Algebra 2 Semester 2 Review

Logs/Exponentials

100

Growth or decay?   f(x)=1.5 (3.8)^x

Growth

200

Describe ALL the transformation:  3 log₆x+2

Up 2 and stretch by factor of 3

300

log₂12 = 

3.6

400

Find the inverse of g(x)=log_x4

y^x=4

500

solve for x: log₂x+log₂7=3

8/7 or 1.14

Radicals/ Interest

100

solve for x: 5√(4x+8) = 30

x = 7

200

How far can a fox run into the woods? 

Halfway

300

John put $1000 in a savings account 12 years ago.  The $1000 has been increasing in value by 3% each year.  Use A = P(1+r)^t to find the current value of John's savings account.

$1425.76

400

find the domain and range of f(x)=√(x+1)-4

domain x>-1    range y >4

500

(81x¹⁶)^1/4

9x⁴

Rational Functions

100

(x-6)/3 = (-2x - 2)/15

x = 4

200

(x-5)/(7x²) + 4/x - 6/(3x)

(-5 + 15x)/(7x²)

300

Find the vertical asymptote and horizontal asymptote of (x²+2x-48)/(x+8)

VA x=-8 and HA none

400

I am an odd number.  Take away a letter and I am even.  What number am I?

seven

500

(x²-4)/(x²+2x-15) ÷ (x²-2x)/(x³-3x²)

(x(x+2))/(x+5)

Trig

100

List a positive and negative coterminal angle for -229^o.

131^o and -589^o

200

Convert -13π/15 to degrees

-156^o

300

Evaluate sin π/2

1

400

cos 240^o

-1/2

500

What has to be broken before you can use it?

An egg

Probability/Sequences

100

What is the 20th term of the arithmetic sequence 10, 7, 4, ...?

-47

200

What is the sum of the first 10 terms in the geometric sequence 2 + 6 + 18 + ...?

29,524

300

What has hands but doesn't clap?

A clock

400

What is the probability you roll a number less than 6 on a die?

5/6

500

A bag contains 3 blue marbles and 5 orange marbles.  What is the probability of selecting a blue marble and then an orange marble when the marble is NOT replaced?

15/56