NCTM December Math Problems Calendar!!

[koolwhip40]

1. If the area of a triangle with base 2F and height F-2 is equal to F, compute F.

4. If (2+2i)^2=a+bi compute the value of a+b

12. Given abs(11x-4)<or equal to 99/2 find the result when the largest possible solution for x is subtracted from the smallest possible solution.

16. At which alue of x does this equation take on its minimum value? y=(x-1)(x-19)+7

20. Let K=1/(1/4). If x=K/(K-x), find x.

24. Compute x+y, given the linear system with T cannot = 1 and with the ordered pair (x,y) as solution:
x+2y=3...Tx+(T+1)y=T+2
28. If 720 can be written as the product of five consecutive integers, determine the middle integer.

29. Compute the number of integers from 1 to 10000 inclusive that are divisible by 4 or 5.

For these problems I don't want the answers, I am looking for a way to look at the problem differently to start them off. Any help is very appreciated!

[tkhunny]

"Help" would require you to do somehting. Show what you can.

[Denis]

Can we get an email from your teacher confirming this?

[koolwhip40]

"Help" would require you to do somehting. Show what you can.

I switched my question at the bottom up to better clarify what I was asking. If you can help me with starting these problems it would be beneficial to me.

[Subhotosh Khan]

1. If the area of a triangle with base 2F and height F-2 is equal to F, compute F.

Area of a triangle = 1/2 * (base) * (height)

replace the unknowns by given functions of F and then solve for 'F".

Please show us what progress you can make with above hint - then more will come

4. If (2+2i)^2=a+bi compute the value of a+b

12. Given abs(11x-4)<or equal to 99/2 find the result when the largest possible solution for x is subtracted from the smallest possible solution.

16. At which alue of x does this equation take on its minimum value? y=(x-1)(x-19)+7

20. Let K=1/(1/4). If x=K/(K-x), find x.

24. Compute x+y, given the linear system with T cannot = 1 and with the ordered pair (x,y) as solution:
x+2y=3...Tx+(T+1)y=T+2
28. If 720 can be written as the product of five consecutive integers, determine the middle integer.

29. Compute the number of integers from 1 to 10000 inclusive that are divisible by 4 or 5.

For these problems I don't want the answers, I am looking for a way to look at the problem differently to start them off. Any help is very appreciated!

[tkhunny]

"Help" would require you to do somehting. Show what you can.

I switched my question at the bottom up to better clarify what I was asking. If you can help me with starting these problems it would be beneficial to me.

Fair enough.

4. Perform multiplication, combine like terms, simplify

[koolwhip40]

[quote="Subhotosh Khan"][quote="koolwhip40"]1. If the area of a triangle with base 2F and height F-2 is equal to F, compute F.

Area of a triangle = 1/2 * (base) * (height)

replace the unknowns by given functions of F and then solve for 'F".

Please show us what progress you can make with above hint - then more will come

Ok I did that and I got 5/2 for the answer.

[Mrspi]

1. If the area of a triangle with base 2F and height F-2 is equal to F, compute F.

Area of a triangle = 1/2 * (base) * (height)

replace the unknowns by given functions of F and then solve for 'F".

Please show us what progress you can make with above hint - then more will come

Ok I did that and I got 5/2 for the answer.

I'm sorry...that is not the correct answer. And because we can't SEE the work you did, we have no idea of where you might be making a mistake. Please repost, and show us how you "got 5/2 for the answer."

[koolwhip40]

2

[koolwhip40]

I'm sorry...that is not the correct answer. And because we can't SEE the work you did, we have no idea of where you might be making a mistake. Please repost, and show us how you "got 5/2 for the answer."

Ok I looked back at what I did and I found the error I think..this is what I did for my answer..
.5(2F)(F-2)=F
F(F-2)=F
The F's cancel out because F=F so I was left with F-2=0, I added 2 to each side and got 2 for my answer.