GLENCOE MATHEMATICS Teacher’s Annotated Edition Consultant Thomas L. Harrell Mathematics Department Chairperson G.W. Carver Senior High School Montgomery, AL Test-Taking Tips • Go to bed early the night before the test. You will think more clearly after a good night’s rest. • Read each problem carefully and think about ways to solve the problem before you try to answer the question. • Relax. Most people get nervous when taking a test. It’s natural. Just do your best. • Answer questions you are sure about first. If you do not know the answer to a question, skip it and go back to that question later. • Think positively. Some problems may seem hard to you, but you may be able to figure out what to do if you read each question carefully. • If no figure is provided, draw one. If one is furnished, mark it up to help you solve the problem. • When you have finished each problem, reread it to make sure your answer is reasonable. • Become familiar with a variety of formulas and when they should be used. • Make sure that the number of the question on the answer sheet matches the number of the question on which you are working in your test booklet. Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240-4027 ISBN: 0-07-860400-1 AHSGE Practice and Sample Test Workbook TAE Printed in the United States of America. 2 3 4 5 6 7 8 9 10 066 12 11 10 09 08 07 06 05 04 03 Table of Contents Overview. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Class Recording Chart. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi Standards and Objectives Tested on AHSGE Correlated to Glencoe Algebra 1, Algebra: Concepts and Applications, Geometry: Concepts and Applications, Glencoe Geometry, and Glencoe Algebra 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . viii Reference Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiv Test Practice Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Copyright © Glencoe/McGraw-Hill Standards Practice I-1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 I-2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 I-3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 I-4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 II-1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 II-2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 II-3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 II-4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 III-1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 III-2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 IV-1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 IV-2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 V-1 and V-4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 V-2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 V-3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 VI-1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 VII-1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 VII-2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 VII-3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 VII-4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 VII-5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 VII-6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 VII-7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 VII-8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 Test Practice Sample Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 AHSGE Practice and Sample Test Workbook iii Overview The material in this booklet is designed to help your students prepare for the Alabama High School Graduation Examination (AHSGE). It contains: • a Class Recording Chart, • a correlation between the standards and objectives tested on the AHSGE and Glencoe Algebra 1, • a Diagnostic Test, • practice for each standard and objective, and • a Sample Test. How to Use This Workbook Diagnostic Test Administer the Diagnostic Test to your students. Once they have been graded, you