Title: Let
1(No Transcript)
2Lets Get Ready
To Play Some . . .
3J
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O
P
A
R
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Y
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
4Jeopardy Board
Final Jeopardy
Finding Intercepts Changing Slopes and y-intercepts Meaning of the Slope and Intercepts Problem Solving
100 100 100 100
200 200 200 200
300 300 300 300
400 400 400 400
500 500 500 500
5Finding Intercepts 100
What are the x- and y-intercepts of the function
graphed below?
Board
Answer
6Finding Intercepts 100
What are the x- and y-intercepts of the function
graphed below?
F (4, 0) and (5, 0) G (4, 0) and (0, 5) H (0,
4) and (5, 0) J (0, 4) and (0, 5)
( , )
0 5
( , )
4 0
Board
7Finding Intercepts 200
Which coordinate points represent the x- and
y-intercepts of the graph shown below?
Board
Answer
8Finding Intercepts 200
Which coordinate points represent the x- and
y-intercepts of the graph shown below?
F (0, -4) and (6, 0) G (-4, 0) and (0, 6) H (6,
0) and (-4, 0) J (0, 6) and (0, -4)
( , )
0 6
( , )
-4 0
Board
9Finding Intercepts 300
What is the y-intercept of the function f (x)
3(x - 2)?
Board
Answer
10Finding Intercepts 300
What is the y-intercept of the function f (x)
3(x - 2)?
F 3 G 1 H -2 J -6
y mx b
slope
m __________
y-intercept
b __________
f (x) 3(x - 2)
Simplify
f (x) 3x - 6
Board
11Finding Intercepts 400
What are the coordinates of the y-intercept of
the line represented by the equation 4x 2y 10?
Board
Answer
12Finding Intercepts 400
What are the coordinates of the y-intercept of
the line represented by the equation 4x 2y 10?
y mx b
slope
m __________
y-intercept
b __________
4x 2y 10
Solve for y
-4x
-4x
2y -4x 10
2
2
2
y -2x 5
Board
13Finding Intercepts 500
What are the coordinates of the x-intercept of
the equation -3y 8 - 2x?
Board
Answer
14Finding Intercepts 500
What are the coordinates of the x-intercept of
the equation -3y 8 - 2x?
-3y 8 2x
Solve for y
-3
-3
-3
Check
-3y 8 2x
(x, y)
-3(0) 8 2(4)
?
?
Board
15Changing Slopes and y-intercepts 100
Which best describes the effect on the graph of
f (x) 4x 8 if the y-intercept is changed to
-3? F The slope decreases. G The new line
passes through the origin. H The x-intercept
increases. J The y-intercept increases.
Board
Answer
16Changing Slopes and y-intercepts 100
Which best describes the effect on the graph of
f (x) 4x 8 if the y-intercept is changed to
-3? F The slope decreases. G The new line
passes through the origin. H The x-intercept
increases. J The y-intercept increases.
y 4x 8
y 4x 3
4x 8 4x 3
Slope
Origin?
x-intercept
y-intercept
4
4
no
no
(-2, 0)
(3/4, 0)
(0, 8)
(0, -3)
Board
17Changing Slopes and y-intercepts 200
What will happen to the slope of line p if the
line is shifted so that the y-intercept increases
and the x-intercept remains the same? F The
slope will change from positive to negative. G
The slope will change from negative to
positive. H The slope will increase. J The slope
will decrease.
Board
Answer
18Changing Slopes and y-intercepts 200
What will happen to the slope of line p if the
line is shifted so that the y-intercept increases
and the x-intercept remains the same? F The
slope will change from positive to negative. G
The slope will change from negative to
positive. H The slope will increase. J The slope
will decrease.
Board
19Changing Slopes and y-intercepts 300
Given the function y 3.54x - 54.68, which
statement best describes the effect of increasing
the y-intercept by 33.14? A The new line is
parallel to the original. B The new line has a
greater rate of change. C The x-intercept
increases. D The y-intercept decreases.
Board
Answer
20Changing Slopes and y-intercepts 300
Given the function y 3.54x - 54.68, which
statement best describes the effect of increasing
the y-intercept by 33.14? A The new line is
parallel to the original. B The new line has a
greater rate of change. C The x-intercept
increases. D The y-intercept decreases.
Board
21Changing Slopes and y-intercepts 400
The line represented by the equation y x 3 is
graphed below. Which of the following best
describes the effect on the graph when the slope
is doubled? A The y-intercept increases. B The
y-intercept decreases. C The x-intercept
increases. D The x-intercept decreases.
