Exponent Rules
Scientific Notation
Exponential Growth & Decay
Geometric Sequences
100

-2xy2-4xy+6xy2

What is 4xy2-4xy?

100

(3.5 x 103) - (9 x 101)

What is 3.41 x 103 ?

100

The equation for an exponential growth function

What is y = a(1+r)t?

100

Formula for finding the nth term of a geometric sequence: 

an = a1 * rn-1

200
(r6s7t2)/(r5s4t2)

What is rs3?

200

(7.6 x 10-7) x (8.9 x 10-2)

What is 6.764 x 10-8?

200

The equation for an exponential decay function

What is y = a(1-r)t?

200

Find a9 for the following sequence: 3, -12, 48, ...

What is 196,608? 

300

Find the area of a rectangle whose length is 13x and width is 4x2y

What is 52x3y?

300

(1.75 x 105)/(5 x 10-3)

What is 3.5 x 107?

300

Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 7 years. 

What is $855,355.66?

300

Find a9 for the following sequence: 13122, 4374, 1458, ...

What is 2?

400

(-4y3)2 * (xy4)3 + 7x3y18

What is 23x3y18?

400

The distance from Earth to the sun is 1.5 x 108 miles. The distance from Neptune to the sun is 5.196 x 109. How many times further is it from Neptune to the sun? 

What is 3.464 x 101?

400

The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent of the apartment in 2017.

What is $8029.91?

400

Find a9 of the following sequence: -8, -16, -32, ...

What is -2048?

500

Find the area of a trapezoid (A = 1/2(b1+b2)(h))

b1 = 2a3b

b2 = 9a3b

h = 6a2

What is 33a5b?

500

The population of Alaska is approximately 6.5 x 105 people. The population of Illinois is about 1.3x107 people. How many times greater is the population of Illinois than the population of Alaska? 

What is 2 x 101?

500

The population of a town was 14,000 in 2010. If the population decreased at a rate of 1.5% each year thereafter, use an exponential function to find the population after 10 years. 

What is 12,036 people? 

500
Given the sequence {-2, 6, -18, ...}, write the rule to find the nth term. 
What is an = -2(-3)n-1?