What is the area of the trapezoid?

Transcription

1 1. The area of a trapezoid is found using the formula where A is the area, h is the height, and b 1 and b 2 are the lengths of the bases. 2. What is the product of (3x+5) and (x+4)? a. 3x c. 3x x + 20 b. 3x 2 + 9x + 20 d. 3x 2 + 7x + 20 What is the area of the trapezoid? a. A = 4x + 2 c. A = 2x 2 + 4x - 21 b. A = 4x + 8 d. A = 2x 2 + 8x The expression, represents the height in feet of a rocket t seconds after it is launched. The expression represents the height in feet of a second rocket t seconds after it is launched. Which expression is equivalent to the difference in the heights of the two rockets in feet? a. 20t + 4 b. 20t - 4 c. -32t t + 4 d. -32t t The perimeter of the triangle below is 10x 2-6x + 1 5x + 7? 8x 2-4x What is the length of the missing side? a. 2x 2-5x - 8 b. 2x 2-7x - 6 c. 8x 2 + x + 7 d. 18x 2-5x + 8

2 5. Which polynomial is equivalent to (z - 12) 2? 6. If and, what is? a. z 2-24z b. z a. 2x 2-2 c. z z b. 2x 2-8 d. 2z - 24 c. x 2 + x - 2 d. x 2 + x Kerry wants to remodel his house by knocking down a wall between two adjoining, rectangular rooms. On the blueprints, the width of both rooms is defined by the expression (x+3). 8. Which expression represents the area of the composite figure shown below? If the length of the first room is (2x + 7) and the length of the second room is (2x - 1) which expression models the area of the new room once the wall is knocked down? a. A = 6x + 12 b. A = 4x c. A = 4x x - 4 d. A = 4x x + 18 a. x x b. x x c. 2x x d. 2x x + 405

3 9. Which set of ordered pairs represents the x-intercepts of the function? 10. Which of these could represent the factors of the polynomial graphed below? a. (x + 3)(x + 2) b. (x - 3)(x - 2) c. (x - 3)(x + 2) d. (x + 3)(x - 2) 11. A school purchases boxes of candy bars. Each box contains 50 candy bars. Each box costs $30. How much does the school have to charge for each candy bar to make a profit of $10 per box? a. $0.40 b. $0.50 c. $0.80 d. $ Zoe spent $3200 for his new computer. The computer's value will depreciate by 35% each year. How much will his computer be worth in 2 years? a. $392 b. $960 c. $1,120 d. $1,352

4 13. A school is purchasing snacks for a summer program. The company charges $1.50 per snack plus a fixed delivery charge. There are 25 students who receive a snack. If the school spends $42.25, how much does the company charge for delivery? a. $37.50 b. $17.25 c. $11.50 d. $ The length of a rectangular backyard is 6 more than the width of the backyard. The perimeter of the backyard is 44 feet. What is the area of the backyard? a. 112 square feet b. 187 square feet c. 264 square feet d. 475 square feet 15. The admission fee to a state fair is $8.00. Each ride costs an additional $4.00. Karen only has $ Which inequality could be used to determine the number of rides, x, Karen can go on? 16. The sum of three consecutive integers is 51. What is the value of the largest integer? a. 16 b. 17 c. 18 d. 19

5 17. a. 5 b. 11 c. 19 d. 23 For a set of three consecutive odd integers, three times the largest integer is 7 less than twice the sum of the other two integers. What is the largest integer in the set? 18. Jessie's bus ride to school is 5 minutes more than the time of Robert's bus ride. Which graph shows the a. b. possible times of Jessie's and Robert's bus rides? c. d. 19. The floor of a rectangular cage has a length 4 feet greater than its width, w. James will increase both dimensions of the floor by 2 feet. Which equation represents the new area, N, of the floor of the cage? a. N = w 2 + 4w b. N = w 2 + 6w c. N = w 2 + 6w + 8 d. N = w 2 + 8w Nick deposited $500 in a bank that gives him 5% interest compounded annually. Which equation can be used to find the total amount, in dollars, in Nick's account after x years? a. T = x b. T = x c. T = 500(0.95) x d. T = 500(1.05) x

6 21. When Brendan kicks a football, its height in feet can be modeled by the equation in seconds, after Brendan kicks the ball. What is the value of t when the football reaches its maximum height, rounded to the nearest tenth. 22. Jane invested $755 in an account that earns interest at a rate of 8.5%, compounded annually. Which equation can be used to determine the value, v (in dollars), of Jane's investment after t years? a. 0 b. 2.3 c. 2.7 d The population of Austinberg on January 1, 2000 was 1.4 million. The population has decreased at a rate of 12% each year since. Which equation models the population (in millions), p, of Austinberg t years after January 1, 2000? 24. A colony of bacteria grows at a rate of 8% every two hours. The colony began with 100 bacteria. Which equation can be used to determine the number of bacteria, B, in the colony after t hours?

