Name. Algebra I Period

Transcription

1 Name Algebra I Period

2 1 Simplify the following expression: 1 (8 2 4) In slope-intercept form, what is the equation of a line with an x-intercept of -3 and a y-intercept of 5? Record your answer and fill in the bubbles. 5 What is the slope of the equation 2x 5y = 10? 2 What is the equation, in slopeintercept form, of the line containing the points (7, 5) and (11, 9)? 3 A gardener knows that the number of potatoes harvested varies directly with the number of potato plants grown. Last year the gardener harvested 189 potatoes from 9 potato plants. If the gardener plants 14 potato plants this year, how many potatoes can he expect to harvest? 6 To which of the following situations can the function y = 5x + 10 best be applied? A The number of miles a person walks if he walks for 5 hours at the rate of 10 miles per hour B The total weight on a scale if 5 pounds is placed there initially and a series of 10-pound weights are added to it C D The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips The combined length of 5 boards, each 10 feet longer than the width of a doorway

3 7 Determine the slope of the line that passes through (-4, -2) and (5, 1). 11 Write an equation in slope-intercept form for 3y 6x = 4. 8 Solve: 2 (6x + 30) = x + 5(x + 4) 2x What is the x-intercept of the graph of 2x + 5y = 10? 9 Solve: x What is the slope of the graph of 3x + 5y = 15? 10 Find an equation of the line through (-1, 1) and (2, 3) in point-slope form. 14 What is the value of y? 6 18 y 5 y 1

4 15 Which of the following has 2 as a zero of the function? A f(x) = x + 2 B f(x) = x 2 C f(x) = 2x D f(x) = 2x Which statement best describes the relationship between the graphs of the equations 2x + 3y = -12 and 2 y x 4? 3 A The graphs are two perpendicular lines. B The graphs are two parallel lines. 16 Which of the following equations describes the same function shown in the table below? x y C The graphs have the same y- intercept. D The graphs have the same x- intercepts. Factor by grouping ax + 3xz + 4ay + yz A y = 5x 2 B y = 5x + 2 C D 1 y x y x a 2 + 3a 8a 2 17 Factor: x m 2 + 4mn + 3mn + 3n 2 18 Factor: 3x 4 48x 2

5 23 When 2x 3y = 6 is solved for y, what equation results? 28 Simplify 1 (8x 4y) 3(2x 3y) What is the equation of the line that passes through (3, -4) and (0, 0) in point-slope form? 29 Solve: 3x + 4(x 8) x = 3 (10x + 15) Solve y = 4x + 1 if the domain is {0, 1, 2}. 30 Find the slope-intercept form of an equation of the line passing through (0, 6) and (9, 8). 26 Solve 6(x + 5) = -2(x 3). 27 Write y = 2x 3 in standard form.

6 31 Write an equation in point-slope form of the line that passes through (2, -5) and (6, 3). Find the value of x so that the function has the given value. 35 f(x) = 8x + 9; g(x) = -5x + 10; Write the slope-intercept form of the equation of the line that passes through (-5, 3) and (0, 4). Write a system of linear equations and then solve. 37 At a sale on winter clothing, Ryan bought two pairs of gloves and four hats for $ David bought two pairs of gloves and two hats for $ What were the prices for the gloves and hats? 33 What is the slope-intercept form of the equation of a line with a slope of 5 and a y-intercept of -8? 34 What is the zero of the function f(x) = 4x 12? 38 The cost for tickets to see a play are shown in the table. A group of 11 adults and students bought tickets for the play. If the total cost was $156, how many of each type did they buy? Ticket Cost adult $15 student $12

7 39 Alexis invests $1500 into two savings accounts, one earning 4% annual interest and the other earning 6% annual interest. At the end of one year, Alexis has earned $72 in interest. How much did she invest at each rate? 42 Solve: 3x 2y = 6 5x + 7y = Solve: -5c + 3d = Two angles are supplementary. The measure of one angle is 10 more than three times the other. Find the measure of each angle. -10c + d = Solve: y = 6x 41 The length of a rectangle is three times the width. The sum of the length and the width is 24 inches. What is the length of the rectangle? 2x + 3y = -20

