Transcript Math Review

Math Review
Grade 8
Samir made a pattern by starting with 9 and
repeatedly dividing by 3, as shown below:
9, 3, 1, 1/3, ?, 1/27, …
18
1/
12
9
1/
1/
6
1/
What number belongs in the position indicated
by the question mark?
A. 1/6
25% 25% 25% 25%
B. 1/9
C. 1/12
D. 1/18
Between which two consecutive integers on
the number line does √11 lie?
3 and 4
5 and 6
11 and 12
22 and 23
23
an
22
an
11
d
12
25%
d
d
an
5
an
d
4
6
25% 25% 25%
3
A.
B.
C.
D.
The minimum distance from Neptune to
Earth is about 2.68 billion miles. What is
2.68 billion written in scientific notation?
A.
B.
C.
D.
2.68 x 106
2.68 x 107
2.68 x 109
2.68 x 1010
25% 25% 25% 25%
What is the value of the expression below?
│15│+ │-10│
25%
25
25%
5
25%
-5
-2
5
A. -25
B. -5
C. 5
D. 25
25%
Mr. Lee has one mathematics class with 16
students and one with 24 students. He wants to
divide each class into groups with the same
number of students in each group. What is the
greatest number of students Mr. Lee can have in
each group?
25%
25%
8
25%
6
25%
4
2
4
6
8
2
A.
B.
C.
D.
Which of the following is equivalent to the
expression below?
3(1.50) + 3(2.50)
25% 25% 25% 25%
)
(1
+
3(
3)
3(
1.
50
+
.5
0
3)
)(2
.
2.
5
50
0
)
.5
0
)(2
3(
1.
50
1.
50
+
2.
50
)
3(1.50 + 2.50)
3(1.50)(2.50)
3(1.50 + 3)2.50
3(3) + (1.50)(2.50)
3(
A.
B.
C.
D.
Which of the following is equivalent to the
expression below?
-2(x – 3)
25%
25%
25%
6
-2
x
+
5
–
-2
x
+
x
–
5
6
x–5
x+6
-2x – 5
-2x + 6
x
A.
B.
C.
D.
25%
Which of the following is equivalent to the
expression below?
2/3 ÷ 3/4
*3
/4
25%
3/
2
3/
4
÷
3/
2
*4
2/
3
4/
÷
3
25%
/3
25%
3
2/3 ÷ 4/3
2/3 * 4/3
3/2 ÷ 3/4
3/2 * 3/4
2/
A.
B.
C.
D.
25%
Based on the pattern shown in the table, which of
the following expressions could represent the
value of the nth term?
A.
B.
C.
D.
3n
n+3
2n + 3
2n + 1
n
F(n)
1
2
3
4
n
3
5
7
9
?
25%
3n
25%
n
+
25%
3
2n
+
25%
3
2n
+
1
What is the value of the expression below?
√36 + 13 * 2
25%
A.
B.
C.
D.
25%
25%
25%
32
38
62
98
32
38
62
98
The graph below shows the distance an airplane
traveled over time. Which of the following is
closest to the average speed of the airplane?
25%
10
00
m
ph
m
pg
50
0
m
ph
0
25
0
m
ph
100 mph
250 mph
500 mpg
1000 mph
10
A.
B.
C.
D.
25% 25% 25%
The floor of the lobby of a theater is shaped like a
rectangle, as shown below. Before a performance
starts, a velvet rope is stretched diagonally across
the lobby. Which of the following best describes
the diagonal length of the lobby?
25% 25% 25% 25%
m
ut
1
bo
A
A
bo
ut
1
1
m
0
m
ut
9
bo
A
bo
ut
8
m
About 8 m
About 9 m
About 10 m
About 11 m
A
A.
B.
C.
D.
A large jet has a wingspan of 87 1/3 yards, as
shown below.
What is the wingspan, in feet, of the jet?
25%
25%
25%
ft.
26
2
ft
3
3.
87
10
48
ft
.
ft.
29 ft.
1048 ft.
873.3 ft
262 ft.
29
A.
B.
C.
D.
25%
Which of the following graphs best represents the
following equation? y = -2x + 1
A. A
B
C
D
25%
25%
D
25%
C
A
25%
B
B.
C.
D.
Abe tested 85 Brand X light bulbs to determine
their life spans. The histogram below shows the
results of his test. What was the total number of
Brand X light bulbs that had life spans greater than
or equal to 1000 hours?
25%
25%
21
25%
51
25%
56
72
56
51
21
72
A.
B.
C.
D.
Which of the following lines appears to have
y-intercept of 4 and a slope of 1/3?
25%
25%
D
25%
B
A
25%
A
B
C
D
C
A.
B.
C.
D.
A shipping box is in the shape of a rectangular
prism, as shown below. If the volume is 288 cubic
inches, what is the height of the box?
25% 25% 25% 25%
es
in
ch
5
4.
4
in
c
he
s
es
in
ch
5
3.
in
c
he
s
2 inches
3.5 inches
4 inches
4.5 inches
2
A.
