SESSION: 38 PAGE: 1 4/20/102 8:53 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 VIRGINIA STANDARDS OF LEARNING ASSESSMENTS Spring 2002 Released Test END OF COURSE ALGEBRA II SESSION: 38 PAGE: 2 4/20/102 8:53 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 Property of the Virginia Department of Education 䉷 2002 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: 41 PAGE: 3 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 Algebra II 3 DIRECTIONS Read and solve each question. Then mark the space on the answer sheet for the best answer. For which of the following operations is the commutative property not valid? Multiplication B Multiplication C Multiplication D Multiplication A SAMPLE of of of of JY010201 real numbers 墍 complex numbers C matrices 墍 negative real numbers What is the next term in the arithmetic sequence 2, 5, 8, 11, ...? 3 B 13 C 14 墍 D 17 A 1 JY020207 墌 C 2 JY010206 墌 4 Which is equivalent to What is the sum of the polynomials (4q4 ⴐ 3q2 ⴐ 8q) and (5q3 ⴑ 2q2 ⴑ q)? ⫺q4 ⫹ q2 ⫹ 7q 4 3 2 B 4q ⫹ 5q ⫹ q ⫹ 7q 墍 4 2 C 4q ⫹ q ⫹ 7q 7 6 D 15q ⫹ 2q A 5 Which of the following equations is an example of the commutative property? F ⫺9 G x2⫺ 9x (x ⫹ 7)2 H x 墍 x⫺9 J ⫺1 9 C L (2x2 ⫹ 4x) ⫹ 6 ⫽ 2x2 ⫹ (4x ⫹ 6) H 3(2x2 ⫹ 4x) ⫽ 6x2 ⫹ 12x J (2x2 ⫹ 4x) 冉 1 2x ⫹ 4x 2 冊 ⫽ 1 2002 Commonwealth of Virginia Department of Education 墍 C 3 2x2 ⫹ 4x ⫽ 4x ⫹ 2x2 墍 G JY020414 3 Which expression is equivalent to 公a2 ? A a2 B a3 墍 2 F x xⴐ7 ? xⴑ9 xⴐ7 3 1 6 C a D a6 JY03B202 墍 C SESSION: 41 PAGE: 4 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 6 3 Which is equivalent to 公8x6 ? 11 2 G 2x 2 H 2x 墍 3 J 2x F JY03A113 墌 C L Which best represents the graph of y ⴔ x2 ⴑ 2x ⴐ 3? JY080412 墍 y C 5 4 3 2 A 1 –5 –4 –3 –2 –1 0 x 墍 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 x 1 2 3 4 5 x –1 –2 –3 7 Which is a factored form of 8x ⴐ 1? 3 (2x B (2x C (2x D (2x A JY050105 墌 C ⫺ ⫺ ⫹ ⫹ 2 1)(4x 1)(4x2 1)(4x2 1)(4x2 ⫺ ⫹ ⫺ ⫹ 2x 2x 2x 2x ⫹ ⫺ ⫹ ⫺ –4 –5 1) 1) 1) 墍 1) y 5 4 3 2 B 1 –5 –4 –3 –2 –1 0 x –1 8 –2 Which is a factor of 16x2 ⴑ 1? –3 –4 (x ⫺ 1) G (4x ⫹ 1) 墍 H (8x ⫺ 1) J 4x –5 F JY050302 墌 C y 5 4 3 2 C 9 1 –5 –4 –3 –2 –1 Which is equivalent to (4 ⴑ 3i)2? 0 –1 –2 –3 25 B 25 ⫺ 2i C 7 D 7 ⫺ 24i 墍 A JY170407 墌 C –4 –5 y 5 4 3 2 10 D 4 What number does i equal? 墌 C L –2 i G ⫺1 H ⫺i J 1 墍 2002 Commonwealth of Virginia Department of Education 0 –1 F JY170104 1 –5 –4 –3 –2 –1 –3 –4 –5 4 ArtCodes JY080412.AR1 JY080412.AR2 JY080412.AR3 JY080412.AR4 SESSION: 41 PAGE: 5 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 y 12 13 The graph below is an example of which type of function? 