Ok.. Math problems. Algebra 2?
So.. basically im being homeschooled online, and i have been teaching myself due to the fact that my parents are both full time teachers, and i am also a part time English/Chinese tutor. (This all to explain myself.)
Anyway, I cannot for the life of me understand math. It's like a foreign language to me (oh the irony.)
If one of you could help me with it, that'd be amazing.
P=2L+2W ; solve for L
C=2 pi r; solve for r
P= 3r+2s; solve for s
A=1+prt; solve for r
C= 5(F-32)/ 9 ; solve for F
A= h/2(a+b); solve for h
Ok.. so basically what im looking for is how to solve it. You don't have to solve them all, i just desperately want to understand this stuff.
Thank you so much<3
Comments
1. P= 2L +2W
from the right hand side, we can see that 2 is common to both L and W, therefore, we'll bring it out like this:
P=2(L+W)
if this parenthesis are solved for, we'll get back to the original equation. Now didvide both side by 2 to get:
P/2=2(L+W)/2
on the right hand side (RHS), 2 will cancel out one another to get:
P/2=L+W
now, if W moves to the other side (Left), by crossing over the = sign, it changes it sign from + to -. As in:
(P/2)-W=L . Therefore,
L= (P/2)-W. Solved
2. C=2pi r
all we need to do here is to find a way to let r be alone and that is by dividing both sides by 2pi:
C/2pi= 2pi r/2pi
where 2pi will cancel one another on the RHS to get
C/2pi= r. Therefore,
r= C/2pi. Solved.
3. P=3r+2s.
All we need to do is to find a way of making s be alone on one side and the rest on the other side. First step is by making 3r cross to the other side and this will change its sign form + to -. As in:
P-3r=2s
s is not alone yet, to finalize this, we'll have to divide both sides by 2:
(P-3r)/2=2s/2
with 2cancelling 2 on the RHS, we'll be left with:
(P-3r)/2=s. Therefore,
s= (P-3r)/2. Solved
4. A=1+prt
again, we'll look for a way to make r be alone on one side. Firstly, let 1 cross to the other side where it will change to -1:
A-1=prt
now, divide both sides by pt:
(A-1)/pt= prt/pt
with pt cancelling out on the RHS, we'll have:
(A-1)/pt=r. Therefore,
r= (A-1)/pt. Solved.
5. C=5(F-32)/9
can be re written as:
C/1=5(F-32)/9
firstly, we'll cross multiply, 5(F-32) will be multiplied by 1 = C will be multiplied by 9.:
5(F-32)=9C
now, open the bracket:
5F-160=9C
with -160 moving to the other side, it changes sign form - to +:
5F=9C+160
divide both sides by 5:
5F/5=(9C+160)/5
F=(9C+160)/5. Solved
or F= (9C/5) + (160/5)
F= (9C/5) +32. Solved.
6. A= h/2(a+b)
firstly, cross multiply:
h= 2A(a+b). Solved
please try to understand, it makes me remember when i was coming up in maths . Just try, maths is very interesting.
Tip: see, all of these problems require you isolate the unknown, e.g. L, on one side via using math operations. I will do the 1st one for you in detail so you may hopefully learn it and do the rest on your own:
P=2L+2W ; solve for L
- add - 2W to both sides of the equation
P - 2W = 2L + 2W - 2W => the 2Ws equal to zero
- so now you have
P - 2W = 2L
- now divide both sides by 2 to get rid of the coefficient of L-the number preceding it
(P - 2W) / 2 = (2/2) L => 2/2 = 1 in math, you don't write the coefficient of 1
- now divide each term in the parenthesis on the left by 2
P/2 - (2W/2) = L
P/2 - W = L
or
L = P/2 - W
1.P=2L+2W ; solve for L
2L=P-2W
L=P/2-W
2.C=2 pi r; solve for r
r=C/2pi
3.P= 3r+2s; solve for s
2s=P-3r
S=(P-3r)/2
4.A=1+prt; solve for r
prt=A-1
r=(A-1)/pt
5.C= 5(F-32)/ 9 ; solve for F
9C=5(F-32)
9C=5F-160
5F=9C+160
F=(9C+160)/5
F=1.8C+32
6.A= h/2(a+b); solve for h
a)if A= h/2*(a+b);
then
h=2A/(a+b)
b) if A= h/ (2(a+b)); then
h=A*2(a+b)
you do the opposite for each side. opposite of addition is subtraction and opposite of multiplication is division.