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11th grade > SAT math 9 > Flashcards

SAT math 9 Flashcards

1
Q

natural #

A

positive whole #, not zero

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2
Q

whole #

A

zero & positive #

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3
Q

integers

A

positive and negative whole #

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4
Q

rational

A

fraction, repeating decimal, & terminating decimal

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5
Q

irrational

A

non-terminating, not square root, pi

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6
Q

real

A

non imaginary

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7
Q

4 less than x

A

x-4

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8
Q

consecutive

A

n, n+1, n+2

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9
Q

consecutive odd/even

A

x, x+2, x+4

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10
Q

Calc new price discounted

A

Orig-%(orig)

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11
Q

Total w/ sales tax

A

Price+tax%(price of item)

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12
Q

compound inequality or

A

2 separate shaded part away

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13
Q

compound inequality and

A

one section in meddle shaded

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14
Q

inequalities #>x>#

A

isolate variable in the middle,

if divide by negative flip sign

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15
Q

inequality graphes

A

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

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16
Q

function

A

only one x

verticle line test

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17
Q

slope formula

A

y2-y1

x2-x1

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18
Q

to find equation of linear (plug it in)

A

y-y1=m(x-x1)

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19
Q

linear

A

constant slope

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20
Q

exponential

A

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

b=constant ratio
calculate a by subsitution

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21
Q

discreeet

A

non continous
some #s
{…}

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22
Q

continous

A

all values

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23
Q

end behavior

A

as x-_, y-_

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24
Q

even function

A

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

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25
Q

odd function

A

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

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26
Q

P(1+r/n)^nt

A

P=starting amount
n=# compounded per year

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

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27
Q

y=a(1+r)^t

A

y=a(1-r)^t

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28
Q

arithmetic recursive

A

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

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29
Q

arithmetic

A

an=a1 + d (n-1)

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

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30
Q

geometric recursive

A

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

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31
Q

geometric equation

A

an=a1 x R ^n-1

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32
Q

mean absolute variation

A

mean-# /# of #s

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33
Q

fence on box plot

A

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

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34
Q

R for equation

A

-1

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35
Q

linear eqaution

A

ax+b

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36
Q

residual scatterplot

A

if pattern=line best fit not good

y-predicted y

37
Q

marginal prob

A

row total

total

38
Q

joint prob

A 
body value (one box)
total
39
Q

conditional

A

one boc

row total

40
Q

prob

A

given: in that row

41
Q

reflection over line y=A

A

(x, 2A-y)

42
Q

reflect over verticle line x=A

A

(2A-x, y)

43
Q

rotation

A

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

clockwise
270
180
90

44
Q

longer side theorem

larger angle theorem

A

one side is longest, angle opp is largest

45
Q

transitive property

A

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

46
Q

perpendicular bisector theorem

A

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

47
Q

base angle theorem

A

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

48
Q

congruent triangle proofs

A

SSS, SAS, ASA, HL

49
Q

Parallelogram

A

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

50
Q

prove parallelogram

A 
2 opp side parallel 
2 opp side congruent
2 opp angles congruent
1 opp side congruent n parallel
diagonals bisect
51
Q

kites

A

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

52
Q

prov kite

A

2 consec congruent side

1 diag perpen bisect of other

53
Q

trapezoids

A

1 parallel sides
lowe angle and consec upper: supplementary

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

54
Q

trapezoid midsegment

A

parallel to base n base+base then divided by 2

55
Q

isoceles trapezoid

A

legs congruent
base angle congruent 2
pairs
diagonals are congruent

56
Q

proveing isosceles trapezoid

A

leg congruent
a pair of angle congruent
diagonal congruent

57
Q

triangle with side 14 n 10, 3rd size?

A

x+10>14

10=14>x

58
Q

if and if

A

can switch order & b true

59
Q

equilateral triangle

A

3 congruent sides n 3 congruent angles

60
Q

isosceles triangle

A

2 congruent sides

base: non congruent side

61
Q

base angle theorem

A

2 side congruent= angles opp are congruent

62
Q

similar triangles

A

AA
SSS
SAS

angle congruent
side are proportional

63
Q

angle bisector

A

ray divide an angle into 2 congruent angles

64
Q

incenter

A

3 angle bisector intersect at that point

equidistant from side and perpendicular

65
Q

incircle

A

center: incenter

inside triangle

66
Q

perpendicular bisector

A

a line is perpendicular to a segment at its midpoint

67
Q

circumcenter

A

3 perpendicular bisector

equidistant from vertices,

68
Q

circumcircle

A

outside

69
Q

median

A

segment endoint at vertex and midpoint of opp side

70
Q

centroid

A

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

inside

71
Q

altitude

A

vertex to opp side at perpendicular

72
Q

orthocenter

A

altitude

73
Q

chord

A

segment in circle

74
Q

secant

A

intersects circle

75
Q

tangent

A

intersect circle at one point

76
Q

central angle

A

vertex at center

77
Q

arc

A

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

78
Q

inscribe angle

A

vertex on circle

has intercepted arc

79
Q

inscribed polygon

A

in circumscribed circle circle

80
Q

equality property

A

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

81
Q

triangle proportionality theorem

A

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

82
Q

bisect

A

2 equal parts

83
Q

CPCTC

A

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

84
Q

corresponding angles

A

same position

85
Q

alternate interior angle

A

alternate exterior angle

86
Q

same side interior anfle

A

=180

87
Q

angle

A

arc measure

88
Q

arcs congruent

A

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

11th grade (59 decks)

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