Ch 8 Exponents and Exponential Functions
Ch 1 Connections to Algebra -variables, exponents and powers, order of operation, equations and inequalities, tables and graphs Ch 2 Properties of Real Numbers -addition, subtraction, multiplication, division, matrices, probability and odds Ch 3 Solving Linear Equations -adding and subtracting, multiplying and dividing equations, decimal equations, formulas, rates, ratios, percents Ch 4 Graphing Linear Equations and Functions -coordinates and scatter plots, quick graphs with intercepts, slope, direct variation, quick graphs using slope-intercept, solving equations by graphing, functions and relations Ch 5 Writing Linear Equations -using slope-intercept form, given slope and a point, given two points, best fitting line, point-slope form, standard form, predicting with linear models
6.1 Solving One-Step Linear Inequalities x + 8 > 1 6.2 Solving Multi-step Linear Inequalities 5x – 3 > 12 6.3 Solving Compound Inequalities -5<2x + 3 < 7 6.4 Solving Absolute-value Equations and Inequalities |x-4|=8 |5x+1|+3 =14 6.5 Graphing Linear Inequalities in Two Variables Graph x + y > 3
6.6 Stem and leaf plots; mean, median, mode 6.7 Box and whisker plots
Ch 8 Exponents and Exponential Functions
Summary Rule 73•72=75 aman = am+n
Summary Rule = (am)n = amn
8.1 p453-455 # 60-68 even, 75-79, 82-84
8.1 p453-455 # 60-68 even, 75-79, 82-84
75.) V=4/3 π r3 r=3a V=4/3 π(3a)3 V=4/3 π(3)3a3 V=(4/3)(27) πa3 V=36πa3 or 113.04a3 76.) V=(1/3) πr2h h=24 r=2b2 V=(1/3) π(2b2)2(24) V=(1/3) π(22)(b2)2(24) V=(1/3) π(4)(b4)(24) V=32 πb4 or 100.48b4 8.1 p453-455 # 60-68 even, 75-79, 82-84
79)a) Total possible answers = Part A + Part B 210+410 =210 +(22)10 210+220 230 ways to answer all 20 questions 8.1 p453-455 # 60-68 even, 75-79, 82-84
8.1 p453-455 # 60-68 even, 75-79, 82-84
X 2x -3 -2 -1 1 2 3
8.2 p459 14-44 even
8.2 p459 14-44 even
8.2 p460 #46-48, 50-64 even,66-70 all
8.2 p460 #46-48, 50-64 even,66-70 all
8.2 p460 #46-48, 50-64 even,66-70 all
X (1/5)x -3 -2 -1 1 2 3 8.2 p460 #46-48, 50-64 even,66-70 all
X (5)x -3 -2 -1 1 2 3 8.2 p460 #46-48, 50-64 even,66-70 all
X 3x (1/3)x -2 -1 1 2 3 8.2 p460 #46-48, 50-64 even,66-70 all
8.2 p460 #46-48, 50-64 even,66-70 all
8.2 p460 #46-48, 50-64 even,66-70 all
8.3 p466 20-48 even
8.3 p466 20-48 even
8.3 p466 20-48 even
8.3 p466 20-48 even
8.3 p467-469 #49-66
8.3 p467-469 #49-66
8.3 p467-469 #49-66
8.3 p467-469 #49-66
8.3 p467-469 #49-66
Height (0)=.0032 Height (1) = 2(.0032) Height (2) = 2(2(.0032)) Height (3) = 2(2(2(.0032))) Height (4) = 2(2(2(2(.0032)))) Height (25) = 225(.0032) = 107,374.18 inches or 8947.5 feet
To review for the quiz over 8.1-8.3
Review quiz on p469
X (5)x -3 -2 -1 1 2 3
34,690 b. 1.78 c. 0.039 d. 0.000722 e. 5,600,000,000
8.4 p473-475 #16-56 even, 58-60,62
8.4 p473-475 #16-56 even, 58-60,62
8.4 p473-475 #16-56 even, 58-60,62
8.4 p473-475 #16-56 even, 58-60,62
8.4 p473-475 #16-56 even, 58-60,62
8.4 p473-475 #16-56 even, 58-60,62
8.4 p473-475 #16-56 even, 58-60,62
W=C(1+r)t C=0.3 grams R=.10 T=1 day C=0.3 grams R=.10 T=42 days
P=C(1+r)t C=20 rabbits R=200% T=5 years http://www.youtube.com/watch?v=pgPhn4tYxJQ P=C(1+r)t C=20 rabbits R=200% T=5 years
Y= C(1+r)t C=$500 R=.04 T=5 and 10 Y=500(1+.04)5 =$608.33 http://www.ecalc.com/
http://www.ecalc.com/
8.5 480 #6-16 even, 18-24,29-31
8.5 480 #6-16 even, 18-24,29-31
8.5 480 #6-16 even, 18-24,29-31
8.5 480 #6-16 even, 18-24,29-31
21.) Y=10,000(1+.25)t t=0 to 10 21.) Y=20,000(1+.20)t t=0 to 10 C=10,000 C=20,000 1 10,000 20,000 2 3 5 10 93,132 123,834 8.5 480 #6-16 even, 18-24,29-31
30 1 2 3 4 P=C(1+r)t C=30 R=100, Growth factor=200 T=4 P=30(1+1)4 P=30(2)4 P=30(16) P=480 mice in 4 years 8.5 480 #6-16 even, 18-24,29-31
8.5 480 #6-16 even, 18-24,29-31
8.5 480 #6-16 even, 18-24,29-31
Exponential Growth Y=C(1+r)t (1+r)>1 Exponential Decay Y=C(1-r)t (1-r)<1
8.6 p488 #10-26,(27-29, 31-34,35-39) T=C(1-r)t T=20,000(1-.15)^3 http://www.ecalc.com/ 8.6 p488 #10-26,(27-29, 31-34,35-39)
8.6 p488 #10-26,(27-29, 31-34,35-39)
8.6 p488 #10-26,(27-29, 31-34,35-39)
http://www.ecalc.com/ 8.6 p488 #10-26,(27-29, 31-34,35-39)
http://www.ecalc.com/ 8.6 p488 #10-26,(27-29, 31-34,35-39)
64 1 2 3 4 5 6 8.6 p488 #10-26,(27-29, 31-34,35-39)
Year Miles 1894 M=302(1-.1)^0= 302 1896 2 M=302(1-.1)^2=244 1898 4 Cable Car Miles=302 (1-.10)^t t=1 to 9 Year Miles 1894 M=302(1-.1)^0= 302 1896 2 M=302(1-.1)^2=244 1898 4 M=302(1-.1)^4=198 1900 6 M=302(1-.1)^6=161 1901 7 M=302(1-.1)^7=144 1903 9 M=302(1-.1)^9=117 http://www.ecalc.com/ 8.6 p488 #10-26,(27-29, 31-34,35-39)
Sweater=C(1-.2)t t=0 to 5 Example=$40 1 2 3 4 5 http://www.ecalc.com/ 8.6 p488 #10-26,(27-29, 31-34,35-39)
http://www.ecalc.com/ 8.6 p488 #10-26,(27-29, 31-34,35-39)
8.6 p488 #10-26,(27-29, 31-34,35-39)
8.6 p488 #10-26,(27-29, 31-34,35-39)
T y=4^t -3 -2 -1 1 2 3 Graphing Calculator 8.6 p488 #10-26,(27-29, 31-34,35-39)