8 45 Graph the following system of linear equations. y 2x 6 6x 2y 8 47 Simplify: 48 Simplify: (3 xy ) mn 2 m Simplify: 2 x 2 x y y 46 Graph the following system of linear equations. 1 y x y x Simplify: (2 xy ) 51 Simplify: (2ab 2 c 2 )(4a 3 b 2 c 2 )(-3bc 4 )

9 52 Solve ax 5 = b for a. 58 3w w Parallelogram ABCD is similar to parallelogram MNOP. What is the length of MN? Write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of each function. Identify the vertex as a maximum or a minimum. 59 y = x Factor each trinomial, if possible. 54 x 2 4x a 2 18a = y = -x 2 4x 4 56 p 2 = 9p x 2 + 7x y = x 2 + 2x + 3

10 Solve each equation by using the Quadratic Formula. 65 What is the measure of the volume of the rectangular prism? 62 x 2 + 2x 3 = 0 63 v 2 4v + 6 = 0 66 What is the measure of the third side of the triangle below where P is the measure of the perimeter? 64 3m 2 1 = -8m 67 What is the volume of the prism below in terms of x?

11 68 Which of the following relations is also a function? 71 Give the domain and range of the relation. A (-3, 6), (-1, 3), (2, 4), (2, 8) B (-7, -7), (-7, -4), (1, 0), (3, 9) C (-8, 9), (-5, 6), (1, 6), (6, 9) D (7, -8), (5, -3), (5, -4), (3, -8) 69 What are the roots of x 2 3x 12 = 6? A -3 and 6 B -2 and 9 C -6 and 3 D -9 and 2 A D: 0 < x < 7; R: 1 < y < 7 B D: 1 < x < 6; R: 1 < y < 7 C D: 2 < x < 6; R: 4 < y < 7 D D: 1 < x < 7; R: 1 < y < 6 70 Tell whether the slope of the line is positive, negative, zero or undefined. 72 Write an equation, in point-slope form, of the line that passes through the point (7, 3) and (8, 6). 73 Factor completely:10ax 2 23ax 5a.

12 74 What are the domain and range of the function shown in the graph below? 76 What are the zeroes of the quadratic function graphed below? 77 What are the zeroes of the quadratic function graphed below? 75 Which equation corresponds to the graph shown? 78 Which value of x makes the equation A y = x 2 7x 12 a x a 3 a 8 a 6 true? B y = x 2 x 12 C y = x 2 + 5x + 12 A x = 0 D y = x x 1 B x = 1 C x = 2 D x = 3

13 79 Which graph represents an exponential function? 80 The diagram below shows a brace on a section of a fence. Which is closest to the length of the brace? A B C D 6.3 ft 6.7 ft 9.0 ft 22.5 ft 81 The base of a 30-foot ramp is placed 26 feet away from a building. About how high from the ground does the ramp reach? A B C D 7.5 ft 15 ft 26 ft 40 ft

14 82 Is the diagram below a function? 85 Function? 83 Function? Which of the statements best describes the graph? Which equation represents the Linear Parent Function? A y = mx + b B y = x C y = -x A y -x + 1 B y -x + 1 C y = -x + 1 D y < -x + 1 D y = 0

15 87 Write the equation of the following line in point-slope form. 89 Circle all points that are solutions to the system of inequalities graphed. A y = x + 4 B y 3 = -⅓(x 3) C y + 5 = ⅓(x 3) D y + 3 = -3(x 5) 88 Jaden and Jalan went to the mall to restock their DVD and CD collections. Jaden bought 3 DVDs and 7 CDs and spent $133. Jalan spent $71 and bought one DVD and 5 CDs. Find the cost of each item.