5 JY080414 墌 JY080211 墍 4 C C 3 ArtCodes 2 JY080414.AR1 ArtCodes 1 –5 –4 –3 –2 –1 0 JY080211.AR1 1 2 3 4 5 x –1 –2 –3 –4 –5 Absolute value 墍 B Exponential C Linear D Quadratic A Which most likely represents the equation of the graph above? F y ⫽ 公4 ⫺ x G y ⫽ ⫺公4 ⫺ x 墍 H y ⫽ ⫺公4 ⫹ x J y ⫽ 公4 ⫹ x 14 If f(x) ⴔ 5x2 ⴑ 7, what is f(ⴑ3)? ⫺52 G ⫺22 H 38 墍 J 45 F 15 1 B ⫺1 C 3 墍 D ⫺3 5 墍 C L Which value is not a zero of P(x) ⴔ x3 ⴐ 3x2 ⴑ x ⴑ 3? A 2002 Commonwealth of Virginia Department of Education JY090202 JY150201 墍 C SESSION: 41 PAGE: 6 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 16 17 Which graph could represent a polynomial function with no real zeros? JY150206 墌 C The amount of interest (I) owed on a loan varies directly with the length of time (t) of the loan. If k is the constant JY200106 of proportionality, which formula 墍 represents this relationship? C A I ⫽ kt 墍 B I⫽ C t ⫽ kI D t⫽ ArtCodes JY150206.AR1 JY150206.AR2 JY150206.AR3 JY150206.AR4 F G k t k2 I 墍 18 Boyle’s Law states that, for a fixed amount of gas, the volume of the gas at a constant temperature is inversely JY200408 proportional to the pressure. If a 墍 certain gas occupies 9.84 liters at a C pressure of 50 centimeters of mercury (cm Hg), what is the approximate pressure when the volume is increased to 12 liters? 39.8 G 41.0 H 43.2 J 45.1 F H 19 J {2, B {1, C {3, D {1, 6 cm cm cm cm Hg Hg 墍 Hg Hg Which of the following sets represents an arithmetic sequence? A 2002 Commonwealth of Virginia Department of Education L 11, 20, 29, 38, ⴢⴢⴢ} 墍 3, 9, 27, 81, ⴢⴢⴢ} ⫺5, 7, ⫺9, 11, ⴢⴢⴢ} 16, 36, 64, 100, ⴢⴢⴢ} JY160418 墍 C SESSION: 41 PAGE: 7 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 20 If an ⴔ 6 ⴐ (n ⴑ 1)5, then a7 ⴔ 22 31 G 36 墍 H 40 J 42 F JY160307 墌 C 21 x G x H x J x F Given: 23 f(x) ⴔ 公x2 ⴑ 1 JY090402 墌 C L g(x) ⴔ x Which of the following expressions represents g(f(x))? x2公x2 ⫺ 1 B x C 公x4 ⫺ 1 D x2 ⫺ 1 墍 2002 Commonwealth of Virginia Department of Education 7 ⫽ ⫽ ⫽ ⫽ 7 0 ⫺7 ⫺7 or x ⫽ 7 墍 JY040111 墍 C What is the solution to 公x ⴐ 16 ⴔ 3公x? x⫽ 1 2 B x⫽ 8 5 C x⫽2墍 D x⫽8 A 2 A Which of the following represents the solution to ⱍ x ⱍ ⴔ 7? JY070107 墍 C L SESSION: 41 PAGE: 8 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 24 27 –5 –4 –3 –2 –1 0 1 2 3 4 5 JY040204 墌 C ArtCodes JY040204.AR1 Which inequality describes the solution set graphed above? JY060107 6x 2 B 6x 2 C 6x 2 D 6x |x ⫺ 3| ⬎ 1 G |2x ⫺ 5| ⬍ 3 H |4x ⫺ 9| ⱖ 2 墍 J |5x ⫺ 13| ⱕ 5 F 墌 C L What are the solutions to y2 ⴑ 4y ⴐ 4 ⴔ 36? y B y C y D y A ⫽ ⫽ ⫽ ⫽ F ⫺4 or y ⫽ 8 墍 4 or y ⫽ 8i ⫹ ⫺4 ⫹ ⫺4i JY060513 墌 C ⫺ ⫹ ⫹ ⫺ 7x 7x 7x 7x ⫺ ⫹ ⫺ ⫹ 2 2 2 2 ⫽ ⫽ ⫽ ⫽ 0 0 0 0墍 JY060524 墍 C What is the solution set for 5x2 ⴐ 4x ⴔ 1? G H J 26 2 A 28 25 Which quadratic equation has 2 1 solutions x ⴔ and x ⴔ ? 