Algebra 2B Final

Rational Functions

100

What is the LCD of:

1/5 and 4/(5x)

5x

200

4/x^2-(4x+1)/(6x^2)

(-4x+25)/(4x^2)

300

(3x)/ (x-5) = (-6)/8

x=1

400

5/(x^2-4)+2/(x+4)

(7x-8)/((x-4)(x+4))

500

-10/(3x-5) = (5x+1)/(9x-15)-7/(3x-5)

x=-2

Sequences and Series

100

What makes a recursive rule different from an explicit rule?

it depends on previous terms

200

Write a rule for:

5, -10, 20, -40, ... 

a_n = 5 (-2)^(n-1)

300

sum_(k=1)^7 7k-9

133

400

sum_(k=1)^oo -5(1/3)^(k-1)

-7.5

500

Find the 6th term of the sequence:

a_1= 1

a_n= a_(n-1) + 4

21

Random

100

When is the next election year?

"Next year"

or

"2024"

200

This fruit is mentioned in Jack Black's latest viral song

Peaches

300

Until when do you have to retake the final?

Wednesday 05/31/23

400

When does summer officially start?

June 21st

500

What popular restaurant has a siren as their mascot?

Starbucks

Trigonometry

100

What is the relationship between sine, cosine, tangent, and cotangent, cosecant, secant?

They're reciprocals

200

Name the closest positive and negative angle that is coterminal with 189 degrees.

-171 and 549 degrees

300

Convert 455 degrees to radians

7.941

pi

400

Describe the transformation in:

4 cos 2x -3

Vertical Stretch by a factor of 4

Horizontal Shrink by a factor of 1/2 

Vertical shift 3 units down

500

Find the 5 key points for the function:

-tan(x)+1

(0,1)

x=-pi/2 and x= pi/2

(pi/4, 0) (-pi/4, 2)

Mixed Bag

100

How long is the period for cot x?

Pi

200

Write a rule for the sequence:

23, 19, 15, 11, ...

a_n=-4n+27

300

Find the LCD for:

1/(x^2+3x-40) and 1/(x-8)

(x-8)(x+8)(x-5)

400

Identify the 5 key points for 

cot (1/2 x)

Asymptotes, x=0 and x= 2pi

intercept: (pi, 0)

Halfway: 

(pi/2,1) and ((3pi)/2, -1)

500

Write an arithmetic rule for:

a_12=9 and a_27=15

a_n=2/5n+4.2