END OF COURSE ALGEBRA I CORE 1

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1 SESSION: 8 PE: //0 0:7 OIN IS-glenn VIRINI STNRS O ERNIN SSESSMENTS Spring 00 Released Test EN O OURSE ER I ORE Property of the Virginia epartment of Education 00 by the ommonwealth of Virginia epartment of Education, ames Monroe uilding, 0 N. th Street, Richmond, Virginia, 9. ll rights reserved. Except 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 (80) -0, ivision of ssessment and Reporting.

2 SESSION: 8 PE: //0 0:7 OIN IS-glenn lgebra I IRETIONS Read and solve each question. Then mark the space on the answer sheet for the best answer. or this test you may assume that the value of a denominator is not zero. SMPE Which statement cannot be justified by one of the properties of real numbers? (a b) c a (b c) a (b c) (a b) c (ab)c a(bc) (a b) 0 0 (a b) Y00 Which is equivalent to b6 b? b b b 8 b The volume of a rectangular solid is 960 cubic inches. The dimensions of the base are inches by 0 inches. Y00 Y000 onsider the procedure used below to solve the given equation. iven: (x ) 7 (st step) x 6 7 (nd step) x (rd step) x Which of the following properties is a justification for the st step? 0 in. in. What is the height of the solid? in. 8 in. 0 in. 80 in. rtodes Y00.R ssociative property of addition ommutative property of addition istributive property Transitive property of equality What is the solution to n? Y ommonwealth of Virginia epartment of Education

3 SESSION: 8 PE: //0 0:7 OIN IS-glenn Y0600 rtodes Y0600.R This graph represents y x O The left side of a solid block is held at a constant temperature of 00. The temperature profile within the block is given by T 00 x x where x is the distance from the left side of the block in centimeters and T is the temperature in degrees elsius of the block at location x. t what value of x is T 0? x cm x 0 cm x cm x 0 cm Y If the line in the graph is shifted down units, which is the equation for the new line? y x y x y x y x 00 ommonwealth of Virginia epartment of Education

4 SESSION: 8 PE: //0 0:7 OIN IS-glenn Y06008 rtodes Y06008.R Y06008.R Y06008.R Y06008.R 7 Which graph best represents the equation of the line with slope of and y-intercept of? O Which equation is the slope-intercept form of y x 6 y 6 x x 6y x 6y? Y0606 6y x O Which line on the graph below has a negative slope? Y O - rtodes Y0700.R O O ommonwealth of Virginia epartment of Education

5 SESSION: 8 PE: //0 0:7 OIN IS-glenn 0 Which is an equation of the line with Y07006 rtodes Y07006.R slope that passes through the point (, )? y x Y O y x y x y x The line shown contains (, ) and (, ). What is the slope of the line? Which equation fits the data in the table? y x y x y x y x Y0800 rtodes Y0800.R What is the slope of the line Y0700 y x? Karen makes $ per hour baby-sitting and $ per hour giving music lessons. One weekend, she worked a total of 8 hours and made $9. ow many hours did she spend baby-sitting? Y ommonwealth of Virginia epartment of Education

6 x y x y 7 Y SESSION: 8 PE: 6 //0 0:7 OIN IS-glenn What is the solution to the system of equations shown above? x 6, y x, y x, y 6 x, y 7 8 Which of the following is a solution of the equation 8 0 x x 0 0? Y0 6 The rcadia Theater charges $ for adult tickets and $ for student tickets. Y090 Mr. Steele purchased 9 tickets (some student and some adult) for $. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets Mr. Steele purchased? a s a s 9 a s a s 9 a s a s 9 a s 9 a s 9 The formula for the surface area of a cylinder is S r(h r). What is the value of S when r centimeters and h centimeters? 8 cm cm 6 cm cm 0 consulting engineer bills his customers $90 for each hour he works. If a client s bill is $9, which equation could be used to find the number of hours worked? 90 x 9 Y000 Y What is the solution to the inequality shown below? x x 9 Y0078 x x x x x 7 9x ommonwealth of Virginia epartment of Education 6

7 SESSION: 8 PE: 7 //0 0:7 OIN IS-glenn Which is equivalent to Which is one of the correct factors of Y0060 (ab )(a b )? ab 6a b 6a b (x ) (x 6) (x 9) (x ) x x 8? Y0 6a b 8 Which expression is equivalent to Y0 x y(x y xy )? x y 6x y x y x y x 6 y 6x y If x / 0, which expression is equivalent to 6x 6 x x 6 x 6x 7 x x x 6 x 8x 7 x x? x Y009 x 6 y 6x y 6 If ab / 0, which is equivalent to Y00 rtodes Y00.R onsider the models above. a b a 6a b 6a b a b 6ab? Y0006 rtodes Y00.R What polynomial is represented by this diagram? 6x x x x 6x 9x 9x 6x 00 ommonwealth of Virginia epartment of Education 7

