Algebra 1

1
Algebra 1
Geometry
Logs,Series Prob/Stats MISC
Algebra 2
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2
Which equation is equivalent to

• 8x 5
• 8x 17
• 29x 5
• 29x 17

3
The total cost (c) in dollars of renting a
sailboat for n days is given by the equation
If the total cost was 360, for how many days was
the sailboat rented?

• 2
• 4
• 6
• 8

4
A 120-foot-long rope is cut into 3 pieces. The
first piece of rope is twice as long as the
second piece of rope. The third piece of rope is
three times as long as the second piece of rope.
What is the length of the longest piece of
rope? A. 20 feet B. 40 feet C. 60 feet
D. 80 feet
5
The cost to rent a construction crane is 750 per
day plus 250 per hour of use. What is the
maximum number of hours the crane can be used
each day if the rental cost is not to exceed
2500 per day?

• 2.5
• 3.7
• 7.0
• 13.0

6
What is the y-intercept of the graph

• -4
• -2
• 6
• 12

7
Which inequality is shown on the graph below?
8
Which point lies on the line defined by
9
Which equation represents a line that is parallel
to
10
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11
Simplify to lowest terms
12
Which of the following shows the polynomial
factored completely?
13
Which is one of the solutions to the equation
14
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15
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16
An object that is projected straight downward
with an initial velocity v feet per second
travels a distance where t is time in seconds.
If Ramon is standing on a balcony 84 feet above
the ground and throws a penny straight down with
an initial velocity of 10 feet per second, in how
many seconds will it hit the ground?

• 2 seconds
• 3 seconds
• 6 seconds
• 8 seconds

17
In the figure at right, AB BC
If we assume that the measure of angle A equals
the measure of angle C, it follows that AB BC.
This contradicts the given statement that AB
BC. What conclusion can be drawn from this
contradiction?
18
Given TRAP is an isosceles trapezoid with
diagonals RP and TA. Which of the following
must be true?
19
Which triangles must be similar?

• Two obtuse triangles
• Two scalene triangles with congruent bases
• Two right triangles
• Two isosceles triangles with congruent vertex
  angles.

20
Which of the following facts would be sufficient
to prove that triangles ABC and DBE are similar?
21
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22
In the accompanying diagram, parallel lines l and
m are cut by transversal t.
Which statement about angles 1 and 2 must be
true?
23
The figure below is a square with four congruent
parallelograms inside. What is the area, in
square units, of the shaded portion?

• 60
• 84
• 114
• 129

24
A classroom globe has a diameter of 18 inches.
Which of the following is the approximate surface
area, in square inches, of the globe?

• 113.0
• 226.1
• 254.3
• 1017.4

25
If RSTW is a rhombus, what is the area of
triangle WXT ?
26
The perimeters of two squares are in a ratio of
4 to 9. What is the ratio between the areas of
the two squares?

• 2 to 3
• 4 to 9
• 16 to 27
• 16 to 81

27
A right triangles hypotenuse has length 5. If
one leg has length 2, what is the length of the
other leg?
28
A new pipeline is being constructed to re-route
its oil flow around the exterior of a national
wildlife preserve. The plan showing the old
pipeline and the new route is shown below. About
how many extra miles will the oil flow once the
new route is established?

• 24
• 68
• 92
• 160

29
Approximately how many feet tall is the
streetlight?

• 12.8
• 15.4
• 16.8
• 23.8

30
What is the measure of angle CBR?

• 50
• 65
• 90
• 130

31
What is the measure of angle ABC?

• 20
• 40
• 55
• 70

32
What is the solution for the inequality
33
For a wedding, Shereda bought several dozen roses
and several dozen carnations. The roses cost 15
per dozen, and the carnations cost 8 per dozen.
Shereda bought a total of 17 dozen flowers and
paid a total of 192. How many roses did she buy?
A. 6 dozen B. 7 dozen C. 8 dozen D. 9 dozen
34
What is the solution to the system of equations
shown below? A. (0, 4, 4) B.
C. no solution D. infinitely many
solutions
35
What system of inequalities best represents the
graph shown below?
A. y -2 and y x 1 B. y -2 and y 1 C. y x 1 D. y
36
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37
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38
What is an equivalent form of
39
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40
What is
41
What are the solutions to
42
What are the solutions to the equation
43
What are the x-intercepts of the graph
44
Which of the following most accurately describes
the translation of the graph
to the graph of