may want your students to complete the Student Recording Chart that is found on page v in the Student Workbook. Students should mark an X in the square for each question that they answered incorrectly. Individual Practice You can use each student’s chart to determine where extra practice is needed. Assign each student the appropriate Standards Practice worksheet(s) from pages 28 to 87 in the Student Workbook. Copyright © Glencoe/McGraw-Hill Class Practice Using the Student Recording Charts, complete the Class Recording Chart that is found on pages vi and vii of this booklet. Use the Class Recording Chart to determine which standards need to be practiced by most of the students. Assign the appropriate Standards Practice worksheet(s) from pages 28 to 87 in the Student Workbook to the class. Sample Test After the students have completed their Standards Practice worksheet(s), administer the Sample Test found on pages 88 to 114 in the Student Workbook. Pacing It should take about 2 class periods each to administer the Diagnostic Test and Sample Test. AHSGE Practice and Sample Test Workbook v vi AHSGE Practice and Sample Test Workbook I-4 II-2 II-3 II-4 II-1 I-3 I-1 I-2 Solve Equations and Inequalities III-1 III-2 Functions IV-1 Copyright © Glencoe/McGraw-Hill IV-2 Applying Formulas Place an X in the appropriate box to indicate that a student needs additional practice with the objective. Use the columns to determine which standards need to be practiced by most of the class. Student Name Standards and Objectives Basic Operations on Algebraic Expressions Class Recording Chart V-1, 4 V-2 V-3 Applying Graphing Techniques VI-1 Problem Situations VII-1 VII-2 VII-3 VII-4 VII-5 VII-6 Algebraic and Geometric Concepts Standards and Objectives VII-7 Place an X in the appropriate box to indicate that a student needs additional practice with the objective. Use the columns to determine which standards need to be practiced by most of the class. Student Name Copyright © Glencoe/McGraw-Hill VII-8 Class Recording Chart (continued) AHSGE Practice and Sample Test Workbook vii Algebra: Concepts and Applications Lesson(s) 10-2, 10-3, 10-4, 10-5 4-5, 4-6, 4-7 Multiply polynomials. Factor polynomials. 9-1, 9-2P, 9-2, 9-3P, 9-3, 9-4, 9-5, 9-6 Standard II Solve equations and inequalities. Solve multi-step equations of first degree. Objective 3 Objective 4 Objective 1 viii AHSGE Practice and Sample Test Workbook 9-3, 9-4, 9-5 2-3, 2-5, 3-3, 3-5, 3-7, 4-2, 4-3, 4-4, 5-1, 5-4, 6-1, 6-3, 6-4, 8-1, 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 11-1, 11-3, 11-4, 11-5, 12-5, 12-7, 14-1, 14-2, 14-3, 14-5 PST 16 PST 2 Geometry: Concepts and Applications Lesson(s) 1-2, 1-3, 1-4, 1-5, 1-6, 2-6, 3-2, 3-5, 3-6, 4-2, 4-6, 5-1, 6-1, 6-2, 6-3, 6-4, 6-5, 7-6, 7-7, 8-1, 8-2, 8-3, 8-4, 8-6, 9-2, 9-4, 10-1, 10-2, 10-3, 10-4, 10-5, 10-6, 10-7, 11-2, PS6 1-2, 1-3, 1-4, 1-5, 1-6, 2-6, 3-2, 3-5, 3-6, 4-6, 6-1, 6-3, 6-4, 8-1, 8-3, 8-4, 8-6, 10-2, 10-3, 10-4, 10-5 6-1, 7-1, 8-4, 10-7, 12-4, PS11 7-1, 8-4, 10-7, 12-4 Geometry Lesson(s) Copyright © Glencoe/McGraw-Hill P Preview Lesson, F Follow-Up Lesson, PS Prerequisite Skill Lesson, PST Preparing for Standardized Tests 3-4P, 3-4, 3-5, 3-8, 3-9 8-1, 8-6, 8-7P, 8-7, 8-8 8-5P, 8-5 Add and subtract polynomials. Objective 2 9-2 1-1, 1-2, 1-3, 1-4 Apply order of operations. Objective 1 1-2, 3-4, 8-1 Standard I Perform basic operations on algebraic expressions. Standard and Objective Algebra 1 Lesson(s) 1-3, 1-4 5-4, 6-3, 7-4, PS2 5-2 5-2 1-1 Algebra 2 Lesson(s) Standards and Objectives Tested on AHSGE Correlated to Glencoe Algebra 1, Algebra: Concepts and Applications, Geometry: Concepts and Applications, Glencoe Geometry, and Glencoe Algebra 2 Algebra 1 Lesson(s) Find the range of functions when given the domain. Objective 2 Objective 1 Find the perimeter, circumference, area, or volume of geometric figures. Standard IV Apply formulas. Identify functions. Objective 1 PS9, PS10, PS11 4-6 