Exponential Functions
Properties of Exponents
Radical & Exponential Forms
Operations with Radicals
Logarithms
100
A family's chicken population started at 100. Every year, the population increases by 21%. Find the equation for this situation.
What is 100(1.21)^X?
100
The simplified value of 5² • 5⁷
What is 5⁹?
100
True or false: A number to the power of 1/2 is equivalent to the square root of that number
What is true?
100
The value of the expression 5√5 - 8√5
What is -3√5?
100
Log(1000)
What is 3?
200
The table below shows the percent of Americans that are overweight. Use your calculator to find an exponential regression that fits the data. Round to the nearest hundredth. Let x=0 for the year 1900. Year 1900: 2.28% Year 1910: 2.38% Year 1920: 2.74% Year 1930: 3.01% Year 1940: 3.98% Year 1950: 4.15% Year 1960: 7.80% Year 1970: 21.31% Year 1980: 24.64% Year 1990: 28.96% Year 2000: 34.48% (this data is not real)
What is 1.66(1.03)^X?
200
The simplified value of 4a⁸c • 2a²bc³
What is 8a¹⁰bc⁴?
200
What is the radical form of x³/⁴?
What is (⁴√x)³?
200
The simplified value of ³√343m
What is 7m?
200
True or false: Negative logs generate an error message on the calculator.
What is true?
300
Professor Hardmath's car was worth $15,789.99 at the time of his purchase in 2004. Each year, its value decays by 3%. Given the function a(b)^x, with a the initial value and x the number of years since 2004, How much is the car worth this year (2014)?
What is $11,643.92?
300
The simplified value of q-³v⁴/ q⁸v³
What is v --- ? q¹¹
300
The exponential form of (⁷³√r)⁴⁵
What is r⁴⁵/⁷³?
300
Multiply and Simplify: √16x • √25x
What is 200x?
300
Log 93 = 1.97 in Exponential Form
What is 10¹·⁹⁷ = 93?
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