END OF COURSE ALGEBRA II (2001 Revised)

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1 VIRINI STNDRDS O LERNIN Spring 00 Released Test END O OURSE LER II (00 Revised) orm M00, ORE Propert of the Virginia Department of Education opright 00 b the ommonwealth of Virginia, Department of Education, P.O. o 0, Richmond, Virginia 8-0. ll rights reserved. Ecept as permitted b law, this material ma not be reproduced or used in an form or b an means, electronic or mechanical, including photocoping or recording, or b an information storage or retrieval sstem, without written permission from the copright owner. ommonwealth of Virginia public school educators ma reproduce an portion of these released tests for non-commercial educational purposes without requesting permission. ll others should direct their written requests to the Virginia Department of Education, Division of Student ssessment and School Improvement, at the above address or b to Student_ssessment@doe.virginia.gov.

3 lgebra II ormula Sheet eometric ormulas b h h h h r l b = s bh b = bh l w V = lwh S..= (lw + lh + wh) p = 4s = s s b b h = h(b + b ) r h h V = h S..= lp + l w r a c l p = (l + w) = lw b c = a + b bbreviations Pi milligram mg gram g kilogram kg milliliter ml liter L kiloliter kl millimeter mm centimeter cm meter m kilometer km square centimeter cm cubic centimeter cm ounce pound quart gallon inch foot ard mile square inch square foot cubic inch cubic foot oz lb qt gal. in. ft d mi. sq in. sq ft cu in. cu ft 7 Quadratic ormula = b ± b 4ac a volume total surface area area of base V S.. ear month hour minute second r mon hr min sec

5 lgebra II Directions Read each question and choose the best answer. or this test ou ma assume that the value of the denominator is not zero. SMPLE 6( a + ) a i a a + = D 6 a 6( a + ) a 6a 6a + 4a+ 4 4 a

6 or non-zero denominators, which of the following is equivalent a 7a to aa ( + )( a+ )? a ( a ) ( a + ) D ( a ) ( a + ) What is the factored form of ( + 6z)( 6z) ( + z)( 6z) ( + 6z) J ( 6z) 6z? 4

7 Which of these is equivalent to? i 4 i 4 i 66 D i 8 4 Which comple number is equivalent to 6 6i 6i 8 6i J 8i ( 79i) ( + i)? What is the simplified form of 6 i? 4 4 D 6

8 6 The equation ( cos θ 7π)( ) = cos θ7π is an eample of which propert of real numbers? J ssociative propert Transitive propert Identit propert Refleive propert 7 Which epression is equivalent to 0? D 0 0 6

9 8 Which is equivalent to 4 9i + 9i J 8? 9 Which propert would justif the following statement? If + = and = 0, then + = 0. D Distributive propert Refleive propert of equalit Smmetric propert of equalit Transitive propert of equalit 7

10 0 Which epression is equivalent to J i i i 8 i 8 8 4, where 0 and 0? Using a a rn n =, what is the 0th term in this geometric sequence? 78, 90,6,9, D 9,76,6 0.,,,,,... 8

11 If f( ) = 7, what is the value of f ( 4)? J 9 iven: f ( ) = ( 4) What is the verte of the graph for this function? ( 4, ) ( 4, ) ( 4, ) D ( 4, ) 9

12 4 The graph shown most accuratel represents which of the following functions? O f ()= f ()= f ( )= J f ( )= 0

13 iven: Sn = n a + n d ( ) n outdoor theater has 7 seats in the first row, 40 seats in the second row, and 4 seats in the third row. If this pattern continues, what is the total number of seats in the first 0 rows? D 0 6 The graph of a 4th-degree polnomial is shown O Eactl how man real zeros does this function have? J 4

14 7 What is the value of ( 7n )? n= 9 6 D 7 8 Which of the following equations best models the data in this table? = 4 = + = + 4 J = +

15 9 The time it takes to do a job is inversel proportional to the number of workers. If 8 workers can do a job in 6 das, then 6 workers can do the same job in D. das das 6 das das 0 What tpe of function is = + 8? J Eponential Quadratic Linear Step

16 The graph most accuratel represents which of the following functions? O = + + = + = + D = + + The graph of = 4 is translated up 8 units. Which equation represents the translated graph? = 49 = = J = 4 4

17 Which equation represents the statement r is inversel proportional to s and directl proportional to the cube of t? D r r r r kt s = k = st ks = t kt = s 4 Which equation best represents the data in this table? = ln = = + J = +

