END OF COURSE ALGEBRA I

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1 VIRGINIA STANDARDS OF LEARNING Spring 008 Released Test END OF COURSE ALGERA I Form M08, CORE Propert of the Virginia Department of Education 008 b the Commonwealth of Virginia, Department of Education, P.O. o 0, Richmond, Virginia 8-0. All 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. Commonwealth of Virginia public school educators ma reproduce an portion of these released tests for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or b to Student_Assessment@doe.virginia.gov.

2 ISD770

3 Algebra I Formula Sheet Geometric Formulas b h h h h r l b s A= bh b A=bh l w V = lwh S.A.= (lw + lh + wh) p= s A=s s b b h A= h(b + b ) r h h V= h S.A.= lp + l w r a c l p= (l + w) A=lw b c =a + b Abbreviations 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 Formula = b b ac a volume total surface area area of base V S.A. ear month hour minute second r mon hr min sec Copright 006 b the Commonwealth of Virginia Department of Education

5 Algebra I Directions Read each question and choose the best answer. Then fill in the circle on our answer document for the answer ou have chosen. For this test ou ma assume that the value of the denominator is not zero. SAMPLE If f( ) = + +, what is the value of f ( ) when = 6? A 7 C D 60

6 Which is most likel the graph of a line with a positive slope? A O O C O D O

7 Given the following equation, which could be the value of? ( )( + ) = F G H J Line l has slope and goes through (, ). Which is one form of the equation for line l? A = + = + C = + D = + What is the solution set for the following quadratic equation? + = 0 F G H { } { } {, } J {, }

8 = 0 + = 7 What is the solution to the sstem of equations shown above? A (, ) (, ) C, D (, ) 6 What is the slope of the line =? F G H J 6

9 7 What are the -intercepts of the graph of the following equation? A 7 and and7 C and7 D 7 and = What is the solution to the following inequalit? 6( + ) 7 F 6 G 6 H J 6 9 Andrea has 7 coins, all nickels and dimes. The value of the 7 coins is $.0. How man dimes does Andrea have? A 9 C D 7

10 0 To train for a biccle road race, Enrique needs to ride 0 miles per week at an average rate of miles per da. The equation M = 0 d gives the number of miles, M, left to ride after d das. Which graph shows the number of miles Enrique has left to ride after d das? Remaining Mileage F Number of Miles Number of Das Remaining Mileage G Number of Miles Number of Das Remaining Mileage H Number of Miles Number of Das Remaining Mileage J Number of Miles Number of Das 8

11 O Which is closest to the slope of the line graphed above? A C D 9

12 What is the slope of the line that passes through (, ) and (, )? F G H 7 7 J What is the solution to the following sstem of equations? + = + = 7 A =, = =, = C =, = D =, = What is the solution to the following equation? F = G = H = J = 7 = + 0

13 The dashed line on each grid represents =. On which grid is apparentl represented as well? = A O O C O D O

14 6 Jerri wrote these steps when solving an equation. Which propert justifies Step? 7( + ) = 6 Step : 7 + = 6 Step : 7 + = Step : 7 = 9 9 Step : = 7 F G H J Associative propert for addition Commutative propert for addition Distributive propert Additive identit propert 7 What value of m satisfies the equation shown below? A 9 C. D 7. ( m ) = ( m+ )

15 8 O Which equation best represents the line shown on the grid? F = G = H = J = 9 Which epression is not equivalent to the following epression? i A C 9 D 7 i

16 0 Which is a factored form of the following epression? 6 F ( ) G ( ) H ( ) J ( + )( ) Written in simplest radical form, is equal to A C 6 D 8

17 If 0, what is the quotient when the following division is performed? F + G + + H 6 + J ) If children sign up for a field trip and each vehicle carries children, which epression could be used to determine the number of vehicles needed for the trip? A C D Which is equivalent to the following epression? F 6a + b G 6a + ab H a + b J a + ab a( a+ b)

18 If 0, which is equivalent to the following epression? A C D Which epression is equivalent to the following epression? F G 9 H J ( ) 7 Which is equivalent to the following epression? ( + )( ) A C + D + 7 6

19 8 Which is a factor of a 8? F a + G a + 9 H a + 7 J a What is the value of the epression A 9 C 0 D 6 + z z if =, =, and z =? 0 What is the following product? ( pq r )( q r s ) F 7qr 7 G 7qr 6 7 H 0pq r s 6 J 0pq r s 7

