Cumulative Exam — Cumulative exam Answers

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Which phrase describes the algebraic expression ?

Question illustration
A
the product of 8 and 7 more than a number
B
the quotient of 8 and 7
C
8 times the sum of a number and 7
D
8 times a number plus 7
4

Which pair shows equivalent expressions?

A
mc018-1.jpg
Option A
B
mc018-2.jpg
Option B
C
mc018-3.jpg
Option C
D
mc018-4.jpg
Option D
6

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
9

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
11

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.
12

Which method correctly solves the equation using the multiplication property of equality and the reciprocal of ?

Question illustration
A
One-third (x + 9 = negative 12. One-third x + 3 = negative 4. One-third x = negative 7. x = negative 27.
Option A
B
One-third (x + 9) = negative 12. x + 9 = negative 4. x = negative 13.
Option B
C
One-third (x + 9) = negative 12. x + 3 = negative 12. x = negative 15.
Option C
D
One-third (x + 9) = negative 12. x + 9 = negative 36. x = negative 45.
Option D
13

A cube with a side length of 6 feet is sliced diagonally such that it passes through the three vertices shown in the figure. Which describes the cross section?

Question illustration
A
a triangle with 3 equal sides measuring 6 feet
B
a triangle with 3 equal sides measuring greater than 6 feet
C
a triangle with only 2 equal sides measuring 6 feet
D
a triangle with only 2 equal sides measuring greater than 6 feet
15

What is the volume of the container below?

Question illustration
A
576 inches cubed
Option A
B
1,080 inches cubed
Option B
C
1,584 inches cubed
Option C
D
1,920 inches cubed
Option D
17

Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water. Which student has the method that is most representative of the school’s population?

A
Raina suggested that she ask everyone in her math class on Friday.
B
Miya suggested that she ask students sitting in the first row of her classes on Friday.
C
Ryo suggested that he ask the basketball players at his practice on Friday.
D
Amir suggested that he ask every tenth student as he or she walks into school in the morning.
18

A circle has a diameter of 6 meters. Which statement about the circumference and area is true?

A
A comparison of the area and circumference is not possible since the area cannot be determined.
B
The numerical value of the circumference and area are equal.
C
The numerical value of the circumference is greater than the numerical value of the area.
D
The numerical value of the circumference is less than the numerical value of the area.

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