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8th Grade Math

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1 

If the pattern below is repeated, what direction will the arrow in Figure 13 point?
mc001-1.jpg
A
right
C
left
B
down
D
up
 

 2 

Use the function table to find the value of y when mc002-1.jpg.
x
y
3
9
4
12
5
15
6
18
7
?
A
17.5
C
22
B
21
D
13
 

 3 

Carmen borrowed 4 books from the library each month for m months in a row. What expression can be used to find the number of books she borrowed from the library during this time period? Evaluate the expression if mc003-1.jpg months.
A
mc003-5.jpg; 13 books
C
mc003-7.jpg; 36 books
B
mc003-6.jpg; 18 books
D
mc003-8.jpg; 36 books
 

 4 

In the second game of the basketball season, Julia scored 5 points fewer than twice the number of points she scored in the first game. Let p represent the number of points that she scored in the first game. Write an expression that can be used to find the number of points scored in the second game.
A
mc004-2.jpg
C
mc004-4.jpg
B
mc004-3.jpg
D
mc004-5.jpg
 

 5 

On a Physical Science exam, students earn 3 points for a correct response, 1 point for a partially correct response, and 0 points for an incorrect response. Suppose a student had 6 partially correct responses and 2 incorrect responses and received a total of 75 points on the exam. Write an equation that can be used to solve for the number of correct responses the student had. Use c to represent correct responses.
A
mc005-4.jpg
C
mc005-6.jpg
B
mc005-5.jpg
D
mc005-7.jpg
 

 6 

Regina is 8 years older than her dog, and the sum of their ages is 18 years. If a represents Regina’s age, in years, then the equation mc006-1.jpg can be used to solve for the ages. Use the equation to determine how old Regina is.
A
15
C
13
B
6
D
5
 

 7 

The cheerleading team is coming up with a shape for a human pyramid that they are building. The first three rows are shown below, with each person represented by a circle.
mc007-1.jpg
If the pattern continues, how many people will be in row number 12?
A
23
C
21
B
132
D
144
 

 8 

The drama students are building a platform. The platform is constructed of four different pieces of wood, all taken from a 10 foot long piece of wood. The lengths of three of the pieces are 2.75 feet, 3.75 feet, and 1.25 feet. Which of the following lengths could be the length of the fourth piece of wood?
A
1.9 feet
C
2.35 feet
B
7.75 feet
D
2.9 feet
 

 9 

For every $100.00 that My-Lien spends on her monthly expenses, $38.00 goes toward the rent, $26.00 goes toward car expenses, $15.00 is spent on utilities, and $21.00 goes toward food. Which of the following displays best shows the proportion of My-Lien’s monthly expenses to her total budget?
A
My-Lien’s Monthly Expenses
mc009-2.jpg
C
My-Lien’s Monthly Expenses
mc009-4.jpg
B
My-Lien’s Monthly Expenses
mc009-3.jpg
D
My-Lien’s Monthly Expenses
mc009-5.jpg
 

 10 

During his last round of golf, Mike hit 12 out of 18 greens in regulation. Based on this performance, what would be the odds in favor of Mike hitting the green in regulation on the next hole that he plays?
A
2 to 3
C
3 to 2
B
2 to 1
D
1 to 2
 

 11 

A cable company took a random sample of its subscribers to get their opinion on a new television series. Based on the results of this survey, they made the following claim:
Seventy-five percent of all television viewers agree, this new series is a hit!
Explain why this claim is misleading.
A
The company only surveyed viewers in one region of the country.
B
The company did not survey enough of their viewers.
C
This percentage of viewers is not enough to make the series a hit.
D
The company only surveyed its viewers but made the claim about all viewers.
 

 12 

Regina randomly interviewed 60 8th graders at the Westwood Mall Saturday afternoon to determine their reason for going to the mall. Based on the results of her survey, she made the following claim:
Three out of five middle school students visit the mall to go shopping.
Explain why this claim is misleading.
A
Since Regina surveyed only 8th graders, her sample is not representative of all middle school students.
B
Regina did not use a random sample of 8th graders.
C
Regina only interviewed students in the food court.
D
Regina did not survey enough 8th graders to draw a valid conclusion.
 
