END OF COURSE ALGEBRA 1

Transcription

1 SESSION: 0 PE: //06 6: OIN ISgaro VIRINI STNRS O ERNIN Spring 00 Released Test EN O OURSE ER ORE Propert of the Virginia epartment of Education opright 006 b the ommonwealth of Virginia epartment of Education, ames Monroe uilding, 0 N. th Street, Richmond, Virginia, 9. 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 and retrieval sstem, without written permission from the copright owner. Please contact the ommonwealth of Virginia epartment of Education at (80) 0, ivision of ssessment and Reporting, to request written permission. Printed in the United States of merica

2 006_lgormulaSht //0 0:0 M Page lgebra I 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 m liter kiloliter k 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 opright 006 b the ommonwealth of Virginia epartment of Education

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4 SESSION: 0 PE: //06 6: OIN ISgaro lgebra I IRETIONS Read and solve each question. Then mark the space on the answer sheet for the best answer. or this test ou ma assume that the value of a denominator is not zero. 0 SMPE Y0008 If f(), what is the value of f() when 6? 7 60 Ron paid $7.00 for compact disks and a case. If the price of each compact disk was $.60, what was the price of the case? $.00 $.0 $.00 $6.00 What is the solution to ( ) ( )? 7 0 What is the solution to 8? Y Y ommonwealth of Virginia epartment of Education

5 SESSION: 0 PE: //06 6: OIN ISgaro 096 Y06060 rtodes Y06060.R Y06060.R Y06060.R Y06060.R Which of the following is most likel a graph of? 6a a a(a ) What propert makes this equation true? The refleive propert The associative propert The commutative propert The distributive propert 0688 Y ommonwealth of Virginia epartment of Education

6 SESSION: 0 PE: //06 6: OIN ISgaro 00 Y0706 rtodes Y0706.R Y0706.R Y0706.R Y0706.R 6 Which of the following is most likel the graph of a line with a slope of 7 What is the intercept of 8? zero? 090 Y What is the slope of the line through (, ) and (, )? 8 Y What is the slope of the line? 098 Y ommonwealth of Virginia epartment of Education

7 SESSION: 0 PE: //06 6: OIN ISgaro 00 0 Which is an equation for the line with Y08006 a slope of that passes through the origin? Which graph best represents a line with a intercept of and slope? 09 Y060 rtodes Y060.R Y060.R Y060.R Y060.R 00 0 Which is an equation for the line which contains (, ) and the origin? Y ommonwealth of Virginia epartment of Education

8 SESSION: 0 PE: 6 //06 6: OIN ISgaro 009 Y0806 rtodes Y0806.R Mrs. rews bought pencils and pens for $.60. Miss ouston bought pencils and pens of the same kind for $.60. What was the price of each pencil and each pen? $.70 per pencil, $0.0 per pen $0.0 per pencil, $.0 per pen $0.7 per pencil, $.6 per pen $0.80 per pencil, $0.80 per pen 08 Y09006 Which equation most likel represents the line shown on the graph? The perimeter of a rectangular plaing field is feet. If its length is feet longer than twice its width, what are the dimensions of the field? 0 ft, ft ft, 0 ft 0 ft, 8 ft ft, 80 ft 00 Y Y0900 Which is the solution to the sstem of equations shown? (, 7) 7 What are the solutions to the equation below? or or 9 or or Y070 (, 7) (, ), 006 ommonwealth of Virginia epartment of Education 6

9 SESSION: 0 PE: 7 //06 6: OIN ISgaro Which is the solution set for 0? Y00 {7, } {7, } {, 7} {, 7} What is the perimeter of the triangle shown in the drawing? 080 Y00 rtodes Y00.R 06 9 If z / 0, Y06 z 6z 8 z 6 z z z ma be written as ,80 8,00 08 Y000 0 ()( ) is equivalent to 09 Y Which is equivalent to p 6 p? p 8 p 8 p 0 0 Y0060 p 006 ommonwealth of Virginia epartment of Education 7

10 SESSION: 0 PE: 8 //06 6: OIN ISgaro 87 If / 0, which epression is equivalent to the one shown below? 6 Y When completel factored, 7 0 equals ( )( ) ( )( ) ( )( ) ( )( 6) 07 Y When is completel factored, which is one of its factors? 096 Y06 08 board that is c feet long supports the stairs as shown below. Y00 rtodes Y00.R c 8 ft ft 8 Which is the simplest radical form of? 869 Y070 To find the value of c, ritne used the following epression. 8 What is c to the nearest tenth of a foot? 6.0 ft 0.0 ft.6 ft. ft 9 What is the value of a( b) ifa and b? Y ommonwealth of Virginia epartment of Education 8

11 SESSION: 0 PE: 9 //06 6: OIN ISgaro The base of a triangle is units more than h, its height. Which epression represents its area? Y0066 h(h ) h(h ) h(h ) Input When the input is, what is the output? 9 6 f () = Output f () 0670 Y0R rtodes Y0R.R h(h ) Trina s pacheck earnings, p, varies directl as the number of hours, h, she works. If she works 9 hours and earns Y80R0 $87., what should she earn if she worked 0 hours? $9.00 $. $7.80 $ The ordered pairs in the sets shown below are of the form (, ). In which set is a function of? {(, ), (, 6), (, ), (6, )} {(, ), (, ), (, ), (, )} {(, ), (, 0), (, ), (, 7)} {(0, ), (, ), (, ), (, 8)} 877 Y ommonwealth of Virginia epartment of Education 9