7 25. The population of a town is growing by 2% every 3 years. There were 1,000 people living in the town in Which equation models the population of the town, p, t years after 1990? 26. a. Gabriela and her mother sell sweatshirts for $25 and tie dyed t-shirts for $ They are positive more than 10 t-shirts and at least 2 sweatshirts will be sold this weekend. If they want to make at least $400, which system could be used to determine the possible numbers of sweatshirts, s, and t- shirts, t, they would need to sell? c. b. d. 27. An amusement park charges $17 for each adult ticket and $6 for each child ticket. One day, the park earned $3,640 in ticket sales. Let x represent the number of adult tickets sold. Let y represent the number of child tickets sold. If 400 tickets were sold on this day, which system of equations can be used to find the number of each type of ticket sold? a. c. 28. A system of inequalities is shown below. Which point is a viable solution to the system? a. (1, -2) b. (4, -3) b. d. c. (6, 2) d. (8, -4)

8 29. Energy and mass are related by the formula E=mc 2. m is the mass of the object c is the speed of light. Which equation finds m, given E and c? 30. The volume (V) of a rectangular pyramid can be determined by using the formula Where l = length of the rectangle, w = the width of the rectangle, and h = the height of the pyramid, what is the result of solving the equation for w? 31. The final velocity, v, of a marble rolling on a table in a straight line can be calculated using the formula,, where u represents the initial velocity, a represents acceleration, and t is the time elapsed. Which formula can be used to calculate the acceleration, a, of the marble? 32. What value of x satisfies the equation? a. -4 c. 6 b. -2 d. 10

9 33. What is the value of x in the equation 34. What is the solution of the inequality a. 6.0 c b d In order to solve the system of equations using the elimination method, which of the following steps could be used? 36. What is the solution to the system of equations below? a. Multiply the first equation by 2 and then add that result to the second equation. b. Multiply the first equation by 3 and then add that result to the second equation. c. Multiply the second equation by 2 and then add that result to the first equation. d. Multiply the second equation by 3 and then add that result to the first equation. a. (-5, -17) b. (-5, 3) c. (-2, -3) d. (3, -13)

10 37. On Saturday, Carrie went to the store and bought 4 loaves of bread and 1 gallon of milk for a total of $ The next weekend, she went to the same store and spent $11.50 on 2 loaves of bread and 2 gallons of milk. The price has not changed. a. $2.25 b. $2.50 c. $3.50 d. $4.80 What is the price for one gallon of milk? 38. A book store sells used books. Paperback books cost $1.00 Hardback books cost $5.00 The store sold 100 books and made $260 from the sale. a. 20 b. 40 c. 60 d. 80 How many paperback books did the store sell? 39. Which point is on the graph of in the coordinate plane? 40. Which point lies on the graph of? a. (0, 7) b. (7, 1) c. (3, 11) d. (3, 21) a. (-3, -21) b. (-1, -15) c. (14, 27) d. (16, 30)

11 41. Which graph contains the point (3, 8)? 42. Lucy and Barbara began saving money the same week. The table below shows the models for the amount of money Lucy and Barbara had saved after x weeks. After how many weeks will Lucy and Barbara have the same amount of money saved? a. 1.1 weeks b. 1.7 weeks c. 8 weeks d. 12 weeks 43. Two functions are shown below. 44. Two functions are shown below. For approximately what values of x does f(x) = g(x)? a b c d At approximately what value of x does f(x) = g(x)? a. 0.0 b c d

12 45. What scenario could be modeled by the graph below? a. The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most Which graph represents the solution of this system of inequalities? a. c. b. d. b. The number of pounds of apples, y, minus half the number of pounds of oranges, x, is at most 5. c. The number of pounds of apples, y, plus two times the number of pounds of oranges, x, is at most 5. d. The number of pounds of apples, y, plus half the number of pounds of oranges, x, is at most a. b. Which graph represents the inequality? c. Charles has a budget of $75 to spend on a combination of music downloads and DVD rentals. Each music download costs $1.00 and each DVD rental costs $2.50. This information can be represented by the inequality below: 1.00m v 75 where m represents the number of music downloads, v represents the number of DVD rentals. Which graph represents the possible combination of music downloads and DVD rentals Charles could choose and still spend no more than $ a. c. b. d. d.