16 90 Graph: x Find the perimeter of the triangle x + 2 A x 6 B Find the perimeter and area of the shape. 2x + 5 3x C Find the volume of the figure below. D

17 94 Thalia works at a grocery store after school. She is paid $5.50 per hour. Her weekly salary, s, is described by the function s = 5.5h, where h is the number of hours she works in a week. What is the dependent quantity in this functional relationship? F The number of hours she works in a week 96 The table shows the independent and dependent values in a functional relationship. Which function best represents this relationship? Independent Dependent G H J The number of dollars she is paid per hour The total salary for a week The number of days she works in a week F f(x) = 2x 2 2x + 1 G f(x) = 2x 2 + 2x + 1 H f(x) = x J f(x) = 8x The number of pretzels, p, that can be packaged in a box with a volume of V cubic units is given by the equation p = 45V In this relationship, which is the dependent variable? 97 Write inequalities to represent the domain and range of the function graphed below. A 10 B 45 C D p V

18 98 What is the domain of the function shown on the graph? F 3 x 3 G 3 x 3 H 5 x 4 J 5 x 4 99 Identify the inverse variation that is graphed. A xy = 30 B xy = -30 C y = -30x D y = 30x

19 Tables: Each table shows a relationship between x and f(x) or y. Match each function rule to its correct table. Determine if the relationship is linear or quadratic

20 104 Find the perimeter of the shape below. 2 2x 4 x 2 4x 2 x 2 4x 2 2 5x 3x 9 F 17x 3 G 7x x + 17 H 9x 2 5x 9 J 7x 8 x The product of two consecutive odd integers is 143. If x represents the smaller odd integer, then which equation can be used to find the integers? A x x B x x C D xx ( 1) 143 xx ( 2) How would the graph of the function y = x be affected if the function were changed to y = x 2 + 1? F G H J The graph would shift 3 units up. The graph would shift 3 units down. The graph would shift 3 units to the right. The graph would shift 3 units to the left.

21 Look at the polynomial expression modeled below with algebra tiles. x 2 + 6x + 5 x 2 + 5x + 4 x 2 x 1 Which of the following expressions is equivalent to the modeled polynomial expression? F 2x 11x 9 G 2x 30x H 2x 11x 9 J 2x 2 7x 9

22 109 Ling made an error trying to solve this problem. Where did Ling make her mistake? A B She made a mistake distributing the multiplication. She made a mistake subtracting 15y from both sides. C She made a mistake simplifying D She made a mistake dividing 32 by When graphed, which function would appear to be shifted 2 units up from the graph of f(x) = x 2 + 1?

23 111 Which of the following is the graph of y 3 x 2? A C B D

24 112 Which figure shows the graphic solution to the system of equations below? y y 3x 1 2 x 4 F H G J

25 113 The graph of a quadratic function is shown below. Which of the following could be the equation of the graph? A y x 2 4 B y x 2 4 C D y x 2 3 x 4 2 y x 3x Which expression best describes the area of the model below? F 2x 2 3x + 1 G -2x 2 3x 6 H 2x J x 2 + 2x 3

26 115 The graph of the equation y = x 2 3x 4 is shown below. For what value or values of x is y = 0? A x = -1 B x = -4 C x = -1 and x = 4 D x = 1 and x = -4

27 116 Which inequality does the shaded region of the graph represent?

28 117 Which inequality is shown on the graph below?

29 118 Which graph best represents the solution to this system of inequalities? 2x y 1 2x 5y 10

30 119 Which is one of the solutions to the equation 2x 2 x 4 = 0? 120 What are the solutions to the equation 3x = 7x?

31 121 What is the solution set of the quadratic equation 8x 2 + 2x + 1 = 0? 122 Which best represents the graph of y = -x 2 + 3?

32 123 What are the real roots of the function in the graph? A 3 B -6 C -1 and 3 D -6, -1, and Which quadratic function, when graphed, has x-intercepts of 4 and -3?

