SAT Math

[-b ± √(b² - 4ac)] / (2a)

(y₂- y₁) / (x₂- x₁)

..., -3, -2, -1, 0, 1, 2, 3, ...

fractions (anything expessable as a ratio of integers)

integers, rationals, plus special #s (like √2 or pi)

PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract)

t₁, t₁+ d, t₁+2d, ...

t₁, t₁· r, t₁· r², ...

part = (percent / 100) x whole

average = sum of terms / number of terms

average speed = total distance / total time

sum = average x (number of terms)

mode = value in the list that appears most often

median = middle value in the list

probability = number of desired outcomes / number of total outcomes

x^a · x^b = x^(a+b)

x^a / x^b = x^(a-b)

1 / x^b = x^(-b)

(x^a)^b = x^(a·b)

1

√(xy) = √x · √y

(x+a)(x+b) = x^2 + (b+a)x + ab

a^2 -b^2 = (a+b)(a-b)

(a+b)^2

(a-b)(a-b)

√[(x₂- x₁)^2 + (y₂- y₁)^2)]

[(x₁+ x₂)/2 , (y₁+ y₂)/2]

opposite angles are equal (each pair of angles along the same line add to 180 degrees)

area = (1/2)bh

add up to 180 degrees

length of 1 side is always less than the sum of the other 2

three equal sides, all angles = 60 degrees

2 equal sides, 2 equal angles

same shape, corresponding angles are equal, corresponding sides are in proportion

pi · r^2

2 · pi · r

= 360 degrees

(n degrees / 360 degrees) · 2 · pi · r

(n degree / 360 degrees) · pi · r^2 (fraction of circle’s area)

area = lw

area = lh

volume = lwh

volume = pi · r^2 · h

2, 3, 5, 7, 11, ...

ex. GCF of 200 and 60 is 20

ex. LCM of 200 and 60 is 600

area = [(base1 + base2) / 2] · h

y=mx+b

y - y₁= m(x - x₁)

Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative

You must flip the sign

dotted line

solid line

shade upwards or to the right

shade downwards or to the left

2 pi r

The distance from one point on the circle to another point on the circle.

The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.

Part of a circle connecting two points on the circle.

An angle whose vertex is the center of the circle

old(1 +/- %) = new

1. less than

2. fewer than

1. greater than

2. exceeds

3. more than

1. at most

2. less than or equal to

3. no more than

1. greater than or equal to

2. no less than

3. at least

y = a(1 +/- r)^t

a = initial value

r = growth rate

t = time

y = a(x-h)^2 + k

(h,k) = A vertex

rt

sin(x) = cos(90-x)

-b/a

b^2 - 4ac

-3 < 0 = NO SOL

0 = 0 = 1 REAL SOL

7 > 0 = 2 REAL SOL

s^2√3/4

(n-2)180

(x-h)^2 + (y-k)^2 = r^2

sum of terms/number of terms

Percent x whole

Odd num

100 + (asked percent increase)/100 x whole number

180 (n - 2)

Short Leg: x

Second Leg: x√3

Hypotenuse: 2x

Short Leg: x

Second Leg: x

Hypotenuse: x√5

Short Leg: 3x

Second Leg: 4x

Hypotenuse: 5x