Unit 6 Test Review

Growth/Decay

100

Random:

What CITY is the Women's College World Series played? (national softball tournament)

Oklahoma City

200

Identify a growth or decay, domain, range, y-intercept, and asymptote for the following:

f(x)=4^x-7

Growth

D: all real #s, R: y>-7, y-int (0,-6), asymptote: y=-6

300

Identify a growth or decay, domain, range, y-intercept, and asymptote for the following:

f(x)=6(1/3)^x+2

Decay

D: all real #s, R:y>2, yint: (0,8), asymptote: y=2

400

The Mendez family just bought a home for $180,000. If the value of the home increases at a rate or 3% per year, use an exponential function to find the approximate value of the home after 10 years.

y=180000(1.03)¹⁰

$242,000

500

Doug purchased land for $8,000 in 1995. The value of the land depreciated by 4% each year after. Use an exponential function to find the approximate value of the land in 2002.

y=8000(1-.04)⁷

$6,012

Exponent Rules

100

-7a²b - 2a^ab

-9a²b

200

(xy³)*(xy)⁴

x⁵y⁷

300

(5ab)*(-2a²b)³

-40a⁷b⁴

400

(-a²b³)² * (4a³b²) + 9a⁷b⁸

13a⁷b⁸

500

[(-2m²n³)]³

--------------

[(m²n⁴)]³

-8/n³

Radicals

100

Simplify:

√100+ ³√27

10+3=13

200

You know what's radical? Your group!!

Count to 10 alternating people in your group out loud for 200 points. :)

woohoo!! great job

unless you didn't get it... then that's a whole differnt issue we need to discuss.

300

Write in simplest radical form: √192

8√3

400

What is the value of the expression below in a=8, b=16, and c=-4?

5³√a-c√b+9

5*2-(-4)*4+9

=35

500

Write in simplest radical form:

³√864

6³√4

Scientific Notation

100

The Philippines has a population of about 78 million people. What is this number written in scientific notation?

7.8x10⁷

200

200 points if you can hop on 1 foot without stopping for 30 seconds!! (let me get a timer)

Nice job!!

unless you didn't get it...then good effort, but no points

300

How do you write 3.61x10^-2 in standard form?

0.0361

400

Simplify the following in scientific notation:

(9.1x10^-3) + (5.8x10^-2)

6.71x10^-2

500

The speed of sound in water is (1.46x10³) meters per second. The speed of sound in air is (3.31x10²) meters per second. How much faster does sound travel in water than in air?

1.129x10³ m/s

Geometric Sequence

100

What is the next number in the geometric sequence:

32,8,2,____

1/2

r=1/4

200

Find the common ratio of the following sequence:

4,-12,36,-108...

r=-3

300

What state is Mr. Rhodes from?

Ohio!!

400

What is the common ratio of the geometric sequence: -5,-10,-20,-40,...

r=2

500

Find a₇ for the following sequence: 

4,-12,36,-108...

a₁=4

r=-3

a₇=2916