B.
C.
D.
Mr. Johnson noted that 3/8 of the students at his
school were in the band. He also noted that ½ of
the students in the band were girls. What
fractional part of the students at the school were
girls in the band?
25%
25%
25%
4
8
4
1/
3/
3/
16
3/16
1/4
3/8
3/4
3/
A.
B.
C.
D.
25%
What is the value of x that makes the
equation below true?
2x – 3 = 11
25%
25%
25%
7
2.
5
8.
5
4
8.5
2.5
7
4
A.
B.
C.
D.
25%
What is the value of the expression below
when x = 3 and y = 5?
2x2 + 3y
25%
25%
25%
53
51
27
33
27
51
53
33
A.
B.
C.
D.
25%
Tuan answered 20 customer service calls in
3 hours. At this rate, how many customer
service calls can Tuan answer in 7.5 hours?
A. 45
25%
25%
25%
25%
B. 50
C. 60
80
60
50
45
D. 80
Based on the angle measures in the
diagram, what is the value of x?
25%
25%
25%
25%
A. 70
B. 80
C. 120
0
15
0
12
80
70
D. 150
nt
er
an
sw
er
te
xt
A.
B.
C.
D.
E
A
B
C
D
...
100%
In Jo’s school, there is a positive correlation between the
grade level and the weight of the math textbook used by
each grade. Which of the following scatterplots best
represents this correlation?
25%
25%
25%
D
C
B
A
B
C
D
A
A.
B.
C.
D.
25%
What is the slope of the line represented by
the equation below?
Y=½x+3
25%
25%
25%
3
2
1/
2
3
1/3
1/2
2
3
1/
A.
B.
C.
D.
25%
25%
25%
90
A. 117
25%
5
Ruben surveyed 180 students in his school to find
each student’s favorite winter sport. He recorded
his results in the circle graph below. What is the
total number of students whose favorite sport was
either snowboarding or snow skiing?
25%
B. 115
C. 90
65
11
11
7
D. 65
Jaime used 5 ½ tablespoons of lemonade
mix to make 2 quarts of lemonade. At this
rate, what is the total number of tablespoons
of lemonade mix that Jaime will use to make
3 quarts of lemonade?
25%
25%
25%
25%
A. 6 ½
B. 8 ¼
C. 10 ½
¼
16
½
10
¼
8
6
½
D. 16 ¼
Andrea went to an amusement park. The
cost of admission was $5.The cost for each
ride was $0.75. Write an equation to show C,
Andrea’s total cost to go to the amusement
park and go on r rides.
25% 25% 25% 25%
1)
r0.
+
C
=
5
C
+
=
5
5r
=
C
75
(
0.
0.
7
+
.7
5
(5
+0
=
75
r
5
)r
C = (5+0.75) r
C = 5r + 0.75
C = 5 + 0.75r
C = 5 + 0.75(r - 1)
C
A.
B.
C.
D.
Ms. Simmons made the box-and-whisker plot
below to show some statistics about the ages of
the students in her class at a community college.
Which of the following best represents the median
age of the students in her class?
25%
25%
25%
31
29
27
25
27
29
31
25
A.
B.
C.
D.
25%
The directions for using a concentrated cleaning
product say to add 3 capfuls of the product for
every 2 quarts of water used. Which of the
following equations can be used to calculate c, the
number of capfuls of the product needed for 5
quarts of water?
25% 25%
2/3 = c / 5
2/3 = c / 7
3/2 = c / 5
3/2 = c / 7
25%
/7
2
3/
=
c
/5
2
3/
=
c
/7
c
3
2/
=
3
=
c
/5
2 c

3 5
2/
A.
B.
C.
D.
25%
Tara wrote a set of three numbers. The
mean of her set is 8. The range of her set is
14. Which of the following could be Tara’s
set of numbers?
100%
te
r
an
sw
er
te
xt
...
2, 8, 14
4, 6, 18
2, 6, 16
6, 8, 10
En
A.
B.
C.
D.
Tara wrote a set of three numbers. The
mean of her set is 8. The range of her set is
14. Which of the following could be Tara’s
set of numbers?
8,
10
25%
6,
2,
6,
18
6,
4,
8,
25%
16
25%
14
2, 8, 14
4, 6, 18
2, 6, 16
6, 8, 10
2,
A.
B.
C.
D.
25%
D.
1/2
2
1/4
1/
C.
4
1/12
25%
1/
B.
25%
1/
1/16
1/
A.
16
25%
12
Franco has a bag with four letter tiles in it. All of
the tiles are the same size and shape, as shown
below. Franco will select a tile at random, record
the letter, and put the tile back. If he does this two
times, what is the probability that Franco will select
a T and then a B?
25%
Amanda rents space at an outdoor market. Each
month she pays the owner of the outdoor market
$79 plus 10 percent of s, her total monthly sales.
Which of the following expressions represents the
total amount of money that Amanda pays the
owner for one month?