20 Which equation fits the pattern in the table? A C = + = + = + D = In which table does not var directl as? F G H J 8

21 The following equation defines a function of. f( )= + If ( 6, n) is an element of the function, what is the value of n? A C D The number of water bottles used during a team s football practice varies directl with the temperature. If a team uses 7 bottles when the temperature is 60, what is the temperature if the use 0 bottles? F 96 G 9 H 8 J 80 If f ( ) =, which could be the equation for f( )? A C f ( )= + 8 f ( )= + f ( )= + D f ( )= + 9

22 6 The points in the table lie on the graph of a linear function. 7 0 Which could be the function? F = G = H = J = 7 Which is a zero of the function defined b the following equation? f( )= 6 A 6 C D 0

23 8 The ordered pairs in the sets shown below are of the form (, ). In which set of ordered pairs is a function of? F G H {(, ), (, 9), (, ) } {( 0, ), ( 0, ), ( 0, ) } {(, ), (, ), (, ) } { } J ( 0, ), (, ), ( 0, ) 9 If f( ) = +, what is f ( 0)? A 0 C D

24 0 Which graph does not represent a function of? F O G O H O J O

25 The depth of a lake, d, varies directl with r, the amount of rainfall last month. If k is the constant of variation, which equation represents the situation? A C r d = d = k k r d = k+ r D d = kr Each of the following tables contains elements of an (, ) relationship. Which table contains four points that cannot lie on the graph of a function of? F 0 G H 6 8 J 0 9 6

26 Kala works four das a week as a waitress and as a nann. The hours she works each da are shown. waitress nann M 6 Tu W 6 Th 7 Once school starts, she wants to cut all her hours b one-half. Which matri represents the new work schedule? A C D

27 The heights in inches of each member of the four groups of a choir are represented in the bo-and-whisker plots Soprano Group Alto Group Tenor Group ass Group Which group has the median with the greatest value? F G H J Soprano Alto Tenor ass

28 Alvin and en compared the weights of the members of each of their respective teams in their Phsical Education class. Alvin s Team Weights (pounds) en s Team Weights (pounds) What is the difference in the median weights of the two teams? A C D 0.0 lb 0.7 lb 0.00 lb.000 lb 6

29 6 The enrollment at an elementar school is represented b the following matri. bos girls 0 If 60% of the bos and 60% of the girls are selected for a field trip, which matri represents the number of students going on the field trip? F 90 8 G 0 H J

30 8 7 What is the difference of the two matrices? A C 7 0 D 7 0

31 8 Sall believes that the more time she spends in the grocer store, the more mone she spends. Her recent purchases are recorded in the table. Minutes in Store, 8 6 Dollars Spent, Which linear equation best fits the data? F = + 0 G = 0 + H = 0 + J = 0 9

32 9 Debbie recorded the time it took seven children of different ages to run one lap around the track. Age of Child (ears) Time (seconds) Using a linear equation of best fit, which is closest to the length of time it should take Debbie s 6-ear-old niece to run one lap? A C D 00 sec 8 sec 70 sec 0 sec 0

33 0 Which is equivalent to the following scalar product? F G H J

34 Answer Ke-EOC00-M08 Test Sequence Number Correct Answer Reporting Categor Reporting Categor Description A 00 Equations and Inequalities J 00 Equations and Inequalities 00 Equations and Inequalities F 00 Equations and Inequalities A 00 Equations and Inequalities 6 G 00 Equations and Inequalities 7 D 00 Equations and Inequalities 8 G 00 Equations and Inequalities 9 C 00 Equations and Inequalities 0 F 00 Equations and Inequalities A 00 Equations and Inequalities G 00 Equations and Inequalities C 00 Equations and Inequalities F 00 Equations and Inequalities A 00 Equations and Inequalities 6 H 00 Equations and Inequalities 7 A 00 Equations and Inequalities 8 H 00 Equations and Inequalities 9 A 00 Epressions and Operations 0 G 00 Epressions and Operations C 00 Epressions and Operations G 00 Epressions and Operations C 00 Epressions and Operations G 00 Epressions and Operations A 00 Epressions and Operations 6 J 00 Epressions and Operations 7 C 00 Epressions and Operations 8 G 00 Epressions and Operations 9 00 Epressions and Operations 0 H 00 Epressions and Operations 00 Relations and Functions J 00 Relations and Functions A 00 Relations and Functions F 00 Relations and Functions D 00 Relations and Functions 6 H 00 Relations and Functions 7 D 00 Relations and Functions 8 H 00 Relations and Functions 9 A 00 Relations and Functions 0 H 00 Relations and Functions D 00 Relations and Functions G 00 Relations and Functions C 00 Statistics J 00 Statistics D 00 Statistics 6 J 00 Statistics 7 C 00 Statistics 8 G 00 Statistics 9 A 00 Statistics 0 J 00 Statistics

35 Algebra I, Core 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,