help a student with math homework, am I dumb!?

well, my dad has his girlfriends 6th grade neice over, and has presented him with some math homework, so my dad calls on me to figure one out, am I dumb, or is this some darn advanvced math for a 6th grader. I do not have the book in front of me, and no doubt there is a chapter in the beginning on how to work this out, but I can not grok this one… Here is the deal, prompt help is needed, thanks all.

The area of a figure is given by 3x2 + 5x
(the 3x2 is 3xsquared, I dont know if that will hold up in html)

What is the area when x = 5cm
a) 40cm2
b) 100cm2
c) 55cm2
d) 250cm2
(again where the 2 is actually a squared)

If you can explain your work as well, that is the idea, so I can show this post to my father, thanks

b) 100 cm

area = 3x[sup]2[/sup] + 5x, so
with x = 5cm,

area = 3(5[sup]2[/sup]) + 5(5). Since 5[sup]2[/sup] = 5x5 = 25,

area = 325 + 55 = 75+25 = 100.

Don’t forget that the exponent is done before the multiplication by 3, since exponentiation has a higher order of precendence than multiplication.

The units don’t really add up, since we’re adding 75 cm[sup]2[/sup] to 25cm, but that may be a mistake.

Arjuna34

lovely, thank you very much, you know, I reied that in the beginning, and for some reason the sloppy handwriting I have yielded a totally wrong answer, oh well, thanks for taking the time to mess with this one

Wow…that is some very advanced math homework for a sixth grader. That’s about on par with what my younger brother was doing in 7th grade.

<sudden, horrible thought>
This niece doesn’t live in Massachusetts, does she?
</sudden, horrible thought>

Anyway, I see Arjuna34 has beaten me to the answer (save that there’s no contradiction in the units, the area is given by (3x[sup]2[/sup] + 5x)cm[sup]2[/sup], not 3xcm[sup]2[/sup] + 5xcm). Curse you and your swift responses!

BTW, welcome to the SDMB, Taran and ScottHaneda! You’ve got to be quick on the draw here in General Questions :wink:

Well, if x = 5cm, as the OP said, then there is a units problem. If x is a dimensionless 5, then there’s not … we’d have to see the original wording to be sure.

I don’t recall doing exponents until at least 7th grade either.

Arjuna34