Show:
Conics
Rationals
Triangles
Sin/Cos/Tan
Limits
100

What type of conic has subtraction?

Hyperbola

100
What is the way we factor: 


a3 - b3 

(a - b)(a2 + ab + b2)

100

What equation do we use to find the area of a triangle using a sandwich angle?

A = 1/2absin(C)

100

What is the reference angle for -290 degrees?

60 degrees

100

Find the lim(x2 - 4x + 1)  as x approaches -2!

Limit = 13

200

What is the direction of this parabola:

y2 = -12x

Left

200

Factor:

(x - 6)2 + 7(x - 6) - 18

(x + 3)(x - 8)

200

Find the area of triangle ABC if:

Side a = 10

Side b = 9

Angle C = 47 degrees

32.91

200
Find a coterminal angle to -2pi/3

4pi/3 or -8pi/3

200

Find the lim as x approaches 4.


Lim(x2 +4x - 8) when x<4

Lim(x3 - 4x) when x > or = 4

48

300

What is the length of the major axis?

4(y-1)2 + 16(x+2)2 = 64

8

300
If you were adding 6x/x+1 and 4x/x-1 what would your common denominator be?

(x+1)(x-1)

or

x2 - 1

300

Triangle ABC has sides: 

a = 34cm

b = 46cm

c = 76cm

Find the area!


234.23cm2

300

What is the amplitude, period, and vertical shift of the following function?

y = -3 cos(1/4x) + 4

Amplitude: 3

Period: 8pi

Vertical Shift: Up 4

300

Is this function continuous at x = 2?

x2 + 4x - 10 when x < 2

(10 - x) / 2x when x > 2

Yes, it is continuous (both equations equal 2).

400

What is the directrix, the vertex, and the focus point?


(x-1)2 = 12(y+1)

Vertex: (1, -1)

Focus: (1, 2)

Directrix: y = -4

400

Factor: 100x3 + 30x - 20

10(10x3 + 3x - 2)

400

Triangle ABC has:

side a = 55

side c = 20

Angle A = 110 degrees

Find Angle C!

Angle C = 19.98 Degrees

400
Using the pythagorean identity, what is sin2x = ?

 = 1 - cos2x

400
The limit of f(x) as x approaches one is = 5

The limit of g(x) as x approaches one is = -2


Find the lim as x approaches one of: 4f(x)/5g(x)

=  -2

500

Sketch a graph of the following equation:


y2 = -8(x+1)

Will check on whiteboards!

500
Simplify the complex fraction shown on the board!

Answer shown on the board.

500

There is a ladder forming an angle of 20 degrees with the ground. It is set up 15 feet from a building. How high up the building will the ladder reach?

5.45 feet

500

What is the period of g(x) = 3 tan(6x)

pi/6

500

Sketch a function that has a removable discontinuity at x = -4 and a jump discontinuity at x = 2!

Checking graphs!