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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Problem 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

Problem 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

Final Jeopardy Category Finding Intercepts Board

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

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

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)