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Who Wants to Be a Millionaire? 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000.

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Presentation on theme: "Who Wants to Be a Millionaire? 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000."— Presentation transcript:

1 Who Wants to Be a Millionaire? 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000

2 $100 Identify the characteristics of the line. A: Positive slope, positive y-interceptB: Positive slope, positive x-intercept C: Negative slope, positive y-interceptD: Negative slope, negative x-intercept 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

3 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top $100 Identify the characteristics of the line. A: Positive slope, positive y-interceptB: Positive slope, positive x-intercept C: Negative slope, positive y-interceptD: Negative slope, negative x-intercept y-intercept is positive x-intercept is positive The line slopes downward from left to right  slope is negative.

4 A: Quadrant IB: Quadrant II C: Quadrant IIID: Quadrant IV 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top $200 A point located 4 units to the left of and 6 units above (3, –2) is in which quadrant?

5 A: Quadrant IB: Quadrant II C: Quadrant IIID: Quadrant IV 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top $200 A point located 4 units to the left of and 6 units above (3, –2) is in which quadrant?

6 $300 (3, –7) is a solution to which equation? A: 3x – 7y = 21B: 4x – y = 19 C: 7x + 3y = 10D: 2x + y = 1 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

7 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top $300 (3, –7) is a solution to which equation? A: 3x – 7y = 21B: 4x – y = 19 C: 7x + 3y = 10D: 2x + y = 1 4x – y = 19 4(3) – (-7) = 19 12 + 7 = 19  Substituting x = 3 and y = -7 into equation B results in a true statement.

8 $500 Which pairs of lines intersect at a right angle? A: y = 2x + 4 and y = ½x – 3B: y = x + 5 and y = –x – 3 C: y = 4x – 5 and y = 4x + 1D: y = 2x – 5 and y = 2x + ½ 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

9 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: y = 2x + 4 and y = ½x – 3B: y = x + 5 and y = –x – 3 C: y = 4x – 5 and y = 4x + 1D: y = 2x – 5 and y = 2x + ½ $500 Which pairs of lines intersect at a right angle? The slope of y = x + 5 and y = -x – 3 are 1 and -1, respectively. They’re reciprocals are opposites.

10 $1000 Which equation represents a line with slope ½? A: 2x + y = 1B: x + 2y = 1 C: –2x – y = 1D: x – 2y = 1 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

11 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: 2x + y = 1B: x + 2y = 1 C: –2x – y = 1D: x – 2y = 1 $1000 Which equation represents a line with slope ½? Write each equation in slope-intercept form. The coefficient on x is the slope: x – 2y = 1 

12 $2000 Which line does not have a positive y-intercept? A: y = –3x + 2B: –y = x – 3 C: 2x – 4y = 1D: x = 2y – 9 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

13 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: y = –3x + 2B: –y = x – 3 C: 2x – 4y = 1D: x = 2y – 9 $2000 Which line does not have a positive y-intercept? Slope-intercept forms…

14 $4000 Which equation represents a line perpendicular to the x-axis? A: 2x = 4B: x = 2y C: y = 7D: x = –3y + 1 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

15 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: 2x = 4B: x = 2y C: y = 7D: x = –3y + 1 $4000 Which equation represents a line perpendicular to the x-axis? A line perpendicular to the x- axis must be vertical. A vertical line has an equation of the form x = k.

16 $8000 A function is defined as f = {(4, 3), (3, 4), (2, 4), (0, 7), (–5, 0)}. Which ordered pair represents the y-intercept? A: (-5, 0)B: (2, 4) C: (0, 7)D: (4, 3) 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

17 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: (-5, 0)B: (2, 4) C: (0, 7)D: (4, 3) $8000 A function is defined as f = {(4, 3), (3, 4), (2, 4), (0, 7), (–5, 0)}. Which ordered pair represents the y-intercept? For a y-intercept, the x-coordinate must be zero.

18 $16,000 Given g(x) = –x 2 + 4x, what is g(–2)? A: –12B: 0 C: –4D: 12 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

19 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: –12B: 0 C: –4D: 12 $16,000 Given g(x) = –x 2 + 4x, what is g(–2)? g(–2) = –(–2) 2 + 4(–2) = –4 – 8 = –12

20 $32,000 What is the average rate of change of the function between points A and B? A: 2B: 3 C: 4D: 5 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

21 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: 2B: 3 C: 4D: 5 $32,000 What is the average rate of change of the function between points A and B? The average rate of change is the slope.

22 $64,000 Which statement is NOT true? A: f(2) = 1B: f(0) = –2 C: f(x) = –1 for x = –3.D: f(x) = 5 for x = 4. 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

23 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: f(2) = 1B: f(0) = –2 C: f(x) = –1 for x = –3.D: f(x) = 5 for x = 4. $64,000 Which statement is NOT true? The value f(0) is the value of y when x = 0. f(0) = 1 xy

24 $125,000 Which function defined by y = f(x) represents the condition that “f(x) is 3 less than the square of x.” A:B: C:D: 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

25 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A:B: C:D: $125,000 Which function defined by y = f(x) represents the condition that “f(x) is 3 less than the square of x.”

26 A: The graph is a parabola opening downward. B: The graph has a y-intercept of (0, –5). C: The graph has x-intercepts of (1, 0) and (5, 0). D: The graph is a line with slope –1. 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top $250,000 Which statement is NOT true about the graph of y = –x 2 + 6x – 5?

27 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A: The graph is a parabola opening downward. B: The graph has a y-intercept of (0, –5). C: The graph has x-intercepts of (1, 0) and (5, 0). D: The graph is a line with slope –1. $250,000 Which statement is NOT true about the graph of y = –x 2 + 6x – 5? The graph is a parabola (not a line) because the equation is quadratic y = a 2 + bx + c (rather than linear y = mx + b).

28 $500,000 What is the domain? A:B: C:D: 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

29 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A:B: C:D: $500,000 What is the domain? is defined for x  3. The denominator is nonzero for 1. 2.

30 $1 Million What is the range? A:B: C: D: 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top

31 3  $300 2  $200 1  $100 6  $2000 5  $1000 4  $500 9  $16,000 8  $8000 7  $4000 12  $125,00 11  $64,000 10  $32,000 15  $1 Million 14  $500,000 13  $250,000 Back to Top A:B: C: D: $1 Million What is the range? The graph is a parabola opening downward. The vertex is the highest point. The greatest value of f(x) occurs when the square term is 0.

32 Congratulations!


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