algebra 2 benchmark test

AVUHSD Algebra 2 / Quarter 2Benchmark Examination #!"! ""

1

51. Which polynomial represents ? #B " B '

A #B '#

B #B "$B '#

C #B ""B '#

D #B ""B '#

52 What is the simplified form of the expression below?

- -%? #? " '? )? ? À$ # $ #

-F "!? '? ? "$ #

-G "!? '? ? "$ #

H #? '? ? "$ #

J #? '? ? "$ #

53. - - $B )B # "!B B "# œ# #

A -"$B *B "%#

B (B (B "!#

-C "$B *B "%#

D (B (B "!#

54. Which graph best represents the solution to the system of equations below? B #C œ (

B C œ "

F

-6 -3 3 6

-6

-3

3

6

G

-6 -3 3 6

-6

-3

3

6

H

-6 -3 3 6

-6

-3

3

6

J

-6 -3 3 6

-6

-3

3

6


2

55. If - which point shows the3 œ "ß location of in the plane.$ #3

A

-5 5real axis

imaginary axis5i

-5i

.

B

-5 5real axis

imaginary axis5i

-5i

.

C

-5 5real axis

imaginary axis5i

-5i

.

D

-5 5real axis

imaginary axis5i

-5i

.

56. -Given that what is3 œ "ß the value of 3 À"$

F "

-G "

-H 3

J 3

57. If - then 3 œ "ß #3 )3 À A "'

-B "'

C "!

-D "!

58. Which of the following is equivalent to the expression below?

"$3#$3

F ""*3"$

G (*3"$

H -(*3"$

J -""*3"$


3

&*Þ - ( )3 $ *3 œ

-A "! "(3

-B "! 3

-C % "(3

-D % 3

60. What is the product of the complex numbers & $3 and ? & $3

F ) *3

G $% *3

H $%

J "'

61. Tickets to a local movie were sold at $8 for adults and $5 for students. If 250 tickets were sold for a total of $1580, how many student tickets were sold?

A *!

B "&!

C $"'

D "%!

62. Which graph best represents the system of inequlaities below? -C $B #

$B C $ F

-5 5

-5

5

G

-5 5

-5

5

H

-5 5

-5

5

J

-5 5

-5

5


4

63. You have $107.10 in nickels and dimes. There are 1117 coins all together. Which system of equations can you use to find the number of each type of coin you have?

A B C œ """(

!Þ!&B !Þ"!C œ "!(Þ"!

B B C œ "!(Þ"!

Þ!&B Þ"C œ """(

C B C œ """(

Þ!&B Þ"C œ "!("!

D B C œ """(

&B "!C œ "!(Þ"!

64. What is the complete solution to the inequality below?

' l$B *l

- and -F B & B Ÿ "

- and -G B Ÿ & B "

and H B " B Ÿ &

and J B Ÿ " B &

65. What is the complete solution of the inequality below?

- -$l#B )l Ÿ "&

or A B B Ÿ$ "$# #

and B B B Ÿ$ "$# #

C $ "$# #Ÿ B Ÿ

or D B Ÿ B $ "$# #

66. What is the complete solution of the inequality shown below?

' $l#B (l Ÿ "&

-F B &

-G B Ÿ #

- -H & Ÿ B Ÿ #

- or -J B & B Ÿ #

67. ./ 0 &.

'/ 0$

# # $

' %

ì œ

A './ 0&

$ #

B '/ 0&

% #

C &.'/ 0

'

) '

D '&


5

')Þ B CB C

' %

$ %- œ

F BC

#

G BC

$

)

H B C$ )

J B*

69. Which expression is equivalent to the product of B $B %#

and B # À

A B B "!B )$ #

B B &B #B )$ #

C B B *B '$ #

D B "!B )$

70. $B # $B %B B % œ $ #

F B #B " # '$B#

G B #B " # '$B#

H B #B " # '$B#

J B #B " # '$B#

71. What is the remainder when is dividedB $B &B #% $ #

by B $ À

A ""&

-B %(

C "$

-D #

72. Which expression is equivalent to #&C % À#

F &C # &C #

G &C % &C "

H &C # &C #

J &C # &C #

73. )B #(C$ $

A #B $C $

B #B $C %B 'BC *C# #

C #B $C %B 'BC *C# #

D #B $C %B 'BC *C# #


6

74. Which expression shows the complete factorization of ?%B #B 'B$ #

F B %B #B ' #

G # #B B $B $ #

H #B #B $ B " J #B #B $ B #

75. What is the solution to system of equations shown below?

-

$+ #, #- œ "

#+ &, &- œ (

%+ $, - œ $

A "ß $ß #

- -B "ß $ß #

-C *ß !ß #

-D "ß $ß #

76. What is the solution to the system of equations shown below?

- -- -'B )C œ "!

