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SESSION: 21 PAGE: 1 1/26/04 8:53 LOGIN IS-joer PATH: @sunultra1/raid/CLS_tpc/GRP_va_sprg03/JOB_03-olptg11/DIV_g11alg1-1 VIRGINIA STANDARDS OF LEARNING ASSESSMENTS Spring 2003 Released Test END OF COURSE ALGEBRA I Property of the Virginia Department of Education 䉷 2003 by the Commonwealth of Virginia Department of Education, James Monroe Building, 101 N. 14th Street, Richmond, Virginia, 23219. All 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. Commonwealth of Virginia public school educators may photocopy or print any portion of these Released Tests for educational purposes without requesting permission. All others should direct their requests to the Commonwealth of Virginia Department of Education at (804) 225-2102, Division of Assessment and Reporting. SESSION: 19 PAGE: 2 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 Algebra I 3 DIRECTIONS Read and solve each question. For this test you may assume that the value of a denominator is not zero. V ⴔ r2h AY010108 where r is the radius of the cylinder and h is the cylinder’s height. Which equation could be used to solve for h? SAMPLE b6 Which is equivalent to 2 ? b 1 A b3 3 B b 1 AY030104 墌 C L 2 墌 C b 墍 D b8 Which property of real numbers is utilized by rewriting 11x ⴐ 5xy as x(11 ⴐ 5y)? Associative property for addition B Commutative property for addition C Closure property for multiplication D Distributive property for multiplication over addition 墍 B h⫽ C h ⫽ V ⫹ r2 D h ⫽ V ⫺ r2 F 18 G 10 2 x + 74 x x + 274 Tambria’s property has the shape of a trapezoid with the dimensions shown. If the perimeter of the property is 3,279 feet, what is the value of x? 726 ft 墍 G 781.25 ft H 913.5 ft J 1,452 ft F 墍 ⫺9 2 2003 Commonwealth of Virginia Department of Education C AY010407 墍 C L C ⫺7 墍 V 墍 r2 x + 27 What is the solution to J h ⫽ r2V 4 A H A 4 2 ⴑ 4a ⴔ 16? AY010422 The volume of a cylinder is given by 2 ArtCodes AY010407.AR1 SESSION: 19 PAGE: 3 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 5 AY060420 6 Which graph best represents the ⴑ4 x ⴐ 2? function y ⴔ 3 墌 7x ⴑ 5 ⱖ x ⴐ 1? AY010601 墍 y C L What is the solution to the inequality F xⱕ1 G xⱖ1墍 H x ⱖ ⫺1 J xⱕ C 5 4 3 ArtCodes AY060420.AR1 AY060420.AR2 AY060420.AR3 AY060420.AR4 2 A 1 –5 –4 –3 –2 –1 0 –1 –2 1 2 3 4 5 x –3 –4 –5 5 2 y 5 4 3 2 B 1 –5 –4 –3 –2 –1 0 –1 –2 1 2 3 4 5 7 x y 5 A –3 –4 –5 B y 3 -5 -4 -3 -2 -1 2 1 0 –1 墍 3 C L ArtCodes AY070404.AR1 1 4 –5 –4 –3 –2 –1 4 2 5 C AY070404 1 2 3 4 5 x 墍 –2 –3 –4 –5 O -1 -2 -3 -4 -5 1 2 3 4 y C D 5 4 3 Which line has a negative slope? 2 D 1 –5 –4 –3 –2 –1 0 –1 –2 1 2 3 4 5 x A墍 B B C C D D A –3 –4 –5 2003 Commonwealth of Virginia Department of Education 3 5 x SESSION: 19 PAGE: 4 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 8 AY060301 9 Which line most likely has a slope of 1 and y-intercept 3? 