SAT Math
Regular Polygon - One exterior angle
360/n
Complementary
90
Third Side Theorem
A + B is greater than c
Quartely Interest
A = P (1+x/100/4) to the 4t power
Exponential Growth - Double in every n days
A = P times (2) to the t/n
Exponential Growth - x% increasing
A = P(1+x/100) to the t power
Exponential Decay - x% decreasing
A = P(1-x/100) to the t power
In a system of equations if two lines are identical how many solutions are there
Infinitely many solutions
Box Plot
Line = Median Ends = Minimum and Maximum points (Range)
If there is a bigger sample what happens to the margin of error
Margin of error decreases
If there is a smaller sample what happens to the margin of error
Margin of error increases
Percent change
New-Original/Original x 100
In a system of equations if two lines are parallel how many solutions are there
No Solutions
Vertex angle relation
Opposite angles are equal
Probability of A or B
P(a) + P(b) - P(a or b)
Exponential Relation for graph
Percent Increasing
Proportions
a/b=c/d then cross multiply
How many solutions if graph intercepts x axis twice
Two Solutions
Isosceles Triangle
Two equal sides (Base angles equal)
Product in quadratic equation
c/a
Distance Formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Equilateral triangle Height
square root of 3/2 times a
Equilateral triangle area
square root of 3/4 times a squared
Slope Intercept form
y=mx+b m - Slope b - y-intercept
Sum of interior angles
180 (n-2)
Regular Polygon - One interior angle
180 (n-2) over n
Infinitley many solutions
1=1
No solution
2=4
How many things/people should be in a survey sample size
At least. 60 people
Distance relation with rate and time
D = R times T
Standard Deviation
How much spread out the data is from the mean
Axis of symmetry
-b/2a
Sum in quadratic equation
-b/a
Supplementary
180
Sum of exterior angles
Always 360
Compound Interest - Years
Same as exponential growth x% increasing
Perpendicular Slopes
Slope = m Perpendicular Slope: -1/m Negative Reciprocal
Exterior Angle theorem
Sum of 2 farther interior angles is equal to the exterior angle
Median if there is an even number of data points
Sum of two median points/2