13 49. Which point is a solution to y > -3x + 6? 50. Which graph shows the solution set to y > -3x + 2? a. (0, 6) b. (1, -2) c. (1, 2) d. (4, 5) a. b. c. d. 51. A quadratic function crosses the x-axis at and (6, 0). Which of the following is the factored form of this function's related quadratic expression? a. (3x - 2)(x - 6) b. (3x + 2)(x + 6) c. (2x - 3)(x - 6) d. (2x + 3)(x + 6) 52. Which expression is equivalent to 5x 2 + 7x - 6? a. (5x + 6)(x - 1) b. (5x - 6)(x + 6) c. (5x + 3)(x - 2) d. (5x - 3)(x + 2)

14 53. Which expression is equivalent to 2x 2-10x - 48 in factored form? 54. Which point is an x-intercept of the graph of y = 2x 2-7x + 6? a. 2(x + 2)(x - 12) b. 2(x + 3)(x - 8) c. 2(x + 4)(x - 6) d. 2(x - 3)(x + 8) a. (-3, 0) b. (-2, 0) c. (2, 0) d. (6, 0) 55. What is the value of the larger zero of the function defined by f(x) = 2x 2 + 7x - 4? 56. Which monomial represents?

15 57. Simplify: 58. Which monomial represents 59. The table below shows the cost of a pizza based on the number of toppings. 60. An athlete is training to run a marathon. She plans to run 2 miles the first week. She increases the distance by 8% each week. Which function models how far she will run in the nth week? Which function represents the cost of a pizza with n toppings? a. C(n) = (n - 1) b. C(n) = 1.5n + 12 c. C(n) = 12 + n d. C(n) = 12n a. t(n) = 1.08(2) n b. t(n) = 2(1.08) n c. t(n) = 1.08(2) (n-1) d. t(n) = 2(1.08) (n-1)

16 61. The first four terms of a sequence are shown below. 1, 4, 7, 10 Which formula can be used to determine the nth term in the sequence? 62. A theater has 22 seats in the first row, 25 seats in the second row, 28 seats in the third row, and so on. How many seats are there in the fifteenth row? a. a n = 3n - 2 b. a n = 3n + 1 c. a n = n - 3 d. a n = n + 3 a. 64 seats b. 67 seats c. 350 seats d. 375 seats 63. Cell phone Company Y charges a $10 start-up fee plus $0.10 per minute, x. Cell phone Company Z charges $0.20 per minute, x, with no start-up fee. Which function represents the difference in cost between Company Y and Company Z? 64. Emma and Kyle combine their earnings to pay their bills. Emma's earnings can be modeled by the equation E(x) = 22.75x + 74, where x is the number of hours worked in a week. Kyle's earnings are modeled by the equation K(x) = 17.85x + 127, where x is the number of hours if they each work the same number of hours in a week? a. C(x) = x b. C(x) = 40.60x c. C(x) = 40.60x + 53 d. C(x) = 4.90x - 53

17 65. A family wants to carpet two rooms in their home. The area of the first room can be represented by the function f(x) = 2x 2-7x The area of the second room can be represented by the function g(x) = 6x 2-11x What function, h(x), shows the combined total area? 66. The function f(x) = 9.75x + 62 models the amount of money that Hector earned working x hours in a week. The function g(x) = 7.5x + 84 models the amount of money that Carl earned working x hours in the same week. Which function, h(x), models the difference in Hector's and Carl's earnings? a. h(x) = 8x x + 40 b. h(x) = 8x 2-18x - 40 c. h(x) = 8x 2 + 4x - 20 d. h(x) = 8x 2-4x + 20 a. h(x) = 17.25x - 22 b. h(x) = 17.25x c. h(x) = 2.25x - 22 d. h(x) = 2.25x The sequence below shows the number of trees a nursery plants each year. 2, 8, 32, 128,... Which formula could be used to determine the number of trees the nursery will plant next year, NEXT, if the number of trees planted this year, NOW, is known? 68. A geometric sequence is shown below. 24, 12, 6,... Which is the explicit formula for this sequence?

