review sheet

# review sheet - Name: ________________________ Class:...

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Unformatted text preview: Name: ________________________ Class: ___________________ Date: __________ ID: A 1 Review for Chapter 8 Test Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. An initial population of 505 quail increases at an annual rate of 23%. Write an exponential function to model the quail population. a. f ( x ) = 505(0.23) x c. f ( x ) = 505(23) x b. f ( x ) = 505 0.23 ( ) x d. f ( x ) = 505(1.23) x ____ 2. The half-life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 10 days. Round your answer to the nearest thousandth. a. y = 1 2 1 801 1 85 x ; 0.228 kg c. y = 801 1 2 1 85 x ; 738.273 kg b. y = 801 1 2 85 x ; 0 kg d. y = 2 1 801 1 85 x ; 0.911 kg ____ 3. Suppose you invest \$1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years? a. \$800.26 b. \$6,701.28 c. \$10,138.07 d. \$1,923.23 ____ 4. How much money invested at 5% compounded continuously for 3 years will yield \$820? a. \$952.70 b. \$818.84 c. \$780.01 d. \$705.78 Write the equation in logarithmic form. ____ 5. 6 4 = 1, 296 a. log 6 1, 296 = 4 c. log 1, 296 = 4 6 b. log 1, 296 = 4 d. log 4 1, 296 = 6 ____ 6. 125 4 3 = 625 a. log 4 3 625 = 125 c. log 125 625 = 4 3 b. 3 log 4 625 = 125 d. log 625 125 = 3 4 Evaluate the logarithm. ____ 7. log 5 1 625 a. 3 b. 5 c. 4 d. 4 ____ 8. log 3 243 a. 5 b. 5 c. 4 d. 3 ____ 9. log 0.01 a. 10 b. 2 c. 2 d. 10 Name: ________________________ ID: A 2 ____ 10. Write the equation log 32 8 = 3 5 in exponential form. a. 32 3 5 = 8 b. 8 3 5 = 32 c. 3 5 32 = 8 d. 8 5 3 = 32 Write the expression as a single logarithm. ____ 11. 5 log b q + 2 log b y a. log b ( q 5 y 2 ) c. log b q 5 + y 2 b. 5 + 2 ( ) log b q + y d. log b qy 5 + 2 ____ 12. log 3 4- log 3 2 a. log 3 2 b. log 3 2 c. log 2 d. log 2 ____ 13. 4 log x- 6 log ( x + 2) a. 24 log x x + 2 c. log x ( x + 2) 24 b. log x 4 ( x + 2) 6 d. none of these Expand the logarithmic expression. ____ 14. log 7 n 2 a. log 7 n- log 7 2 c. log 7 2- log 7 n b. log 7 n log 7 2 d.- n log 7 2 ____ 15. log 3 11 p 3 a. log 3 11 3 log 3 p c. log 3 11 + 3 log 3 p b. log 3 11- 3 log 3 p d. 11 log 3 p 3 ____ 16. log b 57 74 a. 1 2 log b 57 + 1 2 log b 74 c. log b 57- log b 74 b....
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## This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State University.

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review sheet - Name: ________________________ Class:...

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