Formulas

Question 1

Pythagorean Theorem

Answer 1

a^2 + b^2 = c^2
c = hypothenuse

Question 2

Quadratic Equation

Answer 2

ax^2 + bx + c = 0

Question 3

Discriminant

Answer 3

b^2 - 4ac

Question 4

Equation of a circle

Answer 4

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

Question 5

slope intercept form

Answer 5

y = mx + b
m = slope
b = y intercept

Question 6

m in y = mx + b

Answer 6

m = change in y/change in x = rise/run = (y2 - y1) / (x2 - x1)

Question 7

circumference of circle

Answer 7

2(pi)(r)

Question 8

area of circle

Answer 8

pi(r)^2

Question 9

% change

Answer 9

(difference/initial) • 100

Question 10

Quadratic Formula

Answer 10

-b +/- sq. root of (b^2 - 4ac) / 2a

Question 11

distance

Answer 11

speed/time

Question 12

range

Answer 12

max value - min value

Question 13

exponential eq. (line)

Answer 13

y=a(b)^x (b = number repeatedly multiplied/common factor/common ratio) (a = initial value/y-intercept)

Question 14

negative • negative

Answer 14

positive

Question 15

positive • negative

Answer 15

negative

Question 16

• or / inequality by ____ number will have to swap?

Answer 16

negative number

Question 17

x

Answer 17

independent variable (changes)

Question 18

y

Answer 18

dependent variable

Question 19

FANBOYS

Answer 19

for,and,nor,but,or,yet,so

Question 20

two lines, different slope

Answer 20

intersect once, exactly one sol.

Question 21

same slope, diff y intercepts

Answer 21

never intersect, no sol

Question 22

same slope, same y intercept

Answer 22

infinitely many sol

Question 23

time

Answer 23

distance/speed

Question 24

relationship between t (time) & n (total amount)

Answer 24

t = p (1+ i/100)^t (i% = interest) (principle = p)

Question 25

perpendicular line slope

Answer 25

negative reciprocal of slope

Question 26

measure of angle in degrees

Answer 26

measure in radians • 180 deg./pi. radians

Question 27

square of sum

Answer 27

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

Question 28

square of difference

Answer 28

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

Question 29

difference of squares

Answer 29

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

Question 30

sq. rt. of x

Answer 30

x^1/2

Question 31

FOIL

Answer 31

First, Outside, Inside, Last