Friday, February 23, 2007

GEPA HW Packet

Questions on the GEPA Homework Packet? Post them here.

6 comments:

Daniel said...

Okay...Questions on 4., 6., and 22.

For Question 4:
"List all the prime facotrs of 30" I got the answer, only through counting all of the numbers up to 30. I know that there is a better mathematical way to do this, so all ears.

For Question 6: Just a question for one of the answers, which is .4 raised to the .3 power, I need some clarification on how to raise to decimal powers, and if you are so generous negative powers.

Finally for Question 22: I do not understand the wording of this problem, period.

Mr. Chamberlain said...

Help with #6; Decimal (or fractional) powers:

This is a tough one that you have probably not seen yet. For now, you should know how to enter it into a scientific calculator and get an answer, that is .4^.3=0.7596...

The concept is a little tougher to understand. We will be covering negative exponents later in the year, I'd prefer to defer our discussion until then. Fractional exponents really don't come into play until Algebra 2(!!). Honestly, I'm a little dissapointed that something like this would show up on a sample GEPA test.

Mr. Chamberlain said...

Help with #22: Profit or Loss?

This is a classic middle school GEPA problem, so let's make sure we can fight our way through it... ONE STEP AT A TIME!

For problems like this, you have to understand the words, COST, PRICE, and PROFIT.

COST is what the store pays for the item.
PRICE is what the store charges you (so when you think about it, the store's price is your cost... hmmm).
PROFIT (for the store) is the difference between price and cost, i.e. the PRICE - COST.
A LOSS is what you call a PROFIT when it is a negative number.

This is what you should have been able to identify as you work through the problem:
1) Original COST
2) "Marked up" PRICE
3) "Marked down" PRICE

a) OK, the original COST is 19.50
b) What's the PRICE if the manager marks it up by 40%) Two options: you calculate 40% of 19.50 and add it --OR-- multiply 19.50 by 1.4
c) Now you have the store's original "Marked up" PRICE.
d) What is price if you take 40% off of $27.30?
e) Is the final marked down PRICE more or less than the original COST? Answer this and you'll know whether or not the store had a PROFIT or LOSS.

Mr. Chamberlain said...

Help with #4 - Prime Factors

I'll bet you'll remember the "factor tree" when you see it. Try these links:

Factor Tree Definition

Factor Tree Manipulative

Daniel said...

For Question 6: Okay, I feel good knowing that we will go over .4 to the power of .3 and negative powers later in the year.
For Question 4: I do not recall the factor tree, but I think I will just wikipedia it or ask my dad.
For Question 22: I understand the definitions of: cost, price, profit and loss, I think more of the problem for me was just that I didn't understand how they worded this problem. I got confused and didn't realize that all of this was affecting $19.50, meaning I would have to add the 40% and then take away 40%. So now I understand that it is a loss, and a loss of $-.-- (Answer Omitted)

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