EOI Algebra II

Oklahoma School Testing Program

Oklahoma State Department of Education Oklahoma City, Oklahoma

Oklahoma Core Curriculum Tests

2011–2012Released Items

End-of-InstructionACE Algebra II

Copyright © 2011 by the Oklahoma State Department of Education. All rights reserved. Any other use or reproduction of this document, inwhole or in part, requires written permission of the Oklahoma State Department of Education.

1

Section 1

2GO ON

Section 1DirectionsRead each question and choose the best answer.

2

What is the simplified form of this expression?

F

G

H

J

17 20 68x x−

−39 17x

−19 17x

−21 85x

−20 85x

1 Which expression is equivalent to

A

B

C

D −⎛

⎝⎜⎞

⎠⎟35

4

47

−⎛

⎝⎜⎞

⎠⎟35

7

74

53

4

47

53

7

74

35

47( )

−

?

3

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3

What are the quotient and remainder when this division is performed?

A Quotient: Remainder: 1

B Quotient: Remainder: 7

C Quotient: Remainder:

D Quotient: Remainder: 4 5x +

x x x3 22 2− − +

x x x3 22 2− − +4 5x +

x x3 23−

x x3 23 6− +

x x xx

5 4

22 3 7

1− + +

+

4

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5 What is the product of and

A

B

C

D 26 2+ i

26 2− i

14 2+ i

14 2− i

( )?2 4+ i( )3 5− i

4 Which expression is equivalent to

F

G

H

J1

3 3 2( )( )( )x x x− + −

13 22( ) ( )x x− +

12x +

x + 2

13

62x

x x

?−

− −

5

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6

What is the value of

F

G 0

H

J undefined

8572

−1336

fg

⎛⎝

⎞⎠

−( )?6

f x x

g x x x

( )

( )

= −

= + −

2

2

49

3 18

6

Section 1

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The graph shows y f x= ( ).

1 2 3 4 5-5 -4 -3 -2 -1-1-2-3-4-5

54321

x

y

Use the information below to answer Number 7 on the next page.

7

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7 Which graph shows y f x=−1( )?

1 2 3 4 5-5 -4 -3 -2 -1-1-2-3-4-5

54321

x

yA

1 2 3 4 5-5 -4 -3 -2 -1-1-2-3-4-5

54321

x

yB

1 2 3 4 5-5 -4 -3 -2 -1-1-2-3-4-5

54321

x

yC

1 2 3 4 5-5 -4 -3 -2 -1-1-2-3-4-5

54321

x

yD

8

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8 Which graph represents the solution set to the system of inequalities below?

y x

y x

< +

< −

⎧

⎨⎪

⎩⎪

2323

2

1

2 3-3 -2 -1-1-2-3

321

x

y

1

F

2 3-3 -2 -1-1-2-3

321

x

y

1

G

2 3-3 -2 -1-1-2-3

321

x

y

1

H

2 3-3 -2 -1-1-2-3

321

x

y

1

J

9

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10 The height of a projectile, is modeled as a function of time, t, inseconds.

How long is the projectile in the air?

F 0 seconds

G 2 seconds

H 4 seconds

J 8 seconds

h t( ),

h t t t( )= 3− +2 1282

9

What is the solution set of this equation?

A

B

C

D−{ }13

{ , }0 3

13

13, −{ }

{ }3

9 6 1 02x x+ + =

10

Section 1

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11

What is the equation of this graphed hyperbola?

A

B

C

D ( ) ( )y x− −− =32

12

2 21

( ) ( )y x− −− =34

14

2 21

( ) ( )x y− −− =12

32

2 21

( ) ( )x y− −− =14

34

2 21

1 2 3 4 5-5 -4 -3 -2 -1-1-2-3-4-5

54321

x

y

11

Section 1

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12 Which graph represents yx

= ( )13 ?