12 SESSION: 0 PE: 0 //06 6: OIN ISgaro 087 The table shows the relationship between a, the area of a rectangle, and h, its height, when the base remains constant. Y0007 rtodes Y0007.R Which equation represents the relationship between h and a? a h 6 a h h 7 a a h a h The total number, n, of emploees at a compan depends on the compan s earl gross profits according to the equation n 0p 0, where p is the earl gross profit in millions of dollars. If the earl gross profit declined from 0 million dollars to million dollars, what was the decrease in the number of emploees? Y0R0 6 Which of these pairs of the form (, ) could not lie on the graph of a function of? (, ) and (, ) (, ) and (, ) (, ) and (, ) (, ) and (, ) 099 Y00R9 006 ommonwealth of Virginia epartment of Education 0

13 SESSION: 0 PE: //06 6: OIN ISgaro 0 7 Which of the following represents the graph of a function of? Y00R0 rtodes Y00R0.R Y00R0.R Y00R0.R Y00R0.R 0 8 The function below contains ordered pairs of the form (, ). f {(6, ), (, ), (, )} What is the range of the function? {} {,,,,, 6} {,, 6} {,, } 860 Y Which is a zero of the function 0 8 f() 0? 06 Y0R If f(), what is f()? 860 Y ommonwealth of Virginia epartment of Education

14 SESSION: 0 PE: //06 6: OIN ISgaro 889 The point (q, 0) lies on the graph of the following function. Y07 f() 6 What is the value of q? These are boandwhisker plots of four different groups of test scores. Which has the greatest range? Y70R rtodes Y70R0.R Y70R0.R Y70R0.R Y70R0.R In the table, varies directl with. 879 Y Which equation best describes the data? ommonwealth of Virginia epartment of Education

15 SESSION: 0 PE: //06 6: OIN ISgaro student scored 8, 9, 67, and 8 on four tests. What score would the student need to make on the net test to have a mean score of 7? Y70R {, 6, 6, 8, 9, 0} Y70R0 or the data set shown, which measure is the greatest? Mean Median Mode Range 6 Sam and Ma sell bags of peanuts and popcorn at baseball games. This matri shows the number of bags the sold during the ul st game. Sam Ma Peanuts 6 Popcorn 0 8 This matri shows the number of bags each sold during the ul nd game. Sam Ma Peanuts 67 Popcorn 7 Which matri shows how man more bags were sold during the second game than in the first? Sam Ma Peanuts 90 Popcorn Y000 Sam Ma Peanuts 8 Popcorn 9 Sam Ma Peanuts 8 Popcorn 7 Sam Ma Peanuts 8 Popcorn ommonwealth of Virginia epartment of Education

16 SESSION: 0 PE: //06 6: OIN ISgaro 7 8 Y0070 If 6 8 and 7 what is? , 8 deliver service compan maintains several vehicles. The table summarizes the cost for auto insurance related to the number of vehicles insured. Number of ost ($) Vehicles,700,00,700,00,700 6,00 Using the equation of a line of best fit for the data, which is the closest estimate of the total cost of insuring eight vehicles? $,00 $,00 $,00 $, Y ommonwealth of Virginia epartment of Education

17 SESSION: PE: //06 : OIN ISgaro n engine is tested for torque output at different revolutions per minute. Y608 rtodes 078.R Torque (ft lb) Which equation most closel defines the line of best fit for the data? rpm ( 00) Which equation defines the linear line of best fit for the data in the table? Y ommonwealth of Virginia epartment of Education

18 SESSION: 0 PE: 6 //06 6: OIN ISgaro Test Sequence orrect nswer Reporting ategor nswer Ke Reporting ategor escription 00 Equations and Inequalities 00 Equations and Inequalities 00 Equations and Inequalities 00 Equations and Inequalities 00 Equations and Inequalities 6 00 Equations and Inequalities 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 00 Equations and Inequalities 00 Equations and Inequalities 00 Equations and Inequalities 6 00 Equations and Inequalities 7 00 Equations and Inequalities 8 00 Equations and Inequalities 9 00 Epressions and Operations 0 00 Epressions and Operations 00 Epressions and Operations 00 Epressions and Operations 00 Epressions and Operations 00 Epressions and Operations 00 Epressions and Operations 6 00 Epressions and Operations 7 00 Epressions and Operations 8 00 Epressions and Operations 9 00 Epressions and Operations 0 00 Epressions and Operations 00 Relations and unctions 00 Relations and unctions 00 Relations and unctions 00 Relations and unctions 00 Relations and unctions 6 00 Relations and unctions 7 00 Relations and unctions 8 00 Relations and unctions 9 00 Relations and unctions 0 00 Relations and unctions 00 Relations and unctions 00 Relations and unctions 00 Statistics 00 Statistics 00 Statistics 6 00 Statistics 7 00 Statistics 8 00 Statistics 9 00 Statistics 0 00 Statistics