33 125 On average, Jay can ride his bike 12 miles in one hour. The function m = 12h represents the number of miles, m, he can ride in h hours. Which quantity in this relationship is the dependent quantity? A B C D The number of miles he rides The number of hours he rides The miles per hour he rides Not here 126 Zachary is making an isosceles triangle to use as a model in math class. Its perimeter will be 24 inches. Zachary uses the equation b = 24 2s to find b, the length of the triangle s third side, in terms of s, the length of each of its two congruent sides. What is the dependent variable in this equation? F G b s H 24 J How does the graph of f(x) = x 2 7 compare to the graph of g(x) = x 2 + 5? A B C D The vertex of f(x) is 12 units lower. The vertex of f(x) is 12 units higher. The vertex of f(x) is 2 units to the left. The vertex of f(x) is 2 units to the right.

34 128 Which of the following tables does not represent a functional relationship? F x y G x y H x y J x y

35 129 At which points does the graph of f(x) = 2x 2 + 6x + 4 intersect the x-axis? A (-4, 0) and (-1, 0) B (-2, 0) and (-1, 0) C (1, 0) and (2, 0) D (-2, 0) and (2, 0) 130 Consider the formula, d = 52t + 240, where d represents the distance in miles and t represents the amount of time in hours. Which is the dependent quantity in this functional relationship? F G H J the total distance traveled the distance traveled after lunch the time traveled after lunch the average rate at which they drove 131 The length of a rectangle is 5 inches greater than its width, n. The area of the rectangle can be expressed as a function of the width: f(n) = n 2 + 5n. Which is the dependent quantity in this functional relationship? A B C D the area of the rectangle the length of the rectangle the width of the rectangle the difference between the length and width of the rectangle

36 132 Mr. Rodriguez wrote this system of equations on the board: 3x + y = -6 6x + 2y = -12 He asked the class to predict the number of solutions there would be to the system. Which of the following answers is correct? F G H J No solution Exactly one solution Infinitely many solutions Two solutions 133 Monica sells stereo systems that cost $150 each, plus 8.25% sales tax. In addition to her daily income of $72, she earns a 10% commission on each stereo she sells. The amount of money Monica earns each day can be expressed by the function f(x) = (150)s, where s is the number of stereo systems she sells. Which is the independent quantity in this functional relationship? A B C D the amount of sales tax on each stereo system the amount of money Monica earns the number of stereo systems Monica sells the number of hours Monica works each day

37 134 Which set of ordered pairs does not represent a function? F {(-3, 4), (-1, 4), (2, 4), (5, 4)} G {(-8, 1), (-4, 0.5), (4, 0.5), (8, 1)} H {(2, 0), (2, -4), (4, 2), (4, -6)} J 3,, 4,1, 5,, 6,2 135 What is the domain of the function? A -2 y 2 B -4 x 6 C -4 y 2 D -2 x 6 E -2 x 2

38 136 Walter and Ann make a table to report the data about 6 of the high school basketball team players. If their table shows a functional relationship between the data sets, which of the following could be the table Walter and Ann make? F Height in Inches Weight in Pounds G Height in Inches Weight in Pounds H Height in Inches Weight in Pounds J Height in Inches Weight in Pounds What is the parent quadratic function?

39 138 A dentist made the scatterplot below to show the number of cavities her patients had as it relates to the number of times they flossed their teeth each week. Which of the following best describes the correlation for the data? F G H J Positive Correlation Negative Correlation Nonlinear correlation No correlation

40 139 What is the vertex of the graph of the quadratic function f(x) = x 2 + 6x + 10? A (3, -1) B (-3, -1) C (-3, 1) D (3, 1) 140 The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked. What does the slope of the graph represent? F The number of hours of work it takes to earn $320 G H J The amount of money earned per hour The amount earned for 40 hours of work The number of hours worked per dollar earned

41 141 Which of the following graphs best represents a system of equations that has no solution? 142 The perimeter of a rectangle is 42 centimeters. The length of the rectangle can be represented by (x + 4), and its width can be represented by (2x 7). What are the dimensions of this rectangle in centimeters? F Length = 10 and width = 11 G Length = 8 and width = 13 H Length = 6 and width = 15 J Length = 12 and width = 9

