Cumulative Exam — Cumulative exam Answers

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21
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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
22
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Which inequalities have the solution set graphed on the number line? Select two options.

Question illustration
A
x less-than negative 4
Option A
B
Negative 4 less-than x
Option B
C
Negative 4 less-than-or-equal-to x
Option C
D
Negative 4 greater-than x
Option D
E
x greater-than negative 4
Option E
24

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
26

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.
27

Compare the given dimensions of four triangles. Which triangle is possible to construct?

A
side lengths of 6 m, 8 m, and 9 m
B
side lengths of 4 m, 5 m, and 12 m
C
side lengths of 2 m, 5 m, and 8 m
D
side lengths of 4 m, 7 m, and 13 m
29

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.
30

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.
32

What is the shape of the cross section of the figure that is parallel to the rectangular base?

Question illustration
A
a parallelogram that is not a rectangle
B
a rectangle
C
a triangle that must have same dimensions as one of the faces
D
a triangle that does not have the same dimensions as one of the faces
33

Which inequalities have the solution set graphed on the number line? Select two options.

Question illustration
A
x less-than negative 4
Option A
B
Negative 4 less-than x
Option B
C
Negative 4 less-than-or-equal-to x
Option C
D
Negative 4 greater-than x
Option D
E
x greater-than negative 4
Option E
35

To remain a member of student council, a student must attend at least of the activities. Joey attends 15 of the activities and remains on the student council. Which inequality represents the total amount of student council activities, a?

Question illustration
A
Three-fourths a greater-than-or-equal-to 15
Option A
B
Three-fourths a less-than-or-equal-to 15
Option B
C
Three-fourths a less-than 15
Option C
D
Three-fourths a greater-than 15
Option D
36

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
37

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.
38

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
39

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
40

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.

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