Basics
Law of exponents
Scientific Notation
Graph/ Tables
Compound Interest
100

What is the general form of an exponential function?

y=abx  

100

(b4 )4 * a2

a2b16

100

Write the number below in scientific notation. 

34,006,000

3.4006x107

100

Is the graph of y=(0.5)x increasing or decreasing?

Decreasing (exponential decay)

100

A new car costs $32,000. The value of the car decreases by 7% each year. What is the value of the car after 8 years?

A= $ 17, 906.62

200

Is y=3x2 an exponential function? Why or why not?

No, it’s quadratic. Exponential functions have variables in the exponent.

200
Simplify the expression. (2y0)-1/ 2x-4y3 

x4/4y3

200

Arrange 3.2 • 104, 8,400 and 9.9 • 103 in order from least to greatest.

8400, 9.9x103 , 3.2x104

200

Describe the graph of f(x) = 6x.

y-inter, describe the curve upward/downward

y-inter.= 1 , curves upwards

200

The population of a small town grows 6% each year. If the population was 3,500 25 years ago, what is the population now?

15,021.55 ppl

300

If y=2⋅3x, what is y when x=−2?

y=2⋅3-2 =2⋅1/9=   2/9

300

 25*2-3 / 22

1

300

simplify. 8x105 / 6.24x10-5 . Stop 5 decimals after. 

1.28205x1010

300

Describe the graph of f(x) = 3(4x).

Increases/decreases. y-intercept. range. domain.

Inc, y-int.=3, d= (-inf,inf) , r= (0, inf)

300

A 6.5 year investment of $54,000 has an interest rate of 8% that compounds quarterly. How much is the investment worth at the end of the 6.5 years?

A = $ 90,364.58

400

What’s the y-intercept of y=5⋅2x?

5 (when x equals 0)

400

9y5*5x2 / 9xy3

5xy2

400

Add. (7.2x10-2) + (4.51x103)

4.510072x103

400

Describe the graph of f(x) = 1⁄2x.

Incr./decr. , y-int., range, domain

decreases, y-int. = 1, r= (0,inf) d= (-inf, inf)

400

Rafael invested some money in an account with a 4% interest rate that compounded annually. How much did he invest initially if, after 5 years, the investment totaled $2,000?

p= $ 1,643.85

500

Graph y=−2⋅3x. What is the range?

range is y<0  or  0 < - infinity  or (0, - infinity)

500

k2 / (4k-4)-2* 3k-2

16 / 3k4

500

(3.3x109) - (9.86x105)

3.299014x109

500

Maria invests $3,200 in an account that earns compound interest, compounded monthly. After 15 years, the account balance is $7,280. What is the annual interest rate (to the nearest tenth of a percent)?

r= 5.5%

500

Yvette lets someone borrow $5,600 with 10% interest compounded monthly. If she is repaid in 18 months, how much money will she have received back?

$ 6,502. 23

M
e
n
u