2 3 再 再 再 再 冎 冎 冎 冎 ⫺ ⫺1, 1 5 ⫺1, 1 5 JY060529 墍 C 墍 ⫺1 ,1 5 1 ,1 5 What is the solution set for (x ⴐ 1)2 ⴑ 9 ⴔ 0? {⫺4, 2} 墍 G {⫺3, ⫺1} H {2, 4} J {⫺1, 3} F 2002 Commonwealth of Virginia Department of Education 29 What is the solution set for 公x ⴑ 4 ⴔ 5? {21} B {25} C {29} 墍 D {33} A 8 JY070106 墍 C SESSION: 41 PAGE: 9 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 30 JY070214 墌 C 31 JY040307 墌 C L 32 What value of q is the solution to the 6qⴐ2 7q ⴑ 9 ⴔ ? equation 6 4 JY100205 墍 ⫺ 11 F q⫽ G q ⫽ ⫺6 墍 H q⫽ J q ⫽ 48 C L 8 ArtCodes JY100205.AR1 31 9 What is the solution to ⱍ 2x ⴑ 3 ⱍ ⬍ 4? A B ⫺1 2 ⫺7 2 C x⬎ D x⫽ ⬍x⬍ 7 墍 2 ⬍x⬍ 7 2 ⫺1 2 ⫺1 2 The polynomial function shown apparently has zeros at — ⫺1 and 2 G ⫺1, 0.7, and 3 墍 H ⫺2 J 1, ⫺0.7, and ⫺3 F or x ⬍ 7 2 or x ⫽ 7 2 33 Which of the following functions has x-intercepts at ⴑ2 and 1? y B y C y D y A 2002 Commonwealth of Virginia Department of Education 9 ⫽ ⫽ ⫽ ⫽ x2 ⫺ x ⫺ 2 x2 ⫹ x ⫺ 2 墍 x2 ⫺ 2x ⫹ 1 2x ⫺ 1 JY100303 墍 C SESSION: 41 PAGE: 10 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 34 ƒ(x) ⴔ x3 ⴐ 4x2 ⴐ x ⴑ 6 is graphed below. y 35 f(x) JY100575 墌 5 9 C 8 JY180306 4 墍 3 C L 7 ArtCodes ArtCodes 2 6 JY100575.AR1 JY180306.AR1 5 1 4 –5 3 –4 –3 –2 –1 2 O 1 2 3 4 5 –1 1 -5 -4 -3 -2 -1 0 1 2 3 4 5 x –2 -1 –3 -2 -3 –4 -4 –5 -5 -6 -7 -8 Which equation is most likely represented by the ellipse shown? -9 Which is the factored form of ƒ(x)? A y x ⫹ ⫽1 16 4 ƒ(x) ⫽ (x ⫺ 3)(x ⫺ 2)(x ⫹ 1) G ƒ(x) ⫽ x(2x ⫹ 5)(x ⫺ 1) H ƒ(x) ⫽ x(x ⫹ 3)(x ⫹ 2) J ƒ(x) ⫽ (x ⫺ 1)(x ⫹ 2)(x ⫹ 3) 墍 B y2 x2 ⫹ ⫽1 4 2 C y2 x2 ⫹ ⫽1 4 16 D y2 x2 ⫹ ⫽1墍 16 4 F 2002 Commonwealth of Virginia Department of Education 10 x SESSION: 41 PAGE: 11 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 36 JY180303 墌 37 When graphed, which of the following equations would produce a parabola? F (y ⫺ 2)(x ⫺ 4) ⫽ C Which graph best represents (x ⴑ 2)2 ⴐ (y ⴑ 3)2 ⴔ 4? 1 4 JY180415 墍 y C 5 G (y ⫺ 4) ⫽ 1 (x ⫺ 2)2 墍 4 4 3 2 A 1 H (y ⫺ 4) ⫽ (x ⫺ 2) 4 J (y ⫺ 4)2 ⫽ ArtCodes 1 –5 –4 –3 –2 –1 0 –1 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 x –2 –3 –4 1 (x ⫺ 2)2 4 –5 y 5 4 3 2 B 1 –5 –4 –3 –2 –1 0 –1 x 墍 –2 –3 –4 –5 y 5 4 3 2 C 1 –5 –4 –3 –2 –1 0 –1 –2 x –3 –4 –5 y 5 4 3 2 D 1 –5 –4 –3 –2 –1 0 –1 –2 –3 –4 –5 2002 Commonwealth of Virginia Department of Education 11 x JY180415.AR1 JY180415.AR2 JY180415.AR3 JY180415.AR4 SESSION: 41 PAGE: 12 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 38 0 2 ⴑ1 Aⴔ 3 0 ⴑ2 4 ⴑ3 冤 冤 1 JY110511 墌 C Bⴔ 1 ⴑ2 2 ⴑ3 0 2 冥 1 3 ⴑ1 40 再 ⫺x ⴐ 2y ⴑ 5z ⴔ ⴑ12 2x ⴑ 3y ⴐ 7z ⴔ 19 ⴑ5x ⴑ 2y ⴐ z ⴔ ⴑ10 Given the system of equations above, 冋册 冥 x y ⴔ? z F G H J 冤 5 ⫺2 0 0 0 7 ⫺4 0 冥 F 冤 0 3 5 ⫺2 ⫺4 冤 0 ⫺4 ⫺1 6 ⫺3 0 ⫺4 12 7 ⫺2 7 ⫺9 2 6 ⫺8 ⫺1 ⫺2 冤 冤冥 3 ⫺2 墍 1 ⫺5 ⫺12 ⫺11 墍 14 3 冥 ⫺12 G 冤 冥 19 10 冥 H 冥 冤 1.1 0.8 ⫺3.7 ⫺1.9 ⫺2.6 ⫺1.2 冤 冥 0 J ⫺11 32 39 JY110410 墌 C L Which