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Thursday, December 08, 2005

Last Minute Practice

OK folks, as promised, I've got two excellent little review quizzes you can take to practice your skills. If you have trouble with any of the questions, copy it down and post it to the blog so you can work on it together as a class.

Here are the quizzes:




Don't forget the links in the del.icio.us box!

Study hard and do the best work you can tomorrow .... work you'll be proud of. ;-)

posted by Darren Kuropatwa @ 12/08/2005 07:05:00 PM   2 comments

2 Comments:

At 12/08/2005 10:05 PM, Anonymous Anonymous said...

yeah, real excellent esp. the word problems, i DO NOT UNDERSTAND it. it's making me angry, i don't understand the word problems.

 
At 12/08/2005 10:39 PM, Blogger Darren Kuropatwa said...

I received this email:

Sir,

In one of the review stuff you posted (most recent), I've a problem on one of the questions about word problems.

Problem: The difference of the reciprocals of two consecutive integers is 1/12. Find the integers.

I don't get it.

OK, here's how it's done:

Consecutive integers are x and (x+1).

Their reciprocals are 1/x and 1/(x+1).

Since their difference is a positive number the difference must be
(bigger fraction) - (smaller fraction)

or

1/x - 1/(x+1) = 1/12

multiply both sides by the common denominator 12x(x+1) which gives:

12(x+1) - 12x = x(x+1)

expanding

12x + 12 - 12x = x^2 +x

balancing gives

0 = x^2 + x - 12
0 = (x+4)(x-3)

X = -4 or x = 3

so the numbers are either

-4 and -3

or

3 and 4

Does this help? ;-)

 

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