AnswersCommon Core Math 7 B-ICCumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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What is the surface area of the rectangular prism? [Not drawn to scale]

Question illustration
A
99 square inches
B
127 square inches
C
252 square inches
D
254 square inches
2
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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
3

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
4

Li designed a survey to determine how comfortable students at her middle school are with fractions. There are 600 students in her middle school. The students are equally distributed among grade levels. She selected a sample of 28 students in her first-period class. Which best explains Li’s sample?

A
random and biased
B
random and unbiased
C
nonrandom and biased
D
nonrandom and unbiased
5

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.
6

A rectangular pyramid has a volume of , a height of 24 in., and a base length of 6 in. What is the width of its base?

Question illustration
A
3 in.
B
9 in.
C
18 in.
D
27 in.
7

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?

A
A number line going from 80 to 91. A solid circle is at 88. Everything to the left of the circle is shaded.
Option A
B
A number line going from 80 to 91. An open circle is at 88. Everything to the left of the circle is shaded.
Option B
C
A number line going from 80 to 91. An open circle is at 87. Everything to the right of the circle is shaded.
Option C
D
A number line going from 80 to 91. A closed circle is at 87. Everything to the right of the circle is shaded.
Option D
8

Line j is a straight line. Which equation represents the relationship between the measures of and ?

Question illustration
A
Measure of angle w = measure of angle z
Option A
B
Measure of angle w + measure of angle z = 90 degrees
Option B
C
Measure of angle w + measure of angle z = 100 degrees
Option C
D
Measure of angle w + measure of angle z = 180 degrees
Option D
9

On a history test, Rasha scored 40 points on the essay portion. In addition to the essay, there were multiple-choice questions worth three points each. Which expression represents Rasha’s total points if she answered p multiple-choice questions correctly?

A
3 + 40p
B
3 + p + 40
C
mc015-1.jpg
Option C
D
40 + 3p
10

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
11

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
12

Tram left a tip of $9, which was of the total cost of the food. Which shows the correct equation and value of x, the total cost of the food?

Question illustration
A
; x = $1.35
Option A
B
; x = $60
Option B
C
; x = $1.35
Option C
D
; x = $60
Option D
13

The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser. The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.Which best describes the number of bars the band can order?

Question illustration
A
They can order from 0 to 449 bars, but no more.
B
They can order from 0 to 450 bars, but no more.
C
Their order must contain 451 bars or more.
D
Their order must contain 452 bars or more.
14

What is the measure of ?

Question illustration
A
16 degrees
Option A
B
74 degrees
Option B
C
106 degrees
Option C
D
116 degrees
Option D
15

What is the measure of ?

Question illustration
A
38 degrees
Option A
B
52 degrees
Option B
C
118 degrees
Option C
D
142 degrees
Option D
16

What is the solution to ?

Question illustration
A
h greater-than-or-equal-to 432
Option A
B
h less-than-or-equal-to 432
Option B
C
h less-than-or-equal-to negative 432
Option C
D
h greater-than-or-equal-to negative 432
Option D
17

At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected.

A
3 p + p = 52
Option A
B
3 + p = 52
Option B
C
52 + p = 3 p
Option C
D
52 + p = 3
Option D
18

The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in December.Gas Mileage of Cars Sold in JuneGas Mileage of Cars Sold in DecemberWhich inference can be made about the cars?

Question illustration
A
The type of cars sold in June typically gets better gas mileage.
B
The type of cars sold in December typically gets better gas mileage.
C
The types of cars sold in the two months typically get about the same gas mileage.
D
The types of cars sold in the two months typically get better gas mileage than those sold in other months.
19

Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each portion weighs 1.5 pounds. Which equation and solution shows the total amount of almonds he used in the mixture?

A
pounds of almonds
Option A
B
pounds of almonds
Option B
C
pounds of almonds
Option C
D
pounds of almonds
Option D
20

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

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