Board
Answer
22Changing Slopes and y-intercepts 400
The line represented by the equation y x 3 is
graphed below. Which of the following best
describes the effect on the graph when the slope
is doubled? A The y-intercept increases. B The
y-intercept decreases. C The x-intercept
increases. D The x-intercept decreases.
y mx b
y __x 3
1
slope
m __________
m __________
1
? 2 2
y-intercept
b __________
b __________
3
Board
y 2x 3
23Changing Slopes and y-intercepts 500
The graph of a line is shown below. If the slope
of this line is multiplied by -1 and the
y-intercept decreases by 2 units, which linear
equation represents these changes? A y -2x
1 B y -x 1 C y -x - 1 D y - x - 1
Board
Answer
24Changing Slopes and y-intercepts 500
The graph of a line is shown below. If the slope
of this line is multiplied by -1 and the
y-intercept decreases by 2 units, which linear
equation represents these changes? A y -2x
1 B y -x 1 C y -x - 1 D y - x - 1
3
b _______
2 1
? -1 -2
y mx b
m _______
slope
m __________
y -2x 1
y-intercept
b __________
Board
25Meaning of the Slope and Intercepts 100
A toy car travels 40 feet in 8 seconds. How fast
did it travel?
Board
Answer
26Meaning of the Slope and Intercepts 100
A toy car travels 40 feet in 8 seconds. How fast
did it travel?
Board
27Meaning of the Slope and Intercepts 200
The table show the price a car repair shop
charges in labor. It includes a one time garage
fee plus an hourly rate. What is the hourly rate?
Number of hours Charge of labor
2 160
3 210
4 260
8 460
Board
Answer
28Meaning of the Slope and Intercepts 200
The table show the price a car repair shop
charges in labor. It includes a one time garage
fee plus an hourly rate. What is the hourly rate?
Number of hours Charge of labor
2 160
3 210
4 260
8 460
50/hr
The hourly rate is _____________
50
1 hr
50/1hr 50/hr
50
1 hr
50/1hr 50/hr
200
4 hr
200/4hr 50/hr
Board
29Meaning of the Slope and Intercepts 300
The graph below shows the number of caramel
apples and the number of popcorn balls that the
students in the math club need to sell at their
bake sale to raise 200. Which of the following
numbers represents the maximum number of
caramel-apple sales needed to raise exactly 200?
A 50 B 40 C 25 D 20
Board
Answer
30Meaning of the Slope and Intercepts 300
The graph below shows the number of caramel
apples and the number of popcorn balls that the
students in the math club need to sell at their
bake sale to raise 200. Which of the following
numbers represents the maximum number of
caramel-apple sales needed to raise exactly 200?
A 50 B 40 C 25 D 20
Board
Answer
31Meaning of the Slope and Intercepts 300
The graph shows the amount of water in a tank
with a small leak in it. How fast is the water
leaking out of the tank in m3 per min
Amount of water (m3)
Board
Answer
Minutes
32Meaning of the Slope and Intercepts 300
The graph shows the amount of water in a tank
with a small leak in it. How fast is the water
leaking out of the tank in m3 per min
The water is leaking at _______ m3/min
0.15
Amount of water (m3)
3/20 m3/min
Board
0.15 m3/min
Minutes
33Meaning of the Slope and Intercepts 400
The line segment on the graph shows the altitude
of a landing airplane from the time its wheels
are lowered to the time it touches the ground.
Which of the following best describes the slope
of the line segment? F The plane descends about
1 foot per 8 seconds. G The plane descends about
8 feet per second. H The plane descends about 1
foot per 2 seconds. J The plane descends about
2 feet per second.
Board
Answer
34Meaning of the Slope and Intercepts 400
The line segment on the graph shows the altitude
of a landing airplane from the time its wheels
are lowered to the time it touches the ground.
Which of the following best describes the slope
of the line segment? F The plane descends about
1 foot per 8 seconds. G The plane descends about
8 feet per second. H The plane descends about 1
foot per 2 seconds. J The plane descends about
2 feet per second.
8 ft/sec
Board
35Meaning of the Slope and Intercepts 500
What are the slope and y-intercept of a line that
contains the point (5, -1) and has the same
y-intercept as x - 3y 6?
Board
Answer
36Meaning of the Slope and Intercepts 500
What are the slope and y-intercept of a line that
contains the point (5, -1) and has the same
y-intercept as x - 3y 6?
