2. Let’s Get Ready
To Play Some . . .

3. E O P A R D Y
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY J

4. Jeopardy Board 100 200 300 400 500 Final Jeopardy Finding Intercepts
Changing Slopes and y-intercepts
Meaning of the Slope and Intercepts
Problem Solving
100
200
300
400
500

5. Finding Intercepts 100
What are the x- and y-intercepts of the function graphed below?
Board
Answer

6. Finding 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

7. Finding Intercepts 200
Which coordinate points represent the x- and y-intercepts of the graph shown below?
Board
Answer

8. Finding 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

9. Finding Intercepts 300 What is the y-intercept of the function
f (x) = 3(x − 2)?
Board
Answer

10. Finding 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

11. Finding Intercepts 400
What are the coordinates of the y-intercept of the line represented by the equation 4x + 2y = 10?
Board
Answer

12. Finding Intercepts 400 A (0, 2) B (0, ) C (0, 5) D (0, 10) y = mx + b
What are the coordinates of the y-intercept of the line represented by the equation 4x + 2y = 10?
A (0, 2)
B (0, )
C (0, 5)
D (0, 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

13. Finding Intercepts 500
What are the coordinates of the x-intercept of the equation −3y = 8 − 2x?
Board
Answer

14. Finding Intercepts 500
What are the coordinates of the x-intercept of the equation −3y = 8 − 2x?
-3y = 8 – 2x
Solve for y
F (−2, 0)
G (0, − )
H ( , 0)
J (4, 0) -3 -3 -3
Check:
-3y = 8 – 2x
(x, y)
-3(0) = 8 – 2(4)  
Board

15. Changing 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

16. Changing 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

17. Changing 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

18. Changing 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

19. Changing 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

20. Changing 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

21. Changing 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

22. Changing 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
m = __________
slope
m = __________ 1
 2 = 2
y-intercept
b = __________
b = __________ 3
Board
y = 2x + 3

23. Changing 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

24. Changing 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
b = _______ 3
– 2 = 1
 -1 = -2
y = mx + b
m = _______
m = __________
slope
y = -2x + 1
y-intercept
b = __________
Board

25. Meaning of the Slope and Intercepts 100
A toy car travels 40 feet in 8 seconds. How fast did it travel?
Board
Answer

26. Meaning of the Slope and Intercepts 100
A toy car travels 40 feet in 8 seconds. How fast did it travel?
Board

27. Meaning 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

28. Meaning 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 _____________
$50/1hr = $50/hr
1 hr
$50
$50/1hr = $50/hr
1 hr
$50
$200/4hr = $50/hr
4 hr
$200
Board

29. Meaning 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

30. Meaning 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

31. Meaning 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

32. Meaning 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

33. Meaning 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

34. Meaning 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

35. Meaning 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

36. Meaning 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 -x -x
Solve for y
-3y = -x + 6
Board -3 -3 -3
y = (1/3)x – 2

37. Problem 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

38. Problem 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

39. Problem Solving 200
Rinaldo’s 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

40. Problem Solving 200
Rinaldo’s 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

41. Problem 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

42. Problem 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

43. Problem 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?
F y = x H y = x
G y = x J y = x
Board
Answer

44. Problem 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
F y = x H y = x
G y = x J y = x
Board

45. Problem Solving 500
The function g(x) = (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

46. Problem Solving 500
The function g(x) = (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

47. Final Jeopardy Category
Finding Intercepts
Board

48. Final Jeopardy Question
What is the y-intercept of
the function graphed below?
A −24
B −21
C −18
D −9
Answer

49. Final Jeopardy Answer What is the y-intercept of
the function graphed below?
A −24
B −21
C −18
D −9
Slope = _________
-14 -4
Board

50. Final 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)