matrix is the multiplicative 7 16 ? inverse of 4 9 A B C D 冋 冋 冋 冋 冋 册 册 册 册 册 ⫺9 4 4 7 ⫺9 16 4 ⫺7 9 16 4 7 ⫺9 16 4 7 墍 2002 Commonwealth of Virginia Department of Education 12 墍 C Which matrix is the product of B ⴢ A? 1 JY120405 ⫺0.1 ⫺0.3 ⫺0.1 冥 SESSION: 41 PAGE: 13 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 41 JY120586 墌 再 9x ⴑ 5y ⴔ 12 y 42 8x ⴐ 3y ⴔ 22 Which matrix equation represents the given system of linear equations? C A B C D 冋 冋 冋 冋 9 ⫺5 9 ⫺5 8 3 8 3 9 ⫺5 8 3 9 ⫺5 8 3 y [x [x x y ⫽ 12 7 22 6 y] ⫽ ⫽ 12 4 22 3 22 ArtCodes JY130405.AR1 2 C 1 22 12 D 1 2 3 4 5 6 7 8 9 x The graph of the linear programming model consists of polygon ABCD and its interior. Under these constraints, which is the point where the maximum value of 4x ⴐ 3y occurs? 墍 A G B 墍 H C J D F 2002 Commonwealth of Virginia Department of Education C A 5 12 y] ⫽ 墍 B 8 册冋 册 冋 册 册 冋册 册 冋册 册冋 册 冋 册 x JY130405 9 13 SESSION: 41 PAGE: 14 4/23/102 13:6 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 y 43 y 44 9 8 7 6 5 4 3 2 1 JY130102 墌 C L ArtCodes JY130102.AR1 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 –1 5 4 3 JY140403 1 2 3 4 5 6 7 8 9 x –5 –4 –3 –2 –1 –2 –5 –8 D 冦 yⱖ6⫺x xⱖ1 y ⱖ ⫺2 3 4 5 x ArtCodes JY140403.AR1 {(⫺2.1, ⫺3.4), (2, 3)} G {(⫺3, 2), (⫺2.1, 3.4)} H {(⫺2, ⫺3), (3, 2)} 墍 J {(2.1, ⫺3.4), (3, 2)} F x⫹yⱕ6 x ⱖ ⫺2 墍 yⱖ1 2002 Commonwealth of Virginia Department of Education 2 This is a portion of the graph of a system of equations. Which is most likely the solution set for the system? Which set of constraints produced the shaded feasible region? x⫹yⱕ8 x⫺yⱕ6 x ⱖ ⫺2 yⱖ1 1 –5 –9 C 0 –4 –7 xⱖ6⫺y xⱖ1 yⱕ2 C L –3 –6 B 1 –2 –4 再 再 再 墍 –1 –3 A 2 45 再 yⴔxⴐ1 y ⴔ (x ⴐ 3)2 ⴑ 4 Which is the solution set for the system of equations above? {(⫺6.4, 7.4), (⫺0.6, 1.6)} B {(⫺4, ⫺3), (⫺2, ⫺3)} C {(⫺4, ⫺3), (⫺1, 0)} 墍 D {(0.6, 1.6), (6.4, 7.4)} A 14 JY140576 墍 C SESSION: 41 PAGE: 15 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 46 Which of the following scatterplots shows a negative correlation? JY190410 墌 47 y C $53,100 B $48,200 C $56,900 墍 D $58,800 A ArtCodes JY190410.AR1 JY190410.AR2 JY190410.AR3 JY190410.AR4 The Social Security (FICA) wage base, y, (in thousands of dollars) from 1983 to 1988 is given by the equation y ⴔ 1.9x ⴐ 34.1, where x is the number JY190506 墍 of years since 1983. What was the FICA C wage base in 1995? F x y 48 G A clothing manufacturer is funding a study to determine the amount spent annually on clothes, given a family’s income. This table contains data tracking the clothing purchases for seven families. x Annual Income y 墍 H x 34,400 28,700 5,000 3,900 34,600 4,700 31,500 4,500 27,700 4,200 4,400 G 4,600 墍 H 4,800 J 5,000 F J x 2002 Commonwealth of Virginia Department of Education 