25% 25% 25% 25%
1s
1
0.
+
s
79
79
+
0.
0.
1
÷
s
79
(0
.1
s)
79(0.1s)
79s ÷ 0.1
79s + 0.1
79 + 0.1s
79
A.
B.
C.
D.
The chart below shows the low temperatures, in
degrees Fahrenheit, outside Maya’s house for a
seven-day period in December. What is the
median of the temperatures in the chart?
F
25%
8°
F
25%
7°
F
25%
6°
25%
F
5°F
6°F
7°F
8°F
5°
A.
B.
C.
D.
The tail of a comet can be up to 45,100,000
kilometers long. What is 45,100,000 written
in scientific notation?
25% 25% 25% 25%
10
5
4.
51
x
10
6
x
4.
51
x
4.
51
51
x
10
10
7
8
4.51 x 108
4.51 x 107
4.51 x 106
4.51 x 105
4.
A.
B.
C.
D.
25%
II
25%
25%
IV
I
II
III
IV
III
A.
B.
C.
D.
25%
I
Angela shaded a figure on a coordinate plane, as
shown below. If she reflects the figure over the
x=y line, in which quadrant will the image be
drawn?
Which of the following has the greatest
value?
te
r
an
sw
er
te
xt
...
│10│
│12│
│-14│
│-8│
En
A.
B.
C.
D.
100%
Carly made 21 out of 83 shots while
practicing basketball. Which of the following
is closest to the percentage of shots that
Carly made?
25%
25%
25%
%
40
%
30
%
25
%
20%
25%
30%
40%
20
A.
B.
C.
D.
25%
Heather asked her classmates if they went to a
movie, a play, a concert, or any combination of
those events during the last month. The Venn
diagram below represents her data. What is the
total number of Heather’s classmates who went to
a concert during the last month?
25%
25%
6
25%
5
25%
4
3
4
5
6
3
A.
B.
C.
D.
4
3/
12
7/
7
1/
1/
12
Steven has one bag that contains three tabletennis balls numbered 1, 2, and 3. He also has a
second bag that contains four table-tennis balls
lettered A, B, C, and D. When Steven randomly
selects one ball from each bag, what is the
probability that he will select a table-tennis ball with
a 1 on it and also a table-tennis ball with a B on it?
A. 1/12 25% 25% 25% 25%
B. 1/7
C. 7/12
D. 3/4
The stem-and-leaf plot below shows the ages, in
years, of people who attended the mayor’s speech
yesterday. What is the total number of people
younger than 30 years who attended the speech?
25%
23
25%
15
25%
14
10
14
15
23
10
A.
B.
C.
D.
25%
25%
25%
63
30
0
25%
21
25%
9
189
210
63
300
18
A.
B.
C.
D.
0
The principal of Washington Middle School
surveyed students to determine how they got
home from school on Monday. Of the students
surveyed, 63 students said they walked home from
school on Monday. What was the total number of
students surveyed?
Mary’s chores include taking out the trash
every third day and washing the dishes
every fourth day. She took out the trash and
washed the dishes on February 7. Based
on Mary’s schedule for doing chores, what is
the next date that she will do both chores on
the same day?
25% 25% 25% 25%
19
Fe
br
ua
ry
14
Fe
br
ua
ry
12
ry
br
ua
Fe
br
ua
ry
10
February 10
February 12
February 14
February 19
Fe
A.
B.
C.
D.
In her pocket, Sheena has one state quarter for
each of the states listed below:
Massachusetts, Connecticut, New York, and
Vermont. She randomly selects a quarter and
returns it to her pocket. Then she does this a
second time. Then she does this a third time.
25% 25%
25% 25%
What is the probability that Sheena
will select
the
Massachusetts quarter both times?
2
3
4
8
1/
1/
1/
1/2
1/3
1/4
1/8
1/
A.
B.
C.
D.
The line plot below shows the number of books
individual customers bought at a bookstore one
day. What was the total number of customers who
bought more than 3 books?
25%
25%
25%
10
7
6
4
6
7
10
4
A.
B.
C.
D.
25%
Which of the following figures appears to have
both line symmetry and rotational symmetry?
25%
A.
B.
C.
D.
A
B
C
D
A
25%
B
25%
C
25%
D
Which of the following numbers best
represents the location of point P on the
number line below?
12
9
7/
25%
7/
3
2/
25%
3
25%
1/
25%
Which of the following numbers best
represents the location of point P on the
number line below?
25%
25%
25%
9
7/
12
3
2/
7/
3
1/3
2/3
7/9
7/12
1/
A.
B.
C.
D.
25%
The inequality −4x + 5 < 37 can be
simplified to:
A.
B.
C.
D.
x>8
x<8
x>−8
x<−8
Should we do more reviews
with Turning Point?
25%
25%
ot
N
M
ay
su
re
be
o
25%
N
25%
s
Yes
No
Maybe
Not sure
Ye
A.
B.
C.
D.