1

1 2 3 4 5 6 7-7-6-5-4-3-2-1-1-2-3-4-5-6-7

234567

x

yF

H J

G

1

1 2 3 4 5 6 7-7-6-5-4-3-2-1-1-2-3-4-5-6-7

234567

x

y

1

1 2 3 4 5 6 7-7-6-5-4-3-2-1-1-2-3-4-5-6-7

234567

x

y

1

1 2 3 4 5 6 7-7-6-5-4-3-2-1-1-2-3-4-5-6-7

234567

x

y

12

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14

Given that and are factors of this polynomial equation, what is the third factor?

F

G

H

J 2 3 122x x+ +

2 3x +

2 5x −

2 1x −

( )x − 1( )x + 2

2 5 2 03 2x x x+ − + =

13 Karen hears a scream that has a relative intensity, R, of 90 decibels. The

relative intensity of a sound, R, in decibels is given by the formula

where I is the intensity of a sound and is the

threshold for hearing. How does the intensity of this scream, I, compare to

the intensity of the threshold for hearing, ?

A 3,486,784,401 times as loud

B 1,000,000,000 times as loud

C 900 times as loud

D 9 times as loud

I0

I0R II= ( )log ,10

0

13

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15 Kylie is making a box with an open top from a square piece of cardboardthat measures 11 inches on each side.

First, she cuts out squares of uniform side length, x, from each corner of thecardboard. Then she folds the cardboard to form the lateral faces of thebox. Which function models the volume of the box?

A

B

C

D

V = Bh

V x x x( ) ( )= −11 2

V x x( ) ( )= −11 2

V x x x( ) ( )= −11 2 2

V x x( ) ( )= −11 2 2

= foldKey

x

x

x

x

x x

x x

14

Section 1

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16

What are the solutions of this equation?

F

G

H

J x x= =43 2 and

x x= = −34 2 and

x x= = −43 2 and

x x= =34 2 and

2 52

3x x+ =

15

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17 Tanisha used this table to compare the number of school yearbookspurchased (y) in Mr. Bach’s class each year (x) that he was a teacher.

Which scatter plot represents the data in the table?

1

23

2

22

3

23

4

24

5

23

6

22

7

23

Teaching Year

Number of Yearbooks

Teaching Year

Nu

mb

er

of

Yearb

oo

ks

Yearbooks Purchased inMr. Bach’s Class

y

x

2423222120

0 1 2 3 4 5 6 7 8

A

C D

B

Teaching Year

Nu

mb

er

of

Yearb

oo

ks

Yearbooks Purchased inMr. Bach’s Class

y

x

2423222120

0 1 2 3 4 5 6 7 8

Teaching Year

Nu

mb

er

of

Yearb

oo

ks

Yearbooks Purchased inMr. Bach’s Class

y

x

2423222120

0 1 2 3 4 5 6 7 8

y

x

2423222120

0 1 2 3 4 5 6 7 8Teaching Year

Nu

mb

er

of

Yearb

oo

ks

Yearbooks Purchased inMr. Bach’s Class

16

Section 1

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18

Which type of function best models the data in this table?

F exponential

G logarithmic

H quadratic

J linear

x y

-3

-2.5

-1

-0.5

1

1.5

2

3

3

2

1.5

1

-0.5

-1

-2.5

-3

17

Section 1

19

Which formula can be used to determine the 50th term of this sequence?

A

B

C

D s50

504 4 1 51 1 5= −

−( ).

.

a50494 1 5= ( ).

s50502 4 80 5= +( ).

a50 4 50 1 1 5= + −( )( ).

na

nth term: n = a1

a1

a + n −1)d

Sum: sn =n

2+ an( )

Arithmetic Sequences & Series

Geometric Sequences & Series

nth term: = a1r

n−1

Sum: sn =a1

1 − rn( )

1 − r( )

(

)(

4 6 9 13 5 20 25, , , . , . , . . .

STOP

18

STOPEND OF SECTION 1

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