SAT math

Slope formula

Y = Mx + b

Distance traveled formula

Rate * Time

Time formula

Distance/rate

Systems trick

Ax + By = C

D(x) + Ey = F

no solution for systems trick

A/D = B/E ≠ C/F

Infinite solutions to system

A/D = B/E = C/F

Finding B in quad equation

Y = Ax² + bx + c

What does C in y= Ax² + Bx + c

y-int

X-coord of vertex equation

x = -b/2a

Deviation

Distance between numbers that make up average in data set

Higher deviation = bigger difference between numbers making up average

Percent formula

Percent = Part/100

Percent increase/decrease formula

\frac{old-new}{old}\cdot100

Increase by a percent formula

multiply by (1 +r)

r = decimal percent (1.04 = 4% inc)

Decrease by a percent formula

multiply by (1 - r)

Interest formula

A = P(1 +rt)

T = time

P = initial amount

Interest compounded annually

A = P(A + R)^t

Interest compounded x times per year

A=P\left(1+\frac{r}{n}\right)^{nt}

n = number of times per year that interest is compounded

T = amount of time (in years) passed

Multiplication rule for exponents

a^b * a^c = a^b+c

division rule for exponents

\frac{a^{b}}{a^{c}}=a^{b-c}

Power rule for exponent

\left(a^{b}\right)^{c}=a^{bc}

how to convert negative exponents into positive ones

a^{-b}=\frac{1}{a^{b}}

formula to switch between radicals and fractions

x^{\frac{P}{N}}=\sqrt[N]{x^{p}}

i^{2-4} , what do these equal

I² = -1

I³ = -i

i^4 = 1

standard form for parabola

f(x) = ax² +bx + c

Vertex form for parabola

\left(-\frac{b}{2a},F\left(-\frac{b}{2a}\right)\right) = vertex

y intercept for parabola

c

quadratic formula

\frac{-b\pm\sqrt{b^2-4ac}}{2a}

sum of solutions

-b/a

x coord of vertex of factored form

\frac{M+N}{2}

factored form

f(x) = a (x-m)(x-n)

vertex form

f(x) = a(x-h)² + k

vertex cords in vertex form

(h, k)

Difference of squares

a² - b² = (a+b)(a-b)

Perfect square trinomial

a² + 2ab+ b² = (a + b)²

completing the Square

x^2+bx+\left(\frac{b}{2}\right)^2=\left(x+\frac{b}{2}\right)^2

slope formula

m=\frac{y^2-y^1}{x^2-x^1}

slope of horizontal line

0

slope of vertical line

undefined

sstandard form for graphing lines

Ax + By = C

Slope-intercept form

y = mx + b

Distance formula in graphs

d=\sqrt{\left(x^2-x^1\right)^2+\left(y^2-y^1\right)^2}

Midpoint formula

M=\left(\frac{x^1+x^2}{2},\frac{y^1+y^2}{2}\right)

average/mean equation

sum/# of individual items

median

middle number(s)

range formula

maximum - minimum

probability formula

desired outcomes/possible outcomes

what are angles that form a linear pair called

supplementary, add up to 180 degrees

what does 1 exterior angle in triangle equate to in an interior angle.

1 exterior angle = 2 remote interior angles

relation between central and inscribed angles

central angle is double the inscribed angle

arc length formula

\frac{x}{360}=\frac{arc}{circumference}

sector area in circle formula

\frac{x}{360}= sector/area of circle

circle formula

(x-h)² + (y - k)² = r²

(h, k) is center

r is radius

trapezoid area

\frac12\left(b^1+b^2\right)h

sum of interior angles formula

180(n -2)

sum of exterior angles

360 degrees

one interior angle of regular polygon

\frac{180\left(n-2\right)}{n}

area formula for polygons

A = bh

sin formula

sin = opp/hyp

cos formula

cos = adj/hyp

tan formula

tan = opp/adj