Tuesday, February 19, 2019

alg I review guide for exponential functions


The test is 10-12 problems.  There was a lot to this unit so we suggest that you practice and ask questions!

2 simplifying exponent problems
2 simplifying radicals
4 graphing exponential functions
2 math applications using exponential functions
2 writing numerical values in scientific notation form


Here are some problems you can do to practice.

1.       Simplify:
a.       (4x2)3
b.       (8x3) / (12x8)
c.       (9x3)0 (2x)3
d.       Square root of 48
e.       4 times the square root of 24
f.        Square root of 8 times the square root of 12
2.       Put into scientific notation
a.        2,739,500,000,000
b.       .00000000000000000000000000000000003010
c. (3.9 x 10^24)(5.6 x 10^80)

3.       Graph each
a.       Y = 4 (3)^x
b.       Y= 100 (.=0.5)^x
c. y = 247(1)^x



4.  The population of bacteria in a high school locker multiplies by the hour.  This scenario is modeled by the p(t) = 300(1.3)^t, where p is population and t is time in hours.  How much bacteria is in the locker after 2 days?


5.  Same scenario in problem 4:  How many hours would it be until the population reaches 1 million?

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