MA.912.A.5.4: Solve algebraic proportions. Sunday, June 05, 2016

MA.912.A.5.4: Solve algebraic proportions. Sunday, June 05, / 5

MA.912.A.5.4: Solve algebraic proportions. Sunday, June 05, 2016

MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Sunday, June 05, 2016

MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Sunday, June 05, 2016

MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Sunday, June 05, 2016 The students in Adam's science class measure and graph the speed of a slow-moving snail. The snail moves at a constant rate, and after the investigation, the students use their data to create the following graph. Based on this graph, which function would best represent the snail's speed if x = time and f(x) = distance?

MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Sunday, June 05, 2016

MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Sunday, June 05, 2016

MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Sunday, June 05, 2016 An ice cream shop charges $5 for an ice cream cone with one scoop of ice cream and an additional $0.75 for each extra scoop of ice cream. Which function represents the total cost of an ice cream cone with x extra scoops of ice cream? A. f(x) = $5x + $0.75 B. f(x) = $5x − $0.75 C. f(x) = $0.75x + $5 D. f(x) = $0.75x − $5

MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Sunday, June 05, 2016 Given the function f(x) = 5 − 2x, what is the value of x if f(x) = 3? A.x = 3 B.x = 1 C. x = −1 D. x = 11

MA.912.A.2.3: Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Sunday, June 05, 2016 The cost of a New York City taxi fare can be described by the function f(x) = $3 + $0.50x, where x represents the number of miles the taxi drives. What is the value of f(x) for a 12-mile taxi ride? A. $ B. $ C. $ D. $

MA.912.A.3.8: Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope- intercept form, standard form, or point-slope form. Sunday, June 05, 2016 Two years after being put into service, the value of a Duplicator Color Copier is $4,400. After 5 years, the copier has a value of $2,700. Assuming that the change in value over time can be modeled with a linear function, which graph could be used to find the value of the copier after eight years? A B C D

MA.912.A.3.8: Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope- intercept form, standard form, or point-slope form. Sunday, June 05, 2016 When placed into a glass of ice water, a Fahrenheit thermometer reads 32 degrees, while a Celsius thermometer reads 0 degrees. When placed in a pot of boiling water, the Fahrenheit thermometer reads 212 degrees, and the Celsius thermometer reads 100 degrees. Which graph could Malinda use to determine the temperature in degrees Fahrenheit when she knows the temperature in degrees Celsius? ABC D

MA.912.A.3.8: Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope- intercept form, standard form, or point-slope form. Sunday, June 05, 2016 Ten doughnuts were already made when Carlos starts making doughnuts, and Carlos can make 5 doughnuts per minute. The table shows the number of doughnuts made over 8 minutes. Which graph correctly displays the data in the table? A BC D

MA.912.A.3.8: Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope- intercept form, standard form, or point-slope form. Sunday, June 05, 2016 Farmer's Restaurant has served 25 breakfasts by 7:00 am. On average, the restaurant serves 15 breakfasts per hour between 7:00 am and 12:00 noon. Which graph correctly represents the number of breakfasts served at Farmer's Restaurant? AB DC

MA.912.A.3.8: Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope- intercept form, standard form, or point-slope form. Sunday, June 05, 2016 Monte plans to put the $20 his grandmother gave him for his birthday into a savings account and then save $15 a week for eight weeks from money he earns caring for dogs. The amount in his savings account can be modeled by the function: f(w) = w where f(w) is the amount in his savings and w is the number of weeks he puts money into his account. Which graph correctly shows the amount of money in Monte's savings account over the eight weeks? ABC D

MA.912.A.3.9: Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Sunday, June 05, 2016 Carla is one year older than James. The relationship between their ages can be represented by the equation: C = J + 1 If Carla's age is graphed as a function of James's age, what will be the coordinates of the x- and y-intercepts for the graph of this function? A.x-intercept: (0, 1) y-intercept: (-1, 0) B.x-intercept: (James) y-intercept: (Carla) C.x-intercept: (1, 0) y-intercept: (1, 0) D.x-intercept: (-1, 0) y-intercept: (0, 1)

MA.912.A.3.9: Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Sunday, June 05, 2016 On a coordinate graph, Celeste places a red marble at the point (2, 2) and a green marble at the point (4, 1). If she draws a line that passes through both of these points, which set of coordinates represents the x- and y-intercepts of the line? A.x-intercept: (0, 6) y-intercept: (3, 0) B.x-intercept: (6, 0) y-intercept: (0, 3) C.x-intercept: (0, 3) y-intercept: (6, 0) D.x-intercept: (3, 0) y-intercept: (0, 6)