8 SESSION: 8 PE: 8 //0 0:7 OIN IS-glenn 7 When factored completely, Y080 x 9 equals (x )(x ) (x )(x 9) (x ) (x ) 0 Which measure is closest to the length of a side of a square that has an area of square feet?.0 ft.9 ft 6. ft. ft Y060 8 The speed of sound in water is.6 0 meters per second. Y000 The speed of sound in air is. 0 meters per second. ow much faster does sound travel in water than in air?.8 0 m/s.9 0 m/s.8 0 m/s.9 0 m/s The ordered pairs shown form a quadratic pattern ? Y009 rtodes Y009.R 9 Which is closest to the value of Y ()(6)? What is the missing value of y? ommonwealth of Virginia epartment of Education 8

9 SESSION: 8 PE: 9 //0 0:7 OIN IS-glenn Y000 rtodes Y000.R Which equation is true for all the values in the table? y x 9 y x y x y x What is the range of the function If f (x) x x, what is f ()? 0 6 Which is a zero of the function f(x) x 8x 7? Y0R Y0R0 Y0R06 f(x) (x ) when the domain is {, 0, }? {, 6, 6} {, } {, 6} {,, 8} 00 ommonwealth of Virginia epartment of Education 9

10 SESSION: 8 PE: 0 //0 0:7 OIN IS-glenn 6 The graph of the function f(x) x isshown. Y0R0 rtodes Y0R0.R O The table gives the average per capita income, d, in a region of the country as a function of the percent unemployed, u. Which equation represents this data algebraically? d 0,000,000u u d,00,000 d,000 00u d,000 00u d,000,00u,00,000 Y000 rtodes Y000.R What is the value of f()? ommonwealth of Virginia epartment of Education 0

11 SESSION: 8 PE: //0 0:7 OIN IS-glenn 8 Which of these data sets represents a function? Y00 rtodes Y00.R Y00.R Y00.R Y00.R The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 7 words in minutes, how long would it take her to type,00 words? 0 minutes 0 minutes minutes minutes Y80R y O Y00R rtodes Y00R.R x ) What is the range of the function of x graphed above? {all real numbers } {all real numbers } {all real numbers between 6 and } {all real numbers between and } 00 ommonwealth of Virginia epartment of Education

12 SESSION: 8 PE: //0 0:7 OIN IS-glenn If y varies directly as x and the constant of variation is, which equation represents this relationship? Y80R y x y x y x Sally recorded her daily grades for one grading period. 88, 88, 87, 9, 78, 88, 9, 00, 9, 90, 9, 9 What was her mean grade? Y70R6 y x Y80R6 rtodes Y80R6.R Which is an equation for the variation that includes all the data in the table? xy 0.0 y x 0.0 $0.0 $0.0 $0. $0.0 $0. Mr. ndrews made a box-and-whisker graph of the quiz grades in his chemistry class Which is the median quiz grade for the class? Y70R8 rtodes Y70R8.R y 0.0x y x ommonwealth of Virginia epartment of Education

13 SESSION: 9 PE: //0 : OIN IS-glenn This matrix shows the prices for some items at three hamburger shops. Y000 Shop Shop Shop urger $.60 $.60 $.0 ries $0.80 $0.60 $0.70 Shake $.00 $0.90 $.0 Each of the three shops honor their competitors coupons. Which matrix shows what the prices would be with a 0%-off coupon? $. $. $.90 $0.7 $0. $0.6 $0.90 $0.8 $.00 6 is equal to which matrix? Y000 $.6 $. $.89 $0.7 $0. $0.6 $0.90 $0.8 $ is equal to $.6 $. $.90 $0.7 $0. $0.6 $0.90 $0.8 $0.99 $. $. $.89 $0.7 $0. $0.6 $0.90 $0.8 $0.99 which matrix? Y ommonwealth of Virginia epartment of Education

14 SESSION: 8 PE: //0 0:7 OIN IS-glenn 8 The chart below shows the ages in years of the girls on two Olympic teams. Y707 ymnastics 7 6 Swimming What is the difference in the median ages of the two teams? 0 yrs yrs yrs yrs Y60R0 rtodes Y60R0.R 9 oe s New ar dealership lists the following prices for this year s models. Y70R $0,69, $,89, $,99, $7,999, $8,9, $,, $0,9, $,98 What is the range in prices? Using the data plotted on the scatterplot, which equation most closely describes a line of best fit for the data? y x 6 y x y x y x $,60 $, $0,80 $0, ommonwealth of Virginia epartment of Education

15 SESSION: 8 PE: //0 0:6 OIN IS-glenn Test Sequence orrect nswer Reporting ategory nswer Key Reporting ategory 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 Expressions and Operations 0 00 Expressions and Operations 00 Expressions and Operations 00 Expressions and Operations 00 Expressions and Operations 00 Expressions and Operations 00 Expressions and Operations 6 00 Expressions and Operations 7 00 Expressions and Operations 8 00 Expressions and Operations 9 00 Expressions and Operations 0 00 Expressions 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