Unit 6 Math Jeopardy

Simplifying Monomials

100

6ab - 8ab

-2ab

200

-2xy² - 4xy + 6xy²

4xy² - 4xy

300

-7n^-4 x 5n^-2

-35n^-6

400

(5v⁴)² x 2v³ x v

50v¹²

500

(-a⁶b)² + 9a¹²b²

10a¹²b²

Scientific Notation

100

(8.6x10^-4) + (6.7x10^-5)

9.27x10^-4

200

(3.5x10³) - (9x10¹)

3.41x10³

300

(5.6x10⁴) x (4.5x10⁶)

2.52x10¹⁰

400

(7.6x10^-7) x (8.9x10^-2)

6.76x10^-8

500

(3.9x10^-12) / (4x10⁴)

9.75x10^-17

Exponential Growth & Decay Applications

100

The population of the city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years. 

y=a(1+r)^t

1,044,856 people

200

A car bought for $13,000 goes down 15% per year. Use an exponential function to find the value of the car after 5 years.

y=a(1-r)^t

$5,768.17

300

Roger purchased a painting in 2006 for $1,250. Since then, its value has increased by 6% each year. Use an exponential function to find the value of the painting in 2017.

y=a(1+r)^t

$2,372.87

400

In 2000 Florida's population was 16 million. Since 2000, the state's population has grown about 2% each year. This means that Florida's population is growing exponentially. Find Florida's population in 2006.

18,018,598 people

500

The original value of an investment is $1,400 and the value increases by 9% each year. use an exponential growth function to find the value of the investment after 25 years.

y=a(1+r)^t

$12,072.31

Negative Exponents

100

w⁷ x w^-9

1/w²

200

6x^-8 x -3x^-3

-18/x¹¹

300

(5y²)^-3

1/115y⁵

400

(8p⁵)^-2

1/64p¹⁰

500

(a^-5b⁸c^-12)(a⁷b^-3c⁷)

a²b⁵/c⁵

Identifying a Geometric Sequence

100

2, 10, 50, 250, ...

r= 5

200

80, -40 ,20 ,-10, ...

r= -2

300

135, 45, 15, 5, ...

r= 1/3

400

7, -14, 28, -56, ...

r= -2

500

-9, -36, -144, -576, ...

r= 4