Wednesday, May 31, 2006

growing post #3

Question #1: What is the difference between an algebraic expression and an equation (hint: One contains this and the other doesn't)? Give an example of both an expression and an equation.

An Algebraic Expression is when the value of the variable is already given to you.

Example

7 + 5(3) =

7 + 15 = 22

An Algebraic Equation is when the variable is given to you but is still an unknown.

Example

20 + 5a =

20 + 5(15) =

20 + 75 = 95

Question #2: What is a variable and why do we use one in algebra?

A variable represents an unknown quantity that we are trying to solve for. We use variables in algebra because it can help you solve the problem more easier and faster.

Question #3 Solve for N


Question #4 Solve the following equations. show all of the steps that are needed.

a) 3n + 4n + 7 = 2n + 12

7n + 7 = 2n + 12
7n - 2n + 7 = 2n - 2n + 12
5n + 7 = 12
5n + 7 - 7 = 12 - 7
5n = 5
5n/5 = 5/5
n = 1

b) 8n - (4+9) = 11

8n - 13 = 11
8n - 13 + 13 = 11 + 13
8n = 24
8n/8 = 24/8
1n = 3
n = 3

c) (8 - 3)n + 7n + 8 = 4n + 40

5n + 7n + 8 = 4n + 40
5n + 7n + 8 - 8 = 4n + 40 - 8
12n = 4n + 32
12n = 36n
12n/12 = 36/12
n = 3

Question #5 For this question you need to create a T-Chart and a graph to plot your data form this question onto.

You are having a race against your friend, except you are on foot and he is on his bike. You both know that if you are on a bike you bill be faster, so your friend gives you a head start of 3 minutes. If you can run 400m per minute, and you friend can bike 700m per minute, who will be the first to make it to the finish line 2000m away?

You would win the race as you can see...




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2 Comments:

At 7:20 PM, Blogger Mr. Reece said...

APril this post looks spectacular, but there are two small areas of concern. Read over your definition of an algebraic equation and expression. I think that for one of the two of them you are given the answer and therefore the variable can only have one value.

The other area of concern is 4c. I think that you made a small area as the answer is not n = 3

Otherwise it is great and with a few minor changes I'll be adding it to the growing post hall of fame!

 
At 1:01 PM, Blogger Mr. Reece said...

Unfortunatly you did not take advantage of making the few small corrections.
your mark stands at 25/30

 

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