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Jan18 EOC Review2

Total questions: 23

Worksheet time: 21mins

Name
Class
Date
1.

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

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

• The mean was 48.5 mph, with a standard deviation of 2.5 mph.

Which choice would decrease the margin of error?

(Note: margin of error ≈ 2 sn2\ \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

2.

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

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

• The mean was 48.5 mph, with a standard deviation of 2.5 mph.

What is the margin of error?

(Note: margin of error ≈ 2 sn2\ \frac{s}{\sqrt[]{n}} where s is the sample standard deviation and n is the sample size.)

a)

0.05

b)

0.25

c)

0.5

d)

2.5

3.

In rectangle FGHI, diagonals FH and GI intersect at E.

What is the length of FH ?

a)

5 units

b)

10 units

c)

19 units

d)

38 units

4.

In rectangle FGHI, diagonals FH and GI intersect at E.

What is the value of x?

a)

14 units

b)

20 units

c)

17 units

d)

34 units

5.

In parallelogram MNPT, m∠M =(6x + 10)° and m∠N= (5x + 10.5)° .

How many degrees is ∠T ?

a)

83

b)

42.5

c)

97

d)

48.5

6.

In parallelogram MNPT, m∠M =(8x - 20)° and m∠P= (5x + 40)° .

How many are angles M and P?

a)

20

b)

140

c)

40

d)

120

7.

The x-coordinate of point M is -1/2.

What is the measure of θ to the nearest thousandth of a radian?

a)

4.712

b)

4.189

c)

3.927

d)

3.665

8.

The x-coordinate of point M in the first quadrant is 1/2.

What is the measure of θ to the nearest thousandth of a radian?

a)

1.047

b)

2.094

c)

3.927

d)

2.567

9.

Given H(x) = 4x3−5x2−23x+64x^3-5x^2-23x+6 ,

What is the distance between the two zeros that are closest to each other?

a)

5.0 units

b)

3.25 units

c)

2.75 units

d)

2.25 units

10.

How would you describe the function in the [-1, 3] interval?

a)

decreasing

b)

increasing

c)

negative

d)

positive

11.

How would you describe the function in the [-4, 1] interval?

a)

decreasing

b)

increasing

c)

negative

d)

positive

12.

How would you describe the function in the [-4, -inf] interval?

a)

decreasing

b)

increasing

c)

negative

d)

positive

13.

How would you describe the function in the [3, +inf] interval?

a)

decreasing

b)

increasing

c)

negative

d)

positive

14.

What is the remainder when x3+2x−5x^3+2x-5 is divided by (x - 1)?

a)

-2

b)

3

c)

-4

d)

5

15.

What is the remainder when 4x2+54x^2+5 is divided by (x+ 2)?

a)

21

b)

-21

c)

13

d)

-13

16.

If f(x) = k(x – 2)4, where k is positive,

what is the effect on the graph of f(x) as k increases?

a)

The graph of f(x) is shifted up.

b)

The graph of f(x) is shifted down.

c)

The graph of f(x) is stretched vertically.

d)

The graph of f(x) is stretched horizontally.

17.

If f(x) = (x – 2)4+ k, where k is negative,

what is the effect on the graph of f(x) as k increases?

a)

The graph of f(x) is shifted up.

b)

The graph of f(x) is shifted down.

c)

The graph of f(x) is stretched vertically.

d)

The graph of f(x) is stretched horizontally.

18.

Given f(x) = (x – 2)4,

the graph of the parent function f(x) = (x )4 should move

a)

up 2 units

b)

down 2 units

c)

to the right 2 units

d)

to the left 2 units

19.

Two piecewise functions are shown.

What is h(2)?

a)

-6

b)

6

c)

9

d)

8

20.

Two piecewise functions are shown.

What is 6h(1)?

a)

-3

b)

-6

c)

-18

d)

30

21.

Two piecewise functions are shown.

What is g(3)?

a)

3

b)

6

c)

9

d)

27

22.

Two piecewise functions are shown.

What is 4g(-1)?

a)

3

b)

12

c)

-3

d)

-12

23.

Two piecewise functions are shown.

What is 3h(5) - 2g(1)?

a)

69

b)

57

c)

6

d)

63