29,600 Assuming a linear relationship, approximately how much would you expect a family with an annual income of $33,000 to spend on clothes? y 15 墍 C Annual Clothes Expenditure $3,800 4,200 $25,100 JY190545 ArtCodes JY190545.AR1 SESSION: 42 PAGE: 16 4/23/102 13:50 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 49 y 50 Consider this scatter plot. y JY190575 墌 9 C 8 6 墍 C L 7 ArtCodes JY190575.AR1 JY190405 5 ArtCodes JY190405.AR1 6 5 4 4 3 3 2 2 1 0 0 1 0 1 2 3 4 5 6 x F ⫺3 G ⫺1 墍 x⫹1 H ⫺ x⫹3墍 J 1 1 x⫹3 2 y⫽ B y⫽ C y⫽ D y⫽x ⫺1 2 ⫺1 3 2 2002 Commonwealth of Virginia Department of Education 3 4 5 6 7 8 9 x Which is closest to the value of the slope of the line of best fit of the data in this scatterplot? Which equation represents the line closest to the curve of best fit? A 1 16 1 3 SESSION: 41 PAGE: 17 4/23/102 13:4 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g11/DIV_g11alg2-1 Answer Key Test Sequence Correct Answer Reporting Category 1 B 001 Expressions and Operations 2 F 001 Expressions and Operations 3 C 001 Expressions and Operations 4 H 001 Expressions and Operations 5 B 001 Expressions and Operations 6 H 001 Expressions and Operations 7 C 001 Expressions and Operations 8 G 001 Expressions and Operations 9 D 001 Expressions and Operations 10 J 001 Expressions and Operations 11 A 002 Relations and Functions 12 G 002 Relations and Functions 13 A 002 Relations and Functions 14 H 002 Relations and Functions 15 C 002 Relations and Functions 16 G 002 Relations and Functions 17 A 002 Relations and Functions 18 G 002 Relations and Functions 19 A 002 Relations and Functions 20 G 002 Relations and Functions 21 D 002 Relations and Functions 22 J 003 Equations and Inequalities 23 C 003 Equations and Inequalities 24 H 003 Equations and Inequalities 25 A 003 Equations and Inequalities 26 F 003 Equations and Inequalities 27 D 003 Equations and Inequalities 28 G 003 Equations and Inequalities 29 C 003 Equations and Inequalities 30 G 003 Equations and Inequalities 31 A 003 Equations and Inequalities 32 G 004 Analytical Geometry 33 B 004 Analytical Geometry 34 J 004 Analytical Geometry 35 D 004 Analytical Geometry 36 G 004 Analytical Geometry 37 B 004 Analytical Geometry 38 G 005 Systems of Equations/Inequalities 39 B 005 Systems of Equations/Inequalities 40 F 005 Systems of Equations/Inequalities 41 D 005 Systems of Equations/Inequalities 42 G 005 Systems of Equations/Inequalities 43 B 005 Systems of Equations/Inequalities 44 H 005 Systems of Equations/Inequalities 45 C 005 Systems of Equations/Inequalities 46 H 006 Statistical Analysis 47 C 006 Statistical Analysis 48 G 006 Statistical Analysis 49 C 006 Statistical Analysis 50 G 006 Statistical Analysis Reporting Category Description