Friday, April 18, 2014

Vocabulary Final Review: Quizlet

Vocabulary Final Exam Folder | Quizlet


QUIZ 1: Race

QUIZ 2: Race


QUIZ 3: Race

QUIZ 4: Race

QUIZ 5: Race

/

Wednesday, April 2, 2014

USA Test Prep: Review 2



4. I was thinking about dividing 9 by 3

8. I multiplied the numbers wrong 


13. When i graphed the equation, the graph was in the other direction 
17. I solved the equation instead 

20. While solving the equations, I miscalculated 

USA Test Prep: Review 1

SCORE: 




5. I did not multiply 20.5 x 30.5. I multiplied 20 x 30

9. I multiplied 36 by 75 instead of 3 x 75

 13. I didn't know how to do this problem 

 19. I was thinking of a smaller pool 

Monday, March 24, 2014

Linear Programming


Linear Programming

(Worksheet problems)

#4

Vertices:
 (0,0)
 (0,6)
 (6,0)

Constraints
Objective Function: C= 3x+4y
x ≥ 0
y ≥ 0
x + y ≤ 6
C=3x+4y
C=3(0)+4(0)
C=0
C=3x+4y
C=3(0)+4(6)
C=24
C=3x=4y
C=3(6)+4(0)
C=18




#5 

Vertices:
 (-5,4)
(5, 4)
 (5, 8)

Constraints
Objective Function: C=2x+5y  
x ≤ 5
y ≥ 4
-2x +5 y ≤ 30
C=2x+5y
C=2(-5)+5(4)
C=10
C=2x+5y
C=2(5)+5(4)
C= 30
C=2x+5y
C=2(5)+5(8)
C=50


# 6

Vertices:
 (1, 2)
 (5,2)
 (1,8)

Constraints
Objective Function: C= 7x+3y 
x ≥ 1
y ≥ 2
6x +4 y ≤ 38
C= 7x+3y
C=7(1)+3(2)
C= 13
C=7x+3y
C=7(5)+3(2)
C= 41
C= 7x+3y
C=7(1)+3(8)
C= 31




#7

Vertices:
 (0, 4)
 (0, 8)
 (6, 8)

Constraints
Objective Function: C= 4x+6y 
x ≥ 0
y ≤ 8
-2x + 3y ≥ 12
C= 4x+6y
C=4(0)+6(4)
C= 24
C=4x+6y
C=4(0)+6(8)
C= 48
C= 4x+6y
C=4(6)+6(8)
C= 72



#8

Vertices:
 (0,0)
 (5,0)
 (2,3)
 (0,4)
Constraints
Objective Function: C= 8x+7y
x ≥ 0
y ≥ 0
x + y ≤ 5
C= 8x+7y
C=8(0)+7(0)
C=0
C=8x+7y
C=8(5)+7(0)
C=40
C= 8x+7y
C=8(2)+7(3)
C=37
C= 8x+7y
C=8(0)+7(4)
C=28



#9

Vertices:
 (0,2)
 (3,0)
(4,3) 
 (0,4)
Constraints
Objective Function: C= 3x+5y
x ≥ 0
y ≥ 0
x + y ≤ 5
C= 3x+5y
C=3(0)+5(2)
C=10
C=3x+5y
C=3(3)+5(0)
C= 9
C= 3x+5y 
C=3(4)+5(3)
C=27
C=3x+5y
C=3(0)+5(4)
C=20



Monday, February 17, 2014

Compound Interest Formula

Compound Interest Formula:

formula:

 

P= principal

A= amount

N= number of times per year, interest is compounded

T= time in years

R= rate of interest 

Wednesday, February 5, 2014

Graphing Exponential Growth/Decay

GRAPHING EXPONENTIAL GROWTH/DECAY: 

y= aŸbx-h+k
a= multiplier
         a>1 = stretch 
         0<a<1 = compression 
         a<0 (negative) = flipped over x-axis 
b= base 
         b>1 = GROWTH (always increasing)
         0<b<1 = DECAY (always decreasing) 
h= left/right (opposite) 
k= up/down


Domain

(-∞,∞) = All Real numbers 
Range:     y>k (Positive)
                y<k (Negative) 


Asymptote
y=k

Tuesday, January 28, 2014

General Forms of a Sequence

General Forms Of A Sequence:

~Sequence: series (list) of numbers

~Arithmetic:  sequence of numbers such that the difference between the consecutive terms is constant.
            
             -example-  5,7,9,11,13,15... is an arithmetic sequence with a                               difference of 2.
             -formula-  an=  a1+(n-1)d                    d=an-an-1
                                            d= common difference

~Geometric: sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
             -example-  2,6,18,54... is a geometric sequence with a common                      ratio of 3.
             -formula-  an=a1 x rn-1                                  r= an ÷ an-1
                                                      r= common ratio 

Wednesday, January 15, 2014

Characteristics of Graphs

                                               Characteristics of Graphs:
Domain: x-values

Range: y-values

End Behavior: description of what happens on both ends

Absolute Max/Min: 1 highest/lowest point

Local Max/Min: more than 1 highest/lowest point

Interval of Increase: what happens to a graph(y values) as you move along x-axis if y values are increasing 

Interval of Decrease: what happens to a graph as you move along x-axis if y values are decreasing

X Intercept: (a,o)

Y Intercept: (o,b)

Symmetry: even: symmetric about y-axis
                   odd: symmetric about origin
                   Neither: none

Even/Odd/Neither:  even: symmetric about y-axis
                                 odd: symmetric about origin
                                 Neither: none

Asymptotes: imaginary line that a graph gets closer and closer to but never touch

Function: describing what happens to a graph (function)

One to One: passes both vertical and horizontal line test

                                                          example of a functon (above)