18 69. Which inequality represents the range of the exponential function 70. Which graph displays a function with a range of y -4? c. a. a. y 0 or y 0 b. 0 < y 1 c. y 2 d. y > 0 b. d. 71. If f(x) = 3x 2 + x - 2, then f(-2) = a. -16 b. 8 c. 12 d The height, h, in feet, of an object thrown upward from a height of 144 feet is a function of time, t, in seconds. The height can be determined by the function h(t) = -16t t What is the height of the object at 3 seconds? a. 144 feet b. 382 feet c. 432 feet d. 672 feet

19 73. A bacteria doubles in population every hour. At 9:00 a.m., the population is 12 bacteria. The function models the bacteria population after t hours. What does the value of P(5) represent regarding the bacteria's population? a. The population is 120 bacteria at 5:00 a.m. b. The population is 120 bacteria at 2:00 p.m. c. The population is 384 bacteria at 5:00 a.m. d. The population is 384 bacteria at 2:00 p.m. 74. The function f(x) = 3x + 25 models the yearly membership cost for a movie rental club, where x is the number of movies rented. Last year, Sarah rented 41 movies. Last year, Tim rented twice the amount of movies as Sarah. How much more did Tim pay last year than Sarah? a. $41.00 b. $61.50 c. $ d. $ What is the value of f(-2) for the function 76. Suppose that the equation V = 20.8x x + 3,500 represents the value of a car from 1964 to What year did the car have the least value? (x=0 in 1964) a b c d. 1980

20 77. What are the x- and y-intercepts for -2x + 3y = -12? a. (-6, 0) and (0, 4) b. (-4, 0) and (0, 6) c. (4, 0) and (0, -6) d. (6, 0) and (0, -4) 78. The height, in feet, of an arrow shot from a bow in an upwards direction, is modeled by the function f(t) = -16t t + 5, where t represents the time in minutes. During which interval is the arrow going up? a. 0 < t < 3 b. 3 < t < 6 c. 5 t 149 d. 16 < t < A ball is thrown in the air from a platform at time t = 0 seconds. The height, h(t), of the ball can be modeled as a function of time, t, by the equation h(t) = -16t t Approximately how many seconds after being thrown will the ball hit the ground? a seconds b seconds c seconds d seconds 80. The height of a ball, in feet, t seconds after it is thrown into the air is modeled by the function h(t) = -16t t + 4. Approximately what is the maximum height of the ball? a. 4 feet b. 33 feet c. 36 feet d. 45 feet

21 81. Collin noticed that various combinations of nickels and dimes could add up to $0.65. Let x equal the number of nickels. Let y equal the number of dimes. What is the domain where y is a function of x and the total value is 0.65? 82. Felix throws a ball into the air. The height of the ball, h, in feet at a given time, t, in seconds is represented by the function h(t) = -16t t What is the reasonable domain for the function h(t)? a. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13} b. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13} c. {0, 1, 3, 5, 7, 9, 11, 13} d. {1, 3, 5, 7, 9, 11, 13} a. The domain is all real numbers greater than or equal to 0. b. The domain is all real numbers from 16 to 25. c. The domain is all real numbers from 0 to 2. d. The domain is all real numbers. 83. The table below shows the average weight of a type of plankton after several weeks. 84. The table shows the relationship between the time traveled in seconds (t) and the distance traveled in meters (d) for a car as it accelerates. What is the average rate of change in weight of the plankton from week 8 to week 12? a ounce per week b ounce per week c ounce per week d ounce per week What was the average speed of the car between 3 seconds and 6 seconds? a. 2 meters per second b. 6 meters per second c. 12 meters per second d. 18 meters per second

22 85. Which is the graph of the function f(x) = 4x 2-8x + 7? a. c. 86. Which graph represents the equation y = x 2-2x - 8? a. c. b. d. b. d. 87. Which is the graph of the equation -3x + 2y = 6? 88. Which is the graph of 3x - 2y = 4? a. c. a. c. b. d. b. d.

