Cumulative Exam — Cumulative exam Answers

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43

The perimeter of an equilateral triangle is units. Which expression can be used to show the side length of one side of the equilateral triangle?

Question illustration
A
: Each side length is units.
Option A
B
: Each side length is units.
Option B
C
: Each side length is units.
Option C
D
: Each side length is units.
Option D
44

Kiara found the solution for the inequality, . What is Kiara’s error?

Question illustration
A
Kiara should have added 9.5 to each side of the inequality to get the solution .
Option A
B
Kiara should have reversed the variable and the number in the solution to get .
Option B
C
Kiara should have used a closed circle on the graph.
D
Kiara should have shaded the number line to the right of the circle.
45

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.
46

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
48

Rhonda manages wildlife samples for Ducks Unlimited. Two samples of duck populations at a migratory site are shown in the table below. Which statement about the samples is true?Duck Pond SamplesSample 1Sample 2Mallard19Mallard38Wood Duck3Wood Duck1Green Wing Teal10Green Wing Teal1American Widgeon8American Widgeon0

A
Rhonda needs to continue taking samples of ducks until both samples have at least one of each type of duck.
B
Rhonda should take a third sample and then use the two that are most representative since these samples vary quite a bit.
C
Rhonda should use both of these samples as they are to make inferences about the average population of each type of duck in the pond.
D
Both samples must be biased because there are more Mallards than any other type of duck recorded in the sample.
49

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

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