
How do you draw a graph of
4x3y=24 ?
 INTERCEPT METHOD,
 set both values to zero

how do you solve:
x/2+y/3=1
x/4y=11
What kind of problem is it?
simultaneous equation
First, find the LCD to get rid of the fractions
x/2+y/3=1
becomes
6(x/2+y/3=1)
multiply by the least common denominator then cross divide.
equaling
2x+2y=6
do the same for the second
x/4y=11
 multiply for the LCD
 then cross divide, equalling:
x4y=44
then line each equation up and see which variables will cancel each other
the Y will add up, only if they were positive and negative, so multiply by a 2.
cancel
solve for X,
 plug it in to the other equation.
 solve for Y

To solve
x/2+y/3=1
x/4y=11
since it has an equal sign,
what should u remember to do?
Do what ever operation to both sides

How many pounds of candy should there be?
3.75 5
 
x 35
set up the equation
3.75+5(35)= ( x+35) (4.25)
multiply by a hunnet
375x + 5(35)(100)=(0+35)(425)

Subtract the sum of 5x+3 & x^{2}x8 from 3x5
 first, line them up and subtract,
 FOLLOW THE FLOW
sum= subtract
 x^{2}x8
 5x+3
 
 x^{2}+45
now the 2nd part, subtract
(3x5)  (x ^{2}+4x5)
 CHANGE THE SIGNS,
 then proceed to combine/do operations

When you see
(3x5)  (x2+4x5)
what should you do?
Use the subtraction to flip the 2nd equation

expand
(5x7y)^{2
}
use the exponent to split it into 2
(5x7Y) (5x7Y)
then FOIL

Simplify
(xy)^{2}  (xy)^{2}
In order to simplify, you must first split them
 (xy)(xy)(x+y)(x+y)
 then foil
x ^{2}xyyx+y ^{2}  (x ^{2}+xy+xy+y ^{2})
then combine

Plane travels 150MPH with a head wind at 90 miles per hour, with a tail wind, what is the current speed?
Set it up,
 You want to find current speed,
 you don't know it so
 current speed = X
speed of wind= Y
tail wind= x+y
head wind is= xy
add them together,

simplify
(5^{2}+3^{1})^{1 }
(5 ^{2}+3 ^{1}) ^{1 }
First, change it into positive using the formula
 so...
 (5^{2}+3^{1})^{1 }
 1 1 1
  + 
 2^{5 }1^{3}
 Then solve what's inside

simplify:
(x^{7}y^{4}z^{8}) ^{3}

x^{2}y^{5}z^{4}
move apples with apples,
then apply the exponent

What is the scientific notation of
63425.93
first move the decimal creating a number from 110
 63425.93
 <
 the number of times you move create the number
6.342593x10 ^{4}
left is positive
right is negative

Simplify using scientific notion
(.24)(5000)

.066
 make it a number from 110
 the number of decimal counts determine the positive or negative
 2.4x10^{1} x 5x10^{}
 6x103

Factorize
x^{3}+7^{2}+6x
Take out the x
x(x ^{2}+7x+6)
then do the A C method
What can multiply to 6 and equal to 7? 6+1
x(2x+6x+x+6)
x(2x+6x)(x+6)
2x ^{2}(1+3x)(x+6)

factor
(25Y^{2})
find the square of the number
5^{2}  Y^{2
then split it
(5y)(5+y)
}

Solve
x^{2}16=0
 x^{2}16=0
 ^
 what 2 numbers equal 16
 Now factor
(x+4)(x4)

Solve
x(x1)=2
 x^{2}x2=0
 AC method will work.
 x2)(x+1)=0
 Set them both to 0
 x=2 x=1

What is the quadratic formula?
 X=B plus or minus(+ or ) square root B^{2}4AC
 
 2A
 X=B(+or)squaroot(B24AC)
 2A

How do you use the Quad formula?
X+x2+x3
A+B+C, fill it in, solve

