Posted: August 10th, 2015

Question 1 (Multiple Choice Worth 5 points)

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Question 1 (Multiple Choice Worth 5 points)

(07.03 LC)

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

(8x2y2)(3xy)

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?

24x3y3 11x3y3 24x2y2 11x2y2 Question 2 (Multiple Choice Worth 5 points)

(07.02 LC)

In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below:

Three containers of the same shape but different sizes are shown, starting with the shortest and ending with the longest. The following quantities are written below the containers. x minus 10 liters below the first, x minus 5 liters below the second, and x liters below the third.

How many liters of water can the three containers hold in all?

x − 15 3x − 15 x3 + 50 3×3 − 15 Question 3 (Multiple Choice Worth 5 points)

(06.02 MC)

The life spans, in years, of some plants in a nursery are shown below:

5, 3.2, 4.1, 3.8, 3.1, 3.2, 5.8, 3.8, 4.2, 4.3

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 4 (Multiple Choice Worth 5 points)

(06.06 MC)

The scatter plot below shows the relationship between the leaf length (x) and leaf width f(x), in mm, of some leaves of a tree:

ordered pairs 11, 0.5 and 12, 1 and 13, 1.5 and 14, 2 and 15, 2.5 and 16, 3 and 17, 3.5 and 18, 4 and 19, 4.5 and 20, 5 and 21, 5.5 and 22, 6

Which of the following functions is best represented by the scatter plot?

f(x) = −5 + 0.5x f(x) = 5 + 0.5x f(x) = x − 10.5 f(x) = −x − 10.5 Question 5 (Multiple Choice Worth 5 points)

(06.01 LC)

The pulse rates, in beats per minute, for some students of a class are shown below:

82, 88, 67, 88, 85, 67, 79, 76, 79, 67, 88, 67, 85, 79, 67, 88, 79, 88, 76, 67

Midge created the following incorrect dot plot to represent the data:

Dot plot showing 6 dots over 67, 2 dots over 76, 3 dots over 79, 1 dot over 82, 2 dots over 85, and 5 dots over 88

What should Midge do to make the dot plot correct?

Put another dot on 79 Put another dot on 76 Delete one dot on 88 Delete one dot on 67 Question 6 (Multiple Choice Worth 5 points)

(06.06 MC)

The table below shows the amount of money, in thousands of dollars, Amelia has saved after different numbers of years:

Years (x) 1 2 3 4 5 6 Money (y) (thousands of dollars) 40 80 120 160 200 240

Identify the function that represents Amelia’s savings and the amount that Amelia will have saved in 7 years. y = x + 40, in 7 years she will have saved $47,000 y = x + 240, in 7 years she will have saved $247,000 y = 40x, in 7 years she will have saved $280,000 y = 6x, in 7 years she will have saved $42,000 Question 7 (Multiple Choice Worth 5 points)

(06.05 MC)

A survey was conducted among 400 students of age groups 7–12 years and 13–18 years to find their favorite music genre. The students had to select any one genre out of jazz, rock, and pop. Out of the 200 students in the age group 7–12 years who participated in the survey, 142 liked rock or pop music. The total number of students of both age groups who liked jazz was 72.

Using a two-way table, compute the total number of students in the age group 13–18 years who liked rock or pop music.

122 130 142 186 Question 8 (Multiple Choice Worth 5 points)

(06.06 LC)

Two graphs are shown below:

graph A shows scatter points 1, 3 and 2, 5 and 3, 7 and 4, 9 and 5, 11graph A shows scatter points 1, 11 and 2, 9 and 3, 7 and 4, 5 and 5, 3

Which scatter plot shows a linear relationship between x and y?

Only graph A Only graph B Both graph A and graph B Neither graph A nor graph B Question 9 (Multiple Choice Worth 5 points)

(07.07 LC)

A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section.

There are x(7x − 2) pots of red geraniums and (x + 3)2 pots of pink geraniums in a section with x sprinklers.

Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers?

8×2 + 4x + 9 8×2 + 6x + 9 8×2 + 6x + 7 8×4 + 4×2 + 9 Question 10 (Multiple Choice Worth 5 points)

(06.03 LC)

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 first 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 11 (Multiple Choice Worth 5 points)

(06.02 LC)

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’s batteries have the highest median lifespan?

Company A Company B Company C Company D Question 12 (Multiple Choice Worth 5 points)

(07.06 LC)

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 15×2 − 5 15×2 + 28x − 5 15×2 + 22x − 5 Question 13 (Multiple Choice Worth 5 points)

(08.03 MC)

Factor completely 2×2 + 2x − 24.

2(x − 3)(x + 4) (2x − 6)(x + 4) (2x − 3)(x + 8) 2(x − 4)(x + 6) Question 14 (Multiple Choice Worth 5 points)

(07.09 MC)

Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c(t) = 425t, where t is the number of hours spent boxing.

To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b(c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves.

Which of the following composite functions expresses the calories, as a function of time, Leona burns while boxing with heavy gloves?

c[b(t)] = 467.5t c[b(t)] = 426.1t b[c(t)] = 467.5t b[c(t)] = 426.1t Question 15 (Multiple Choice Worth 5 points)

(06.05 MC)

A company did a survey to compare the popularity of two web browsers. It was found that 75 students used browser A and 40 of those students used browser B also. There were 18 students who did not use browser A but used browser B. There were 7 students who did not use either browser A or browser B.

Using a two-way table, predict the number of students who would use browser B when 300 students participate in the survey.

115 133 162 174 YOU MUST CHECK THE BOX BELOW PRIOR TO SUBMITTING YOUR EXAM!

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