A m b 6 B m 5 b -2
C m b -2 D m 3 b 6
x - 3y 6
Solve for y
-x
-x
-3y -x 6
Board
-3
-3
-3
y (1/3)x 2
37Problem Solving 100
Mike was driving his car at a constant speed of
50 miles per hour. Then he accelerated at a
constant rate for 7 seconds. What additional
information is needed to determine the speed of
the car after 7 seconds? A The speed of the car
prior to acceleration B The length of time Mike
accelerated C The speed limit D The rate of
acceleration
Board
Answer
38Problem Solving 100
Mike was driving his car at a constant speed of
50 miles per hour. Then he accelerated at a
constant rate for 7 seconds. What additional
information is needed to determine the speed of
the car after 7 seconds? A The speed of the car
prior to acceleration B The length of time Mike
accelerated C The speed limit D The rate of
acceleration
Board
39Problem Solving 200
Rinaldos school sold all of the tickets to a
band concert. The tickets cost 8 each. The
auditorium where the concert was held had 39
rows, with 56 seats in each row. Which of the
following is a correct method for Rinaldo to
calculate the total amount of ticket sales? F
Rinaldo can multiply 56 by 8 and then add 39. G
Rinaldo can add 39 and 56 and then multiply by
8. H Rinaldo can multiply 39 and 56 and then
multiply by 8. J Rinaldo can add 56 and 8
and then multiply by 39.
Board
Answer
40Problem Solving 200
Rinaldos school sold all of the tickets to a
band concert. The tickets cost 8 each. The
auditorium where the concert was held had 39
rows, with 56 seats in each row. Which of the
following is a correct method for Rinaldo to
calculate the total amount of ticket sales? F
Rinaldo can multiply 56 by 8 and then add 39. G
Rinaldo can add 39 and 56 and then multiply by
8. H Rinaldo can multiply 39 and 56 and then
multiply by 8. J Rinaldo can add 56 and 8
and then multiply by 39.
Board
41Problem Solving 300
As part of a classroom assignment, Kimberly was
given this geoboard to model the slope of
If the peg in the lower left-hand corner
represents the origin on a coordinate plane,
where could Kimberly place a rubber band to
represent the given slope? F From peg V to peg
W G From peg V to peg X H From peg V to peg Y J
From peg V to peg Z
Board
Answer
42Problem Solving 300
As part of a classroom assignment, Kimberly was
given this geoboard to model the slope of
If the peg in the lower left-hand corner
represents the origin on a coordinate plane,
where could Kimberly place a rubber band to
represent the given slope? F From peg V to peg
W G From peg V to peg X H From peg V to peg Y J
From peg V to peg Z
Board
43Problem Solving 400
Nikolay made a fruit drink composed of 36 orange
juice. The rest of the fruit drink was grape
juice. If Nikolay drank x ounces of the fruit
drink, which equation best represents y, the
number of ounces of grape juice he drank?
Board
Answer
44Problem Solving 400
Nikolay made a fruit drink composed of 36 orange
juice. The rest of the fruit drink was grape
juice. If Nikolay drank x ounces of the fruit
drink, which equation best represents y, the
number of ounces of grape juice he drank?
36 orange means 64 grape
Board
45Problem Solving 500
The function g(x) 1.25 0.70(x - 1) represents
the charge for parking in the mall garage for x
number of hours. Which statement best represents
the formula for this charge? A The charge
consists of a set fee of 1.25 plus 0.70 for
every hour parked. B The charge consists of a
flat rate of 0.70 for every hour
parked. C The charge consists of 1.25 for the
first hour parked and 0.70 for each additional
hour. D The charge consists of 1.25 for every
hour parked plus a set fee of 0.70.
Board
Answer
46Problem Solving 500
The function g(x) 1.25 0.70(x - 1) represents
the charge for parking in the mall garage for x
number of hours. Which statement best represents
the formula for this charge? A The charge
consists of a set fee of 1.25 plus 0.70 for
every hour parked. B The charge consists of a
flat rate of 0.70 for every hour
parked. C The charge consists of 1.25 for the
first hour parked and 0.70 for each additional
hour. D The charge consists of 1.25 for every
hour parked plus a set fee of 0.70.
Board
47Final Jeopardy Category
Finding Intercepts
Board
48Final Jeopardy Question
What is the y-intercept of the function graphed
below?
A -24 B -21 C -18 D -9
Answer
49Final Jeopardy Answer
What is the y-intercept of the function graphed
below?
A -24 B -21 C -18 D -9
Slope _________
-14
-4
Board
50Final Jeopardy Answer
What is the y-intercept of the function graphed
below?
A -24 B -21 C -18 D -9
-7
Slope _________
( , )
8 10
-2
(0, -18)
One more time ________
-7
(4, -4)
-2
Board
(2, -11)