Free Printable Math 4 Final Exam Review #1

1.

a)

9

b)

-50

c)

150

d)

80

2.

Find the length of side AC.

a)

12

b)

10

c)

23

d)

14

3.

Which Law would you use to solve for Angle B?

a)

Law of the Jungle

b)

Law of Cosines

c)

Law of the Gravity

d)

Law of Sines

4.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

5.

Solve for the value of x.

a)

5.0

b)

6.1

c)

7.7

d)

6.4

6.

Find the measure of the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

7.

Find the measure of the missing angle.

a)

135^o

b)

35^o

c)

45^o

d)

30^o

8.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63.6 ft

b)

1.59 ft

c)

74.2 ft

d)

86.9 ft

9.

Determine the measure of ∠A.

a)

53 degrees

b)

37 degrees

c)

49 degrees

d)

41 degrees

10.

Find x: log₅(x) = 0

a)

No Solution

b)

x = 0

c)

x = 5

d)

x = 1

11.

log₅25 = ?

a)

2

b)

5

c)

125

d)

10

12.

log_x1000=3

a)

1

b)

10

c)

30

d)

3

13.

Simplify:
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

14.

f(x) = 3x - 4 and g(x) = 4x - 2. Find f(x) - g(x)

a)

-x - 2

b)

-x - 6

c)

-x + 2

d)

-7x + 6

15.

a)

half the students drank from 78 to 114 fluid ounces.

b)

the greatest number of students drank from 30 to 78

c)

the data represents 78 student responses

d)

the mean number of fluid ounces that the students drank is 78

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?

a)

0.161

b)

0.965

c)

0.015

d)

0.997

19.

a)

A

b)

B

c)

C

d)

D

20.

What is the domain and range of the logarithmic graph ?

a)

$D\ :\ -3<x<\infty\ \ \ \ \ \ \ \ \ R\ :\ \ y\ >\ -\infty$

b)

$D\ :\ -3<x<3\ \ \ \ \ \ \ \ \ \ \ \ \ \ R:\ y\le3$

c)

D\ :\ -\infty\ <x<\infty\

R:\ y>3

21.

Annual sales for a clothing store is $270,000 and are increasing at a rate of 7% per year. What will the sales amount be after three years?

a)

$250, 341.51

b)

$330,761.61

c)

$126,201.10

22.

Match the graph with its equation

a)

y = log₆(-x) + 1

b)

y = log₆(x − 2) + 1

c)

y = log₆(x + 2) - 1

d)

y = log(x-8) + 1

23.

Find the corresponding graph of
$-\log_4\left(x+1\right)+2$

a)

b)

c)

d)

24.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

25.

a)

$\frac{5\pi}{6}$

b)

$\frac{7\pi}{6}$

c)

$\frac{31\pi}{6}$

d)

$-\frac{17\pi}{6}$

e)

$-\frac{11\pi}{6}$

26.

a)

a

b)

b

c)

c

d)

d

27.

a)

a

b)

b

c)

c

d)

d

28.

a)

a

b)

b

c)

c

d)

d

29.

The diagram shows he height of an ocean tide. State the amplitude of the tide.

(a)

30.

The diagram below shows the graph of a cosine functions. What is the function of the graph?

a)

$y=\cos\ 2x$

b)

$y=4\cos\ \frac{1}{2}x$

c)

$y=4\ \cos\ \frac{2}{3}x$

d)

$y=4\ \cos\ 2x$

31.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

32.

What is m(-3)?

a)

-3

b)

0.5

c)

3

d)

-3.5

33.

The number of hours of daylight on any day of the year in Philadelphia, PA is modeled using the equation $y=12+2.4\sin\left(\frac{2\pi\left(x-80\right)}{365}\right)$ where x represents the day number with Jan 1 as day 1. Find the number of hours of daylight on day 172, the longest day of the year.

a)

14.4 hours

b)

12.0 hours

c)

9.6 hours

d)

12.1 hours

34.

The number of hours of daylight on any day of the year in Philadelphia, PA is modeled using the equation $y=12+2.4\sin\left(\frac{2\pi\left(x-80\right)}{365}\right)$ where x represents the day number with Jan 1 as day 1. Find the day numbers of the two days when the number of daylight hours is closest to 13.

a)

day 105

b)

day 238

c)

day 91

d)

day 273

35.

a)

b)

c)

d)

36.

Perform the indicated operation

a)

b)

c)

d)

e)

Undefined

37.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

38.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

39.

(3 + 8i)(-2 - i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

40.

If vector a= (4, -5) and vector b= (-7, 4) Find a+b

a)

(3, 9)

b)

(-3, -1)

c)

(11, 1)

d)

(-3, -9)

41.

If vector a= (4, -5) and vector b= (-7, 4) Find a-b

a)

(-11, -9)

b)

(11, 9)

c)

(11, -9)

d)

(-3, -1)

42.

If vector a= (4, -5) and vector b= (-7, 4) Find 2a-3b

a)

(29, -22)

b)

(13, -2)

c)

(1, 7)

d)

(29, -2)

43.

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

a)

〈-10,3〉

b)

〈-6,3〉

c)

〈10,11〉

d)

〈-6,-3〉

44.

Find the magnitude of the vector <10, -8>

a)

2

b)

12.81

c)

6

d)

18

45.

To do market research, a telemarketing firm randomly selected 1000 names from a store's database and contacted them. Classify the sampling method.

a)

simple random

b)

systematic Random

c)

voluntary

d)

convenience

46.

To get reactions about a particular new car, readers of a car magazine were asked to mail in their answers to a survey. Classify this sampling technique.

a)

simple random

b)

systematic Random

c)

voluntary

d)

convenience

47.

When a random sample starting

point is chosen, followed by every

n-th individual, this sampling

method is

a)

simple random sampling

b)

stratified random sampling

c)

systematic random sampling

d)

Voluntarily random sampling

48.

Find the mean (expected value) of the probability distribution.

a)

85

b)

83.2

c)

87.1

d)

84.4

49.

Find the Standard Deviation of a binomial distribution when n = 16, p = 0.15, and x = 10

a)

24

b)

2.4

c)

2.04

d)

1.428

50.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have less than 5 accidents?

a)

0.6915

b)

0.1753

c)

0.8238

d)

-0.93

Math 4 Final Exam Review #1

Total questions: 50

Worksheet time: 2hrs 16mins

Similar Resources on Wayground