%B )C œ "#

- -F "ß #

-G "!ß "'

- -H "ß "#

-J "ß "

77. What is the complete factorization of -$+ #%+ À%

-A $+ " )+ $ -B $+ " #+ " #+ %+ # -C $+ " #+ $ -D $+ " #+ " #+ %+ #

78. %? " ?#? % #?"

#

# ì œ

F ?"?$

G #?"?#

H ?##?"

J #?"?#


7

79. 7 88 7

" #$

#

- -ì œ

A 7 887

$ #

%

B 7

C 78

(

$

D 78

80. $B#"&C

œ

F %&B C#

G B&C

#

H C&B#

J B%&C

#

81. 5

"

"5#

5#

5#

œ

A 5"5#

B 5"5#

C 5 #5"5 5#

#

#

D 5#5"

82. B C B C$B C 'B C

- -

- -

# # #

# # #ƒ œ

F #BC

#

%

G #B C% #

H B#C

#

%

J #CB

#

%

83. Juanita wrote the equation

B "'B%

#

œ B %

on an exam. Which of the following statements is correct about the equation she wrote?

The equation is always true.A

The equation is always true,B except when -B œ %Þ

The equation is not trueC except when -B œ %Þ

The equation is never true.D


8

84. Which product of factors is equivalent to + , - À# #

F + , - + , -

G + , - + , -

H + , - + , -

J + , - + , -

85. If - what is the value3 œ "ß of 3 À"!$

A 3

-B 3

C "

-D "

86. If - which point in the3 œ "ß diagram below shows the location of $ %3 À

-5 5real axis

imaginary axis

.

5i

-5i

.

A.

B

.C

D

Point AF

Point BG

Point CH

Point DJ


9

87. Which system of inequalities best represent the graph shown below?

-10 -5 5 10

-10

-5

5

10

-

A C #B $

C B "#

&

-

B C Ÿ B $"

#

C B "&

#

-C C B $"

#

C B "&

#

-

D C B $"

#

C B "&

#

88. $ BB" B" œ

F $BB "#

G B #B"B "

#

#

H B %B$B"

#

# J $B

#B

89. #B" &B "' B%# œ

A #B'B "'#

B -$B#"B "'#

C #B%B "'#

D -$B"*B "'#

90. B (B"! %BB )B"& B $B")

# #

# #ƒ œ

F B'B#

G B'B#

H -(B"%#B &B$#

J B'#B


10

Questions refer to the*" *$ stem and leaf plot below À

" #ß $ß $ß &# "ß "ß #ß )$ !ß !ß !ß #ß &% !ß "ß "ß $ß %& #ß $

91. What is the mode of the data set?

A "$

B #"

C $!

and D " $

92. What is the median value in the data set?

F $!

G $"

H $!Þ&

J #*

93. Which of the answer choices is the range of the data set?

A '&

B %"

C $)

D ')

Questions and refer to the*% *& data set below À

$ß &ß (ß (ß *ß ""

94. What is the mean score?

F '

G &Þ$

H )

J (

95. What is the variance of the data set round to the nearest tenth ? A #Þ!

B %Þ!

C 'Þ(

D (Þ!


11

96. The heights of students at"!!! a local high school were recorded and found to be approximated by the normal curve below. What is the mean and the standard deviation for this data?

32 39 46 53 60 67 74

F %'ß $

G &$ß (

H '!ß (

J &$ß &

97. What is the inverse function, , of the function0 B-" 0 B œ B $ À "

&

A 0 B œ &B "&-" B 0 B œ &B $-" C 0 B œ &B "&-" D 0 B œ &B $-"

98. Given that 0 B œ B #B & #

and - what is the1 B œ $ Bß value of 1 0 " À F (

G #*

H "$

-J (

99. If and0 B œ B $B % #

which step1 B œ #B B %ß #

is the first step in theincorrect simplification of the expression below? # † 0 B 1 B Step 1. # B $B % #B B % # #

Step 2. #B 'B ) #B B %# #

Step 3. %B &B %#

A Step 1

Step 2B

Step 3C

There is no error.D


12

100. If and0 B œ B B $ #

which is expression1 B œ B #ß is equivalent to the expression 0 B 1 B À ‚

F #B B '#

G B $B B '$ #

H B B B '$ #

J B $B &B '$ #