2 墌 y ⴔ 6x ⴑ 1? AY070601 y C What is the slope of the graph of A ⫺6 B ⫺1 C 1 6 D 6墍 5 4 墍 C 3 ArtCodes AY060301.AR1 AY060301.AR2 AY060301.AR3 AY060301.AR4 2 F 1 –5 –4 –3 –2 –1 0 –1 1 2 3 4 5 x –2 –3 –4 –5 y 5 4 10 3 2 G 1 –5 –4 –3 –2 –1 0 –1 –2 1 2 3 4 5 What is the slope of the line that goes through x (ⴑ3, 2) and (3, 2)? –5 y F Undefined G 0墍 H 2 3 J 3 2 5 4 3 2 1 –5 –4 –3 –2 –1 0 –1 1 2 3 4 5 x 墍 –2 –3 –4 –5 y 5 4 3 2 J 1 –5 –4 –3 –2 –1 0 –1 –2 墍 C –3 –4 H AY070305 1 2 3 4 5 x –3 –4 –5 2003 Commonwealth of Virginia Department of Education 4 SESSION: 19 PAGE: 5 5/8/103 16:16 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 11 x y -2 0 2 4 3 2 1 0 12 AY080103 墌 C ArtCodes Roy works at the local grocery store and is paid $6.00 per hour. The graph shown describes his salary, S, based on the number of hours, t, he works. AY080504 Which equation fits the data in the table? AY080103.AR1 A y⫽ ⫺x 2 y⫽x⫹3 C y ⫽ 2x ⫺ 3 D y⫽ C 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ⫹2墍 B 墍 s x ⫹2 2 0 ArtCodes AY080504.AR1 1 2 3 4 5 6 7 8 t Which is an equation of the graph shown? 2003 Commonwealth of Virginia Department of Education 5 F S⫽6⫹t G S ⫽ 6t 墍 H S⫽ 6 t J S⫽ t 6 SESSION: 19 PAGE: 6 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 13 AY080516 墌 A y⫽ C B C D 14 AY090301 墌 y⫽ y⫽ y⫽ x G x H x J x AY090105 墌 C AY090509 1 x⫹1 2 5 ⫺3 3 4 ⫺3 4 ⫽ ⫽ ⫽ ⫽ 1, 2, 3, 4, Length B Length C Length D Length ⫽ ⫽ ⫽ ⫽ -5 -4 -3 -2 -1 O -1 -2 -3 -4 -5 in., in., in., in., 1 2 3 4 5 x Which is most likely the solution to the system of equations shown? 3 2 1墍 0 22 25 28 22 AY090509.AR1 1 (0, 5) G (1, 0) H (3, ⫺2) J (⫺2, 3) 墍 F A rectangle has a perimeter of 68 inches. Its length is 2 inches less than 3 times its width. What are the length and width of the rectangle? A ArtCodes 2 x⫹7 ⫽ ⫽ ⫽ ⫽ C 4 x⫺5墍 y y y y 墍 y Which is the solution to the system of equations shown? F This is a graph of a system of equations. 3 x⫹7 4 再 xx ⴐⴑ yy ⴔⴔ 42 C 15 16 The equation of the line that contains the points (ⴑ8, 1) and (0, ⴑ5) is — width width width width ⫽ ⫽ ⫽ ⫽ 2x2 ⴑ 3x ⴐ 1 ⴔ 0 17 Which is the solution set for the equation above? 12 in. 9 in. 墍 10 in. 8 in. A B C D 2003 Commonwealth of Virginia Department of Education 6 {⫺2, ⫺1} 再 冎 再 冎 ⫺ ⫺1, 1 2 1 ,1 墍 2 {1, 2} AY140404 墍 C L SESSION: 19 PAGE: 7 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 x2 ⴑ 4 ⴔ 0 18 AY140402 墌 C 19 22 Consider the following models. Which is the solution set for the equation above? = x2 {⫺4, 1} G {⫺2, 2} 墍 H {⫺1, 4} J {0, 4} =x =1 AY110617 墍 C F = –x = –x2 = –1 ArtCodes AY110617.AR1 What polynomial is represented by the following? What is the value of 3x2 ⴑ y2 if x ⴔ ⴑ1 and y ⴔ 3? ArtCodes AY020411 墌 C L 20 AY020408 墌 C 12 B ⫺3 C ⫺6 墍 D ⫺12 A 3x2 2 G 3x 2 H 3x 2 J 3x F Which expression correctly represents $10 less than twice the cost, c? F 10 ⫺ 2c G 10 ⫺ 2 ⫹ c H 2c ⫺ 10 墍 J 23 ⫺ ⫺ ⫹ ⫹ AY110617.AR2 x⫺5墍 7x ⫺ 5 7x ⫺ 5 x⫺5 Consider the following models. = x2 =x =1 AY110420 墍 C Which expression represents the area of the diagram below? c ⫺ 10 2 ArtCodes AY110420.AR1 x+4 x+1 ArtCodes