SAT math 9 Flashcards
1
Q
natural #
A
positive whole #, not zero
2
Q
whole #
A
zero & positive #
3
Q
integers
A
positive and negative whole #
4
Q
rational
A
fraction, repeating decimal, & terminating decimal
5
Q
irrational
A
non-terminating, not square root, pi
6
Q
real
A
non imaginary
7
Q
4 less than x
A
x-4
8
Q
consecutive
A
n, n+1, n+2
9
Q
consecutive odd/even
A
x, x+2, x+4
10
Q
Calc new price discounted
A
Orig-%(orig)
11
Q
Total w/ sales tax
A
Price+tax%(price of item)
12
Q
compound inequality or
A
2 separate shaded part away
13
Q
compound inequality and
A
one section in meddle shaded
14
Q
inequalities #>x>#
A
isolate variable in the middle,
if divide by negative flip sign
15
Q
inequality graphes
A
put origin in equations, if true then shade that part of it
16
Q
function
A
only one x
verticle line test
17
Q
slope formula
A
y2-y1
x2-x1
18
Q
to find equation of linear (plug it in)
A
y-y1=m(x-x1)
19
Q
linear
A
constant slope
20
Q
exponential
A
no constant slope
find constant ratio: right/left
y=ab^
b=constant ratio
calculate a by subsitution
21
Q
discreeet
A
non continous
some #s
{…}
22
Q
continous
A
all values
23
Q
end behavior
A
as x-_, y-_
24
Q
even function
A
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)
