Math concepts/vocab

Question 1

standard form equations for circles

• what is it
• what is the center coordinate
• what is the radius

Answer 1

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

Question 2

altitude of triangle

Answer 2

perpendicular line from vertex down to opposite

Question 3

when is an exponential decreasing

Answer 3

when x>0 and x<1

Question 4

quadratic - how many solutions?

Answer 4

b^2-4ac:
- if =0: 1 sol
- if >0: 2 sol
- if <0: no sol

Question 5

factoring sum/difference of cubes

Answer 5

(a^3+b^3): (a+b) (a^2-ab+b^2)

(a^3-b^3): (a-b) (a^2+ab+b^2)

Question 6

product of solutions (standard form)

Answer 6

c/a

Question 7

sum of solutions (standard form)

Answer 7

-b/a

Question 8

ax+by=c –> find slope

Answer 8

-a/b

Question 9

vertex form

Answer 9

y = a ( x − h ) ^2 + k

h: x coord
k: y coord

Question 10

standard deviation

Answer 10

the average amount of variability in your dataset

Question 11

parabola form

Answer 11

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

Question 12

cone volume

Answer 12

1/3 pi * r^2 * h

Question 13

sphere volume

Answer 13

4/3 pi * r^3

Question 14

pyramid volume

Answer 14

1/3 lwh

Question 15

data plots: when the data set has a symmetrical spread, what is the relationship between its mean and median?

Answer 15

symmetrical: mean = median

Question 16

relationship between sine and cosine in right triangles

Answer 16

sine (angle) = cos of the complimentary