42 143 A family will travel 350 miles from their house in order to reach Dallas, TX. Which inequality can be used to find all possible values of t, the time it will take this family to reach Dallas in hours, if they travel at an average speed of at least r miles per hour? A B C D t 350r t r t r 2 t 350r 144 In which step below does a mistake first appear in simplifying the expression 0.5(-12c + 6) 3(c + 4) + 10(c 5)? Step 1: -6c + 3 3(c + 4) + 10(c 5) Step 2: -6c + 3 3c (c 5) Step 3: -6c + 3 3c c 50 Step 4: 7c 41 F Step 1 G Step 2 H Step 3 J Step 4

43 145 A graph is shown below. Which of the following equations are represented by the graph? I. 3 y x 2 2 II. 2x 3y 6 III. y ( x 2)( x 3) IV. 2 y 2 ( x 6) 3 A B C D II and IV I and III II and III I and IV

44 146 Which table shows the same relationship as y = -x 2 + 3x? 147 The value of y varies directly with x. Which function represents the relationship between 20 x and y if y when x = 30? 3 A B C D y = 200x y y y 2 9 x x x

45 148 A table of values for the exponential function f is shown below. Which situation could describe this function? F G H J The value of a house increases by approximately The value of a house increases by $3,850 per year. The value of a house decreases by approximately The value of a house decreases by $3,850 per year. 3 2 % per year % per year What is the solution set for the quadratic equation x 2 16 = 0? A {4} B {4, -4} C {256} D {256, -256}

46 150 Students at a school will sell hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be ordered this year. When the order arrives, the total number of hats the students will have can be determined using the function f(x) = 48x + 37, where x represents the number of boxes ordered. If the number of hats per box changes so that the situation is modeled by the function h(x) = 24x + 37, then how many fewer hats will the students have available to sell if they still order 20 boxes. Record your answer and fill in the bubbles on your answer document. 151 A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house. The customer provides the paint. The total charge to paint a customer s house was $950. How many hours did the painter spend painting this house? A B C D 2 12 h 3 28 h 23 h Not here

47 152 The slope and y-intercept of the graph of f were changed to make the graph of g, as shown below. Which statement describes the changes that were made to the graph of f to make the graph of g? F G H J The slope was multiplied by 2, and the y-intercept was decreased by 5 to make the graph of g. The slope was multiplied by graph of g. 1, and the y-intercept was increased by 5 to make the 2 The slope was multiplied by -2, and the y-intercept was decreased by 5 to make the graph of g. The slope was multiplied by 2 1, and the y-intercept was increased by 5 to make the graph of g.

48 153 Which graph shows a function with a domain of all real number greater than 7? 154 A print shop charges a fixed amount per photocopy and gives a 10% discount off the total cost of the photocopies. The total cost is a function of the number of photocopies made. What is the independent quantity in this situation? F G H J The total cost of the photocopies The price per photocopy The amount of the discount The total number of photocopies made

49 155 A table of values for the quadratic function f is shown below. If 3 is one solution to f(x) = 0, what is the value of the other solution? Record your answer and fill in the bubbles on your answer document.

50 156 There are 9 books stacked on a shelf. The thickness of each book is either 1 inch or 2 inches. The height of the stack of 9 books is 14 inches. Which system of equations can be used to determine x, the number of 1-inch thick book in the stack, and y, the number of 2-inch thick books? F x + y = 14 2x + y = 9 G x + y = 14 x + 2y = 9 H x + y = 9 x + 2y = 14 J x + y = 9 2x + y = The population of a town is currently 9,000. The function p = 9, t 2 can be used to estimate p, the population of the town t years from now. Based on this function, which statement is true? A B C D The population of the town is increasing at a constant rate. The population of the town will reach 10,000 between 11 and 12 years from now. The population of the town will increase by 256 people two years from now. The population of the town will increase and then decrease. 158 What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -0.6? F 3x + 5y = 125 G 3x + 5y = 77 H 3x + 5y = 123 J 3x + 5y = 115

51 159 The late fee for overdue books at a library is $0.25 per day per book, with a maximum late fee of $5.00 per book. Which graph models the total late fee for 3 books that were checked out on the same day and are overdue? 160 For the function w, w(9) = -7, and w(-7) = 9. If y = w(x), what is the value of y when x = -7? Record your answer and fill in the bubbles on your answer document.

