# Shared Flashcard Set

## Details

Formulas
Foruulas for final exam
25
Mathematics
04/28/2009

Term
 Slope
Definition
 Slope = Rise              Run or Slope =     y2 – y1    where  (x 1, y 1) and ( x2, y2) are                    x2 – x 1         points  on the line.
Term
 Slope Intercept Formula
Definition
 Y  = m x + b   where  m= slope  and  b is the y intercept   and (0,b) is the y intercept point
Term
 Point- Slope Formula
Definition
 Y – Y1 = m ( X – X1)          where  ( x1, y1)  is a point on  the line,  m is the slope
Term
 Area of a square
Definition
 Area =  Side * Side
Term
 Perimeter of a square
Definition
 Perimeter = 4 * side
Term
 Area of a rectangle
Definition
 Area rectangle = L * W
Term
 Perimeter of a rectangle
Definition
 Perimeter of a rectangle= 2 L + 2 W
Term
 Area of a Triangle
Definition
 Area of a Triangle= 1  b*h                     2
Term
 Perimeter of a triangle
Definition
 Perimeter of a trangle   Just add up the 3 sides.
Term
 Area of a Parallelogram
Definition
 Area of a Parallelogram= base * height
Term
 Perimeter of a Parallellogram
Definition
 Perimeter of a Parallellogram   Just add up the 4 sides.
Term
 Area of a Trapezoid
Definition
 Area of a Trapezoid = 1 * (b1 + b2) h             2
Term
 Perimeter of a Trapezoid
Definition
 Perimeter of a Trapezoid   Just add up the 4 sides
Term
 Area of a Circle
Definition
 Area of a Circle = pi * r 2
Term
 Perimeter of a Circle The Circumference
Definition
 Circumference = diameter * pi
Term
 Area of a Semi Circle   ( 1/2 of a circle)
Definition
 Area of a Semi Circle  = 1 * pi* r2                       2  ORArea of a Semi Circle  = 0.5 * pi* r2
Term
 Difference of  2 Squares
Definition
 Difference of  2 Squares a2 - b2 = ( a + b) ( a - b)Example x2 - 9 = (x + 3) ( x - 3)
Term
 Difference of 2 Cubes
Definition
 Difference of 2 Cubes   a3 - b3 = ( a- b) ( a2 + ab + b2)Example   x3 - 8 = x3 - 23 = ( x -2) (x2 + 2x + 4)
Term
 Sum of 2 Cubes
Definition
 Sum of 2 Cubes a3 + b3 = (a +b) (a2 - ab + b2) Example x3 + 64 = x3 +43 = ( x+4) (x2 - 4x + 16)
Term
 AC Method for factoring ax2 + bx + c where a ≠0. Factor   2x2+ 7x + 3
Definition
 Steps 1)   Identify a, b, and c. 2)   Find two factors of ac that add to b. 3)   Split the middle term using the two factors you found. 4)   Factor by grouping. Example Factor   2x2+ 7x + 3 Step 1  a = 2, b = 7 c= 3 Step 2  ac = 2 * 3 = 6  b = 7 Factors of 6 are:     Sums of these factors.      2 and 3                 2+3 = 5      1 and 6                 1 + 6 =7 Step 3 Rewrite by splitting the middle term using the factors we found. So 7x = 6x + 1  rewrite 2x2+ 7x + 3 2x2 + 6x + 1x + 3 Step 4 Factor by grouping. =2x2 + 6x + 1x + 3 =2(x+3) +1(x + 3) = (x+3) (2x + 1)  factored form. Or (2x + 1) (x + 3)
Term
 Perfect Square Trinomial a2+2ab+b2 = (a+b)(a+b) =(a+b)2   Factor x2+ 10x+25 =
Definition
 Perfect Square Trinomial a2+2ab+b2 = (a+b)(a+b) =(a+b)2   Example x2+ 10x+25 = (x+5)(x+5) = (x+5)2
Term
 When factoring if you have 4 or more terms you would .. .
Definition
 Factor by Grouping Step 1 Pair up the 1st 2 terms and the last 2 terms. Step 2 Factor each pair. Step 3 Then factor out the binomial. Example Factor  x2 -3x + 2x - 6          = x2 -3x + 2x - 6               = x( x-3) + 2( x-3)           = (x -3) ( x + 2)
Term
 When factoring if you have 3 terms you would .. .
Definition
 Use the AC Method to factor or check for a Perfect Trinomial Square. a2+2ab+b2 = (a+b)(a+b) =(a+b)2 x2+ 10x+25=(x+5)(x+5) = (x+5)2
Term
 When factoring if you have 2 terms you would .. .
Definition
 When factoring if you have 2 terms you would .. .   Check to see if you have one of the following: Difference of 2 Squares Difference of2 Cubes Sum of 2 Cubes
Term
 Circumference of a 1/2 circle
Definition
 C = .5 * diameter * pi
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