Download MA08 Pre-Algebra 2 Semester Review

MA08 Pre-Algebra
2nd Semester Review
1.
Jared is going to perform an experiment in which he spins each spinner once.
What is the probability that the first spinner will land on A, the second spinner will
land on an even number, and the third spinner will land on Blue? Express your
answer as a fraction in simplest form.
Spinner 1
Spinner 2
A
1
4
B
A
B
C
D
2.
2
3
Spinner 3
Blue
Red
Green
1
8
1
12
1
24
1
4
Jean spins two spinners. Find the probability that the first spinner will NOT show
an even number and that the second spinner will NOT show an odd number.
Express your answer as a fraction in simplest form.
A
B
C
D
MPS 2012 / MA08 2nd Semester Review
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MA08 Pre-Algebra
2nd Semester Review
3.
Gabriel tossed a paper cup 40 times and recorded how the cup landed each
time. He organized the results in the table shown. Find the experimental
probability that the cup will NOT land right-side up. Express your answer as a
fraction in simplest form.
Outcome
Frequency
4.
Upside down
On its side
9
12
19
A
1
3
C
9
40
B
31
40
D
19
40
Nick tossed a paper cup 40 times and recorded how the cup landed each time.
He organized the results in the following table. Based on Nick’s results, which
way is the cup most likely to land?
Outcome
Frequency
5.
Right-side up
A
upside down
B
on its side
C
right-side up
Right-side up
Upside down
On its side
10
6
24
A juice company gives prizes to anyone finding specially marked caps on its
bottles. You and your friends buy 53 bottles of juice. You find 2 of the bottles
have a winning cap. What is the experimental probability of winning a prize in the
contest? Express your answer as a fraction in simplest form.
A
53
2
C
51
53
B
53
51
D
2
53
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MA08 Pre-Algebra
2nd Semester Review
6.
7.
An experiment consists of rolling two fair number cubes. The diagram shows the
sample space of all equally likely outcomes. What is the probability that the total
shown on both number cubes is 2? Express your answer as a fraction in simplest
form.
A
35
36
C
1
36
B
36
1
D
5
36
An experiment consists of rolling two fair number cubes. The diagram shows the
sample space of all equally likely outcomes. What is the probability that the total
shown on both number cubes is greater than or equal to 8? Express your answer
as a fraction in simplest form.
A
1
12
C
12
5
B
5
12
D
7
12
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MA08 Pre-Algebra
2nd Semester Review
8.
9.
10.
An experiment consists of rolling two fair number cubes. The diagram shows the
sample space of all equally likely outcomes. What is the probability of rolling at
least one 6? Express your answer as a fraction in simplest form.
A
11
36
C
25
36
B
11
18
D
36
11
A combination lock like the one shown has three
dials. Each of the dials has numbers ranging from 0 to
4. How many different combinations are possible with
the lock?
A
12 combinations
B
125 combinations
C
64 combinations
D
15 combinations
A middle school contains 6th, 7th, and 8th grade classes. One student from each
grade will be chosen to represent the school in an essay contest. The 6th grade
finalists are Manuel, Sarah, Luis, and Eiko. The 7th grade finalists are Benji, Eric,
and Sandra. The 8th grade finalists are Hilda, Elizabeth, and Robby. How many
different ways can the students be chosen?
A
27 possible ways
B
10 possible ways
C
36 possible ways
D
15 possible ways
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MA08 Pre-Algebra
2nd Semester Review
11.
Matt is taking a walk in the park. The following vertex-edge graph represents the
difficulty level of the paths in the park. The higher the number the more difficult
the level is. Which path from K to M is the LEAST difficult?
A
B
C
D
12.
The following vertex edge graph shows how many minutes it takes from stoplight
to stoplight on your bike. Which path takes the longest amount minutes to get
from A to G?
8
4
3
3
2
4
2
6
15
1
A
B
C
D
AÆ BÆC Æ F ÆG
AÆ BÆ E ÆG
AÆ DÆC Æ E ÆG
AÆ DÆ F ÆC Æ E ÆG
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MA08 Pre-Algebra
2nd Semester Review
13.
What are the diameters in circle P?
A
OQ, KI
B
PQ, PI , PO, PK
C
IQ, OK , KQ
D
14.
15.
16.
K
Q
P
O
I
Y
C
QK
What are the chords in circle P?
A
PC , PH , PV , PY
B
HC ,VY , YC ,VC , YH
C
VC , YH
D
PY
P
What are the diameters in circle U?
