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Prime
who numbers greater than 1 (odd)
Composite
multiples of a number are not 1 (even aside from 2)
is 1 prime or composite
neither
match these words up: dividend, divsor, quotient
dividend/divisor=quotient
direction of scientific notation negative
to the left
direction of scientific notation positive
to the right
How to find a percent of a cost
whole number x percent
percent change in pay formula
(new pay - old pay) /old pay
rational number
fraction
irrational number
decimal or mixed number
midpoint formula
distance formula
1 acre is how many sq yards
4840 sq yards
transversal line
line that intersects 2 or more lines at distinct points
concurrent lines
3 or more lines at a specific point
perpendicular lines
forms right angle
noncolliner points
points that aren’t 3 in a row
congruent angle
always vertical
supplementary angle
either of two angles whose sum is 180°.
how many sides does a dodecagon have
12 sides
interior angle of a regular decagon formula
(n-2) x 180 /10
Concave Angle
A concave angle is greater than 180° but less than 360°.
It “caves in” if you imagine the shape bending inward.
Convex Angle
A convex angle is less than 180°.
It “bulges outward” and is the type of angle you usually see in triangles and most polygons.
are a of hexagon formula
A = ½ ap
perimeter to plug (12V3)
find the amount of diagnols in dodecagon
n(n-3)/2
line of symmetry
any line that goes straight through the middle
Area of Triangle
A = 1/2 b h
Circumcenter
point of concurrency of the perpendicular bisectors of the sides of a triangle
Incenter
angle bisectors
Centroid
medians
Orthocenter
altitude
obtuse angle
greater than 90 degrees
scalene triangle
3 unequal sides
isosceles triangle
two sides of equal length and the third side a different length
Triangle equality therom
sum of two shorter sides must be greater than longest side
ASA (Angle-Side-Angle)
Needs two angles and the side between them.
SSA (Side-Side-Angle)
Two sides and a NON-included angle
SAS (Side-Angle-Side)
Two sides and the INCLUDED angle
Area of trapezoid
A = ½ (b1 + b2) h
Perimeter of trapezoid
P=2(a+b)
a is the top
b is the side/height
area of a circle
A=A = πr²
circumfrence of a circle
C = πd
C = 2πr
90 degrees moves where on a graph clockwise
right and down
180 degrees moves
flips across origin
45 degrees moves
diagnolly
90 degrees counterclockwise moves
left and up
reflection
mirror
rotation
turn
translation
slide
dilation
resize
volume of a sphere
V = 4/3 π r³
surface area of a rectangular prism
prisim=2(wL+hL+hw)
surface area of a cylinder
2πr² + 2πrh
Volume of a pryramid
1/3(B)(H)
prythagorean therom is what and what is it used for
to find a missing length of a triangle
a2 and b2 = legs c2= hypotenuse
a2+b2=c2
have to take the square root on both sides at the end to get rid of exponent
how to find the slope of the line when given 15x-5y=20
isolate y and whatever x is left is m
y=mx+b
watch a video on inequalities
when solving and graphing inequalities what happens
divide by negative sign the sign gets switched
u must draw the arrow in the direction is is pointing in
you put a circle over the number
the circle is filled in if its greater than equal to sign and an open circle if just greater than
elimination method of system of equations
requires you to have the same number to cross cancel and u will do that both for x and y
Quadratic Formula
x=(-b sq root b²-4ac )/2a
parabola that opens up and down
(x-h)
p>o opens up
p<o opens down
parabola that opens left and right
(y-k)
p>o right
p<o left
how to find range of function
plug in each number
find domain of a fraction how
use denominator
census
collection of data for the whole population.
sample
collection of data for a part of the population.
parameter
value calculated from a census
statistic
is a value calculated from a sample
Given that 25% of 200 is 50,
of means what
multiply
5 is 10% of what number?
is means what
divide and the percentage is usually the divider
A $250 stereo is discounted 18%. Find the new sale price.
1. Convert 18% to a decimal (divide by 100 or moving the decimal 2 places to the left) = 0.18 2. 0.18 X $250 = $45 3. Subtract the discounted amount from the original cost: $250 − $45 = $205
A $230 camera is sold to a consumer who must pay 8.5% sales tax. Find the price with tax.
1. Convert 8.5% to a decimal (0.085) 11 2. 0.085 X $230 = $19.55 (this is the tax amount) 3. Add the tax to the original cost to find the total cost: $19.55 + $230 = $249.55
My little brother grew from 60 to 66 inches in the last year. What percentage increase is this?
1. The amount of increase is 6 inches – this will be the numerator 2. The original height is 60 inches – this will be the denominator. 3. Change the fraction to a percentage. 6 60 = 0.1 X 100 = 10%. Therefore, the brother’s height increased by 10%
12 > −2x
Add 2x to both sides. 2x + 12 > 0 Subtract 12 from both sides. 2x > −12 Divide both sides by 2. x > −6 An alternate approach is to change the inequality sign when you multiply or divide by a negative number. Here’s how that could be done, starting at the same step shown above. 12 > -2x Divide both sides by 2. 6 > -x Divide both sides by -1 and change the direction of the inequality sign