Cumulative Exam Answers

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The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.

18%

22%

35%

82%

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Which is the graph of f(x) = (x + 3)(x – 2)?

Option

Which polynomial is prime?

x4 + 3x2 – x2 – 3

x4 – 3x2 – x2 + 3

3x2 + x – 6x – 2

3x2 + x – 6x + 3

What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

–x3 + 6x2 + 9

–x3 + 2x2 – 9

5x3 – 2x2 – 2x – 9

5x3 – 2x2 + 2x + 9

The histogram shows the weights, in pounds, of checked luggage on a flight.

The mean is most likely less than 27 pounds.

The mean is most likely exactly 27.5 pounds.

The mean is most likely about 28 pounds.

The mean is most likely more than 28 pounds.

The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

21%

33%

38%

What does a residual value of 1.3 mean when referring to the line of best fit of a data set?

A data point is 1.3 units above the line of best fit.

A data point is 1.3 units below the line of best fit.

The line of best fit has a slope of –1.3

The line of best fit has a slope of 1.3.

The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics.Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics?

0.22

0.25

0.70

0.88

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?

(0,0)

(0,4)

(–4,0)

(2,0)

The histogram shows the duration, in minutes, of movies in theaters.

The mean is less than the median.

The median is less than the mean.

The mean is equal to the median.

The median and mean cannot be compared from a histogram.

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

2.45

3.16

5.48

7.07

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

–6.72

–0.58

0.58

6.72

Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?

x = –9.25

x = –5.5

x = 0.5

x = 3.25

Susu is solving the quadratic equation 4x2-8x-13=0 by completing the square. Her first four steps are shown in the table.

Step 1

Step 2

Step 3

Step 4

64, –48, 36, –27, ...

f(x + 1) = f(x)

f(x + 1) = f(x)

f(x) = f(x + 1)

f(x) = f(x + 1)

The graph of which function has a minimum located at (4, –3)?

f(x) = x2 + 4x – 11

f(x) = –2x2 + 16x – 35

f(x) = x2 – 4x + 5

f(x) = 2x2 – 16x + 35

Which sample fairly represents the population? Select two options.using a yearbook to determine the most popular names for girls in the United Statesasking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercisescalling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral racesending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfactiontaking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City

using a yearbook to determine the most popular names for girls in the United States

asking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercises

calling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral race

sending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfaction

taking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City

What is the discriminant of the quadratic equation 2x + 5x2 = 1?

–18

–16

Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to represent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research. Ant Colony Growth: Bee Hive Growth: Which insect population is growing at a faster rate?

The ant colony is growing at a faster rate. It will multiply by 3.8 each week while the bee hive will add 3.8 each week.

The bee hive is growing at a faster rate. It will multiply by 3.8 each week while the ant colony will add 3.8 each week.

The ant colony is growing at a faster rate. It will add 3.8 each week while the bee hive will subtract 3.8 each week.

The bee hive is growing at a faster rate. It will add 3.8 each week while the ant colony will divide by 3.8 each week.

What is the coefficient of x after simplifying (−x−5)2?

−25

−10

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show an upward trend.

–0.872

–0.191

0.191

0.872

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

ab(7a2 + 10ab + 14b2)

a2b(7 + 10b + 14b2)

7a2(b + 3b2 + 7b3)

7a2b3(b2 + 3b + 7)

What is f(x) = 7x2 + 42x written in vertex form?

f(x) = 7(x + 6)2 – 6

f(x) = 7(x + 6)2 – 42

f(x) = 7(x + 3)2 – 9

f(x) = 7(x + 3)2 – 63

The box plot compares Marta’s and Ani’s diving scores in the first several meets of the season.Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season?

Ani was more successful because she had an outlier.

Marta was more successful because she received the highest score.

Ani was more successful because she had the greater measure of center.

Marta was more successful because she had the greater total spread.

Which number is missing in the table of values below?xy01162363?41,296

108

216

324

648

Which relationships could have a negative correlation? Select three options.number of hours worked and free timespeed of a car and minimum stopping distancethe speed of a train and the length of time to reach the destinationadult’s head circumference and agea tadpole’s age and the length of it’s tail

number of hours worked and free time

speed of a car and minimum stopping distance

the speed of a train and the length of time to reach the destination

adult’s head circumference and age

a tadpole’s age and the length of it’s tail

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television.Madigan converts the frequency table to a conditional relative frequency table by row.Television Viewing MethodWhich value should she use for X? Round to the nearest hundredth.

0.09

0.20

0.25

0.30

What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

x = –15

x = –3

x = 3

x = 15

The radius and circumference of several objects were measured.

It is a weak positive correlation, and it is not likely causal.

It is a weak positive correlation, and it is likely causal.

It is a strong positive correlation, and it is not likely causal.

It is a strong positive correlation, and it is likely causal.

A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.

x2 − 2x − 120 = 0

x2 + 2x − 120 = 0

x2 − 2x + 120 = 0

x2 + 2x + 120 = 0

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

f(x) = 85(1 – 0.25)x

f(x) = 85(1 + 0.25)x

f(x) = 85(0.25)x

f(x) = (85 – 0.25)x

Which polynomial is prime?

x3 + 3x2 + 2x + 6

x3 + 3x2 – 2x – 6

10x2 – 4x + 3x + 6

10x2 – 10x + 6x – 6

The graph of which function has an axis of symmetry at x = ?

f(x) = 2x2 + x – 1

f(x) = 2x2 – x + 1

f(x) = x2 + 2x – 1

f(x) = x2 – 2x + 1

Mr. Walker is looking at the fundraiser totals for the last five years.

The median is $1.60 greater than the mean.

The mean is $1.60 greater than the median.

The median is $2.82 greater than the mean.

The mean is $2.82 greater than the median.

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6What is the interquartile range of the data?

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)

(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)

{–12, 2}

{–2, 12}

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

1.5

2.25

3.0

4.5

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

6h3

12h2

30h4

48h5

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

x3 + 3x − 1

x3 + 4x − 1

x3 + 3x2 + 3x − 1

x3 + 2x2 − x + 1

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

f(x) = (x –1)2 – 7

f(x) = (x +1)2 – 7

f(x) = (x –1)2 – 5

f(x) = (x +1)2 – 5

The data in the table represent the height of an object over time.

quadratic, because the height of the object increases or decreases with a multiplicative rate of change

quadratic, because the height increases and then decreases

exponential, because the height of the object increases or decreases with a multiplicative rate of change

exponential, because the height increases and then decreases

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

n2 + n – 210 = 0

n2 + n – 105 = 0

2n2 + 2n + 210 = 0

2n2 + 2n + 105 = 0

Which table shows no correlation?

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.

Which best describes the range of the function f(x) = 2(3)x?

y > 0

y ≥ 0

y > 2

y ≥ 2

On a coordinate plane, 5 points are plotted. The points are (1, 1,296), (2, 1,080), (3, 900), (4, 750), (5, 625).

f(x + 1) = f(x)

f(x + 1) =

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

–3x2 – 18x – 27

–3x2 – 15x – 30

–3x2 + 3x + 6

–3x2 + 3x – 30

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.Quadratic formula: x =

–5.7

–4

–1

–0.7

Which is the best description of the graph of the function f(x) = 60()x?

The graph has an initial value of 20, and each successive term is determined by subtracting .

The graph has an initial value of 20, and each successive term is determined by multiplying by .

The graph has an initial value of 60, and each successive term is determined by subtracting .

The graph has an initial value of 60, and each successive term is determined by multiplying by .

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

215

311

354

430

What is the product?