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
Back to Top
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
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:
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!
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