Math Homework HELP I’m TOTALLY lost! First right gets 10 points! (Coarse 1)?

Published October 25, 2010

Question by HottieHansan: Math Homework HELP I’m TOTALLY lost! First right gets 10 points! (Coarse 1)?
Here’s the problem:

In transforming algebraic expressions to equivalent forms, it’s easy to make some slips and use “illegal” moves. Given below are six pairs of algebraic expressions. Some are equivalent and some are not.
+Use tables, graphs, and reasoning with algebraic properties to decide which pairs are actually equivalent and which involve slips in reasoning.
+In each case of equivalent expressions, identify the use of commutative and distributive properties that justify the equivalence.
+In each case of an algebra “slip”, spot the reasoning error. Write an explanation that you would use to help clear up the problem for the student who made the error.

a) Is 3(2x+8) equivalent to 6x+8?
b) Is 4x – 6x equivalent to 2x?
c) Is 8x(2 – 6x) equivalent to 16x – 48x[squared]?
d) Is 10+3x-12 equivalent to 3x+2?
e) Is 10x+5 equivalent to 10(x+5)?
f) Is -4(x-3) equivalent to -4x – 12?

I used a graphing calculator to find which are equivalent and according to my calculations, only C is equivalent. Now, how do I prove on my paper that each is equivalent via graphs, tables and algebraic reasoning.
I’d prefer that you don’t completely solve it for me
THANKS SO MUCH
This frikin algebra is so confusing.
duh i know that I need to know HOW TO SOLVE THE GRAPHS TABLES ETC. SHOWING WHETHER OR NOT THEY ARE EQUIVALENT?!
second answerer, how did you arrive at those equivalent expressions???

Best answer:

Answer by Leslie C
a)no-b)no-c)yes-d)no-e)no-f)no

#directly next to parenthesis mean multiply— add or subtract common multiples EX 2x-4x= -2x

Know better? Leave your own answer in the comments!