if |2x 9| < 11, which statement is correct solve the...
TRANSCRIPT
Math 2
EOCT Practice Test #1
1)
2)
3)
4) Solve the absolute value inequality
and choose the solution from the number
lines shown. |x + 1| > 3
5) The graph shows the relationship between
time and distance as Pam rides her bike. During
which time period was the rate of change the
greatest?
6) The equation y = |2x - 4| + 2 is shown.
Use it to solve the inequality |2x - 4| + 2 > 0.
7) If |2x – 9| < 11, which statement is
correct?
8) You are going to model the growth of
a population of bacteria which appears to
be doubling every hour. Which graph is
the BEST choice for doing this?
9) Which exponential function describes
the given sequence?
10)
11)
12)
13) Scientists have determined that a
certain bacteria, with an initial population
of 200, triples every hour. Which table
effectively models this situation?
14) If you subtracted 3 from the
exponent in an exponential function,
what would happen to the graph?
15) The graph of the function y = x2 is shown.
How will the graph change if the equation is
changed to y = 2x2?
16) Write the quadratic function f(x) =
x2 + 8x + 3 in vertex form.
17) Find the sum of the first 2,000
positive integers (the numbers 1 through
2000).
18) How many x-intercepts does the
graph of y = -(x + 1)2 - 2 have?
19) Identify the roots of the quadratic
function.
20) Find all solutions to 3x2 + 2x + 1 = 0
21) It takes 3 straws to build the top
triangle, 5 straws to build the 2 adjoining
triangles, and 7 straws to build the 3
adjoining triangles. If the last row that
you build has 25 adjoining triangles, how
many straws did it take to construct the
rows?
22)
23) Using the discriminant, what values
of c will make the quadratic y = 2x2 -
3x + c have one real solution?
24) If 3x2 – x + 9 = 0, what are the
values of x?
25) Based on the graph of f(x) shown
here, what is f-1(8)?
26) What is f(x) when f-1(x) = 3x2 - 6?
27) If the table is that of f(x), find a
point that lies on the graph of f-1(x).
28) Given that f(x) =
.
What is the domain of f-1(x)?
29) Which graph shows the inverse
of y =
30) Determine the range of the function.
y = 2x2 + 3
31) Use composition to verify whether the
functions are inverses of each other. If
the functions are inverses, what is
f(g(x))?
32) Find the length of side AC.
33) Find the altitude of an equilateral
triangle, if each side of the triangle has a
length of 14 meters.
34) In the diagram, assume that y = 7.
Find x and z.
35) Find the length of BC.
36) Find the length of FH.
37) The angle of depression from the top
of a lighthouse to a boat in the water is
30°. If the lighthouse is 89 feet tall how
far is the boat from the lighthouse to the
nearest foot?
38) A building is 190 feet tall and has a
shadow that is also 190 feet. Determine
the angle of elevation from the tip of the
shadow to the top of the building.
39) Lenny is planning to cut down a pine
tree. He has parked his truck 90 feet
away from the base of the tree and
wants to make sure that the tree will not
hit his truck when it falls. The angle of
elevation from the base of the truck to
the top of the tree is 50°. How tall is the
tree to the nearest foot? Should Lenny
move his truck?
40) For the right triangle shown, what is
the sine of angle C?
41) Which of these is equal to cos 47°?
42) Which property can be justified using
the ratios in triangle XYZ ?
43) Solve for x.
44) Find the measure of ∠C to the
nearest degree.
45) A round cookie cake, divided into 8
equal pieces, has a diameter of 16
inches. Marty eats two pieces of cake.
What is the combined area (to the
nearest tenth) of the two pieces that
Marty eats?
46) The figure in the diagram is
composed of a semi-circle and an
equilateral triangle. Find the total area of
the figure.
47) Find the area of the shaded sector.
Leave your answer in terms of π.
48) Find the area of the figure shown in
the diagram to the nearest hundredth.
49) Determine the length of arc JL.
50) Find x.
51) Determine the degree measure of
arc HJ.
52) Find the area of the figure shown in
the diagram to the nearest hundredth
53) Find m∠DOC.
54) Chords AB and CD intersect at point
E, AE = 10, EB = 4, and CE = 8.
Therefore, ED =
55) If segment AC is a diameter of the
circle what can you conclude about
triangle ABC?
56) In the diagram, segments AD and AB
are tangent to circle C. Solve for x.
57) To the nearest tenth of a square
inch, how much surface area is added to
a spherical balloon whose radius grows
from 10 to 20 inches long?
58) A sphere has a radius of 6 inches
and a surface area of 144π in2. The
radius of the sphere will be doubled. How
will this affect the surface area of the
sphere?
59) A regulation basketball has a
diameter of 9.4 inches. What is the
volume of the ball?
60) The diameter of the earth is
approximately 7900 miles. The diameter
of Jupiter is approximately 88,800 miles.
Since the diameter of Jupiter is more
than 11 times that of the earth, which
comes closest to the volume of Jupiter?
61) The surface area of a beach ball is
144π in2. Find the volume of air the
beach ball will hold when it is fully
inflated.
62) Find the population standard
deviation of the set of data, to the
nearest hundredth:
{10, 20, 30, 40, 50}
63) Steel Factory Workers Ages
Mean: 42
Median: 38
Range: 52
Mean Deviation: 11.23
The summary statistics for all of the
workers at a steel factory are
shown. Four sample groups were
taken from each of the four shifts.
For which sample group is the mean
deviation closest to that of the
population?
64) Lillian is trying to determine how
people feel about the new act Congress
is trying to put through. What is the
population of her study?
A) All American in her town.
B) All citizen of the United States.
C) 400 American citizens that have
been randomly selected.
D) 300 Americans that have been
randomly selected from her town.
65) Forty-five people were asked about how
many miles they walked in one week. The results
are shown in the graph. What is the mean
number of miles walked by the girls?
66) Jeffrey surveys the 13 girls and 13
boys in his class to find out how many
pairs of shoes they have in their closets.
Which statement is true?
A) The value of Q1 for
the girls is greater than
the value of Q1 for the
boys.
B) The value of Q3 for the
boys is greater than the
value of Q3 for the girls.
C) The mean number of
shoes for the boys is
greater than the mean
number of shoes for
the girls.
D) The median number
of shoes for the boys is
greater than the
median number of
shoes for the girls.
67) The graph shows Jessica's weight as
it compares to her age. Using the line of
best fit what is the best approximation
for Jessica's weight at age 10?
68) The graph shows a scatterplot, along
with the best fit line. The points A, B, C,
and D are not part of the set. Adding
which point will most DECREASE the
slope of the line?
69) Which scatterplot has the strongest
positive correlation?
70) Which equation is the BEST fit for
the data in the graph?
71) The scatterplot for a set of data
points is shown, along with the line of
best fit. Choose the BEST estimate for r,
the correlation coefficient.
72) Giuseppe is studying shark attacks
around the world and finds that most
such attacks occur during the day. He
concludes that sharks usually do not eat
at night. This conclusion is
A) not justified, since sharks can't
tell day from night.
B) justified, since he studied
attacks from all around the world.
C) not justified, since people
usually swim in the ocean during
the day.
D) justified, assuming that the
sharks finish eating their kills
before sunset.