MA.912.A.3.9: Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Sunday, June 05, 2016 The graph below shows the rate at which a cross-country runner burns calories. What is the slope of the line? A. B. 15 C. D. 1

MA.912.A.3.9: Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Sunday, June 05, 2016 The diagram below shows the dimensions of Lopez family's house. What is the slope of the portion of the roof that is represented by the solid red line? Gridded Response: 1/3

MA.912.A.3.9: Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Sunday, June 05, 2016 The equation 3x − 2y = −16 can be used to determine the size of a recommended refrigerator, where y represents the volume of the refrigerator in cubic feet, and x represents the number of people (greater than 2) living in the residence. When this equation is graphed on a coordinate plane, where does the line intercept the y-axis? Gridded Response: 8

MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Sunday, June 05, 2016 The line shown in the graph below can be represented by the equation y = +. Which of the following is the equation for a line that is perpendicular to this line, passing through the point (6, 4)? A. y = + 4 B. y = − + 8 C. y = + 4 D. y = − + 8

MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Sunday, June 05, 2016 Robert sharpened pencils for the school math contest. He sharpened 8 pencils in 2 minutes and 32 pencils in 8 minutes. If he continues at the same rate, which equation can be used to predict the number of pencils he can sharpen in 30 minutes? Let p represent the number of pencils and t represent the number of minutes. A.p + t = 30 B.4t = p C. 8p = 3t D. = 4

MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Sunday, June 05, 2016 In an isometric drawing, parallel edges of a three-dimensional object are represented as parallel lines when the object is drawn in two dimensions. In the isometric drawing of the cube below, line is drawn to form one edge of the cube. The equation y = x + 3 can be used to represent line. Line k is then drawn to form a parallel edge of the cube, passing through (5, 4). Which of the following shows the equation for line k? A. y = x − 1 B. y = −x + 1 C. y = x + 5 D. y = −x − 5

MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Sunday, June 05, 2016

MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Sunday, June 05, 2016 The total cost to park a car in a parking garage that has an entry fee of $4 can be determined by using the equation c = 2h + 4 where c is the total cost and h is the number of hours the car is in the garage. The garage informed Robert that the entry fee had changed and that his bill for parking his car for 6 hours is $20. Which equation models the cost to park his car for h hours with the new entry fee? A. c = 2h + 20 B. c = h + 6 C. c = 2h + 8 D. c = h + 14

MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Sunday, June 05, 2016 Justin measured the flow of water through a hose. He recorded that 6 gallons of water flowed in 3 minutes and 42 gallons of water flowed in 21 minutes. If the rate of flow stays the same, which equation can be used to predict the number of gallons of water flow in 56 minutes? Let g represent the number of gallons of water and t represent the number of minutes. A.g + t = 56 B.gt = 56 C. g = 2t D. = 2

MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Sunday, June 05, 2016 The front of the National Museum of the American Indian is parallel to Maryland Avenue, as shown in the map below. The line y = can be used to represent the path of Maryland Avenue. If the front façade of the museum passes through the point (0, 10), which equation can be used to represent a line that corresponds to the front of the museum? A. y = + 10 B. y = − + 10 C. y = 25 − D. y = 25 +

MA.912.A.3.10: Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. Sunday, June 05, 2016 Line L passes through the points (1, 4) and (4, 9). Line m passes through the point (3, 2) and is parallel to line L. What is the equation for line m? A.y = − 3 B.y = − + 3 C.y = − 3 D.y = − + 3

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016 Which of the graphs below does NOT have a range that includes all real numbers?

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016 Which of the following graphs does NOT have a domain that includes all real numbers?

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016 What is the range of the relation shown in the graph below? A.All y ≤ 5 B.All x ≤ 5 C.All values of y D.All values of x

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016 Which is the minimum of the range in the following relation? {(2, 1), (−1, −2), (3, 2), (−2, −3), (0, −1)} A. −2 B. −3 C. (2, 1) D. (−2, −3)

MA.912.A.2.4: Determine the domain and range of a relation. Sunday, June 05, 2016 Which is the maximum of the domain in the following relation? {(2, 1), (−1, −2), (3, 2), (−2, −3), (0, −1)} A. 3 B. 5 C. (3, 2) D. (0, −1)