1

Now that we have done this, 2x = 9-1 which is 2x = 8
9
Now that we have we have 2x = 8 we must do the opposite operation to get the value of x. Since 2x is multiplying, we must divide 2x by 2 and do the same to 8. The result we end up with would be x = 4. If you were to write it down it would look like this.

2x = 8

2x / 2 = 8 / 2

x = 4 
 

Now we must Verify our theory

2x + 1 = 9

2(4) + 1 = 9

8 + 1 = 9

9 = 9 

We also have to model this equation too and this picture will show you how:

 And that is how we solve 2 Step Multiply equations.
 

2 Step Divide

x/2 + 4 = 9

What we must do is isolate the variable again. The steps are very similar to 2 Step Multiply.  Since there is a positive 4, we must do the opposite operation and subtract 4 from 4 and subtract 4 from 9.         

x/2 +4-4 = 9 - 4
 
x/2 = 5

And now since theres division in this equation we must do the opposite operation which is Multiplication

This is what it would look like: 

(x/2) x 2 = 5 x 2

x = 10

Now we must verify our answer again ( Note: We must Verify all the time in all algebraic equations) 

x/2 + 4 = 9

(10) / 2 + 4 = 9

5 + 4 = 9

9 = 9  

That my friends is how we solve 2 Step Divide equations


Distributive

2(x+4) = 10
For Distributive, we must multiply whatever is inside the brackets by whats outside of the brackets. In this case it would be 2 x (x) and 2 x 4. After you have done the steps, it should look like this:

2 x (x) = 2x

2 x 4 = 8

2x + 8 = 10

Now that we have a 2 Step Multiply Equation, all we have to do is the steps to solve a 2 Step Multiply Equation. The steps should look like this: 

2x + 8 - 8 = 10 - 8

2x = 2

2x / 2 = 2/2

x = 1

Now we must Verify our answer.

2( x + 4) = 10

2 ( 1 + 4) = 10

2 (5) = 10

10 = 10

And that is how we do Distributive Equations!!!!!    
  
Important Vocabulary Words

Co-efficient- Is any certain number that you can multiply a variable with, the co-efficient can be negative or positive.(example) 2x + 1 = 9 

Constant - Are any numbers that are a part of the equation. They always stay the same.
                  (example) 2x +1 = 9

Variable- Is any letter that can represent any unknown number.
                ( example) 2x + 1 = 9 

If you are still having trouble with 2 step multiply and division, I suggest you watch this:)

http://www.youtube.com/watch?v=HyUiYeLee3g

If you are still having trouble with Distributive Property I suggest you watch this video:)

http://www.youtube.com/watch?v=zv4qbeLok-M

( I could not post the video because firefox and windows explorer would not let me post but only let me link the videos.....sorry D: )

Well we hope you enjoyed our presentation and we hope we have helped you understand Algebra- From your wonderful classmates, Sok Lang and Jandro :)

Jandro Austria's Algebra Scribepost

Question 1:

                                                                                                                                                         
a)


b)   b= 4(f)
      b= 4(60)
      b= 240 
There are 240 dots in 60 figures because the formula for this question is b=4(f) which means Black dots equal figure number ( 60 for example) multiplied by 4 which is equivalent to 240 dots in 60 figures. Thats  how I got my answer.

Question 2:



a) The graph is about a grade 8 car wash and that there getting paid $10 income per 1 car they wash
b) The pattern on the graph is linear and as you can see the x-axis always goes up by 1 consecutively and the y-axis goes up by 10 consecutively 
c) The cost of 1 car was is $10 and I figured this out by finding out the formula which is I= 10(c), I is income and c is number of cars.
d)
 

e) I= 10(c)
    I= 10(15)
    I= 150
After washing 15 cars, the grade 8 students would end up with a $150 income, I found this out by using the formula which is I= 10(c).


Question 3:
 




a) 1 zap would cost $3 ( just like the graph shows)
b) The pattern this graph shows is that the coordinates go over 1 up 3 and this is also a linear pattern
c) If you placed a point at (0,0) it would represent that there are 0 cans and $0 spent

Question 4:

a)
 
     

b) This graph linear relationship because the the coordinates go over 1 up 9 and as you see on the graph it is a straight line.

c) Yes it is possible because he can work (for example 2 hours and a half) because you can half or divide hours into 2 or 4.

 http://www.youtube.com/watch?v=YGVUVPOKLws

sorry I could not upload the video, the only way I could let you see the video is to link it, I suggest this video for people that need some help, and some people that like advance problems, this is a great video for you.