AnswersMath 7 B M12 2526 S2Cross Sections

Cross Sections — Cumulative exam Answers

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1
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Which inequality represents the sentence below?The difference of –3.2 and the sum of a number and 19.1 is at most 14.2.

A
Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2
Option A
B
Negative 3.2 minus x + 19.1 less-than-or-equal-to 14.2
Option B
C
Negative 3.2 minus (x + 19.1) greater-than-or-equal-to 14.2
Option C
D
Negative 3.2 minus x + 19.1 greater-than-or-equal-to 14.2
Option D
2
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Which expressions are equivalent to ? Select three options.

Question illustration
A
5 (x + 15)
Option A
B
5 (x minus 3)
Option B
C
4 x + 3 y minus 15 minus 3 y + x
Option C
D
Negative 7 y minus 6 x minus 8 y + x
Option D
E
Negative 20 minus 3 x + 5 + 8 x
Option E
3

Marina is solving the equation below by using the multiplicative inverse, or the reciprocal.By which number should Marina multiply both sides of the equation as the first step in solving it?

Question illustration
A
One-fifth
Option A
B
Four-fifths
Option B
C
5
D
20
4

Solve the following inequality. Which graph shows the correct solution?

Question illustration
A
A number line going from negative 77 to negative 67. An open circle is at negative 72. Everything to the right of the circle is shaded.
Option A
B
A number line going from negative 77 to negative 67. An open circle is at negative 72. Everything to the left of the circle is shaded.
Option B
C
A number line going from negative 7.7 to negative 6.8. An open circle is at negative 7.2. Everything to the right of the line is shaded.
Option C
D
A number line going from negative 7.7 to negative 6.8. An open circle is at negative 7.2. Everything to the left of the line is shaded.
Option D
5

Solve . Which of the following must be true about the inequality and the resulting graph? Select three options.

Question illustration
A
w less-than-or-equal-to 3.6
Option A
B
The arrow points left.
C
The arrow points right.
D
There is an open circle at 3.6.
E
There is a closed circle at 3.6.
6

Kayley needs to find the area of a circle. Which process should she use?

A
She should multiply the diameter by 2 and then multiply the result by 3.14.
B
She should multiply the radius by 2 and then multiply the result by 3.14.
C
She should square the diameter and then multiply the result by 3.14.
D
She should square the radius and then multiply the result by 3.14.
7

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.
8

Which correctly describes a cross section of the square pyramid? Select three options.

Question illustration
A
A cross section parallel to the base is a square with side lengths of 2 ft.
B
A cross section parallel to the base is a square with side lengths of less than 2 ft.
C
A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.
D
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
E
A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
9

Which shows how to determine the volume of the pyramid?

Question illustration
A
V = one-third (3) (3) (5)
Option A
B
V = one-half (3) (5)
Option B
C
V = one-half (3) (3) (5)
Option C
D
V = one-third (3) (5)
Option D
10

Ingrid mixes 3.6 pounds of almonds with some raisins to make a trail mix. She divides the trail mix into 12 equal portions. Each portion weighs 0.7 of a pound. How many pounds of raisins did she use to make the trail mix? Express the answer to the nearest tenth.

A
2.9
B
4.8
C
5.1
D
7.2
11

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
12

Denise and Sandra are playing a target game. The object of the game is to get an object as close to the center as possible. Each player’s score is the number of inches away from the center. Their scores are shown below.Denise’s scores: 112, 116, 125, 119, 131Sandra’s scores: 124, 120, 110, 126, 118Which explains who is winning the game?

A
Denise is winning because she has the greater mean.
B
Denise is winning because she is generally closer to the center.
C
Sandra is winning because she has the greater mean.
D
Sandra is winning because she is generally closer to the center.
13

Ryan and Scott are each studying a square pyramid.Which statement best describes the two pyramids?

Question illustration
A
Both pyramids have the same total surface area, but the areas of the lateral faces and the areas of the bases are different in each pyramid.
B
Both pyramids have the same total surface area, and the areas of the lateral faces and the areas of the bases are the same in each pyramid.
C
Ryan’s pyramid has a greater surface area.
D
Scott’s pyramid has a greater surface area.
14

A rectangular prism has a length of 8 feet, a width of 3 feet, and a height of 5 feet. What is the surface area of the rectangular prism?

A
64 square feet
B
79 square feet
C
120 square feet
D
158 square feet
15

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.
16

These plots show the number of kilometers a group of students at Middleton Middle School and at Westwood Middle School travel to get to school each day. Number of Kilometers Middleton and Westwood Students Travel to SchoolThe shapes of which plots, if any, show an outlier?

Question illustration
A
both Middleton and Westwood
B
Middleton only
C
Westwood only
D
neither Middleton nor Westwood
17

What is the total surface area of this square pyramid?_____________ mm2

Question illustration
A
189
B
216
C
297
D
378
18

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

Question illustration
A
24 square units
B
48 square units
C
72 square units
D
96 square units
E
144 square units
19

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
20

Kasia wants to create a triangle with angles measuring , , and . She says that only one unique triangle is possible given these angle measures. Which statement about Kasia’s claim is true?

Question illustration
A
Kasia is incorrect. Since the angles sum to and no side lengths are given, multiple triangles can be drawn with these angle measures.
Option A
B
Kasia is incorrect. No triangle can be made with these angle measures because they do not sum to .
Option B
C
Kasia is correct. Since the angles sum to and no measurements are given, only one unique triangle is possible.
Option C
D
Kasia is correct. Since the angles do not sum to , only one unique triangle is possible.
Option D

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