23 89. A record label has collected the following data relating the selling price of an album to the profit generated. The relationship can be modeled by the quadratic equation p = -100s s , where p represents the profit and s represents the selling price. Which selling price will maximize profits? a. $4 b. $8 c. $12 d. $ Dennis compared the y-intercept of the graph of the function f(x) = 3x + 5 to the y-intercept of the graph of the linear function that includes the points in the table below. a b What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)? c. 0.5 d Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of and a y-intercept of -2. What is the slope of the function with the smaller slope? a. b. c. 3 d A plumber charges a one-time fee for a service call plus a constant amount for each hour worked. The table shows the total amount charged by the plumber for different numbers of hours of work. Based on the data in the table, which statement is true? a. The plumber charges $45 for each hour worked. b. The plumber charges $68 for each hour worked. c. The plumber charges $90 for each hour worked. d. The plumber charges $115 for each hour worked.

24 93. A function is given as f(x) = 2x - 6, and the function g(x) as seen in the table below. 94. Jason compared the function f(x) = 20(1.2) x to the function that fits the values in the table below. Which statement is true? a. The function f(x) has a greater rate of change than the function g(x). b. The function g(x) has a greater rate of change than the function f(x). c. The function g(x) has a greater x-intercept than the function f(x). d. The function f(x) has a greater y-intercept than the function g(x). What is the distance between the y-intercepts of the two functions? a. 14 b. 8 c. 6 d Shelly compared the maximum value of the function f(x) = -2x 2 + 8x + 2 to the maximum value of g(x) graphed below. What is the value of the larger maximum? a. 2 b. 3 c. 9 d Sarah compared the function y = 7x + 13 to the linear function that fits the values in the table below. a. 5 b. 9 What is the distance between the y-intercepts of the two functions? c. 13 d. 18

25 97. Jenna compared the minimum of the function, f(x) = x 2 + 2x + 4 to the minimum of the function graphed below. a. 2 b. 3 c. 4 d. 5 What is the difference between the minimum values of the two functions? 98. The table below represents the total vertical distance covered by a hiker as she ascends a mountain. Is the hiker's ascent represented by a linear function or an exponential function, and why? a. The table represents a linear function because the height is increasing by equal factors over equal intervals. b. The table represents a linear function because the height is increasing by equal differences over equal intervals. c. The table represents an exponential function because the height is increasing by equal factors over equal intervals. d. The table represents an exponential function because the height is increasing by equal differences over equal intervals. 99. There were originally 4 trees in an orchard. Each year the owner planted the same number of trees. In the 29th year there were 178 trees in the orchard. Which function, t(n), can be used to determine the number of trees in the orchard in any year, n? a. b. c. d. A car mechanic charges an initial fee to inspect a car plus an hourly rate to repair the car if no new parts are needed. The total charges for the inspection and repair of cars with no new parts needed are shown in the table below a. y = x + 25 b. y = x + 60 Which equation best represents the linear relationship between y, the total charges in dollars, and x, the number of hours the mechanic worked? c. y = 35x + 25 d. y = 35x + 60

26 101. What is the 6th term in the geometric sequence? 3, -9, 27, -81, A population of 2500 frogs increases exponentially at an annual rate of 25%. Which equation below best represents the population (P) in t years? a b c. 243 d. 729 a. P = t b. P = 2500 (0.25) t c. P = 2500 ( ) t d. P = 2500 (0.75) t 103. Which equation of a line passes through the points (3, -1) and (6, 1)? a. b. c. d Which equation represents the line that passes through the points (4, 10) and (2, 7)? a. b. c. d.

27 105. A cupcake shop had $55,000 in sales in the year In the year 2000, the shop had $105,000 in sales. Assuming a linear relationship, which function models the amount of sales the shop had x years after 1990? a. f(x) = 5,000x + 55,000 b. f(x) = 5,000x + 105,000 c. f(x) = 55,000x + 105,000 d. f(x) = 105,000x + 55, The number of female nurses in a country can be predicted using the function f(t) = 7, t, where t is the number of years since The number of male nurses can be predicted using the function m(t) = 2,500(1.02) t, where t is the number of years since About how many years will it take before the number of male nurses is expected to exceed the number of female nurses? a. 60 c. 70 b. 65 d A line segment has endpoints J(2, 4) and L(6, 8). The point K is the midpoint of. What is an equation of a line perpendicular to and passing through K? a. y = -x + 10 b. y = -x - 10 c. y = x + 2 d. y = x Which equation represents a line that is perpendicular to the line shown in the graph? a. b. c. d.

