Thursday, April 15, 2010

math problems #5

My favorite question was number 10.

10) The sum of five consecutive integers is 75. The sum of the largest and smallest of these five integers is:
a)15 b)25 c)26 d)30 e) 32

I first started with 12+13+14+15+16 but that equaled to 70.
so next i tried
13+14+15+16+17 which equaled to 75!
and than you have to add the largest and smallest integer (13+17) which equaled to 30, therefore the answer is number d!
Overall, i like questions like these. Where you have to add up different numbers, or consecutive numbers to find your answer. I think these types of questions are fun, and good for the brain. I also like this questions because it is straightforward.

Friday, April 2, 2010

Problem # 2

Number 14 was my favorite question.
14) The sum of the digits of a five-digit positive ineger is 2. (A five-digit integer cannot start with zero.) Th enumber of such integers is:
a)1 b)2 c)3 d)4 e)5

Well i thought to myself, what could be added that equals to 2? "1 and or 2 with 0's"
Than I proceeded to write down all the possibilities. (keeping in mind that the number could not start with 0):

11000
10100
10010
10001
20000

therefore there is 5! (answer is e)
I like this question because i like questions that are straightforward, and you dont' have to think outside the box for ways to solve the problem. ^^

rational expressions!



If i see this on a math test, my first reaction would be "WOAH! o.o how am i suppose to do this?!" But after breaking it down, and realizing that it is just many smaller steps mashed into one equation, i realize it isnt very hard to solve ^^

For the first equation:
1) you always want to get rid of the negative exponents first, so you first switch the numbers with the negative exponents to the top or bottom, turning it to be positive.
2)next you take the 5/2 and put it with each of the digits.
3)solve each of the mini math question that has the 5/2 now.
3) than make sure your final number is in the simplest form! voila! you're done ^^

For the 2nd equation:
1) first you want to take out the first root.
2) solve the new equations, and than take out the second root.
3) than solve the equation
4) make sure it is in simplest form! You're done! ^^

(i did not have the newest version of word so i coulnd't showed step by step with the answers)