(Question 1(Multiple Choice Worth 5 points (MC 08.03) .Factor completely 2x2 + 6x 80 (2x 5)(x + 8) (2x 10)(x + 8) (x 5)(x + 8)2 (x 10)(x + 8)2 (Question 2(Multiple Choice Worth 5 points (LC 06.01) :The number of cell phones sold by a store on consecutive days of a month is shown below 16 ,13 ,16 ,13 ,16 ,22 ,16 ,19 ,28 ,13 ,22 ,19 ,34 ,16 ,31 ,13 ,34 ,16 ,13 ,25 :Sam created the following incorrect dot plot to represent the data Dot plot showing 5 dots over 13, 5 dots over 16, 2 dots over 19, 2 dots over 22, 1 dot over 25, 1 dot over 28, 1 dot over 31, and 2 dots over 34 ?What should Sam do to make the dot plot correct Put another dot on 13 Put another dot on 16 Delete one dot on 22 Delete one dot on 34 (Question 3(Multiple Choice Worth 5 points (MC 06.06) The table below shows the amount of money, in hundreds of dollars, Elliot has saved after :different numbers of years 6 5 4 3 2 1 Years (x) 90 75 60 45 30 15 Money (y) (hundreds of dollars) Identify the function that represents Elliot's savings and the amount that Elliot will have saved in .9 years y = 15x, in 9 years he will have saved $13,500 y = x + 15, in 9 years he will have saved $2,400 y = 6x, in 9 years he will have saved $5,400 y = x + 90, in 9 years he will have saved $9,900 (Question 4(Multiple Choice Worth 5 points (MC 06.05) A confectionary company did a survey among students. It was found that 80 students liked pastries and 30 of those students liked candies also. There were 15 students who did not like pastries but liked candies. There were 5 students who did not like either .pastries or candies Using a two-way table, predict the number of students who would like candies when 200 .students participate in the survey 45 50 90 95 (Question 5(Multiple Choice Worth 5 points (LC 07.03) A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule (6x2y3)(4xy3 ) .where y represents the number of white tiles Which simplified expression represents the number of colored tiles used for a path of length x ?feet 24x2y6 24x3y6 24x2y9 24x3y9 (Question 6(Multiple Choice Worth 5 points (MC 06.06) The scatter plot below shows the relationship between the diameter (x), in mm, and mass f(x), in :grams, of a berry ordered pairs 11, 0.4 and 12, 0.8 and 13, 1.2 and 14, 1.6 and 15, 2 and 16, 2.4 and 17, 3 and 18, 3.2 and 19, 3.6 and 20, 4 ?Which of the following functions is best represented by the scatter plot f(x) = 0.4 + 4x f(x) = 0.4 4x f(x) = 4 0.4x f(x) = 4 + 0.4x (Question 7(Multiple Choice Worth 5 points (LC 06.06) :Two graphs are shown below graph A shows scatter points 1, 2 and 2, 2 and 3, 2 and 4, 2 and 5, 2graph A shows scatter points 1, 11 and 2, 9 and 3, 7 and 4, 5 and 5, 3 ?Which scatter plot shows a negative correlation between x and y Only graph A Only graph B Both graph A and graph B Neither graph A nor graph B (Question 8(Multiple Choice Worth 5 points (LC 06.02) The box plots below show the lifespan, in months, of laptop batteries manufactured by four :companies box plot labeled Company A shows minimum at 19, first quartile at 19.5, median at 23, third quartile at 23.5, and maximum at 24. Company B shows minimum at 21, first quartile at 22, median at 24, third quartile at 25, and maximum at 26. Company C shows minimum at 20, first quartile at 21, median at 22, third quartile at 24, and maximum at 28. Company D shows minimum at 19, first quartile at 20, median at 22.5, third .quartile at 23.5, and maximum at 27 Based on the data, which company manufactures batteries having the greatest variation in ?lifespan Company A Company B Company C Company D (Question 9(Multiple Choice Worth 5 points (LC 07.06) A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x 1) meters. The expression below represents the area of the floor of the :building in square meters (3x + 5)(5x 1) Which of the following simplified expressions represents the area of the floor of the library ?building in square meters 28x 5 15x2 5 15x2 + 28x 5 15x2 + 22x 5 (Question 10(Multiple Choice Worth 5 points (MC 06.05) A survey was conducted among 100 students of age groups 7-12 years and 13-18 years to find their favorite book genre. The students had to select any one genre out of detective, adventure, and biography. Out of the 50 students in the age group 7-12 years who participated in the survey, 23 liked adventure or biography. The total number of .students of both age groups who liked detective books was 28 Using a two-way table, compute the total number of students in the age group 13-18 years who .liked adventure or biography 23 27 49 51 (Question 11(Multiple Choice Worth 5 points (LC 07.07) A greenhouse that specializes in growing carnations is divided into sections. The number of .plants in each section depends on the number of sprinklers in that section There are y(5y 4) red carnation plants and (9 + y)2 white carnation plants in a section with y .sprinklers Which simplified expression represents the total number of red and white carnation plants in a ?section with y sprinklers 5y2 + 18y +77 5y4 + 14y + 81 6y2 + 14y + 81 6y2 + 18y + 77 (Question 12(Multiple Choice Worth 5 points (LC 07.02) In a kitchen there are four containers that can hold different quantities of water, as shown in the :figure below Four containers of the same shape but different sizes are shown, arranged from the shortest to the longest. The following quantities are written below the containers. x minus 2 liters below the first, x liters below the second, x plus 2 liters below the third, and x plus 4 .liters below the fourth ?How many liters of water can the four containers hold in all x4 + 4 2x + 4 x2+ 2x 4x + 4 (Question 13(Multiple Choice Worth 5 points (LC 06.03) A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period :classes are as follows First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0 Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2 Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3 ?Which is the best measure of center for second period and why Mean, because there are no outliers that affect the center Median, because there is 1 outlier that affects the center Interquartile range, because there is 1 outlier that affects the center Standard deviation, because there are no outliers that affect the center (Question 14(Multiple Choice Worth 5 points (MC 06.02) :The life spans, in years, of some plants in a nursery are shown below 4.3 ,4.2 ,3.8 ,5.8 ,3.2 ,3.1 ,3.8 ,4.1 ,3.2 ,5 :Jack made the following box plot to represent the life spans box plot shows minimum at 3.1, first quartile at 3.2, median at 3.95, third quartile at 4.8 and maximum at 5.8 ?Which of the following did Jack show incorrectly on his box plot Median Minimum First quartile Third quartile (Question 15(Multiple Choice Worth 5 points (MC 07.09) David tracks his calories burned while training for a meet. The number of calories he burns is .expressed by the function c(t) = 704t, where t is the number of hours spent swimming To burn more calories, David wears flippers while he swims. The number of calories he burns while wearing flippers is expressed by the function b(c) = 1.3c, where c is the number .of calories burned while swimming without flippers Which of the following composite functions expresses the calories, as a function of time, David ?burns while swimming with flippers b[c(t)] = 915.2t b[c(t)] = 705.3t c[b(t)] = 915.2t c[b(t)] = 705.3t