FLASH CARDS

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Card 1: side 1

Definition of set of rational numbers:



Card 1: side 2

Q = {x: x = p/q, and p, q Î Z, q ¹ 0}


Card 2: side 1

Decimal properties of rational and irrational #s

 


Card 2: side 2

If a number is rational, its decimal is terminating or repeating.

If a decimal is non-terminating and non-repeating, the number is irrational.

Card 3: side 1
Without negative exponents:

b-x =

Card 3: side 2
With negative exponents:

                                          

bx =

Card 4: side 1
Without negative exponents:

                             

 

Card 4: side 2
With negative exponents:

                            

 

Card 5: side 1
special products

a3 - b3 =

a3 + b3 =

Card 5: side 2
special factors

(a - b)(a2 + ab + b2) =

(a + b)(a2 - ab + b2) =

Card 6: side 1
special products

a2 + 2ab + b2 =
a2 - 2ab + b2 =
a2 - b2 =

Card 6: side 2
special factors

(a + b)2 =
(a - b)2 =
(a + b)(a - b) =

Card 7: side 1
Quadratic formula

Solution for ax2 + bx + c = 0

Card 7: side 2
Quadratic formula

                     

Card 8: side 1
Sum and product of roots of ax2 + bx + c = 0

r1 + r2  =
r1 · r2 =

Card 8: side 2
Sum and product of roots of ax2 + bx + c = 0

-b/a  =
c/a =

Card 9: side 1

   Equation of circle, center (h, k), radius = r
   Equation of circle, center at origin, radius = r
  

Card 9: side 2

        (x - h)2 + (y - k)2 = r2
        x2 + y2 = r2
       

Card 10: side 1

   Formula for radian measure
in terms of q, r, and s

                     Card 10: side 2

                          | q | = s/r
       

Card 11: side 1

   Two equations of unit circle, center at origin


                     Card 11: side 2

         1.  x2 + y2 = 1
         2.  sin2q + cos2q = 1

Card 12: side 1

  The Quotient Identities


                     Card 12: side 2

         1.  tanq = sinq / cosq
         2.  cotq = cosq / sinq

Card 13: side 1

  The three Pythagorean Identities



                     Card 13: side 2

         1.  sin2q + cos2q = 1
         2.  tan2q + 1 = sec2q
         3.  cot2q + 1 = csc2q

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