18 iven f( ) = + 4 and g( ) = + 7, what is the value of g( f( ))? 8 D 7 6 Which lists four consecutive terms of an arithmetic sequence?, 0, 7, 4, 4, 9, 6,, 4, 8 J, 6, 0, 7 What are all the roots for the equation w 4 6 =? 9 and D 9 and 9 6

19 8 Which graph best represents the solutions to the inequalit 7? J What is the solution set for { 8} { 4} { 4} D { } k + = 64 8? 7

20 0 What is the solution set of the equation {, } {, } + = 0? { i, + i} { i, + i} J What is the solution to 4 =? = = = 9 D = 9 Which is the solution set for ( + ) = 0? J { } { } { } {, } 8

21 What is the solution set for { } 8 { } { } 6 8 = if 0? D { 6 } 4 Which of the following represent the solutions to >? J < or > < < < or > < < 9

22 What is the solution set of + 7 = 6? D What is the solution set of + 7+ = 0? J,,,, 0

23 O Which best represents the equation of the graphed conic section? + = 6 9 = = 9 6 D = 9 6

24 8 Which graph most likel represents a function with a zero of? O O O J O

25 9 Which is a zero of the function f ( ) = ( + )( )( + )? 0 D 40 What are the coordinates of the verte of the graph of the function ( ) = +? (, ) (, ) (, ) J (, )

26 4 polnomial function has a zero at =. Which of the following epressions must be one factor of the polnomial? ( ) ( + ) D 4 Where does the graph of f( ) = ( )( + 9) cross the -ais? J, 0 and( 9, 0), 0 and(, 0), 0 and( 9, 0), 0 and( 4, 0) 4

27 4 If M = 7 which matri represents 0, M? D 4 0 9

28 pparentl, the sstem of equations graphed above has J eactl solution eactl solutions eactl solutions no solutions 4 The dimensions of matri P are 6. The dimensions of matri Z are What are the dimensions of matri PZ?. 0 6 D 6 6

29 46 If P = P Q= and i, then what is the value of Q? J What is the solution set for the following sstem of equations? {(, ),(, ) } { (, ),(, )} ( {, ),(, ) } { } D (, ),(, ) + = + = 7

30 48 What appears to be the maimum value of P = + 6 for the feasible region in the graph? J Which ordered pair represents a solution to the following sstem of inequalities? + 4 < ( 6, 4) (, 6) (, ) D ( 4, 4) 8

31 9 0 The matri equation represents which sstem of linear equations? J = = = = 4 6 = + = 4 6 = + = 4 6 =

32 nswer Ke-EO04-M00 Test Sequence Number orrect nswer Reporting ategor Reporting ategor Description D 00 Epressions and Operations 00 Epressions and Operations 00 Epressions and Operations 4 J 00 Epressions and Operations 00 Epressions and Operations 6 00 Epressions and Operations 7 00 Epressions and Operations 8 00 Epressions and Operations 9 D 00 Epressions and Operations 0 00 Epressions and Operations 00 Relations and unctions 00 Relations and unctions 00 Relations and unctions 4 00 Relations and unctions 00 Relations and unctions 6 00 Relations and unctions 7 D 00 Relations and unctions 8 J 00 Relations and unctions 9 00 Relations and unctions 0 00 Relations and unctions 00 Relations and unctions J 00 Relations and unctions D 00 Relations and unctions 4 00 Relations and unctions 00 Relations and unctions 6 00 Relations and unctions 7 00 Equations and Inequalities 8 00 Equations and Inequalities 9 00 Equations and Inequalities 0 00 Equations and Inequalities 00 Equations and Inequalities 00 Equations and Inequalities D 00 Equations and Inequalities 4 00 Equations and Inequalities 00 Equations and Inequalities 6 00 Equations and Inequalities naltical eometr naltical eometr 9 D 004 naltical eometr naltical eometr naltical eometr naltical eometr 4 00 Sstems of Equations/Inequalities Sstems of Equations/Inequalities 4 00 Sstems of Equations/Inequalities 46 J 00 Sstems of Equations/Inequalities 47 D 00 Sstems of Equations/Inequalities Sstems of Equations/Inequalities Sstems of Equations/Inequalities 0 00 Sstems of Equations/Inequalities

33 lgebra II (00 Revised), ore If ou get this man items correct: Then our converted scale score is:

END OF COURSE ALGEBRA II

END OF COURSE ALGEBRA II VIRINI STNDRDS O LERNIN Spring 007 Released Test END O OURSE LER II orm M07, ORE Propert of the Virginia Department of Education 007 b the ommonwealth of Virginia, Department of Education, P.O. o 0, Richmond,