28 109. What is the slope of a line that is parallel to the graph of 5x + 4y = 6? 110. Which equation represents the line that passes through the point (-2, 1) and is perpendicular to the graph of a. c. a. c. b. d. b. d Which equation represents a line that is perpendicular to the line graphed below and passes through the point (-8, 9)? 112. Which pair of equations represents two perpendicular lines? a. x = -8 b. x = 9 c. y = -8 d. y = 9 a. b. c. d.

29 113. Line k passes through points (4, 3) and (8, 2). What is the slope of a line perpendicular to line k? 114. A triangle has vertices at (1, 3), (2, -3), and (-1, -1). What is the approximate perimeter of the triangle? a. -4 b. c. d. 4 a. 10 b. 14 c. 15 d What is the area of a rectangle with vertices at (-1, 1), (-1, -4), (5, -4), and (5, 1)? 116. What is the area of a right triangle with vertices of (-2, -4), (2, -4), and (2, 5)? a. 12 square units b. 15 square units c. 20 square units d. 30 square units a. 6 units 2 b. 18 units 2 c. 36 units 2 d. 97 units 2

30 117. What is the perimeter, in units, of the triangle shown on the coordinate grid? 118. What is the perimeter of the quadrilateral shown in the figure below? a. 44 units b. 36 units c. 34 units d. 12 units a. 16 units b. 17 units c. 18 units d. 20 units 119. The vertices of a triangle are (4, 3), (8, 4), and (4, 10). What is the approximate perimeter of the triangle? a. 14 units b. 18 units c. 22 units d. 33 units 120. The vertices of a triangle are located at (0, 0), (5, 12), and (10, 0). What is the perimeter of this triangle? a. 26 units b. 30 units c. 36 units d. 60 units

31 121. What is the approximate perimeter of a triangle with vertices at (3, 1), (4, 5), and (6, 4)? 122. The vertices of quadrilateral EFGH are E(-7, 3), F(-4, 6), G(5, -3), and H(2, -6). What kind of quadrilateral is EFGH? a. 6.3 units b units c units d units a. trapezoid b. square c. rectangle that is not a square d. rhombus that is not a square 123. The vertices of a quadrilateral are M(-1, 1), N(1, -2), O(5, 0), and P(3, 3). Which statement describes quadrilateral MNOP? a. Quadrilateral MNOP is a rectangle. b. Quadrilateral MNOP is a trapezoid. c. Quadrilateral MNOP is a rhombus but not a square. d. Quadrilateral MNOP is a parallelogram but not a rectangle The point (-5, 7) lies on a circle centered at (-2, 6). Which point also lies on the circle? a. (-4, 12) b. (-2, 3) c. (1, 5) d. (19, -9)

32 125. Which is the best description of a quadrilateral with vertices at (4, 2), (8, 3), (8, -1) and (4, -2)? 126. A circle has its center at (2, 3) and passes through the point (-4, -5). Which of these points also lies on the circle? a. kite b. parallelogram c. rhombus d. square a. (-3, -6) b. (-1, -1) c. (4, 5) d. (8, 11) 127. Which statement best describes the triangle formed by joining the points A(-3, 6), B(-11, 2), and C(-4, -2)? 128. Which set of data is displayed in the box plot shown below? a. is equilateral b. is a right triangle c. is isosceles with BC = CA d. is isosceles with AB = CA a. 2, 3, 4, 5, 5, 6, 7, 7, 8, 10 b. 2, 2, 3, 4, 4, 4, 5, 6, 8, 10 c. 2, 3, 4, 5, 5, 6, 6, 6, 9, 10 d. 2, 2, 4, 4, 5, 5, 7, 7, 8, 10

