alg2ch3arev_sol - Algebra 2 Review 3.1 to 3.3 No Calculator...

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Unformatted text preview: Algebra 2 Review 3.1 to 3.3 No Calculator Allowed For questions ] and 2, express as a power of 2. ' M: 3 f ' ‘5 1.23.4 CngZL‘efjjl 2.8-32 1-sz ‘1' 2‘ For 3 — l4, simplify each expression using the properties of exponents. 3.342%:5’; 4130:1/7 v—r I 6. 16'” r: é’f/éa @ 8. 361/436“ 7. 81 .3/4 (&I/) (1)2 9' 25/2 ,21/2 :1 2529“!“ 10 7 : €571: a 9 9 :Z/& Azfi/lhé 3 7 254 1/2 4/3 f 25% 14. (64 ) : zsafihzfl 45% 5“ a7 "E” Gm hin CalculatorAllowed 12. For questions 15 and 16, evaluate each expression when x = 4. 15. 12(2") 1 [2. 27 16. 10246? For question 17 and 18, do each of the following: 3. Find the y—intereept of the graph. b. Does the graph illustrate exponential growth or decay? Explain. c. Sketch the graph. 17. y: 6(0.8)* j’ii‘ttfiéfigflf é? Dew?» awe 17" 9 4 { 51%”: me (a I ‘2‘7/ 18. y: 1.8(1.4)X flanker/It 1" £8 5- 82/3 : (gt/392‘: (2)2:fi/7 e my? . Kiwi/Lag ll.;82/5‘8‘2/5 :, gig/V1” ”fig": 80‘: 7/7 101%! aéf‘ 102%, :2! :fl/ l/yFI/Ir -' sé- MAI/é 97% 2. ; l9. $1500 is invested in a bank at 2.5% interest, compounded annually. at. Write an equation of the form y = c1112]r for the amount in the account after x years. 2 2: 1.520 (/222ij b How many years Jill it take for the original amount to double? Explain how you arrived at your ans__wer. ,w-V'] mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm Kong/.1 (:012 (I 02?) cute, . .. (7;: 23,071 jam)” .2 M “M.- 0. Write an equation of the form y I a (2) ”d for the amount of money in the account alter x years. 20 The population In Detriot Michigan 15 decaying at annual rate of 2.5% each year Detroit’ 3 current population IS 2. 3 million people *********** ‘ a. Write an equation of the form y = abx for the population in the after x years. f] a». pay (M «mil hm; u g: 2.3 (fl75Y‘ b. How many years will it tithe for the population to be half its current population? Explain how you arrivedal floutanswer. 62:" 2 222351] Y1 Y2. 9W1}; flak (M frggifim ‘ xix O77: 375/t’61/J 0. Write an equation of the form y = a (1/2) ""h for the population in Detroit after x years. W“ “"1" A7!" 555227 @222 V 2:2 237224221227 a) Find the average growth rate for the health care expenditure r22: gwww w“ b) Write an equation that models this data what do the variables represent? soar 21/226222le _ 2’ My "' 2“ W” W , 2/2 “’4" 3: H} ((4.217)3 a a: 1W“ W: 2226 c) Use your equation to estimate the Health Care eXpenditure f01 the followingK years: 1290 a) 2000 f}: («(20.2.27)g 1570.22.2/ b) 2012 {0.7 2:1 . 1421211271 *QKMQ’? ...
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