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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

$100 Identify the characteristics of the line.

A: Positive slope, positive y-intercept B: Positive slope, positive x-intercept

C: Negative slope, positive y-intercept D: 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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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$100 Identify the characteristics of the line.

A: Positive slope, positive y-intercept B: Positive slope, positive x-intercept

C: Negative slope, positive y-intercept D: Negative slope, negative x-intercept

y-intercept is positive

x-intercept is positive

The line slopes downward from left to right slope is negative.

A: Quadrant I B: Quadrant II

C: Quadrant III D: Quadrant IV

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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$200 A point located 4 units to the left of and 6 units above (3, –2) is in which quadrant?

A: Quadrant I B: Quadrant II

C: Quadrant III D: Quadrant IV

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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$200 A point located 4 units to the left of and 6 units above (3, –2) is in which quadrant?

$300(3, –7) is a solution to which equation?

A: 3x – 7y = 21 B: 4x – y = 19

C: 7x + 3y = 10 D: 2x + y = 1

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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$300(3, –7) is a solution to which equation?

A: 3x – 7y = 21 B: 4x – y = 19

C: 7x + 3y = 10 D: 2x + y = 1

4x – y = 194(3) – (-7) = 1912 + 7 = 19

Substituting x = 3 and y = -7 into equation B results in a true statement.

$500 Which pairs of lines intersect at a right angle?

A: y = 2x + 4 and y = ½x – 3 B: y = x + 5 and y = –x – 3

C: y = 4x – 5 and y = 4x + 1 D: 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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: y = 2x + 4 and y = ½x – 3 B: y = x + 5 and y = –x – 3

C: y = 4x – 5 and y = 4x + 1 D: 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.

$1000 Which equation represents a line with slope ½?

A: 2x + y = 1 B: x + 2y = 1

C: –2x – y = 1 D: x – 2y = 1

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: 2x + y = 1 B: x + 2y = 1

C: –2x – y = 1 D: 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 1

2

12 1

2y x y x

$2000 Which line does not have a positive y-intercept?

A: y = –3x + 2 B: –y = x – 3

C: 2x – 4y = 1 D: x = 2y – 9

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: y = –3x + 2 B: –y = x – 3

C: 2x – 4y = 1 D: x = 2y – 9

$2000 Which line does not have a positive y-intercept?

: 3 2A y x : 3B y x

1:

2

1

4C y x

1 9:

2 2D y x

Slope-intercept forms…

$4000 Which equation represents a line perpendicular to the x-axis?

A: 2x = 4 B: x = 2y

C: y = 7 D: x = –3y + 1

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: 2x = 4 B: x = 2y

C: y = 7 D: 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.

$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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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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.

$16,000 Given g(x) = –x2 + 4x, what is g(–2)?

A: –12 B: 0

C: –4 D: 12

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: –12 B: 0

C: –4 D: 12

$16,000 Given g(x) = –x2 + 4x, what is g(–2)?

g(–2) = –(–2)2 + 4(–2) = –4 – 8 = –12

$32,000 What is the average rate of change of the function between points A and B?

A: 2 B: 3

C: 4 D: 5

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: 2 B: 3

C: 4 D: 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.

5 ( 3) 84

4 2 2m

$64,000 Which statement is NOT true?

A: f(2) = 1 B: 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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: f(2) = 1 B: 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

x y

$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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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23f x x 3f x x

23f x x 2 3f x x

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

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12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: B:

C: D:

23f x x 3f x x

23f x x 2 3f x x

$125,000 Which function defined by y = f(x) represents the condition that “f(x) is 3 less than the square of x.”

2 3f x x

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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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$250,000 Which statement is NOT true about the graph of y = –x2 + 6x – 5?

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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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 = –x2 + 6x – 5?

The graph is a parabola (not a line) because the equation is quadraticy = a2 + bx + c (rather than linear y = mx + b).

$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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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5( )

3 4

xf x

x

19x x 3x x

4x x 3 and 19x x x

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: B:

C: D:

19x x 3x x

4x x 3 and 19x x x

$500,000 What is the domain?

5( )

3 4

xf x

x

is defined for x 3.3x

The denominator is nonzero for

3 4 0x

3 4x 3 16 19x x

1.

2.

$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 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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23 2 4f x x

, 2,

, 4 , 3

3 $300 2 $200 1 $100

6 $2000 5 $1000 4 $500

9 $16,000 8 $8000 7 $4000

12 $125,0011 $64,00010 $32,000

15 $1 Million14 $500,00013 $250,000

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A: B:

C: D:

, 2,

, 4 , 3

$1 Million What is the range? 2

3 2 4f x x

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.

Congratulations!