Test Algebra II Dec

1 Which of these correctly shows this number written in scientific notation?

0.0000909

0.909 × 10-5

0.909 × 10-3

9.09 × 10-4

9.09 × 10-5

2 Write this number in scientific notation.

0.000036

3.6 × 10-5

3.6 × 106

3.6 × 105

3.6 × 107

3 Simplify the expression below.

232 × 22

184

533

2,116

6,112

4 What are the prime factors of 195?

3, 5, 7

3, 5, 13

5, 7

5, 13

5 What are the prime factors of 363?

3, 7

3, 11

3, 13

7, 11

6 Find the quotient.

(2x2 - 4x) ÷ (-2x)-x + 4

x - 4

x - 2

-x + 2

7 Simplify this expression using the laws of exponents.

1

4xy3 (12x2 - 20xy + 4y2)

3x3y3 - 5xy + y2

3x3y3 - 5x2y + y2

3x3y3 - 5x2y4 + xy5

12x2y3 - 5x2y4 + xy5

8 Simplify.

-2w(3x - 2y)-6wx - 4wy

-6wx - 2y

-6wx + 4wy

6wx - 2y

9 Simplify the expression below.

ab

6 ÷

b

ab2

6

ab

6

a2

6

ab

3

10

What is the value of the function f(x) = -3x2 - 2x + 4 when x = 3?

-29

-20

16

25

11

What is the range of the function f(x) = 4x - 3 given the domain D = {0, 1, 2, 3}?

R = {-1, 0, 5, 10}

R = {-1, 0, 5, 9}

R = (-9, -5, 1, 3}

R = {-3, 1, 5, 9}

12 Divide:

14x5 - 6x3 + 14x2

2x

7x4 - 3x3 + 7

7x4 - 3x2 + 7

7x4 - 3x2 + 7x

7x5 - 6x2 + 7x

13

Multiply: (-a3b2)(-a2b2)(-ab4)

-a5b8

-a5b16

-a6b8

-a6b16

14

Solve the inequality below.

2x - 1 < -5x > -3

x < -3

x > -2

x < -2

15


-9x -36

x -4

x -4

x 4

x 4

16


3(x - 4) 4x + 7

x -11

x -19

x -25

7

x -5

17 Divide:

26xy - 39y

13y

2xy2 - 3y2

2x - 3

2x - 3y

2y - 3x

18

Identify the equation of line that passes through (1, 2) and has slope of -5.

y = 7x - 5

y = -5x - 7

y = -5x + 7

y = -5x + 2

19

Multiply.

(n + 7)(n - 5)

n2 + 2n - 35

n2 - 35

n2 - 2n + 35

n2 - 2n - 35

20

Find the sum.

(3a2 + 2ab + 2b) + (5a2 - 3ab + 9)

8a2 - 2ab + 11b

8a2 - ab + 11b

8a2 - ab + 2b + 9

8a2 - 2ab + 2b + 9

21

Jake used an employment agency to find him a new job. Jake has agreed to pay the agency a commission equal to 4% of his first year's salary.

If the agency finds Jake a job that pays $7,500 a month, what amount of commission will Jake pay?

$300

$3,000

$3,600

$4,800

22

Ms. Ling's history exam contained 20 questions worth a total of 100 points. There were short answer questions worth 3 points each and a few short essay questions worth 11 points each.

Which system of equations correctly represents this situation?x + y = 203x + 11y = 100

x + y = 1003x + 11y = 20

x + 20 = 100y + 3 = 11

x + y = 1120x + 100y = 3

23

The ratio of wins to losses for Deerlake Middle School's football team is 3:2.

If Deerlake won 9 football games, how many games did they play in all?

12

13

15

17

24

Last year the snowfall in Ridgefield County was 7.20 inches. This year the snowfall was 2.88 inches.

By what percentage did the snowfall decrease from last year to this year?

6%

50%

60%

166%

25

Identify the equation that represents the following situation:

Three times the sum of a number and one is equal to four times the number.

3n + 1 = 4n

3(n + 1) = 4n - 3n

3(n + 1) = 4n

3(n - 1) = 4n

26

Amelia gets 4 points for each correct answer on her science quizzes, and she loses 1 point for each wrong answer. On her quiz last week, Amelia earned 50 points and answered 25 questions.

Which system of equations correctly represents this situation?

4c - w = 50c + w = 20

4w - c = 20c + w = 50

4c - w = 50c + w = 25

4w - 4c = 50c + w = 25

27

Identify the equation that represents this situation.

