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How do you draw a graph of
4x-3y=-24 ?
- INTERCEPT METHOD,
- set both values to zero
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how do you solve:
x/2+y/3=1
x/4-y=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/4-y=11
- multiply for the LCD
- then cross divide, equalling:
x-4y=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
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To solve
x/2+y/3=1
x/4-y=11
since it has an equal sign,
what should u remember to do?
Do what ever operation to both sides
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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)
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Subtract the sum of 5x+3 & x2-x-8 from 3x-5
- first, line them up and subtract,
- FOLLOW THE FLOW
sum= subtract
- x2-x-8
- 5x+3
- ---------------
- x2+4-5
now the 2nd part, subtract
(3x-5) - (x 2+4x-5)
- CHANGE THE SIGNS,
- then proceed to combine/do operations
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When you see
(3x-5) - (x2+4x-5)
what should you do?
Use the subtraction to flip the 2nd equation
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expand
(5x-7y)2
use the exponent to split it into 2
(5x-7Y) (5x-7Y)
then FOIL
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Simplify
(x-y)2 - (x-y)2
In order to simplify, you must first split them
- (x-y)(x-y)-(x+y)(x+y)
- then foil
x 2-xy-yx+y 2 - (x 2+xy+xy+y 2)
then combine
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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= x-y
add them together,
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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
- - + -
- 25 13
- Then solve what's inside
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simplify:
(x7y4z8) 3
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x2y5z4
move apples with apples,
then apply the exponent
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What is the scientific notation of
63425.93
first move the decimal creating a number from 1-10
- 63425.93
- <------
- the number of times you move create the number
6.342593x10 4
left is positive
right is negative
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Simplify using scientific notion
(.24)(5000)
---------------
.066
- make it a number from 1-10
- the number of decimal counts determine the positive or negative
- 2.4x10-1 x 5x10-------------
- 6x10-3
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Factorize
x3+72+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)
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factor
(25-Y2)
find the square of the number
52 - Y2
then split it
(5-y)(5+y)
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Solve
x2-16=0
- x2-16=0
- ^
- what 2 numbers equal 16
- Now factor
(x+4)(x-4)
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Solve
x(x-1)=2
- x2-x-2=0
- AC method will work.
- x-2)(x+1)=0
- Set them both to 0
- x=2 x=-1
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What is the quadratic formula?
- X=-B plus or minus(+ or -) square root B2-4AC
- ---------------------------------------------------------------
- 2A
- X=-B(+or-)squaroot(B2-4AC)
- 2A
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How do you use the Quad formula?
X+x2+x3
A+B+C, fill it in, solve
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