Cumulative Exam — Cumulative exam Answers

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21
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Which phrases can be used to represent the inequality ? Select two options.

Question illustration
A
The product of 6.5 and the sum of a number and 1.5 is no more than 21.
B
The sum of 1.5 and the product of 6.5 and a number is no greater than 21.
C
The product of 6.5 and a number, when increased by 1.5, is below 21.
D
The product of 6.5 and a number, when increased by 1.5, is at most 21.
E
The sum of 1.5 and the product of 6.5 and a number is at least 21.
22
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Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?

A
46 minus 20 less-than 2 j
Option A
B
2 j minus 20 less-than-or-equal-to 46
Option B
C
46 minus 20 less-than-or-equal-to 2 j
Option C
D
2 j minus 20 greater-than-or-equal-to 46
Option D
23

Kayla created the graph below to represent the solution to the inequality .What errors did she make? Select two options.

Question illustration
A
She should have used an open circle at the end of the ray.
B
She should have pointed the arrow to the right.
C
She should have used a circle at –7 as the end of the ray.
D
She should have used a circle at –9 as the end of the ray.
24

Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?Mascot SurveySample 1Sample 2Ducks12Ducks8Grizzlies24Grizzlies30Lions20Lions22Silverbacks16Silverbacks12

A
StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
Option A
B
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
Option B
C
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
Option C
D
StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction
Option D
25

Which graph shows the solution set for ?

Question illustration
A
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
Option B
C
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
Option C
D
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.
Option D
26

Which expression is equivalent to 2w?

A
mc008-1.jpg
Option A
B
mc008-2.jpg
Option B
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D
27

Which expression is equivalent to ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
28

Which dimensions can create only one unique triangle?

A
three angles measuring , , and
Option A
B
three sides measuring 14 m, 11 m, and 18 m
C
three angles measuring , , and
Option C
D
three sides measuring 3 cm, 4 cm, and 8 cm
29

Which equation best represents this statement?Negative five-sixths times the sum of a number and six and two tenths is seven and five-tenths.

A
Negative StartFraction 5 over 6 EndFraction x + 6.2 = 7.5
Option A
B
Negative StartFraction 5 over 6 EndFraction + 6.2 x = 7 and StartFraction 5 over 10 EndFraction
Option B
C
Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5
Option C
D
(Negative StartFraction 5 over 6 EndFraction + x) (6.2) = 7 and StartFraction 5 over 10 EndFraction
Option D
30

The means and mean absolute deviations of monthly snowfall during the winter months in two cities are shown in the table below.Means and Mean Absolute Deviations of Snowfall in North Town and South Town North TownSouth TownMean8.9 in.6.3 in.Mean Absolute Deviation0.55 in.0.48 in.The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?

A
The difference between the means is about equal to the mean absolute deviation of the data sets.
B
The difference between the mean is about 2 times the mean absolute deviation of the data sets.
C
The difference between the mean is about 4 times the mean absolute deviation of the data sets.
D
The difference between the means is about 5 times the mean absolute deviation of the data sets.
31

LaTesha and Bernard are playing a game. Their scores for five games are shown in the table below.LaTesha’s and Bernard’s ScoresLaTesha’s Scores9245673680Bernard’s Scores6368626953Which statement comparing the means to the ranges is true?

A
The means differ by 1, but the ranges differ by 40.
B
The means differ by 1, but the ranges differ by 2.
C
The means differ by 5, but the ranges differ by 40.
D
The means differ by 5, but the ranges differ by 2.
33

Henry knows that the circumference of a circle is 18 inches. What is the area of the circle?

Question illustration
A
36 pi inches squared
Option A
B
81 pi inches squared
Option B
C
162 pi inches squared
Option C
D
324 pi inches squared
Option D
34

What is the surface area of the triangular prism? [Not drawn to scale]

Question illustration
A
152 square feet
B
172 square feet
C
252 square feet
D
264 square feet
35

The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.Middle School StudentsElementary School StudentsWhich correctly compares the medians and the measures of variability of the data in the box plots? Select three choices.

Question illustration
A
The difference in the medians is about 1.5 hours.
B
The range for both middle school students and elementary school students is 6 hours.
C
The interquartile range for middle school students is 5, and the interquartile range for elementary school students is 3.
D
Both sets of data have the same maximum and minimum values.
E
The medians for the two sets of data are the same.
38

Which equations are equivalent to ? Select three options.

Question illustration
A
m = StartFraction 10 over 4 EndFraction
Option A
B
m = negative StartFraction 10 over 4 EndFraction
Option B
C
m = negative five-halves
Option C
D
StartFraction 11 over 4 EndFraction + m = negative one-fourth
Option D
E
Negative five-fourths + m = negative StartFraction 15 over 4 EndFraction
Option E
40

Julio is selecting a random sample of people to survey for a newspaper article. Which elements are important for Julio to consider when choosing a random sample? Select three options.

A
the size of the population
B
the size of the sample
C
the characteristics and demographics of the population
D
the probable responses to the survey questions from the population
E
the probable responses to the survey questions from the sample

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