Mr. Brusca student Teacher day 2025

absolute value and rational equations

100

for what value of x is the expression undefined?

5/6-2x

3

200

solve the following equation: 5+lx-2l=7

x=4

x=0

300

solve for x and express your answer in interval notation

l3x-6l+4_>22

greater than or equal to^

(-inf,-4] U [8,inf)

400

solve this inequality

6x²-13x>-6x+3

(-inf,-1/3) U (3/2,inf)

500

identify the hole(s) of the given function

f(x)=(x²-16)/(-4x-16)

hole at (-4,2)

functions

100

if f(x)=8^6+x-11, what is the value of f(-5)?

-3

200

The function g(x)g(x) is a transformation of f(x)=x² and is given by

g(x)=(x+2)²−5

Describe the transformations applied to f(x) to obtain g(x).

horizontal shift 2 units to the left and a vertical shift 5 units down

300

find the domain of f(x)=(9x+45)^1/2

[-5,infinity)

400

find the inverse of f(x)=(3x-7)/(4x+3)

y=(3x+7)/3-4x

500

find all vertical asymptotes of the following function

f(x)= (3x²-27x-30)/(x²-6x)

x=0

x=6

Random

100

what does Mr. Bruscas mug have engraved on it?

AP stats tears

200

Solve for x in the equation log⁡₂(x−1)=3.

x=9

300

Find the solutions to the equation 3^x+1=81

x=3

400

what are both of our real names (first and last)?

Dylan Sanichara and Steven Sibrian

500

name the department heads of English, Math, Science, social studies, and business.

Otton, Kurian, Mcleer, Galvin, and Zepp

Conic Sections

100

What is the standard form of a circle?

(x-h)²+(y-k)²=r²

200

Write the equation of a circle given:center (2,7) and radius of 4

(x-2)²+(y-7)²=16

300

what type of conic section does the following equation represent?

36x²+49y²-144x+294y-1179=0

it represents an ellipse

400

the equation of a parabola is, (y-3)²=-8(x-2)

find the coordinates of the focus and find the direction that the parabola opens in

focus:(0,3)

opens left

500

the equation of a certain ellipse is:

9x²+y²-90x+6y+225=0

1) write the equation in standard form

2) find the semi-axes(a, b, and c)

3) find the coordinates of the vertices

1) (x-5)²/1 + (y+3)²/9 =1

2) a=3, b=1, c=2^1/2 or 2rad2

3) (5,0),(5,-6)

king Robert

100

what is Mr. Bruscas favorite color

Blue

200

how many dogs does Mr. Brusca have?

2

300

what sport did Mr. Brusca coach for 6 years

Baseball

400

where did Mr. Brusca go to college?

Hofstra

500

who is Mr Bruscas favorite baseball player? 

Derek Jeter