Free Printable EOC #16-30 Math III

1.

The graph of the function is shown.

Place (click and drag) each interval into the column that describes the function on that interval. Increasing, Decreasing, Positive Negative, in that order.

(a) (b) (c) (d)

Choose from the below words

(0,4]

[-2,0)

(-4,-1)

(0,2]

2.

A function is shown.

$H\left(x\right)=4x^3-5x^2-23x+6$

What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

(a)

3.

Which function does not have the set of all real numbers as its domain?

a)

$f\left(x\right)=5^x-3$

b)

$f\left(x\right)=\frac{x+1}{x+3}$

c)

$f\left(x\right)=\left|2x-1\right|$

d)

$f\left(x\right)=\cos\left(x\right)+1$

4.

An equation is shown below.

$9^{-3x+2}=48$

What is the value of x to the nearest ten-thousandth?

a)

0.0794

b)

0.0995

c)

0.4243

d)

0.4774

5.

The diagram below shows an angle, θ, graphed in the xy-coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin R(0, 0).

The x-coordinate of point M is $-\frac{1}{2}$ . What is the measure of $\theta$ to the nearest thousandth of a radian?

a)

4.712

b)

4.189

c)

3.927

d)

3.665

6.

A function, f(x)=Asin(Bx)+H, has the following properties:

~a period of 6,

~a minimum value of 2,

~f(2.5)=5, and

~A, B, and H are all positive constants.

Place (click and drag) values in the appropriate cells below that create this function. (a) (b) (c)

Choose from the below words

2

$\frac{\pi}{3}$

4

3

$\frac{\pi}{2}$

$\frac{\pi}{4}$

6

8

5

7.

The vertices of a triangle are at (0, 0), (6, 6), and (9, 3). What is the volume, in cubic units, of the figure created by rotating the triangle about y = x?

a)

$54\ \sqrt[]{2}$

b)

$324\ \sqrt[]{2}$

c)

$36\pi\ \sqrt[]{2}$

d)

$108\pi\ \sqrt[]{2}$

8.

In parallelogram MNPT, $m\ \angle M\ =\left(6x+10\right)\degree$ and $m\ \angle N\ =\ \left(5x+10.5\right)\degree.$ How many degrees is $\angle T?$

(a)

9.

In rectangle FGHI, diagonals $\overline{FH}$ and $\overline{GI}$ intersect at E.

~IE= 3x+4

~EG= 5x-6

What is the length of $\overline{FH}$ ?

a)

5 units

b)

10 units

c)

19 units

d)

38 units

10.

Triangle PMT is shown,

What is the measure of segment PG?

a)

4 units

b)

7 units

c)

14 units

d)

17 units

11.

What is the length of a radius of the circle represented by the equation

$x^2+y^2-4x-4y+4=0$ ?

a)

2 units

b)

4 units

c)

8 units

d)

16 units

12.

David plans to cover the floor of his room with new material.

• The floor is an isosceles trapezoid whose bases are 16 feet and 26 feet and sides are 13 feet in length.

• Each piece of new material has an area of 2.5 square feet.

Assuming the pieces of new material can be cut as needed, how many pieces does David need?

a)

101

b)

126

c)

202

d)

252

13.

Which method is most likely to produce a random sample of 5 students from a school club?

a)

selecting 5 club members who have brown hair

b)

selecting the 5 club members who have raised the most funds for the club

c)

selecting 5 club members from a hat containing the names of all members

d)

selecting the 5 club members who arrive last to a club meeting

14.

A high school randomly selected 75 of the 200 seniors at the school to take a sample college entrance exam. The mean grade point average (GPA) of the seniors selected was 2.85, and the standard deviation was 0.4. Select (click) all the statements that are true. (Note: Margin of error $\approx2\ \frac{s}{\sqrt[]{n}}$ , where s is the standard deviation and n is the sample size.)

a)

The margin of error for the mean grade point average is about 0.057

b)

The margin of error for the mean grade point average is about 0.092

c)

The margin of error would decrease if the sample size were changed to 125 seniors.

d)

The margin of error would increase if the sample size were changed to 125 seniors.

15.

The police chief of a town is trying to determine the average speed of drivers on a specific road.

• The police chief took a random sample of the speeds of 100 drivers on the road.

• The mean was 48.5 miles per hour, with a standard deviation of 2.5 miles per hour.

• The police chief wanted to decrease the margin of error of his next sample.

Which choice would decrease the margin of error?

(Note: margin of error $\approx2\ \frac{s}{\sqrt[]{n}}$ where s is the sample standard deviation and n is the sample size.)

a)

decreasing the sample size

b)

increasing the sample size

c)

changing the time that the data is collected

d)

changing the road on which the data is collected

EOC #16-30 Math III

Total questions: 15

Worksheet time: 11mins

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