Cumulative Exam — Cumulative exam Answers

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Jeremy constructed this solid by combining two rectangular prisms and a square pyramid. What is the surface area of this figure? _____________ square meters

Question illustration
A
320
B
322
C
368
D
386
2
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Which facts could be applied to simplify this expression? Select three options.

Question illustration
A
To subtract like terms, subtract the coefficients, not the variables.
B
Like terms are terms that contain the same variable, raised to the same power.
C
The simplified expression is .
Option C
D
The simplified expression is .
Option D
E
is equivalent to , so .
Option E
3

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diameter one-half that of the large circle. Which statements about the areas are true? Select three options.

A
The area of the large circle is .
Option A
B
The area of one small circle is .
Option B
C
The area of one small circle will be one-half of the area of the large circle.
D
The total area of the two small circles will equal that of the large circle.
E
The total area of the two small circles will be one-half of the area of the large circle.
4

Ellen drew a graph showing the solution to an inequality. Which inequality does Ellen’s graph show the solution to?

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A
3.25 less-than 2.5 + r
Option A
B
3.25 greater-than 2.5 + r
Option B
C
Negative 3.25 less-than negative 2.5 + r
Option C
D
Negative 3.25 greater-than negative 2.5 + r
Option D
5

The student government at the local middle school surveyed students to help plan the end-of-year party. For the first sample, they surveyed every other person at sports practice after school. For the second sample, they surveyed every fifth person entering the cafeteria where all students eat. Which statement about the samples is true?End-of-Year Party SurveySample 1Sample 2Water Park21Water Park36Bowling/Arcade36Bowling/Arcade28Zoo16Zoo24Dance & Dinner27Dance & Dinner12

A
Sample 1 is biased.
B
Sample 2 is biased.
C
Both samples are biased.
D
Neither sample is biased.
6

Which statement is true about the square pyramid below?

Question illustration
A
The base has an area of 464 square inches.
B
The base has an area of 928 square inches.
C
Each of the lateral faces has an area of 464 square inches.
D
Each of the lateral faces has an area of 928 square inches.
7

What is the value of k in the linear pair below?

Question illustration
A
14 degrees
Option A
B
76 degrees
Option B
C
104 degrees
Option C
D
180 degrees
Option D
8

Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.What errors did Emma make? Select two options.

Question illustration
A
She should have used division to represent the quotient of six and x.
B
She should not have included an equal sign.
C
She should have used parentheses to show that is multiplied by .
Option C
D
She should have subtracted the difference from .
Option D
E
She should have used parentheses to show that is multiplied by .
Option E
9

Which expression is equivalent to ?

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A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
10

Which is a complete list of factors of each term in the expression ?

Question illustration
A
16a: 1, 2, 4, 8, 1618ab: 1, 2, 3, 6, 9, 18
B
16a: 1, 2, 4, 8, 16, a18ab: 1, 2, 3, 6, 9, 18, b
C
16a: 2, 4, 8, a18ab: 2, 3, 6, 9, a, b
D
16a: 1, 2, 4, 8, 16, a18ab: 1, 2, 3, 6, 9, 18, a, b
11

What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and passes through the midpoints of the 10 cm edges?________ centimeters by 18 centimeters

Question illustration
A
2
B
8
C
10
D
18
12

The box plots show the average speeds, in miles per hour, for the race cars in two different races.Average Speeds of Cars in Race AAverage Speeds of Cars in Race BOne-half of cars travel at which speeds?

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A
between 120 and 143 mph in race A; between 125 and 140 mph in race B
B
between 120 and 170 mph in race A; between 125 and 165 mph in race B
C
between 120 and 153 mph in race A; between 125 and 145 mph in race B
D
between 165 and 170 mph in race A; between 150 and 165 mph in race B
14

Jenna created the graph below to represent the solution to the inequality .What error did she make?

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 left.
C
She should have ended the ray with a circle at –5.
D
She should have ended the ray with a circle at –7.
15

What is the value of the expression if ?

Question illustration
A
12
B
30
C
48
D
84
16

Which could be the area of one face of the triangular prism? Select three options. [Not drawn to scale]

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A
24 square units
B
48 square units
C
72 square units
D
96 square units
E
144 square units
17

Which graph represents the solution set of the inequality ?

Question illustration
A
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the left of the circle is shaded.
Option B
C
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the right of the circle is shaded.
Option C
D
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the right of the circle is shaded.
Option D
18

Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options.

A
The builders were chosen at random.
B
The population included only builders who build in Vicki’s town.
C
The population included builders who build homes in any town.
D
The population included builders who do not build homes in Vicki’s town.
E
The builders were referred to Vicki by the realtor who will be selling the houses.
19

The students in Mr. McIntyre’s class and in Mrs. Ramos’s class were asked how many pets they each have. The dot plots below show the results.Mr. McIntyre’s ClassMrs. Ramos’s ClassWhich statement correctly compares the measures of center of the data in the dot plots?

Question illustration
A
The median is greater for Mr. McIntyre’s class.
B
The median is the same for both classes.
C
The mode is greater for Mrs. Ramos’s class.
D
The mode is the same for both classes.
20

Will wanted to make some brownies using the pan shown below.What is the maximum amount of brownie batter that Will can pour into the pan, in cubic inches?

Question illustration
A
37
B
54
C
108
D
216

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