Algebra II Final Review!

Unit 5

100

Equation for:

the area of a square varies directly with the side length squared.

What is A=kS²

200

y varies inversely with x. if x is doubled than y ...

What is halved

300

(-2x^-1)^3(-3x^-2)^-2

What is 

(-8x)/9

400

Simplify 

(2-5i)/(4+2i)

What is 

(-1/10)-(6/5)i

500

Simplify 

i^402

What is -1

Unit 6

100

Simplify: 

(x-1)/(3x+15)-(x+3)/(5x+25)

What is 

(2x-14)/(15(x+5)

200

Simplify: 

(x^2-16)/(x^2-10x+25)/(3x-12)/(x^2-3x-10)

What is 

((x+4)(x+2))/(3(x-5))

300

Simplify: 

(1/x-1/y)/((x^2-y^2)/(xy)

What is 

(-1)/(x+y)

400

Solve: 

c/(c-2)+1/(c-4)=2/(c^2-6c+8)

What is c=-1

500

Simplify: 

a^2/(a-b)+b^2/(b-a)

What is a+b

Unit 7 &8

100

Simplify 

sqrt12+2sqrt48+5sqrt147-4sqrt3

What is 

41sqrt3

200

Simplify: 

3x=2+sqrt(2x-1)

What is x = 1

300

This is the horizontal asymptote for 

-2^(x-1)+3

What is y=3

400

Solve: 

(1/4)^(2x-3)=32^(3x)

What is x=

6/19

500

The number of fish is initially 58. After 5 years the population reaches 108. What is the growth rate of the population of fish assuming an exponential model. Round to the nearest integer

What is 13%

Unit 9

100

Solve for x: log_x64 = 3

What is x=4

200

Evaluate log₃81^3/2

What is 6

300

Simplify and Evaluate:

log₄40 + log₄5+log₄8-log₄100

What is  2

400

Solve: log₅(x² - 3)=log₅2+log₅x

What is 3

500

Solve: log₈(5x) = -1/3

What is x = 1/10 or 0.1

Unit 10

100

sin60

What is 

sqrt3/2

200

tan30

What is 

sqrt3/3

300

Given right triangle ABC. Angle C is 90. side c is 2, side a is 1. Find sinA, cosA and tanA

What is sinA=1/2, 

cosA =sqrt3/2, tanA= 1/sqrt3

400

Find tanA and sinA if cosA=-2/5 and sinA >0

What is 

tanA=-sqrt21/2 and sinA=sqrt21/5

500

Given right triangle ABC. Angle C is 90. side c = x, side a = 25 and angle B =37. Find x to one decimal place.

What is x=31.3