SAT math

Arc length equation relating radius to arc angle.

(angle/360)*2*pi*r

Sector area equation relating arc angle to radius

(angle/360)*pi*r²

What is the relationship between two tangent lines and the radius of a circle?

The tangent lines form a ninety degree angle with the radius.

Equation for graphing a circle is…?

What does each letter in the equation stand for?

(x-h)²+(y-k)²=r²

h: x-coordinate of the center

k: y-coordinate of the center

r: radius

How do you know when to use quadratic formula?

Whenever the answer choices have plus or minus in them

sum of roots formula…?

product of roots formula…?

-b/a

c/a

standard form of quadratic

ax²+bx+c

How do you read discriminants?

Positive value = 2 real solutions

0 value = 1 real solution

negative value = no real solutions

Most op strategy in SAT?

plug and check

Desmos

Draw corresponding angles in your head

What is the complimentary rule in degrees?

The angles on the inside of these complimentary angles have to add up to what?

Sin(x)=cos(90-x)

cos(x)=sin(90-x)

90 degrees

What is probability?

(wanted event)/(total events)

Dddraraw a vertices angle in your head

what is the total angle formula?

180*((number of sides)-2)

How do you know when a question will be on synthetic division?

When the answer choices have remainders binomials on the bottom

How to find remainder using remainder theorem?

Find the number that makes the denominator equal zero.

plug that number into the top and solve.

What is the equation to find the x coordinate of the vertex?

-b/2a

What is the second method for finding the x-coordinate of the vertex?

find the average of the two roots

what is vertex form>

y= a(x-h)²+k

When the equation asks for the x-intercepts of the parabola to be a constant/coefficient, what are you looking for?

factored form

Ex of factored form: y = (x-4)(x+2)

When the equation asks for the minimum value of the parabola to be a constant/coefficient, what are you looking for?

Vertex form

Number one tip for exponents

MATCH BASES

how do you solve absolute value inequalities?

Place the expression inside the absolute value bars between the negative and positive number it is being compared to. Solve for x

What do you do when i is on the bottom for complex number questions?

get rid of it

How do you get rid of complex number on the bottom?

multiply by its conjugate

What has a greater standard deviation, data with higher or lower spread?

Higher

What does a double top curve look like?

Describe the relative spread for each of the following curve types

Bellcurve, skewed, and double top

Bellcurve: pretty low

Skewed: medium

double: high