A
XZ ,VZ
B
VY
C
UV ,UW ,UX ,UY
D
XV , YW
MP
B
LM , LN , LO, LP
C
OQ, MQ, MO, NP
D
OM , PN
MPS 2012 / MA08 2nd Semester Review
H
Z
V
U
Y
W
X
What are the chords in circle L?
A
V
Q
M
L
P
N
O
6
MA08 Pre-Algebra
2nd Semester Review
17.
Which line segment is the diameter?
A
B
C
D
18.
19.
Which is the name of a tangent?
A
AC
B
BE
C
C
D
OF
Triangle ABC is similar to triangle MNO. What is the length of
A
3.3 inches
B
7.5 inches
C
7 inches
D
9 inches
MPS 2012 / MA08 2nd Semester Review
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MA08 Pre-Algebra
2nd Semester Review
20.
21.
Find the length of the unknown side.
Round your answer to the nearest tenth.
A
8m
B
22.7 m
C
2m
D
64 m
Which of the following is a 90° rotation of the figure?
A
C
B
D
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MA08 Pre-Algebra
2nd Semester Review
22.
Draw the image of a triangle with vertices (1, 2), (2, 4), and (4, 2). Then perform
the following transformation: a 180° rotation about the origin.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
y
A
–5
–4
–3
–2
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–4
–3
–2
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
4
3
3
2
2
1
1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
MPS 2012 / MA08 2nd Semester Review
2
3
4
5
x
1
2
3
4
5
x
5
4
–1
–1
1
y
D
5
–5
5
4
y
B
y
C
5
9
MA08 Pre-Algebra
2nd Semester Review
23.
Graph
origin.
and its image after a rotation of 90 counterclockwise about the
y
4
T
X
2
–4
–2
2
W
4
x
–2
–4
y
A
y
C
4
4
T
X
X'
T
X
2
W'
–4
–2
2
W
4
x
–4
–2
2
W
–2
4
x
4
x
–2
W'
X'
T'
–4
–4
y
B
T'
2
y
D
4
4
T
X
T'
2
T
X
2
W'
–4
–2
2
W
4
x
–4
–2
–2
–2
X'
–4
2
W
W'
X'
–4
T'
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MA08 Pre-Algebra
2nd Semester Review
24.
25.
26.
Which is closest to the value of the midpoint between points A and B?
A
7
B
8
C
9
D
10
What is the value of the hypotenuse in
the right triangle shown below?
A
3
B
21
C
17
D
15
A 10-foot ladder is placed against the side of a building as shown in figure 1
below. The bottom of the ladder in figure 1 is 8 feet from the base of the building.
In order to increase the reach of the ladder against the building, it is moved 4 feet
closer to the base of the building as shown in figure 2. How much higher on the
wall does the ladder in figure 2 reach?
A
3 feet
B
6 feet
C
9 feet
D
12 feet
MPS 2012 / MA08 2nd Semester Review
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MA08 Pre-Algebra
2nd Semester Review
27.
28.
29.
What is the diagonal measurement of the TV
screen shown in the figure below?
A
25 inches
B
35 inches
C
40 inches
D
50 inches
Max was curious to know the surface area of his calculator so he measured the
dimensions. He discovered the top and bottom were 4 inches long and 3 inches
wide, the front and back were 4 inches long and 3 inches wide, and the left and
right sides were 3 inches by 3 inches. What is the surface area of the calculator?
A
66 in²
B
48 in²
C
36 in²
D
10 in²
Myra borrowed 5 of Jeremy's markers. When she returned the markers to
Jeremy, he told her to place them in the same color order as when he gave them
to her. This is the information he gave her regarding the order:
●
The markers are of five different colors.
●
The black marker is after the yellow marker.
●
The green marker is two markers way from the black marker.
●
The blue and red markers are not adjacent.
●
The yellow marker is second from the left.
A
green, yellow, black, blue, red
B
yellow, black, blue, green, red
C
red, yellow, black, green, blue
D
blue, yellow, black, red, green
MPS 2012 / MA08 2nd Semester Review
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MA08 Pre-Algebra
2nd Semester Review
Carefully read the algorithm for finding the value of x in the equation shown below.
x-
1 3
=
6 5
To find the value of x:
●
Get x by itself on one side of the equation.
1
to the left side of the equation.
6
1
 Add to the right side of the equation.
6
 Add
 Write each fraction with a common denominator of 30.
 Add the numerators. The denominator remains the same.
●
30.
The value of x is
23
.
30
Which flow-charts best represents the above algorithm?
A
B
C
D
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