Final Review

Lessons 1-39

100

Factor:

3a⁷ⁿ⁺⁴ - 81³ⁿ⁺⁴

What is 3a³ⁿ⁺⁴ (a⁴ⁿ-27)

200

Look at the following and simplify.

Picture 15

What is 

2+3a

--------

4ax+4b+6ab

300

Look at the following

Picture 16

(0, 2)(-6/5, -8/5)

400

Look at the following 

picture 17

-3 - 1/2i

500

Look at the following

Picture 18

5/2

Lessons 40 -44

100

1/2 log₁₂ 4 + log₁₂ (x+2)= log₁₂ 16

What is x=6

200

csc 750^* + sin (-630^*) + tan 675^*

What is 2?

300

Sketch a graph of the function f(x)= (1/5)^-x+1

What is 

points (2,5) and (0, 1/5)

Lessons 45

100

Six physics books and five geometry books are on a shelf.  How many ways can they be arranged if the physics books are kept together and the geometry books are kept together?

What is 172,800

200

How many three-digit counting numbers less than 600 have digits that are all even?

What is 50?

300

How many ways can the letters P, Q, R, S, T, and U be arranged in a row 5 at a time if T cannot be the first, S must be second, and P cannot be fourth?  Repetition is permitted.

What is 900?

Lessons 46-50

100

Write the quadratic equation with a lead coefficient of 1 whose roots are 3 +2i and 3-2i.

What is x²-6x+13=0

200

Evaluate: Do not use a calculator.     

Arctan 1

What is 45 degrees?

300

Write the equation for the following sinusoid.

What is y=-4 cos theta

Centerline 0

Amplitude 4

Function -cos theta

Lesson 51

100

Write 4200 as a power whose base is e.

What is e^8.34?

200

Find: log 7.4

What is .8692?

300

Find ln 7.4

What is 2.0015