SAT math 9 Flashcards
natural #
positive whole #, not zero
whole #
zero & positive #
integers
positive and negative whole #
rational
fraction, repeating decimal, & terminating decimal
irrational
non-terminating, not square root, pi
real
non imaginary
4 less than x
x-4
consecutive
n, n+1, n+2
consecutive odd/even
x, x+2, x+4
Calc new price discounted
Orig-%(orig)
Total w/ sales tax
Price+tax%(price of item)
compound inequality or
2 separate shaded part away
compound inequality and
one section in meddle shaded
inequalities #>x>#
isolate variable in the middle,
if divide by negative flip sign
inequality graphes
put origin in equations, if true then shade that part of it
function
only one x
verticle line test
slope formula
y2-y1
x2-x1
to find equation of linear (plug it in)
y-y1=m(x-x1)
linear
constant slope
exponential
no constant slope
find constant ratio: right/left
y=ab^
b=constant ratio
calculate a by subsitution
discreeet
non continous
some #s
{…}
continous
all values
end behavior
as x-_, y-_
even function
symetry y axis
f(-x)=f(x)
y stays the same
even exponents
odd function
symmetry about origin
f(-x)= -f(x)
switch signs for both
odd exponents
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
y=a(1+r)^t
y=a(1-r)^t
arithmetic recursive
an=an-1 +d, where a1=__
arithmetic
an=a1 + d (n-1)
a1= first term
n=th term
d= right-left
geometric recursive
an=an-1 x r, where a1= __
geometric equation
an=a1 x R ^n-1
mean absolute variation
mean-# /# of #s
fence on box plot
Q1-1.5(IQR)
Q3+1.5(IQR)
if outside=outlier
bigger/loonger side=skewed
R for equation
-1
linear eqaution
ax+b
residual scatterplot
if pattern=line best fit not good
y-predicted y
marginal prob
row total
total
joint prob
body value (one box) total
conditional
one boc
row total
prob
given: in that row
reflection over line y=A
(x, 2A-y)
reflect over verticle line x=A
(2A-x, y)
rotation
counter
90 (-y,x)
180 (-y,-y)
270 (y,-x)
clockwise
270
180
90
longer side theorem
larger angle theorem
one side is longest, angle opp is largest
transitive property
if a=b, b=c then a=c
perpendicular bisector theorem
a point of a perpendicular bisector is equidistant from end points of the other segment
base angle theorem
if 2 sides of ^ congruent, angle opposite them are congruent
congruent triangle proofs
SSS, SAS, ASA, HL
Parallelogram
opp sides parallel/congruent
opp angles congruent
consective angle supplementary
diagonals bisect
prove parallelogram
2 opp side parallel 2 opp side congruent 2 opp angles congruent 1 opp side congruent n parallel diagonals bisect
kites
2 consect congru sides
opp sides not congruent
1 opp angle congruent
longer diag bisect vertex angles n perpendic bisct of short diag
prov kite
2 consec congruent side
1 diag perpen bisect of other
trapezoids
1 parallel sides
lowe angle and consec upper: supplementary
base: parallel sides
leg: non parall sides
midseg: connects midpoint of legs
trapezoid midsegment
parallel to base n base+base then divided by 2
isoceles trapezoid
legs congruent
base angle congruent 2
pairs
diagonals are congruent
proveing isosceles trapezoid
leg congruent
a pair of angle congruent
diagonal congruent
triangle with side 14 n 10, 3rd size?
x+10>14
10=14>x
if and if
can switch order & b true
equilateral triangle
3 congruent sides n 3 congruent angles
isosceles triangle
2 congruent sides
base: non congruent side
base angle theorem
2 side congruent= angles opp are congruent
similar triangles
AA
SSS
SAS
angle congruent
side are proportional
angle bisector
ray divide an angle into 2 congruent angles
incenter
3 angle bisector intersect at that point
equidistant from side and perpendicular
incircle
center: incenter
inside triangle
perpendicular bisector
a line is perpendicular to a segment at its midpoint
circumcenter
3 perpendicular bisector
equidistant from vertices,
circumcircle
outside
median
segment endoint at vertex and midpoint of opp side
centroid
3 median
vertex-point: 2x
point-midpoint: x
inside
altitude
vertex to opp side at perpendicular
orthocenter
altitude
chord
segment in circle
secant
intersects circle
tangent
intersect circle at one point
central angle
vertex at center
arc
major: more than 180, 3 letters
minor: less than 180: 2 letters
inscribe angle
vertex on circle
has intercepted arc
inscribed polygon
in circumscribed circle circle
equality property
+/- a # to both side of equation, expression will remain equal
triangle proportionality theorem
if line divides 2 side of triangle proportionaly, then it is parallel to third side
bisect
2 equal parts
CPCTC
to prove one angle/side congruent then porve triangle congruent then use it
corresponding angles
same position
alternate interior angle
alternate exterior angle
same side interior anfle
=180
angle
arc measure
arcs congruent
if it has same degree in congruent circle (same radii)
