END OF COURSE ALGEBRA II

Transcription

1 SESSION: PE: // : OIN IS-pam VIRINI STNRS OF ERNIN SSESSMENTS Spring Released Test EN OF OURSE ER II

2 SESSION: PE: // : OIN IS-pam Property of the Virginia epartment of Education by the ommonwealth of Virginia epartment of Education, ames Monroe uilding, N. th Street, Richmond, Virginia,. ll rights reserved. Ecept as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner. ommonwealth of Virginia public school educators may photocopy or print any portion of these Released Tests for educational purposes without requesting permission. ll others should direct their requests to the ommonwealth of Virginia epartment of Education at () -, ivision of ssessment and Reporting.

3 SESSION: PE: // : OIN IS-pam lgebra II IRETIONS Read and solve each question. Then mark the space on the answer sheet for the best answer. SMPE What is the net term in the arithmetic sequence,,,,...? Which of the following equations is an eample of the distributive property? F ( ) z ( z) y y p (p ) y y Y Which is equivalent to? Y Y Which property is illustrated by this equation? ommutative Property for ddition istributive Property dditive Inverse dditive Identity

4 SESSION: PE: // : OIN IS-pam a a a a? Which is equivalent to? F Y F a Y a (a ) a a a a Which is equivalent to a b? ab ab Y a b Which is equivalent to y? a b Y y y y

5 SESSION: PE: // : OIN IS-pam Y Which of the following epressions cannot be factored into a product of lower degree terms over the set of real numbers? F a b y y a b Which is equivalent to i i? F i i i Y What is the sum of ( i) and ( i)? i Y i i f() The table shows some elements of a function. Which equation is most likely a rule for the function? Y rtodes Y.R f () f () f () f ()

6 SESSION: PE: // : OIN IS-pam Y rtodes Y.R y Which graph could represent a third-degree polynomial function? Y rtodes Y.R Y.R Y.R Y.R What is the equation of the function shown? for F f() for for for f() for for for f() for for for f() for for

7 SESSION: PE: // : OIN IS-pam Which is a zero of the function f()? y Y F Y rtodes Y.R If the domain of y is {,,, }, what is the range? Y {,, } {,,, } {,,, } {,,, } This is a portion of the graph of a polynomial function. pparently the function has a double zero F between and between and between and between and The volume (V) of a sphere varies directly with the cube of its radius (r). If k is the constant of proportionality, which is the formula for this relationship? V kr Y V kr V k r r kv

8 SESSION: PE: // : OIN IS-pam Y Two arithmetic means between and are F and and and and If f(n) n n, then f() Y Y riving a piling into a harbor bottom, a pile driver sinks the piling inches on the first stroke, inches on the second stroke, and inches on the third stroke. If the sequence is continued, how far will the piling be driven down on the th stroke? in. in. Which is the solution to? F or or or Which number line shows the solution to? Y Y in. rtodes in. Y.R Y.R Y.R Y.R Y ooke s law states that the force required to stretch a spring varies directly with the distance the spring is stretched. If a -pound force stretches a spring inches, what force is required to stretch the spring inches? F pounds pounds pounds pounds

9 SESSION: PE: // : OIN IS-pam Y What are the solutions to (y )? F y or y y or y y or y y or y The height of a right triangle is units more than twice its base. If the area of the triangle is square units, what is its height? units units Y What is the solution to? units Y units What are the solutions to? Y F or or i

10 SESSION: PE: // : OIN IS-pam Y What is the solution to F? pendulum inches in length takes t seconds to make one full cycle according to the equation t To the nearest tenth of an inch, what is the length of a pendulum that completes one full cycle every. seconds?. in.. in.. in.. in. Y What are the solutions to? Y i or or ori or polynomial function has a zero at. Which epression must be a factor of the polynomial? F Y What is the solution to? Y F

11 SESSION: PE: // : OIN IS-pam Which of the following could be the y Y rtodes Y.R Y.R Y.R Y.R graph of y? Y rtodes Y.R Which of the following sets contains all the apparent zeros for the function shown? F {} {,, } {,, } {,,, } What are the coordinates of the verte of the graph of y ( )? (, ) (, ) (, ) (, ) Y