AY110420.AR2 5 2 8 21 AY100516 墌 Which is equivalent to A x2z8 y B x12y8z8 xyz ? (xy)ⴑ3 x2 ⫹ 5x ⫹ 4 墍 B 2x ⫹ 5 C 4x ⫹ 10 2 D x ⫹ 4 A C C D ⫺x4yz8 3 x8y5z8 墍 2003 Commonwealth of Virginia Department of Education 7 SESSION: 19 PAGE: 8 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 24 AY100409 墌 C L 7.6 G 7.6 H 8.0 J 8.0 F 25 AY110405 墌 C L 26 28 The continent of North America has an area of approximately 9.4 ⴒ 106 square miles. The area of Asia is approximately 1.74 ⴒ 107 square miles. How many square miles larger is Asia than North America? ⫻ ⫻ ⫻ ⫻ 2x2 ⴐ 5x ⴐ 2. 101 ⫺ 10 1 106 墍 101 (2x G (2x H (2x J (2x F Which expression is equivalent to (9x ⴐ 1)(9x ⴑ 1)? 29 C 27 AY120301 墌 C 墍 C 18x 2 B 81x ⫺ 1 墍 2 C 18x ⫺ 1 2 D 81x ⫺ 18x ⫺ 1 ⫹ ⫹ ⫹ ⫹ 2)(x 3)(x 1)(x 1)(x ⫹ ⫹ ⫹ ⫹ 1) 2) 4) 2) 墍 Which is closest to the value of x if x ⴔ 2公7? A 3.2 B 3.7 C 5.3 墍 D 9.9 A What is one of the factors of x2 ⴑ 2x ⴑ 15? 墌 AY120514 Which is an equivalent expression for this area? 30 AY120512 The area of a rectangle is represented by the expression 墍 C L 公3.2 2 to the nearest tenth? (x ⫺ 3) G (x ⫺ 5) 墍 H (x ⫹ 1) J (x ⫹ 15) F 0.7 G 0.9 墍 H 1.3 J 1.5 F When completely factored, 4 ⴑ 16x ⴐ 28y equals — 4(1 ⫺ 4x ⫹ 7y) 墍 B 4(1 ⫺ 4x) ⫹ 28y C (4 ⫺ 7y)(1 ⫹ 4x) D 4 ⫺ 4(4x ⫺ 7y) A 2003 Commonwealth of Virginia Department of Education What is the value of AY130104 8 AY130516 墍 C SESSION: 19 PAGE: 9 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 31 33 The numbers in this table follow a linear pattern. AY050610 墌 p 3 2 1 0 1 2 C ArtCodes AY050610.AR1 Loki said the following graph does not represent a function of x. AY150632 墍 y w 14 11 ? 5 2 1 C 7 6 ArtCodes 5 AY150632.AR1 4 3 2 1 - 7 -6 - 5 -4 - 3 -2 - 1 O -1 -2 What is the missing value? 7 B 8 墍 C 9 D 10 A 1 2 3 4 5 6 7 -3 -4 -5 -6 -7 32 Which pair of points could Loki use to prove that her statement is correct? Which of these data sets represents a function? (⫺3, B (⫺4, C (⫺3, D (⫺5, A AY050571 墌 C L F ArtCodes AY050571.AR1 AY050571.AR2 AY050571.AR3 AY050571.AR4 G H J 墍 2003 Commonwealth of Virginia Department of Education 9 4) 3) 4) 0) and and and and (⫺3,⫺4) 墍 (4, 3) (4,⫺3) (5, 0) x SESSION: 19 PAGE: 10 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 y 34 36 ⫺5 G ⫺1 H 5.5 J 11 墍 9 F 8 AY150411 墌 7 6 C L 5 4 ArtCodes AY150411.AR1 If f(x) ⴔ ⴑ2x ⴐ 3, what is f(ⴑ4)? AY160401 墍 C 3 2 1 –2 –1 0 1 2 3 4 5 6 7 8 x 9 –1 37 –2 –3 What is the apparent range of the function of x shown? The set of all real or equal to 4 G The set of all real or equal to 1 墍 H The set of all real equal to 1 J The set of all real F The chart shows how the wholesale price of an item, p, depends on the cost of the materials needed to produce the item, m. Which equation represents AY050201 this linear relationship? 