• Up 4 and 5 to the right
• Down 2 and 2 to the right
• Down 2 and 3 to the left
• Up 4 and 2 to the left

45
If x is a real number, for what values of x is
the equation true?

• All values of x
• Some values of x
• No values of x
• Impossible to determine

46
Which ordered pair is the vertex of
47
A pharmacists mixed some 10 saline solution with
some 15 saline solution obtain 100 ml of a 12
saline solution. How much of the 10 saline
solution did the pharmacist use in the mixture?

• 60 ml
• 45 ml
• 40 ml
• 25 ml

48
Andys average driving speed for a 4 hour trip
was 45 miles per hour. During the first 3 hours
he drove 40 mph. What was his average speed for
the last hour of his trip?

• 50 mph
• 60 mph
• 65 mph
• 70 mph

49
In the figure below, sin A 0.7. What is the
length of side AC?

• 14.7
• 21.7
• 30
• 32

50
What is the solution to the equation below?
51
A certain radioactive element decays over time
according to the equation Where A the number
of grams present initially and ttime in years.
If 1000 grams were present initially, how many
grams will remain after 900 years?

• 500 grams
• 250 grams
• 125 grams
• 62.5 grams

52
Abelardo wants to create several different
7-character screen names. He wants to use
arrangements of the first 3 letters of his first
name (abe), followed by arrangements of 4 digits
in 1984, the year of his birth. How many
different screen names can he create in this way?

• 72
• 144
• 288
• 576

53
A train is made up of a locomotive, 7 different
cars, and a caboose. If the locomotive must be
first, and the caboose must be last, how many
different ways can the train be ordered?

• 5040
• 181,440
• 362,880
• 823,543

54
Teresa and Julia are among 10 students who have
applied for a trip to Washington DC. Two
students from the group will be selected at
random for the trip. What is the probability
that Teresa and Julia will be the 2 students
selected?
55
What is the sum of the infinite geometric series

• 1
• 1.5
• 2
• 2.5

56
Which expression represents f (g(x)) if
57
A math teacher is randomly distributing 15 rulers
with centimeter labels. What is the probability
that the first ruler she hands out will have
centimeter labels and the second ruler will not
have labels?
58
On a certain day the chance of rain is 80 in San
Francisco and 30 in Sydney. Assume that the
chance of rain in the two cities is independent.
What is the probability that it will not rain in
either city?

• 7
• 14
• 24
• 50

59
A box contains 7 large red marbles, 5 large
yellow marbles, 3 small red marbles, and 5 small
yellow marbles. If a marble is drawn at random,
what is the probability that it is yellow, given
that is in one of the large marbles?
60
The probabilities that Jamie will try out for
various sports and team positions are shown in
the chart.
Jamie will definitely try out for either
basketball or baseball, but not both. The
probability that Jamie will try out for baseball
and try out for catcher is 42. What is the
probability that Jamie will try out for
basketball?

• 40 B) 60 C) 80 D) 90

61
A small business owner must hire seasonal workers
as the need arises. The following list shows the
number of employees hired monthly for a 5-month
period. 4, 15, 5, 6, 9 If the mean of these
data is approximately 7, what is the population
standard deviation for these data? (Round answer
to the nearest tenth.)

• 3.3
• 7.4
• 10.8
• 13.5

62
Answer A!
63
Answer B!
64
Answer C!
65
Answer D!