MAF

  1. How do you draw a graph of
    4x-3y=-24 ?
    • INTERCEPT METHOD,
    • set both values to zero
  2. 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

    • 6x+2Y=6
    • x-4y=44

    the Y will add up, only if they were positive and negative, so multiply by a 2.

    • 2y
    • -2y

    cancel

    solve for X,

    • plug it in to the other equation.
    • solve for Y
  3. 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
  4. 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)
  5. 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) - (x2+4x-5)

    • CHANGE THE SIGNS,
    • then proceed to combine/do operations
  6. When you see

    (3x-5) - (x2+4x-5)

    what should you do?
    Use the subtraction to flip the 2nd equation
  7. expand

    (5x-7y)2
    use the exponent to split it into 2

    (5x-7Y) (5x-7Y)

    then FOIL
  8. 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

    x2-xy-yx+y2 - (x2+xy+xy+y2)

    then combine
  9. 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

    • x+y=150
    • x-y=90

    add them together,

    • 2x=240
    • x=120
  10. simplify

    (5-2+3-1)-1
    (5-2+3-1)-1

    First, change it into positive using the formula

    • a-2 = 1
    • --
    • 2a


    • so...
    • (5-2+3-1)-1
    • 1 1 -1
    • - + -
    • 25 13
    • Then solve what's inside
  11. simplify:

    (x7y4z8) 3
    ----------
    x2y5z4
    move apples with apples,

    • x5 z4 3
    • -------
    • Y

    then apply the exponent
  12. 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

    6.342593x104

    left is positive

    right is negative
  13. 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
  14. Factorize
    x3+72+6x
    Take out the x

    x(x2+7x+6)

    then do the A C method


    • x(x2+7x+6)
    • ^

    What can multiply to 6 and equal to 7? 6+1

    x(2x+6x+x+6)

    x(2x+6x)(x+6)

    2x2(1+3x)(x+6)
  15. factor
    (25-Y2)
    find the square of the number

    52 - Y2

    then split it

    (5-y)(5+y)

  16. Solve
    x2-16=0
    • x2-16=0
    • ^
    • what 2 numbers equal 16
    • Now factor

    (x+4)(x-4)
  17. Solve
    x(x-1)=2
    • x(x-1)=2
    • distribute

    • x2-x-2=0
    • AC method will work.
    • x-2)(x+1)=0

    • Set them both to 0
    • x=2 x=-1
  18. What is the quadratic formula?
    • X=-B plus or minus(+ or -) square root B2-4AC
    • ---------------------------------------------------------------
    • 2A

    • X=-B(+or-)squaroot(B2-4AC)
    • 2A
  19. How do you use the Quad formula?

    X+x2+x3
    A+B+C, fill it in, solve
Author
Anonymous
ID
79582
Card Set
MAF
Description
7,8,9
Updated