Eleven more than twice a number is one less than four times the number.

11 + 2n = 1 - 4n

2n - 11 = 1 - 4n

2n + 11 = 4n - 1

11 + 4n = 2n - 1

28

Andrew paid an agency 10% of his first year's rent for finding him an apartment. His rent is $1,800 per month.

What is the amount of the commission that Andrew paid the agency?

$216

$900

$1,800

$2,160

29

Kelly earns a 7% commission on the total amount of her sales. This year, she had $210,000 in sales.

How much commission did Kelly earn?

$14,700

$30,000

$147,000

$195,300

30

Joe's annual salary last year was $20,000. Joe's annual salary this year is $25,000.

By what percentage did Joe's salary increase this year?

15%

20%

25%

50%

31

What is -75 + 37?

-48

-38

48

102

32

Jackson Middle School has 170 students, and 68 of them take Spanish.

What percentage of the students take Spanish?

2.5%

33.3%

40%

60%

33

What is -9 - (-21)?

-30

-12

12

30

34

What is -12 ÷ (-16)?

-0.8

-0.75

0.75

0.8

35

A bag of Wonderdrops candy contains 60 pieces, and 12 pieces in each bag are red.

What percentage of the pieces are red?

5%

12%

20%

25%

36

This table shows population data for ten South American countries, according to a 1990 census.

CountryPopulation(millions)

Argentina 32

Bolivia 7

Brazil 150

Chile 13

Columbia 33

Ecuador 10

Paraguay 5

Peru 22

Uruguay 3

Venezuela 19

What is the median of this data?

16 million

19 million

22 million

29 million

37

This table shows the number of advertising contracts a newspaper representative sold over an eight-week period.

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8

22 17 30 22 25 19 15 26

What is the mode of this data?

20

21

21.5

22

38

This data represents Joanne's test scores in her biology class.

85, 76, 89, 94, 83, 70, 81, 86

What is the mean of this data set?

80

81

82

83

39

Look at the box-and-whisker plot.

What is the third quartile of the data set above?

53

65

79

90

40

This graph shows the size of the fish, in inches, that Carlin caught on a fishing trip with her uncle.


32 inches

38 inches

44 inches

52 inches

41

The stem-and-leaf plot below shows the results of an English test taken by students in Mr. Twig's class.

What was the mean score?

92

86

83

84

42

Eight runners competed in a 300-meter race at the Kings County district track meet.

How many different outcomes are possible for first, second, and third place if there are no ties?

21

56

336

512

43

This table shows the average low temperatures for the southwest region of Florida.

MonthAverage

Temperature (°F)

January 53

February 52

March 57

April 61

May 66

June 70

July 72

August 72

September 72

October 66

November 60

December 55

What is the mode of this data?

57°

63°

66°

72°

44

This table shows the number of people who visited Bull Run Park last week.

Day Number of People

Monday 367

Tuesday 273

Wednesday 369

Thursday 214

Friday 319

Saturday 326

Sunday 284


284

319

326

367

45

Which box-and-whisker plot correctly represents the data?

70, 76, 80, 74, 78, 56, 86, 80, 80, 81, 40, 75, 98, 101, 103

46

One number is 251 more than another number. The smaller number is 169. Let n represent the larger number.

Which of these equations shows this situation algebraically?169 = 251 + n

251 = 169 - n

n = 169 + 251

n = 251 - 169

47

After addressing 50 envelopes for a charity fund-raiser, a volunteer had fewer than 28 envelopes remaining to address.

Which inequality correctly represents this situation, if x is the total number of envelopes the volunteer needs to address?

50 - x > 28

28 < x - 50

x + 50 > 28

28 > x - 50

48

Write an inequality to represent the following situation:

Eight more than a number is at most the product of five and that number.n + 8 > 5n

8 + n > 5 + n

8 + n < 5/n

n + 8 < 5n

49

Identify the equation that represents the following situation:

Six times the sum of a number and 4 equals one less than the number.6n + 4 = n - 1

n + 24 = 1 - n

6(n + 4) = 1 - n

6(n + 4) = n - 1

50

After reading 175 pages of a novel, Andrea has fewer than 35 remaining to finish the novel.

Which inequality correctly represents this situation, if Andrea's novel has a

total of x pages?x + 35 < 175

x - 175 < 35

175 + x < 35

x - 175 > 35

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Test Algebra II Dec