Math Sat

memorize memorize memorize

no solutions

same slope/ diff y int

one solution

[diff solution/ diff y int]

infinite solutions

same slope/ same y int

point slope formula

y-y1=m(x-x1)

m-u=12

u is 12 inches shorter

u-m=12

m is 12 inches shorter

j-8=k

k scored 8 fewer points than j

highest value of a data set is removed?

range decreases, mean decreases

smallest value of a data set is removed?

range decreases, mean increases

low SD

data points close to the mean

high SD

data points spread out from the mean

symmetric graph

mean=median

skewed left graph

median> mean

skewed right graph

median<mean

data sets with larger ranges typically have….

a larger standard deviation

smaller margin of error

double/large random sample

square of sum

a²+2ab+b²=(a+b)²

square of differences

a²-2ab+b²=(a-b)²

difference of squares

a²-b²=(a-b)(a+b)

x^a (x^b)

x^a+b

x^a/x^b

x^a-b

(x^a)b

x^ab

x^-a

1/x^a

x^n/y^n

(x/y)ⁿ

-f(x)

y axis reflection(x,y) → (-x,y)

f(-x)

x-axis reflection (x,y) → (x,-y)

quadratic formula

2 real solutions with discriminant formula

b²-4ac>0

1 real solution with discriminant formula

b²-4ac=0

0 real solutions with discriminant formula

b²-4ac<0

n<m

horiz. asymptote @ y=0

n=m

horiz. asymptote @ y=a/b

n>m

no horiz. asymptote

vertical asymptote

bottom equation set equal to 0

hole

factor that cancels out on the top and bottom

Population growth and decline

P(t)= P₀r^t

Compounding interest (accumulate on top of previous amounts)

P(t)= P₀(1+r)^t

changing time units in exponential equation

larger to smaller= divide

changing time units in exponential equation

smaller to larger = multiply

f(cx)

stretched horizontally by a factor of c or 1/c

shifting horizontal asymptote f(x)=b^x+d

y→∞ y→d

surface area of cube

6s²

area of a cube

s³

surface area of a cylinder

2πr²+2πrh

Surface area of rectangular prism

2(lw+wh+lh)

Surface area of a cone

πr²+πrl

Surface area of a sphere

4πr²

Sum of interior angles

(n-2)(180)

length of square / radius of cylinder or cone changes by factor

area/volume changes by square of the factor

central angle

/360

arc length

/circumference

sector/

area

Area of a circular sector

1/2(θ)r²

arc length

s=rθ