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Topic: An Algebra 2 Test
Replies: 44   Last Post: Oct 10, 2012 2:42 AM

 Messages: [ Previous | Next ]
 Robert Hansen Posts: 11,345 From: Florida Registered: 6/22/09
Re: An Algebra 2 Test
Posted: Sep 28, 2012 11:36 PM

a^2 - (a-1)^2 = a^2 - (a^2 - 2a + 1) = 2a - 1 = 13.04822...

This is a very good point, work the algebra FIRST. I wonder how many algebra teachers are even capable of concocting such a problem? Working backwards and making sure that 2*a doesn't require any more than single digit math (no digit greater than 4). I have to think about this. This works well with large integers as well, with the same condition on the digits.

Lou, what do you say to problems like this with regards to our prior art discussion?

Ha, calculators are allowed. Calculators with 70 digits of precision I suppose.:)

Bob Hansen

On Sep 28, 2012, at 5:51 PM, "Dave L. Renfro" <renfr1dl@cmich.edu> wrote:

> Robert Hansen wrote:
>
> http://mathforum.org/kb/message.jspa?messageID=7897638
>

>> I want to try something different. I want everyone to contribute
>> problems for a hypothetical algebra 2 exam. You can contribute
>> just topics if you wish though I would like see examples as well.
>> I am going with algebra 2 rather than algebra 1 because I think
>> the line is more well defined.

>
> I only have a few moments before I need to leave to tutor
> someone, but here's a somewhat silly one off the top of
>
> Determine the exact value of a^2 - b^2 if
>
> a = 7.0241132301442003123012230341430201
> b = 6.0241132301442003123012230341430201
>
> Calculators are allowed.
>
> Dave L. Renfro

Date Subject Author
9/28/12 Robert Hansen
9/28/12 Dave L. Renfro
9/28/12 Robert Hansen
9/29/12 Louis Talman
9/29/12 Robert Hansen
10/1/12 Wayne Bishop
10/1/12 Robert Hansen
10/1/12 kirby urner
10/1/12 Robert Hansen
10/1/12 kirby urner
10/2/12 Robert Hansen
10/3/12 Wayne Bishop
10/3/12 Robert Hansen
9/29/12 kirby urner
9/29/12 Wayne Bishop
9/29/12 Robert Hansen
9/30/12 Robert Hansen
9/29/12 Dave L. Renfro
9/30/12 Robert Hansen
9/30/12 Robert Hansen
10/1/12 GS Chandy
10/2/12 Robert Hansen
10/3/12 Wayne Bishop
10/3/12 Robert Hansen
10/2/12 GS Chandy
10/2/12 Dave L. Renfro
10/2/12 Robert Hansen
10/2/12 Robert Hansen
10/3/12 Robert Hansen
10/3/12 Peter Duveen
10/6/12 Robert Hansen
10/3/12 Dave L. Renfro
10/3/12 kirby urner
10/3/12 kirby urner
10/8/12 Peter Duveen
10/8/12 Haim
10/9/12 Paul A. Tanner III
10/9/12 GS Chandy
10/9/12 Haim
10/9/12 Paul A. Tanner III
10/9/12 Haim
10/9/12 Paul A. Tanner III
10/9/12 Robert Hansen
10/9/12 Paul A. Tanner III
10/10/12 GS Chandy