 
Students in grades seven and eight at a local school were asked about the amount of homework they had each night. Their results are summarized in the bar graph below. The blue bars represent seventh grade, and the red bars represent eighth grade.
Amount of Homework Done by
Students in Seventh and Eighth Grades
nar001-1.jpg
Less than 30 min
30 min to 1 hr
1 hr -
2 hr
2 hr -
3 hr
More than
3 hr
 

 13 

Based on the bar graph, how many students in 7th grade responded to the survey?
A
11
C
197
B
93
D
104
 

 14 

Which of the following terms best describes the before and after pictures below?
Before
After
mc014-1.jpg
mc014-2.jpg
A
transformation
C
translation
B
rotation
D
dilation
 

 15 

When folded along the dotted lines, the net shown below will form a rectangular prism. What is the volume, in cubic units, of the prism?
mc015-1.jpg
A
54 cubic units
C
729 cubic units
B
14 cubic units
D
102 cubic units
 

 16 

The art class is creating a mosaic for the school entry hall. Which of the following figures can they use as a basic unit to form a tessellation?
A
mc016-2.jpg
C
mc016-4.jpg
B
mc016-3.jpg
D
mc016-5.jpg
 

 17 

What are the coordinates of Point R shown below?
mc017-1.jpg
A
(–5, 3)
C
(–5, –3)
B
(3, –5)
D
(5, –3)
 

 18 

What will the circumference of the circle be, in linear units, after it is dilated by a scale factor of mc018-1.jpg? Express your answer in terms of p.
mc018-2.jpg
A
6p units
C
3p units
B
9p units
D
2p units
 

 19 

A picture of a rocket in a physical science book is 3 inches tall on the page. If the scale of the picture is 1 inch : 30 feet, what is the actual height of the rocket?
mc019-1.jpg
A
900 feet
C
90 inches
B
0.1 inches
D
90 feet
 

 20 

Erica is thinking about expanding the size of the patio in her backyard. Currently it is 14 feet long and 10 feet wide. What will the perimeter of the new patio be if Erica adds 3 feet to each dimension?
A
68 feet
C
60 feet
B
48 feet
D
54 feet
 

 21 

Kyle made some cubic letter blocks for his nephew. The volume of the largest block (labeled A) is 1,728 cubic centimeters. If the dimensions of the block labeled B are one-half those of the block labeled A, what is the volume of the B block?
mc021-1.jpg
A
864 cubic centimeters
C
216 cubic centimeters
B
173 cubic centimeters
D
432 cubic centimeters
 

 22 

If the model car below was built using the scale 1 inch = 1.5 feet, what is the length of the actual car?
mc022-1.jpg
A
18 feet
C
7.3 feet
B
14 feet
D
16.5 feet
 

 23 

A ladybug illustration in a Biology book has a length of 13 centimeters. If the scale of the illustration is 1 centimeter : 0.5 millimeters, what is the actual length of the ladybug? Round your answer to the nearest tenth of a millimeter if necessary.
mc023-1.jpg
A
65 millimeters
C
4.3 millimeters
B
6.5 millimeters
D
26 millimeters
 

 24 

A canned food company is redesigning the can in which it sells corn. The original can was a cylinder 10.5 centimeters in diameter and 14 centimeters high. The company intends to make the new can half the height of the original. What is the volume of the new can? Round to the nearest tenth if necessary.
mc024-1.jpg
A
1,212.3 cubic centimeters
C
606.1 cubic centimeters
B
303.1 cubic centimeters
D
2,424.5 cubic centimeters
 

 25 

Simplify the expression mc025-1.jpg.
A
mc025-3.jpg
C
mc025-5.jpg
B
mc025-4.jpg
D
mc025-6.jpg
 

 26 

If –2 is multiplied by the point shown on the number line, will the product be less than –2, between –2 and 2, between 2 and 4, or greater than 4?
mc026-1.jpg
A
between –2 and 2
C
between 2 and 4
B
greater than 4
D
less than –2
 

 27 

When an integer less than –1 is multiplied by a positive decimal less than 1, which of the following best describes the result?
A
the original integer
C
less than the integer
B
between 0 and 1
D
greater than the integer
 
 
Find the value of each expression. Round decimals to the nearest hundredth if necessary.
 

 28 

mc028-1.jpg
A
133
C
34
B
88
D
70
 

 29 

What is one possible answer when the number 1 is divided by a positive number smaller than 1?
A
1
C
0.1
B
0
D
2
 

 30 

The number of hours worked by Shane at his job today was the amount given below, shown as a mixed fraction.
mc030-1.jpg
What is the improper fraction equivalent of this mixed fraction?
A
mc030-4.jpg
C
mc030-6.jpg
B
mc030-5.jpg
D
mc030-7.jpg
 



 
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