12 Which describes the graph of y? Y SESSION: PE: // : OIN IS-pam F Parabola ircle Ellipse yperbola S T [ ] Which matri is the product S T? F [] Y Y rtodes Y.R y [ ] [ ] P Matri P shows the point value for the different ways points may be scored in a football game. Y section of the graph of a polynomial function with integral coefficients is shown. Which of the following sets most likely contains only elements that are factors of the polynomial? {( ), (.)} {( ), ( ), ( )} {( ), ( ), ( )} {, ( ), ( ), ( )} S Matri S shows the number of times a team scored points in a game categorized by the way points may be scored. What was the total number of points the team scored in the game?

13 SESSION: PE: // : OIN IS-pam Y small plant manufactures toy cars and trucks on two production lines. Matri is the input-output matri of each item on each line per hour. Matri gives the number of hours each line operates in a day. ine ine Trucks ars Number of ours and Which product represents the matri of the number of toy cars and trucks produced in a day on both production lines? Trucks F ars If and the product, then Y Trucks ars Trucks ars Trucks ars

14 SESSION: PE: // : OIN IS-pam y The graph shows the solution for which system of inequalities? Y rtodes Y.R The graph of the linear programming model consists of polygon and its interior. Under these constraints, which is the point where the maimum value of y occurs? F y y y y y y y Y rtodes Y.R y y y y y y

15 SESSION: PE: // : OIN IS-pam y y y Y rtodes Y.R Which is the solution to the system of equations above? {(, ), (, ), (, ), (, )} {(., ),(,.), (,.), (., )} {(, ), (, ), (, ), (, )} {(, ), (, ), (, ), (, )} Y This is a portion of the graph of a system of equations. Which is most likely the solution set for the system? F {(, )} {(, ), (, )} {(, ), (, )} {(, ), (, )}

16 SESSION: PE: // : OIN IS-pam Y eorge was comparing the heights of of his classmates with their algebra scores. Which of the following scatterplots is most likely a representation of that relationship? y Y Score rtodes Y.R rtodes Y.R Y.R Y.R Y.R F eight Score Which equation is nearest to the line of best fit of the data in this scatterplot? y y Score eight y y eight Score eight

17 SESSION: PE: // : OIN IS-pam Y Y In, sales at Electronics totaled. million dollars. uring, total sales amounted to. million. ssuming the growth in sales is a linear relation, what total sales can the company epect in? F. million. million. million. million The table shows the number of students enrolled in the advanced algebra program at Fairoaks igh School during the years since its initiation. Which line best fits the scatterplot data? y Y rtodes Y.R rtodes Y.R Year ( ) Number of Students ( n ) F y y y y Which of the following equations most closely describes the relationship between n, the number of students enrolled, and, the number of years the class has been in eistence? n n n n

18 SESSION: PE: // : OIN IS-pam Test Sequence orrect nswer Reporting ategory nswer Key Reporting ategory escription Epressions and Operations Epressions and Operations Epressions and Operations F Epressions and Operations Epressions and Operations Epressions and Operations Epressions and Operations Epressions and Operations Epressions and Operations Epressions and Operations Relations and Functions Relations and Functions Relations and Functions Relations and Functions Relations and Functions Relations and Functions Relations and Functions Relations and Functions Relations and Functions Relations and Functions Relations and Functions Equations and Inequalities Equations and Inequalities Equations and Inequalities Equations and Inequalities Equations and Inequalities Equations and Inequalities Equations and Inequalities Equations and Inequalities Equations and Inequalities Equations and Inequalities nalytical eometry nalytical eometry nalytical eometry nalytical eometry nalytical eometry nalytical eometry Systems of Equations/Inequalities Systems of Equations/Inequalities Systems of Equations/Inequalities Systems of Equations/Inequalities Systems of Equations/Inequalities Systems of Equations/Inequalities Systems of Equations/Inequalities Systems of Equations/Inequalities Statistical nalysis Statistical nalysis Statistical nalysis Statistical nalysis Statistical nalysis