@zepdrix
`Chapter 1 Review` I want you to simplify these expressions: \[\Large\rm 1)~~x+x+x=\]\[\Large\rm 2)~~x\cdot x\cdot x=\]\[\Large\rm x^2+x+x=\]
1) 3x? i forgot how to do all of these lets hope im right :P 2) x^3 3)3x^2
#1 and #2 are correct.
3) 2x^2?
\[\Large\rm a+a=2a\]\[\Large\rm a^2+a^2=2a^2\]\[\Large\rm a^3+a^3=2a^3\]\[\Large\rm a^4+a^4+a^4=3a^4\] \[\Large\rm x^2+x+x=x^2+2x\]
x^2 and x are NOT like-terms. Can't combine them in the way you would like D:
OOOOO >_<
`Chapter 1 continued` Order of Operations: \[\Large\rm 4)~~5-81\div(7-4)^2\times2=\]\[\Large\rm 5)~~ 7-(3-11)+15\times2=\]\[\Large\rm 6)~~21\div3(14-4)^2-15=\]
ummm can u teach me one? O_O
P (Parenthesis) E (Exponent) MD (Multiplication/Division) AS (Addition/Subtraction) Remember this? :)
We prioritize our operations in a certain way, parenthesis are the most important, so we start there.\[\Large\rm 4)~~5-81\div\color{orangered}{(7-4)}^2\times2=\]So we want to do everything inside of these brackets first.
\[\Large\rm 4)~~5-81\div\color{orangered}{(3)}^2\times2=\]Get that?
Exponent is next on our list,\[\Large\rm 4)~~5-81\div\color{orangered}{(3)^2}\times2=\]\[\Large\rm 4)~~5-81\div\color{orangered}{9}\times2=\]
This next step is very important, Multiplication DOES NOT come before Division. They are on the same level, we perform them from left to right. So our next step is this one,\[\Large\rm 4)~~5-\color{orangered}{81\div9}\times2=\]
We chose that one because it was the furthest to the left (from our multiplication/division)
So we get,\[\Large\rm 4)~~5-\color{orangered}{9}\times2=\]We then prioritize multiplication above subtraction,\[\Large\rm 4)~~5-\color{orangered}{9\times2}=\]
Ah sorry I'm stealing all the fun here... Any confusion in these steps? :o
ooo ok this is starting to make sense :) nope no confusin
So then what's your final answer for #4?
13
am i right? ;)
no
i multiplied the subtracted -_-
\[\Large\rm 4)~~5-\color{orangered}{9\times2}=\]\[\Large\rm 4)~~5-\color{orangered}{18}=\]\[\Large\rm 4)~~ 5-18\ne 13\]
-13....
k that looks better :)
Try number 5 on your own :OO \[\Large\rm 5)~~ 7-(3-11)+15\times2=\]
O_O
>:) calculator does the trick!! :D
45 >:)
no cheats :c
yay 45 c:
xD calc helped :P
\[\Large\rm 6)~~21\div3(14-4)^2-15=\]
102
Oh and tso im 5
The real question is, can you use a calculator on your exam? ._.
Hmm not sure how you got that :o
@TheSmartOne no
\[\Large\rm 6)~~21\div3\color{orangered}{(14-4)}^2-15=\]Parenthesis first ya?
(10)^2=100
\[\Large\rm 6)~~21\div3(100)-15=\]Ok good so far
pppooooooojjjjj, where you go?|dw:1431999502406:dw|
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