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.