墍 C L numbers greater than m $0.50 $1.00 $1.50 $2.00 numbers greater than p $4.00 $5.00 $6.00 $7.00 ArtCodes numbers less than or AY050201.AR1 p B p C p D p A numbers ⫽ ⫽ ⫽ ⫽ m ⫹ 3.5 2m ⫹ 3 墍 3m ⫹ 2.5 4m ⫹ 2 y 35 5 AY050305 4 C 3 墌 38 2 ArtCodes F {⫺1, 2} G {⫺1, 0, 1} H {1, 2, 4} J {⫺4, ⫺1, 2} 墍 1 AY050305.AR1 -5 -4 -3 -2 -1 O -1 -2 -3 -4 -5 1 2 3 4 5 x Which equation best describes this graph? y B y C y D y A ⫽ ⫽ ⫽ ⫽ ⫺x 2x ⫹ 2 x⫺2 x⫹2墍 2003 Commonwealth of Virginia Department of Education What is the range of the function f(x) ⴔ 3x ⴑ 1 when the domain is {ⴑ1, 0, 1}? 10 AY160201 墍 C SESSION: 19 PAGE: 11 5/8/103 16:17 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 39 41 Which of the following does not represent a function of x? AY150514 墌 C A x 1 1 1 1 y 1 2 3 4 B x 1 2 3 4 y 1 1 1 1 ArtCodes AY150514.AR1 AY150514.AR2 AY150514.AR3 AY150514.AR4 C D 墍 x 1 2 3 4 y 2 2 4 5 x 0 2 5 3 y 7 3 0 2 42 40 Which is a zero of the function f(x) ⴔ x2 ⴐ 6x ⴑ 7? AY160626 墌 C ⫺7 墍 G ⫺6 H 7 J 41 F 2003 Commonwealth of Virginia Department of Education Jill was looking at a picture of herself and 3 friends. She measured the height of her image as 10 centimeters. If Jill is actually 60 inches tall, which equation can she use to find h, the actual height in inches, of one of her friends who is c centimeters tall in the picture? A h ⫽ 10c B h ⫽ 6c 墍 C h⫽ 5 c 3 D h⫽ 1 c 6 The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50ⴗF, what is the pressure in the chamber when the temperature of the chamber is 75ⴗF? 175 G 200 H 225 J 275 F 11 atm atm atm 墍 atm AY190647 墍 C AY190101 墍 C L SESSION: 19 PAGE: 12 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 冋 册 冋 43 3 7 4 6 ⴑ ⴑ8 2 6 ⴑ2 册 44 The number of car sales for May 2000 at Auto One are: is equal to which matrix? AY040104 墌 A C B C D 冋 册 冋 册 冋 册 冋 册 0 ⫺2 11 ⫺2 5 Bob 4 Carol 5 8 12 24 ⫺12 ⫺5 2 4 Bob F Carol Blanca Bob G Carol Blanca Bob H Carol Blanca Bob J Carol Blanca 2003 Commonwealth of Virginia Department of Education AY040520 墍 Luxury 6 7 13 1 12 10 8 C L 冥 If the sales people get a $200 commission on any car they sell, which matrix shows the amount in commissions each earns? 墍 ⫺9 6 Blanca 冤 Compacts 14 Sport UV 8 12 冤 冤 冤 冤 Sport Compacts UV 2,800 1,600 Luxury 1,200 1,400 2,600 200 2,400 2,000 1,600 Sport Compacts UV 214 208 Luxury 206 207 213 211 212 210 208 Sport Compacts UV 186 192 冥 Luxury 194 193 187 199 188 190 192 Sport Compacts UV 1,600 1,000 冥 冥 Luxury 800 900 1,500 300 1,400 1,200 1,000 冥 墍 SESSION: 19 PAGE: 13 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 冤 冥 0 45 Dⴔ 1 2 ⴑ3 5 4 47 ⴑ2D ⴔ ? AY040512 墌 C A B C D 46 冤 0 ⫺2 ⫺10 ⫺4 冥 0 ⫺1 ⫺5 3 2 ⫺2 ⫺2 ⫺4 ⫺10 ⫺8 14 B 15 C 16 墍 D 17 A 冥 冤 冥 0 ⫺2 2 ⫺10 8 8 2,4,4,4,5,7,8 2,4,6 1 What was the median number of millimeters of growth? 6 Barry’s daily grades for one grading period are shown below. 墌 94, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 85 C What was the mode of his daily grades? AY180515 0 1 2 3 冤 冥 6 93 G 92 墍 H 91 J 90 F 2003 Commonwealth of Virginia Department of Education AY180306 墍 C L Millimeters Growth 6 墍 ⫺8 ⫺2 冤 The stem-and-leaf plot shows the results of a science experiment in which 12 plants were each given a different combination of water and nutrients over a period of time and their growth in millimeters measured. 