33 129. Which box plot represents the data set below? 130. The table below shows the area of several states. 22, 34, 25, 32, 41, 21, 23, 36, 37, 30, 38, 44, 32, 45 Delaware has an area of 2,000 square miles. Which is true if Delaware is included in the data set? a. The mean increases. b. The range decreases. c. The interquartile range decreases. d. The standard deviation increases Sam's scores for seven games of bowling are shown Which of the box-and-whisker plots represent data that has a median of 18 and a lower quartile of 16? 156, 177, 143, 151, 167, 161, 159 If Sam had scored 3 more points in each game, how would it have changed his mean score? a. It would decrease by 3 points. b. It would increase by 3 points. c. It would increase by a factor of 3. d. It would not change. a. Plot 1 b. Plot 3 c. Plots 1 and 2 d. Plots 1 and 3

34 133. The data sets show the test scores of a group for the last two tests. Test 1: {75, 75, 85, 80, 65, 70, 65} Test 2: {95, 85, 85, 90, 90, 95, 100} Which set had the smaller standard deviation? a. Test 1 with a standard deviation of 7.5. b. Test 2 with a standard deviation of 7.5. c. Test 1 with a standard deviation of 5.6. d. Test 2 with a standard deviation of The data shows the test scores for two different instructors. Which statement is true? a. Ms. Brown's class had a smaller mean than Ms. Johnson's class. b. Ms. Brown's class had a larger mean than Ms. Johnson's class. c. Ms. Brown's class and Ms. Johnson's class had the same mean. d. Ms. Brown's class had a smaller median than Ms. Johnson's class. The number of points scored by a basketball 135. player in the first eight games of a season are shown below. 15, 35, 18, 30, 25, 21, 32, 16 What would happen to the data if she scored 24, 22, 27, and 28 points in her next four games? 136. An elevator can hold a maximum of 1,500 pounds. Eight people need to use the elevator. Bill had some measures from the data set of how much each person weighed. Which measure would be most useful to determine if the people can safely use the elevator? a. The data distribution would become less peaked and more widely spread. b. The data distribution would become less peaked and less widely spread. c. The data distribution would become more peaked and less widely spread. d. The data distribution would become more peaked and more widely spread. a. mean b. median c. mode d. interquartile range

35 137. The number of runs scored by the Lions for six games is shown below. 5, 8, 1, 5, 2, 7 If the Lions scored 14 runs in their seventh game, which of the following statements is true? a. The mean and the median both increase. b. The median and the mean both remain the same. c. The median increases and the mean remains the same. d. The mean increases and the median remains the same The salaries of the employees at a company are shown below. $40,000, $45,000, $48,000, $52,000, $48,000, $46,000, $37,000, $45,000, $90,000, $42,000 Which statement is true about the data set? a. The salary of $37,000 causes the median to be significantly lower than the mean. b. The salary of $37,000 causes the mean to be significantly lower than the median. c. The salary of $90,000 causes the median to be significantly greater than the mean. d. The salary of $90,000 causes the mean to be significantly greater than the median A bowler had the following scores after 5 games: 196, 205, 197, 280, and 202. How much does the bowler's mean score increase if the outlier is considered, compared to if the outlier is not considered? a. 13 b. 16 c. 19 d Linda's quiz scores are 95, 88, 98, 92, 100, and 50. If the outlier is removed, how is the shape of the distribution of the scores affected? a. The distribution will become skewed right. b. The distribution will become skewed left. c. The distribution will become more normal. d. The distribution will not change.

36 141. The table below shows the distance a car has traveled The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes. What is the meaning of the slope of the linear model for the data? a. The car travels 5 miles every minute. b. The car travels 4 miles every minute. c. The car travels 4 miles every 5 minutes. d. The car travels 5 miles every 4 minutes. What does the slope of the linear equation that equation that models the data indicate? a. A balloon can contain a maximum of 6 cubic feet of helium. b. A time of 6 minutes is required for each cubic foot decrease in a balloon's volume. c. The volume of helium inside the balloon increased at a rate of 0.1 cubic feet per minute. d. The volume of helium inside the balloon decreased at a rate of 0.1 cubic feet per minute. The graph displays the total points scored by a hockey team for several seasons The equation of the line of best fit of the data is P = 5t , where P is the total points earned during each season, t. Which statement best describes the slope of the graph of this equation? a. The team scored an average of five points per game. b. Every five games, the number of points scored each game increased by one. c. Every five seasons, the number of points scored during the season increased by one. d. The number of points scored in a season increased by an average of five points each season. As a part of a science experiment, Gary makes a small hole in the bottom of a bottle full of water. He records the amount of water left in the bottle at the end of each minute. He repeats this experiment several times and uses the data to develop the linear model w = -50m , which describes the amount of water remaining in the water bottle, in w milliliters, after m minutes. Which statement is a correct interpretation of this linear model? a. The water bottle holds 1,200 milliliters of water and loses 50 milliliters per minute. b. The water bottle starts with 1,200 milliliters of water and ends with 24 milliliters of water. c. The water bottle holds 1,200 milliliters of water and loses 1 milliliter of water every 50 minutes. d. The water bottle starts with 1,200 milliliters of water and loses exactly 50 milliliters of water.

