Exponential Functions
Logarithmic Functions
Solving Expo/Log
Basic Trig and Unit Circle
Trig Identities
100

Determine whether the function below is exponential growth or exponential decay, and find the percentage rate of change.

P(x)= 0.75(1.035)x
What is a growth of 3.5%?
100

Evaluate log327. 



What is 3? 

100

Solve 4^x=64

What is x=3?

100

Find CS.  Round to the nearest hundredth. 

What is 4.31?

100

Simplify the trigonometric expression.

 cscxsinx. 

What is 1?

200

The population of a colony of bacteria can be modeled by the function P(t)=25(1.042)where P(t) represents the population and t represents time, in hours. 

What does 25 represent in this function?

What is the initial population?

200

Evaluate 

log(1/10)

What is -1? 

200

Solve  log_2x=6  ?

What is x = 64?

200

Find   m\angle W . Round to two decimal places. 

What is 

19.47^∘? 

200

Simplify the trigonometric expression into one number or a single trigonometric function. 

 cscx⋅sin^2x 



What is 

sinx?

300

$10,000 is placed into an account earning an annual interest rate of 2.3%. To the nearest cent, find the value of the account after 5 years if interest is compounded weekly. 

What is $11,218.45?



300

Rewrite the following logarithmic equations in exponential form.

logba=7



 



What is b7=a? 

300

Solve e^x=60 . Round to the nearest thousandth.

What is x = 4.094?

300

Evaluate sin 45



What is 

sqrt2/2?

300

Simplify each trig expression into one number or an expression with a single trig function.

   1-\sin^2 x - \cos^2 x  

What is 0?

400

If $850 are placed in an account earning 1.7% interest, compounded continuously, how much will be in the account after 10 years?



What is  $1007.51?

400

Condense using log properties.

ln12−ln3



What is 

ln4?

400

Solve -7+2\text{log}_3 x =-5 

What is x = 3? 

400

Evaluate Cos 0 .

What is 1? 

400

Simplify the expression  \cos x + \sin x \tan x.  

What is sec x?

500

The amount of caffeine in a person’s body decreases about 15.3% every hour. Sarah drinks a cup of coffee with 95 milligrams (mg) of caffeine in it.

Write an equation for the function C that gives the amount of caffeine in her body C(t), in milligrams, after t hours.

What is C(t) = 95(0.847)?

500

Condense using log properties.

 3log_5x−2log_5x 



What is 

log_5x?

500

Solve  log(x^2+5)=\text{log} 21.  

What is x=±4?

500



Evaluate  tan ((-5\pi)/3 \).  





What is 

sqrt3?

500

Simplify the expression  \frac{\cos^2x+\sin^2x}{1+\tan^2x}-\cos^2x  

What is 0?