SAT Practice

quadratic formula

x = (-b ± √(b²-4ac))/(2a), where a, b, and c are coefficients of the equation.

standard equation of a circle

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

growth formula

FV = PV(1+ r/100k)^kn, where FV is the future value, PV is the present value, r is the rate of growth, n is the number of periods, and k is the number of compounding periods

volume of a cone

V = (1/3)πr²h cubic units. In this formula , “r” is the radius of the base, and “h” is the height of the cone.

Circle theorems

central angle

30-60-90 triangle

• The shorter leg has a length of x.

• The longer leg has a length of x√3

• The hypotenuse has a length 2x

Unit circle

Sin, cos, and tan of common radian values

Unit conversions

8 ounces = 1 cup

2 cups = 1 pint

2 pints = 1 quart

4 quarts = 1 gallon

5280 feet = 1 mile

Completing the square

take ½ of the middle number and square it, add to both sides

Graphing linear inequalities

if y > mx + b, shade above the line

if y < mx + b, shade below the line

</> dashed line

≤/≥ solid line

completing the square form

y = a(x - h) + k

what does removing the largest value in a data set do to the mean and standard deviation?

both the mean and the standard deviation would decrease because the data is less spread out

what is y^myⁿ equal to?

y^myⁿ = y^m+n

relationships between angles in a parallelogram

the complementary and supplementary angles add up to 180

Volume of a square pyramid

base edge² x height / 3