37 145. The number of calories burned, C, after t minutes of exercise can be modeled by the equation 146. The table below shows the number of apples an orchard harvested different years. C = 4.5t. What does the number 4.5 represent in the equation? a. time spent exercising b. calories burned per minute c. time taken to burn each calorie d. total number of calories burned What is the meaning of the y-intercept of the line of best fit for the data? a. The farm harvested about 95,000 apples each year. b. The orchard harvested about 95,000 apples in c. The orchard harvested about 400,000 apples in d. The farm harvested about 400,000 apples the year it opened The scatterplot below shows the number of arithmetic errors 10 students made on a quiz and the amount of time the students took to complete the quiz. Which describes the relationship between the number of arithmetic errors the students made and the amount of time the students took to complete the quiz? a. There is a strong positive relationship between the variables. b. There is a strong negative relationship between the variables. c. There is a weak positive relationship between the variables. d. There is a weak negative relationship between the variables The correlation coefficient of a set of data is Which of these statements can be made about the linear association of these data? a. There is a weak positive association. b. There is a weak negative association. c. There is a strong positive association. d. There is a strong negative association.

38 149. The table below shows the scores of 7 students on a math and science test. What is the value of the correlation coefficient of these data? a b c d The table shows the amount of time seven students studied for a test and their respective test scores. Which describes the relationship between the time a student spent studying and their test score? a. There is a strong, positive correlation between study time and test scores. b. There is a strong, negative correlation between study time and test scores. c. There is a weak, positive correlation between study time and test scores. d. There is a weak, negative correlation between study time and test scores The table below shows the number of floors and heights of 4 buildings in a city A restaurant sells hamburgers and drinks. The cost for 4 hamburgers and 3 drinks is $ The cost for 5 hamburgers and 4 drinks is $ What is the approximate correlation coefficient of the line of best fit for the data? a b c d How much does 1 hamburger cost? a. $1.75 c. $2.75 b. $2.50 d. $3.00

39 153. Michael is 12 years older than Lynn. The sum of Lynn's and Michael's ages is 84. How old is Michael? 154. Two boys, Shawn and Curtis, went for a walk. Shawn began walking 20 seconds earlier than Curtis. Shawn walked at a speed of 5 feet per second. Curtis walked at a speed of 6 feet per second. a. 36 b. 38 c. 42 d. 48 For how many seconds had Shawn been walking at the moment when the two boys had walked exactly the same distance? Answer: 155. The math club sells candy bars and drinks during football games. 60 candy bars and 110 drinks will sell for $ candy bars and 90 drinks will sell for $270 How much does each candy bar sell for? (Note: Express the answer in dollars.cents) Answer: 156. What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? Answer:

40 157. The function f(t) = -5t t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? Answer: 158. Two times Antonio's age plus three times Sarah's age equals 34. Sarah's age is also five times Antonio's age. How old is Sarah? Answer: 159. The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the smaller leg? Answer: 160. Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an internet movie club. Makayla now has $10. How many more dollars does Makayla need to rent 7 movies next month? Answer:

41 161. Katie and Jennifer are playing a game R is the midpoint of segment PS. Q is the midpoint of segment RS. Katie and Jennifer each started with 100 points. At the end of each turn, Katie's points doubled. P is located at (8, 10), and S is located at (12, -6). What are the coordinates of Q? At the end of each turn, Jennifer's points increased by 200. a. (4, 2) c. (11, -2) At the start of which turn will Katie first have more points than Jennifer? b. (2, -8) d. (10, 2) Answer: