[5NL] JJ, IP, 3bet pot, river spot.

[seven-deuce]

Does anyone know any websites that will teach you how to move stuff around/manipulate the equation to find what you want? I'm comfortable mixing numbers and letters but i don't know what you can or cannot do to an equation and how to break it down, all i remember from school is if something crosses the equals sign it does the opposite but when iv been trying to figure out some of spoons algebra before this didn't even apply, example of where i get stuck;

B/(B+F) = 0.27
B = 0.27(B+F) so to get this far we take the (B+F) over the '=' sign and it comes multiply as it was divide the other side? Is that right?

B = 0.27B + 0.27F then we multiply out the brackets to get this line

0.73B = 0.27F Now i'm stuck, i just tried squaring it there because i thought theres two B's BxB is Bsquared so we have to square 0.27 as well but i comes out at 0.073 not 0.73? This example is from this thread http://www.flopturnriver.com/pokerfo...rd-192649.html

B = 0.27F/0.73
B = 0.37F

Does anyone know anywhere where i can learn these rules, i think i could learn this pretty easily only i don't know the rules.

[MadMojoMonkey]

Does anyone know any websites that will teach you how to move stuff around/manipulate the equation to find what you want? I'm comfortable mixing numbers and letters but i don't know what you can or cannot do to an equation and how to break it down

Properties_of_Algebra

all i remember from school is if something crosses the equals sign it does the opposite but when iv been trying to figure out some of spoons algebra before this didn't even apply

Better to think of it as: anything you do to one side of the equals sign, you do to the other side as well.
E.g. 2x + 1 = 5
subtract 1 from both sides
2x + 1 - 1 = 5 - 1
simplify
2x = 4
divide both sides by 2
2x/2 = 4/2
simplify
(2/2)x = 2
(1)x = 2
x =2

example of where i get stuck;

B/(B+F) = 0.27
B = 0.27(B+F) so to get this far we take the (B+F) over the '=' sign and it comes multiply as it was divide the other side? Is that right?

Use my prior method.
B/(B+F) = 0.27
multiply both sides by (B+F)
B/(B+F) x (B+F) = 0.27(B+F)
simplify
B x (B+F)/(B+F) = 0.27(B+F)
B x (1) = 0.27(B+F)
B = 0.27(B+F)

B = 0.27B + 0.27F then we multiply out the brackets to get this line

Yes, you applied the distributive property, which is the next step.
B = 0.27B + 0.27F
Then, we're solving for B, so we want all of the B's by themselves on one side of the equation... so we subtract 0.27B from both sides.
B - 0.27B = 0.27B + 0.27F - 0.27B
simplify
B - 0.27B = (0.27B - 0.27B) + 0.27F
B - 0.27B = 0.27F
now use the distributive property in reverse
(1)B - 0.27B = 0.27F <-- just showing the hidden 1 that multiplies, well everything.
(1 - 0.27)B = 0.27F
simplify
0.73B = 0.27F

Now, if we solve for B, we divide both sides by 0.73
0.73B/0.73 = 0.27F/0.73
simplify
(0.73/0.73)B = (0.27/0.73)F
(1)B = (0.37)F
B = 0.37F

EDIT link to hyperphysics

[seven-deuce]

now use the distributive property in reverse
(1)B - 0.27B = 0.27F <-- just showing the hidden 1 that multiplies, well everything.
(1 - 0.27)B = 0.27F
simplify
0.73B = 0.27F

Thanks a million MMM, top drawer stuff.

So if we're solving for B we want to isolate all B's and find the value of one single B? and the reverse of removing brackets is adding brackets, so do we just add the brackets to the multiplication things (terminology fail)

So if we get to the stage in an equation when we have all the B's on one side we have to use the reverse distributive property (add in brackets to breakdown that side of the equation to get us a solvable equation for a single B?

I'm aware the letters change, like if we were solving for x when we get to the stage of having all X's on one side of the equal sign we use reverse distributive proerty to enable us to actually solve for x?

Am i on the right track here?

10/10 post btw all us algebra noobs will learn from this, very instructive.

[spoonitnow]

Does anyone know any websites that will teach you how to move stuff around/manipulate the equation to find what you want? I'm comfortable mixing numbers and letters but i don't know what you can or cannot do to an equation and how to break it down, all i remember from school is if something crosses the equals sign it does the opposite but when iv been trying to figure out some of spoons algebra before this didn't even apply, example of where i get stuck;

B/(B+F) = 0.27
B = 0.27(B+F) so to get this far we take the (B+F) over the '=' sign and it comes multiply as it was divide the other side? Is that right?

B = 0.27B + 0.27F then we multiply out the brackets to get this line

0.73B = 0.27F Now i'm stuck, i just tried squaring it there because i thought theres two B's BxB is Bsquared so we have to square 0.27 as well but i comes out at 0.073 not 0.73? This example is from this thread http://www.flopturnriver.com/pokerfo...rd-192649.html

B = 0.27F/0.73
B = 0.37F

Does anyone know anywhere where i can learn these rules, i think i could learn this pretty easily only i don't know the rules.

You can do anything you want as long as you do the exact same thing to both sides of the equation. That's pretty much all you need to know.

B/(B+F) = 0.27
B = 0.27(B+F)

^ Here we just multiply both sides by (B+F). It appears to "move" to the other side. Here's another example that's a bit more practical:

2x + 5 = 13

The objective is to have x = "a number" so that we just know what x is. Note that 2x just means 2 times x. We can subtract 5 from both sides and get this:

2x = 8

Now we can divide by 2 on both sides and get this:

x = 4

Bingo.