SAT math 9 Flashcards Preview

11th grade > SAT math 9 > Flashcards

Flashcards in SAT math 9 Deck (88):
1

natural #

positive whole #, not zero

2

whole #

zero & positive #

3

integers

positive and negative whole #

4

rational

fraction, repeating decimal, & terminating decimal

5

irrational

non-terminating, not square root, pi

6

real

non imaginary

7

4 less than x

x-4

8

consecutive

n, n+1, n+2

9

consecutive odd/even

x, x+2, x+4

10

Calc new price discounted

Orig-%(orig)

11

Total w/ sales tax

Price+tax%(price of item)

12

compound inequality or

2 separate shaded part away

13

compound inequality and

one section in meddle shaded

14

inequalities #>x>#

isolate variable in the middle,
if divide by negative flip sign

15

inequality graphes

put origin in equations, if true then shade that part of it

16

function

only one x
verticle line test

17

slope formula

y2-y1
x2-x1

18

to find equation of linear (plug it in)

y-y1=m(x-x1)

19

linear

constant slope

20

exponential

no constant slope
find constant ratio: right/left
y=ab^

b=constant ratio
calculate a by subsitution

21

discreeet

non continous
some #s
{...}

22

continous

all values

23

end behavior

as x-_, y-_

24

even function

symetry y axis
f(-x)=f(x)
y stays the same
even exponents

25

odd function

symmetry about origin
f(-x)= -f(x)
switch signs for both
odd exponents

26

P(1+r/n)^nt

P=starting amount
n=# compounded per year

find t= divide by P, put in graph calc as 2 equations & intersect

27

y=a(1+r)^t

y=a(1-r)^t

28

arithmetic recursive

an=an-1 +d, where a1=__

29

arithmetic

an=a1 + d (n-1)

a1= first term
n=th term
d= right-left

30

geometric recursive

an=an-1 x r, where a1= __

31

geometric equation

an=a1 x R ^n-1

32

mean absolute variation

mean-# /# of #s

33

fence on box plot

Q1-1.5(IQR)
Q3+1.5(IQR)
if outside=outlier
bigger/loonger side=skewed

34

R for equation

-1

35

linear eqaution

ax+b

36

residual scatterplot

if pattern=line best fit not good
y-predicted y

37

marginal prob

row total
total

38

joint prob

body value (one box)
total

39

conditional

one boc
row total

40

prob

given: in that row

41

reflection over line y=A

(x, 2A-y)

42

reflect over verticle line x=A

(2A-x, y)

43

rotation

counter
90 (-y,x)
180 (-y,-y)
270 (y,-x)

clockwise
270
180
90

44

longer side theorem
larger angle theorem

one side is longest, angle opp is largest

45

transitive property

if a=b, b=c then a=c

46

perpendicular bisector theorem

a point of a perpendicular bisector is equidistant from end points of the other segment

47

base angle theorem

if 2 sides of ^ congruent, angle opposite them are congruent

48

congruent triangle proofs

SSS, SAS, ASA, HL

49

Parallelogram

opp sides parallel/congruent
opp angles congruent
consective angle supplementary
diagonals bisect

50

prove parallelogram

2 opp side parallel
2 opp side congruent
2 opp angles congruent
1 opp side congruent n parallel
diagonals bisect

51

kites

2 consect congru sides
opp sides not congruent
1 opp angle congruent
longer diag bisect vertex angles n perpendic bisct of short diag

52

prov kite

2 consec congruent side
1 diag perpen bisect of other

53

trapezoids

1 parallel sides
lowe angle and consec upper: supplementary

base: parallel sides
leg: non parall sides
midseg: connects midpoint of legs

54

trapezoid midsegment

parallel to base n base+base then divided by 2

55

isoceles trapezoid

legs congruent
base angle congruent 2
pairs
diagonals are congruent

56

proveing isosceles trapezoid

leg congruent
a pair of angle congruent
diagonal congruent

57

triangle with side 14 n 10, 3rd size?

x+10>14
10=14>x

58

if and if

can switch order & b true

59

equilateral triangle

3 congruent sides n 3 congruent angles

60

isosceles triangle

2 congruent sides
base: non congruent side

61

base angle theorem

2 side congruent= angles opp are congruent

62

similar triangles

AA
SSS
SAS

angle congruent
side are proportional

63

angle bisector

ray divide an angle into 2 congruent angles

64

incenter

3 angle bisector intersect at that point
equidistant from side and perpendicular

65

incircle

center: incenter
inside triangle

66

perpendicular bisector

a line is perpendicular to a segment at its midpoint

67

circumcenter

3 perpendicular bisector
equidistant from vertices,

68

circumcircle

outside

69

median

segment endoint at vertex and midpoint of opp side

70

centroid

3 median
vertex-point: 2x
point-midpoint: x

inside

71

altitude

vertex to opp side at perpendicular

72

orthocenter

altitude

73

chord

segment in circle

74

secant

intersects circle

75

tangent

intersect circle at one point

76

central angle

vertex at center

77

arc

major: more than 180, 3 letters
minor: less than 180: 2 letters

78

inscribe angle

vertex on circle
has intercepted arc

79

inscribed polygon

in circumscribed circle circle

80

equality property

+/- a # to both side of equation, expression will remain equal

81

triangle proportionality theorem

if line divides 2 side of triangle proportionaly, then it is parallel to third side

82

bisect

2 equal parts

83

CPCTC

to prove one angle/side congruent then porve triangle congruent then use it

84

corresponding angles

same position

85

alternate interior angle

alternate exterior angle

86

same side interior anfle

=180

87

angle

arc measure

88

arcs congruent

if it has same degree in congruent circle (same radii)