52 161 The graph of the quadratic function h passes through the points (-4, 32), (3, 4), (5, 14), and (7, 32). Which of the following shows the same relationship as h? 162 An airplane s altitude in feet during its descent for landing can be found using the function f(x) = -300x + 30,000, where x represents the horizontal distance in miles from where the plane begins its descent. After new government regulations become law, the airplane s descent will be modeled by the function g(x) = -300x + 30,500. Which statement describes this change? F G H J The airplane starts its descent from an altitude 500 feet higher. The airplane starts its descent from an altitude 500 feet lower. The airplane descends 500 feet per horizontal mile faster. The airplane descends 500 feet per horizontal mile slower.

53 163 The graph of y = 3x 2 2 is shown below. If the coefficient of x 2 is changed from 3 to another positive number to create a new function, how will the graph of the new function compare with the graph of the original function? A B C D The x-intercepts of the new graph will be the same as the x-intercepts of the original graph. The vertex of the new graph will be different from the vertex of the original graph. The new graph will be wider or narrower than the original graph. The new graph will open in the opposite direction as the original graph.

54 164 The sophomore class needs a combined total of 216 medium and large T-shirts for field day. The number of medium T-shirts needed is three times the number of large T-shirts needed. Based on this information, would it be reasonable for the sophomore class to order 72 large T-shirts and 144 medium T-shirts? F G No, because the number of medium T-shirts is not 3 times the number of large T-shirts. No, because the number of large T-shirts is not 3 times the number of medium T-shirts. H Yes, because the total number of T-shirts is 216. J Yes, because the number of large T-shirts is 3 1 of the total number of T-shirts. 165 Which inequality is equivalent to 7x 2y > 8? 7 A y > x B y > x C y < x D y < x If the graph of y = 9x + 4 is translated 4 units up, which equation describes the new graph? F y = 9x + 8 G y = 13x + 4 H y = 13x + 8 J y = 4x + 4

55 167 The function y = x 2 + x 6 is graphed below. What are the values of x when x 2 + x 6 = -4? A x = -4 and x = 6 B x = -2 and x = 1 C x = -3 and x = 2 D x = -5 and x = Which expression is equivalent to -6x 2 11x 4? F (3x + 7)(3x 3) G (-3x + 4)(2x 1) H (3x 7)(3x + 3) J (-3x 4)(2x + 1)

56 4 169 If y = x 2, what is the value of x when y = -9? 5 A B C D What is the value of x in the solution to the system of equations below? 6x + 3y = 13 3x y = 4 F 1 G H J

57 171 What is the zero of the linear function graphed below? Record your answer and fill in the bubbles on your answer document.

58 172 Which graph does not represent y as a function of x? The graph of the line p represents y x 1. If the slope of line p is multiplied by to create line r, which statement about the graphs of the two lines is true? A Line r intersects line p. B Line r is parallel to line p. C Line r is 10 units above line p. D Line r is 10 units below line p.

59 174 A store manager begins each shift with the same total amount of money. She keeps $200 in a safe and distributes the rest equally to the 5 cashiers in the store. This situation can ( 200) be represented by the function y x. What does the variable x represent in this 5 situation? F G H J The total amount of money the manager has at the beginning of a shift The total amount of money the manager has at the end of a shift The amount of money each cashier has at the beginning of a shift The amount of money each cashier has at the end of a shift 175 Which coordinate pair is in the solution set for y < 1 6x? A (1, 0) B (1, -1) C (0, 1) D (-1, 1)