13 ArtCodes AY180306.AR1 SESSION: 19 PAGE: 14 5/8/103 16:18 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 48 AY170404 墌 Connie made a scatterplot comparing the shoulder heights of her friends’ dogs to their weights. Connie’s dog stands 28 inches to his shoulder. 49 Scott made a box-and-whisker graph of the soccer goals made by the players in his district. AY180407 4 C 6 8 10 12 14 16 18 20 22 24 26 28 墍 C 70 65 ArtCodes 55 AY180407.AR1 What is the range of the goals made by the players? 50 Weight (lbs) ArtCodes AY170404.AR1 60 45 40 24 B 18 墍 C 6 D 4 A 35 30 25 20 15 10 5 0 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Height (inches) 50 Using a line of best fit for the plot, which is the best prediction for her dog’s weight? 40 G 55 H 65 J 70 F AY170209 墍 C L pounds pounds 墍 pounds pounds ArtCodes AY170209.AR1 Which equation best represents the data shown in the scatterplot? 2003 Commonwealth of Virginia Department of Education 14 F y ⫽ 2x ⫺ 2 G y ⫽ H y ⫽ 2x ⫹ 2 墍 J y ⫽ x⫺1 x ⫺2 2 SESSION: 19 PAGE: 15 5/8/103 16:15 LOGIN IS-debbie PATH: @sunultra1/raid/CLS_tpc/GRP_virginia/JOB_03-olptg11/DIV_g11alg1-1 Answer Key Test Sequence Correct Answer Reporting Category Reporting Category Description 1 D 003 Equations and Inequalities 2 H 003 Equations and Inequalities 3 B 003 Equations and Inequalities 4 F 003 Equations and Inequalities 5 C 003 Equations and Inequalities 6 G 003 Equations and Inequalities 7 A 003 Equations and Inequalities 8 H 003 Equations and Inequalities 9 D 003 Equations and Inequalities 10 G 003 Equations and Inequalities 11 A 003 Equations and Inequalities 12 G 003 Equations and Inequalities 13 C 003 Equations and Inequalities 14 H 003 Equations and Inequalities 15 B 003 Equations and Inequalities 16 J 003 Equations and Inequalities 17 C 003 Equations and Inequalities 18 G 003 Equations and Inequalities 19 C 001 Expressions and Operations 20 H 001 Expressions and Operations 21 D 001 Expressions and Operations 22 F 001 Expressions and Operations 23 A 001 Expressions and Operations 24 H 001 Expressions and Operations 25 B 001 Expressions and Operations 26 G 001 Expressions and Operations 27 A 001 Expressions and Operations 28 J 001 Expressions and Operations 29 C 001 Expressions and Operations 30 G 001 Expressions and Operations 31 B 002 Relations and Functions 32 J 002 Relations and Functions 33 A 002 Relations and Functions 34 G 002 Relations and Functions 35 D 002 Relations and Functions 36 J 002 Relations and Functions 37 B 002 Relations and Functions 38 J 002 Relations and Functions 39 A 002 Relations and Functions 40 F 002 Relations and Functions 41 B 002 Relations and Functions 42 H 002 Relations and Functions 43 B 004 Statistics 44 F 004 Statistics 45 A 004 Statistics 46 G 004 Statistics 47 C 004 Statistics 48 G 004 Statistics 49 B 004 Statistics 50 H 004 Statistics