END OF COURSE ALGEBRA II

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1 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, 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.

2 ISD676

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 = s = 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 ac 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 and solve each question. Then mark the space on our answer document for the best answer. or this test ou ma assume that the value of the denominator of a rational epression is not zero. SMPLE 6( a + ) a i a a + = D 6 a 6( a + ) a 6a 6a + a + a

6 Which is a simplified form of the following epression? 9, D 77,7 7 Which is a true statement? ( )( ) ( )( ) ( )( + ) ( )( ) = + = + = + J + = 6

7 Which is equivalent to the following epression?? D 0 ( ) If no denominator is equal to zero, which is a simplified form of the following epression? J ( + ) ( + ) ( ) ( + ) ( ) ( + ) + ( )( ) 7

8 Which is equivalent to ? D 9 6 Which statement is a result of appling the transitive propert of inequalities? iven: < 7 and 7 < + 7 < < < J 7 < 7 Which is equivalent to the epression below? ( + i) + i ( ) D 0i 6+ 6i 6+ 0i 0i 8

9 8 What is the completel factored form of the following epression? ( + ) ( ) ( ) ( + ) ( 6 ) ( + ) ( )( + ) J If, which is an equivalent form of the following epression? ( ) + ( + ) D ( ) + + 9

10 0 Which is an equivalent form of the following? 8i 9i i +0 J 9 Which equation represents the statement below? a is inversel proportional to b. D a = k + b a = kb b a = k k a = b 0

11 What tpe of function is f ( ) = ( ) +? J Quadratic Linear Eponential Step Ohm s Law relates to a simple electric circuit and states: The resistance is directl proportional to the voltage and inversel proportional to the current. One circuit has a resistance of 8 ohms when the voltage is 8 volts and the current is 6 amperes. What is the resistance of a second circuit that has a voltage of 8 volts and a current of 8 amperes? D 0 ohms 6 ohms 8 ohms 6 ohms

12 Which graph best represents the following equation? = ( ) O O O J O

13 If f 8, what is D 68 ( ) = + f ( 8? ) 6 The table below shows the value of a certain collectible baseball card over eight ears. Year ( ) Value ( ) (in dollars) Which eponential equation best represents the data? J = 8. ( 6. ) =. 8( 9. 8) = 0. ( 0. ) =. ( 9. )

14 7 What are the first three terms of the sequence defined b the following equation? a n ( ) = 7+ n, 7, 7,, 7,, 7 D 7,, 7 8 This table of ordered pairs contains elements of a function of. 0 6 Which equation could define the function? = + = + J = ( ) + ( ) + = 7

15 9 Which appears to be the graph of a quadratic function? O O O D O

16 0 Which lists four consecutive terms of a geometric sequence?,, 8, 6 6, 9,,, 8, 9, 768 J 7,,, 68 Which is a root of f if 0 D ( ) = 0 ( ) = ( + )( ) f? iven the functions defined above, the composite function equal to ( ) = ( ) = f g 6 6 J 6 g( f( )) is 6

17 Which equation best represents the line of best fit for the data in the scatterplot above? = = + = 9 + D = ssuming the domain is the set of all real numbers, what is the range of the following function of? = + ll integers ll real numbers ll real numbers greater than or equal to 0 J ll real numbers greater than or equal to 7

18 Which is most likel the equation of the line of best fit for the data given in the table? = = = 0. D = ssuming k is a constant of variation, which equation represents a situation in which varies jointl as a and b? J = kab ab = k k = ab ka = b 8

19 7 Which shows the solution to the following inequalit? > D What is the solution set for the equation below? { } { } J 6 { 8, } 0 = 8 9

20 9 What is the solution to the equation? + = 7 = 7 = = D = 0

21 0 What is the apparent solution set for the equation associated with the following graph? J { },, { }, O 6 7

22 What is the solution for the equation below? = 9 = = 9 D = = 8 What is the solution set for the following equation? J { 7, } {, } {, } { 7, } + 6 7= 0

23 What is the solution set for the following equation? D i ± i ± {, } {, } 6 = If 6 + =, then = or = 7 = or = 6 7 = or = J = or = 6

24 Which graph best represents the given inequalit? + O O O D O

25 6 Which graph best represents the following equation? = O O O J O

26 O Which appears to be an -intercept of the graph shown? 0 D 6

27 8 Which graph most closel represents ( + ) + ( + ) = 9? O O O J O

28 O Which equation is best represented b the graph? ( ) + ( ) + ( ) ( ) + = = + = D = 8

29 O Which is an apparent factor of the polnomial graphed above? ( ) ( ) (. ) ( ) J + polnomial function has zeros and. Which is one of the factors of the polnomial? ( + ) ( ) ( + ) ( ) D + 9

30 O This is a portion of the graph of a conic section. Which equation most likel represents this graph? = = = J = 0

31 0 90 = 0 Which sstem of linear equations is equivalent to the matri equation above? D + 9 = = 0 + = = 0 + = = 0 + = = 0 Which matri is equivalent to? J

32 harlie bought jeans, j, and T-shirts, t, at a clothing store. The receipt showed that a total of seven items was purchased and that the jeans were $8 each and the T-shirts were $ each. If he spent a total of $6 before ta, which sstem of equations could be used to determine the number of jeans he purchased? D 7j + t = 8 j + t = 6 8 j + t = 6 j + t = 7 8 j + t = 7 j + t = 6 j + 8t = 6 j + t = What are the corner points of the feasibilit region for the given sstem of inequalities? ( ) ( 0 ) (, ), ( 0, 6), (, ) ( ) ( ) ( ) J,,,,, 0,,,,,,,,,, 0 ( )

33 7 Which sstem of inequalities is best represented b the graph above? D O

34 8 What is the solution set for the given sstem of equations? = = { } (, 8 ), (, ) {( 70, ), ( 0, )} {(, ), ( 0, )} {(, 8 )} J 9 Which is the apparent solution set to the sstem of equations shown on the graph? O - - D {( 9, ), ( 9, )} {( 0, ), ( 0, )} { } ( 9, ), (, ) {( 9, )}

35 0 iven: = and 0 = Which matri is the product? J , , , 0 7 0

END OF COURSE ALGEBRA II (2001 Revised)

END OF COURSE ALGEBRA II (2001 Revised) 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,