Wednesday, May 31, 2006

shawn's growing post THIRD

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.

- Algebraic Expression - An algebraic expression is made up of the signs and symbols of algebra. These symbols include the Arabic numerals, literal numbers, the signs of operation, and so forth. Such an expression represents one number or one quantity.

- Equation - An equation states that one expression is equal to another expression or when the value of the variable is given.

the difference between an algebraic expression and an equation is that an algebraic expression does not the variable is not given and that you are able to choose your own variable. in an equation the variable is shown and given.


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

- a variable represents an unknown quantity that is trying to be solved for.
- we use variables in algebra because to solve for unknown numbers.
Question 3) Solve for N



the two squares equal two circles and one circle equals one. we dont know the value for the triangle so that's what we're trying to solve for. for first diagram you subtract 4 which is the value of the two squares together from 9 which is the value of the circles together.

4 - 9 = 5

triangle equals 5

Next step since we know now the a triangle equals 5. we add 12 which is the value of the 5 squares together and 10 which is the value of the 2 triangles together.

12 + 10 = 22

Now we divide 22 which is the value of the right and divide it by 2 because of the 2 N's on the other side.

22/2 = 11

N=11

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 for 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 is you are on a bike you will be faster so your friend gives you a head start of 3 minutes. If you can run 400m per minute, and your friend can 700m per minute, who will be the first to make it to the finish line 2000m away?





You win because your friend ends up finishing after 6 minutes.




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2 Comments:

At 7:57 PM, Blogger Mr. Reece said...

Great job shawn, but you have a small problem with 4c, the answer is not n=3.

Otherwise reread your definition on expressions and equations as you have some gramatical errors

 
At 1:27 PM, Blogger Mr. Reece said...

Shawn you did not take advantage of adding onto this post. As well you did not provide any examples for question 1. you mark is 24/30

 

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