60 176 The set of ordered pairs below represents some points on the graph of function f. What is the parent function of f? F y = x G y = 2 x H y = x 2 J y = x 177 The average annual rainfall for a particular city is 33.2 inches. In the first 30 weeks of this year, the city received a total of 9.7 inches of rain. If it is expected to rain between 1.5 and 2.1 inches per week through the end of the year, what is a reasonable number of additional weeks needed for this city to reach its average annual rainfall? A B C D 23 weeks 13 weeks 9 weeks 16 weeks 178 A high school band held a bake sale. The number of cupcakes sold was four more than twice the number of cookies sold. The band sold a total of 52 cupcakes and cookies. How many cupcakes were sold? F 28 G 16 H 36 J 24

61 179 The number of ferryboat trips, f(c), needed to transport c cars in 1 day can be found using c the function f ( c). If there are no more than 5,000 cars transported by ferryboat 20 daily, what is the range of the function for this situation? A The set of all integers greater than or equal to 5,000 B The set of all integers from 0 to 5,000 C The set of all integers greater than or equal to 250 D The set of all integers from 0 to An architect is designing an office building with n floors that will have an FM radio antenna m tall on its roof. Each floor of the building will be 3.9 m high. Which function can be used to find the total height of the building in meters, including the FM antenna? F h(n) = 15.85n G h(n) = 3.9n H h(n) = 3.9n J h(n) = 19.75n

62 181 The graph below shows the water level in a tank being drained at a constant rate. If the rate at which the tank is drained is changed to 3 inches per hour and the initial water level stays the same, how would the time it takes to empty the tank be affected? A B C D It would take 4 fewer hours. It would take 1.5 more hours. It would take 2 fewer hours. It would take 2 more hours. 182 What are the x-intercepts of the graph of the quadratic function f(x) = 5x 2 + 4x 1? F G 1 and and 1 5 H 0 and -1 J 2 2 and 1 5 5

63 183 A weightlifter is adding plates of equal weight to a bar. The table below shows the total weight, including the bar, that he will lift depending on the total number of plates on the bar. Based on this information, which statement is true? A B C D The bar weighs 35 lbs. without any plates. The bar weighs 70 lbs. without any plates. The bar weighs 45 lbs. without any plates. The bar weighs 25 lbs. without any plates. 184 What is the range of the function shown below? F {-7, -2, 0, 5} G {-9, -4, -1} H {-9, -7, -4, -2, -1, 0, 5} J {-1}

64 185 A teacher collected data on 20 students for two different quizzes. The scatterplot below shows the relationship between the number of points scored on Quiz 1 and the number of points scored on Quiz 2. Which statement describes the data? A B C D The number of points scored on Quiz 2 was less than the number of points scored on Quiz 1 for any student who scored at least 50 points on Quiz 1. The number of points scored on Quiz 2 was greater than the number of points scored on Quiz 1 for any student who scored 50 or fewer points on Quiz 1. The number of points scored on Quiz 2 was greater than the number of points scored on Quiz 1 for any student who scored at least 50 points on Quiz 1. The number of points scored on Quiz 2 was less than the number of points scored on Quiz 1 for any student who scored 50 or fewer points on Quiz 1.

65 186 Two points on the graph of a quadratic function are shown on the grid below. What is the equation for the axis of symmetry of the graph of this function? F x = -3 G y = -3 H x = -5 J y = -5

66 187 The dishwasher at a restaurant is loaded with the same number of dishes every time it is used. The table below shows the total number of dishes washed as a function of the number of times the dishwasher is used. Based on the data in the table, what is the total number of dishes that will have been washed when the dishwasher is used 9 times? Record your answer and fill in the bubbles on your answer document.

67 188 The first six numbers in a pattern are shown below. If the pattern continues, which expression can be used to find the n th number in the pattern? F G H J 2n 3 2 n 3 2 n 6 2n Which set of ordered pairs contains only points that are on the graph of the function y = 12 3x? A {(-3, -27), (0, 0), (6, 54)} B {(-18, 10), (-6, 6), (18, -2)} C {(-5, 27), (-1, 15), (8, -12)} D {(-7, -9), (-4, 0), (2, 18)}

68 190 Which inequality can be represented by the graph below? F y x + b G x y -b H x + y b J -y x + b 191 Which expression is equivalent to? z y x z y x A y z x B y z x C z y x D z y x 2 4 4