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15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.

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Presentation on theme: "15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome."— Presentation transcript:

1 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome to Who Wants to be a Millionaire 50:50

2 © Mark E. Damon - All Rights Reserved Another Presentation © 2000 - All rights Reserved markedamon@hotmail.com

3 © Mark E. Damon - All Rights Reserved

4 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

5 © Mark E. Damon - All Rights Reserved A: y = (x-3) 2 - 4 C: y = |x+3|- 4 B: y = |x – 4| - 3 D: y = |x - 3| - 4 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 C: y = |x+3|- 4 Write an absolute value equation that is 3 units left and 4 units down from the parent graph.

6 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

7 © Mark E. Damon - All Rights Reserved A: D: (0,∞) R: (-∞,∞) C: D: (-∞,0) R: (0,∞) B: D: (-∞,∞) R: (0,∞) D: D: (-∞,∞) R: (-∞,∞) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 What is the domain and range of y = x 2 B: D: (-∞,∞) R: (0,∞)

8 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

9 © Mark E. Damon - All Rights Reserved A: D: (-∞,∞) R: (-∞,∞) C: D: (-∞,0) R: (0,∞) B: D: (-∞,0) R: (-∞,0) D: D: (-3,3) R: (-∞,∞) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 What is the domain and range of y = x 3 A: D: (-∞,∞) R: (-∞,∞)

10 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

11 © Mark E. Damon - All Rights Reserved A: D: (-∞,∞) R: (-∞,∞) C: D: (-∞,0) R: (0,∞) B: D: (-∞,∞) R: (0,∞) D: D: (-∞,0) R: (-∞,0) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 What is the domain and range of y = |x| B: D: (-∞,∞) R: (0,∞)

12 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

13 © Mark E. Damon - All Rights Reserved A: log 3 125 = 5 C: log 125 5 = 3 B: log 5 125 = 3 D: log 5 3 = 125 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Write 5 3 = 125 in logarithmic form B: log 5 125 = 3

14 © Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $1,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

15 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

16 © Mark E. Damon - All Rights Reserved A: log 7 5x + log 7 y – log 7 z C: (log 7 x 5 +y) – log 7 z B: (5log 7 x + log 7 y) – log 7 z D: 5log 7 x + y - z 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Expand the following B: (5log 7 x + log 7 y) – log 7 z

17 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

18 © Mark E. Damon - All Rights Reserved A: 1,953,125 C: 0.95424 B: 45 D: 59,049 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Solve log 9 x = 5 D: 59,049

19 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

20 © Mark E. Damon - All Rights Reserved A: x = 2 C: x = 5 B: x = 15 D: x = 12 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Solve log 2 12x = log 2 (9x+15) C: x = 5

21 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

22 © Mark E. Damon - All Rights Reserved A: t = 3.12 C: t = 8.482 B: t = 7.76 D: t = 4 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 The population of rabbits in an area is modeled by the equation P(t) = 7e 0.32t, where P is the population in thousands and t is the time in years. How long will it take the population to reach 19(thousand) A: t = 3.12 years

23 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

24 © Mark E. Damon - All Rights Reserved A: 5π/2 C: 1.25π B: 5π/4 D: 5/4π 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 B: 5π/4 What is 225 degrees in radians?

25 © Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $32,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

26 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

27 © Mark E. Damon - All Rights Reserved A: 1/√3 C: √2 B: √3/3 D: √3 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 What is tan(240°)? D: √3

28 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

29 © Mark E. Damon - All Rights Reserved A: Decrease in family income throughout the years C: Increase in family income per year B: Change in income D: Change in years over time 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 C: Increase in family income per year The table shows the median income of U.S. Families for the period 1970-1998. What is the meaning of the slope?

30 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

31 © Mark E. Damon - All Rights Reserved A: 3, 6, 6, 10 C: 3x 2 +6x+2+ 10÷(x-2) B: 3x 3 +6x 2 +2x+10 D: 3x 3 +6x 2 +2x+10÷(x-2) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 (3x 3 – 6x + 2) ÷ (x – 2) C: 3x 2 +6x+2+ 10÷(x-2)

32 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

33 © Mark E. Damon - All Rights Reserved A: 4m(4n-1m) + 28n – 7m C: (4n)(4m+7) B: (4m+7)(4n-m) D: (4m +1)(4n – 1) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 B: (4m+7)(4n-m) Factor 16mn−4m 2 +28n−7m

34 © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

35 © Mark E. Damon - All Rights Reserved C: 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Find the roots of y = 3x 2 +4x+6 A: B: D: C:

36 © Mark E. Damon - All Rights Reserved YOU WIN $1 MILLION DOLLARS!


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