4-6 Solve quadratic 9-2, 9-3, 9-4 equations that are factorable. Objective 3 Solve systems of 7-1, 7-1F, 7-2, two linear 7-3, 7-4 equations. Objective 4 Solve multi-step 6-3 inequalities of first degree. Standard III Apply concepts related to functions. Objective 2 Standard and Objective Copyright © Glencoe/McGraw-Hill 1-3, 1-4, 1-5, 3-4, 4-4, 4-5, 4-7, 6-2, 6-4, 6-6, 8-2, 8-6, 9-1, 9-2, 9-3, 9-4, 9-5, Ch. 9 Investigation, 10-1, Ch. 10 Investigation, 10-2, 10-3, 10-4, 10-5, 11-4, 11-5, Ch. 12 Investigation, 13-6, Ch. 13 Investigation, 14-1, 15-2, 15-3, 15-4 3-4, PST 5, 6-4 1-6, 9-7, 10-3, 10-4, 10-5, Ch. 10 Investigation, 11-5, 11-6, 12-2, 12-3, 12-4, 12-5, 12-6, 12-7, 13-1, PST 13, PST 15 1-2, 1-3, 1-4, 1-6, 3-2, 3-6, 4-7, 6-5, 7-5, 7-6, 7-7, 8-1, 8-3, 8-5, 9-2, 9-3, 9-5, 9-6, 10-1, 10-2, 10-3, 10-6, 10-7, 11-1, 11-2, 11-3, 11-4, 11-5, 12-2, 12-3, 12-4, 12-5, 12-6, 12-7, 13-1, 13-2, 13-3, 13-4, 13-5, PS3 1-1, 4-5, 8-1 2-1 2-1, 2-2, 2-6, 9-5, 10-1 1-5, 1-6 5-4, 5-5, PS7 6-4, Ch. 6 Investigation 3-1, 3-2, 4-8 3-6, 5-1, 10-8, PS9 16-1, 16-2, PST 16 6-3 Algebra 2 Lesson(s) 13-1, 13-2, 13-3, 13-4, 13-5, PST 14 12-4, 12-5, 12-6 Geometry Lesson(s) 7-1, 8-4, 10-7, 12-4, PS13 Geometry: Concepts and Applications Lesson(s) 11-3, 11-4, 11-5, 11-6 Algebra: Concepts and Applications Lesson(s) Standards and Objectives (continued) AHSGE Practice and Sample Test Workbook ix Find the distance, midpoint, or slope of line segments when given two points. x AHSGE Practice and Sample Test Workbook Translate verbal or symbolic information into algebraic expressions, or identify equations or inequalities that represent graphs or problem situations. Objective 1 5-1 4-5, 4-5F, 4-6, 4-8, 5-2, 5-3, 5-3F, 7-1, 10-1, 10-1F 4-1, 5-1, 11-5 Copyright © Glencoe/McGraw-Hill 1-1, 1-1F, 1-3, 3-1, 3-2, 3-3, 3-4, 4-8, 6-1, 6-2, 6-3, 6-4, 6-6, 7-1, 7-2, 7-3, 7-4, 7-5 1-3, 6-1, 6-2P, 6-2, 6-3, 6-4, 6-5, 6-6, 7-5 Standard VI Represent problem situations (translate). Objective 3 Objective 2 Graph or identify graphs of linear equations. Identify graphs of common relations. Graph lines given certain conditions. Determine solution sets of inequalities. Objectives 1, 4 Standard V Apply graphing techniques. Objective 2 Standard and Objective Algebra 1 Lesson(s) 1-1, 1-2, 1-3, 1-4, 1-5, 3-4, 3-5, 3-6, 4-4, 4-5, 7-2, 7-3, 11-1, 11-2, 12-1, 12-2, 12-3, 12-4, 12-5, 12-6, 12-7, 13-1, 13-2, 13-3, 13-4, 13-5, 13-7 12-1, 12-2, 12-3, 12-4, 12-5, 12-6 7-5, 7-6, 7-7 6-2, 6-3, 6-4, 7-5, 7-6 7-1, 14-2, Ch. 14 Investigation Algebra: Concepts and Applications Lesson(s) Ch. 2 Investigation, 3-5, 4-5, 4-6, 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 10-1, 10-2, Ch. 10 Investigation, 11-6, 12-2, 16-3 4-6 PST 11 2-3, 2-5, 4-5, 6-7, PST 8, PST 11, 15-6 Geometry: Concepts and Applications Lesson(s) 1-5, 1-6, 3-3, 3-4, 6-1, 6-2, 6-3, 6-4, 7-5, 7-6, 7-7, 9-2, 9-6, 10-6, 10-7, 11-4, 12-3 PS7 3-3, PS8 1-3, 1-5, 1-6, 2-4, 2-7, 3-1, 3-3, 3-4, 3-5, 4-6, 4-8, 6-1, 9-4, 9-5, 9-6, 10-6 1-5, 1-6, 2-7 2-3 2-3, 2-4, 3-1, 6-6P, 9-5 2-3, 8-1, 8-1F 1-3, 1-6, 3-3, 3-4, 3-5, 3-6, 4-1, 4-3, 4-4, 4-7, 5-1, 6-3, 6-4, 7-2, 7-3, 7-4, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 9-5, 9-6, 10-8, 11-1, 11-2, 11-3, 11-4, 13-5 3-3, 3-4, PS8 Algebra 2 Lesson(s) Geometry Lesson(s) Standards and Objectives (continued) Apply properties of similar polygons. Apply Pythagorean Theorem. Objective 2 Objective 3 Apply properties of angles and relationships between angles. Objective 1 Standard VII Solve problems. Standard and Objective Copyright © Glencoe/McGraw-Hill 11-6 11-4 1-8, 8-7, 11-6, 11-7P, 11-7, PS7 Algebra 1 Lesson(s) PST 12, Ch. 9 Investigation, Ch. 10 Investigation 8-7, Ch. 8 Investigation 4-7, 5-3, 6-2, 6-3, 12-3, PST 12 Algebra: Concepts and Applications Lesson(s) Geometry Lesson(s) 1-4, 1-5, 1-6, 2-8, 3-2, 3-5, 3-6, 4-2P, 4-2, 4-3, 4-4, 4-5, 4-6, 5-1, 5-4, 5-5, 6-2, 6-3, 7-3, 7-4, 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 9-3, 9-4, 9-6, 10-2, 10-3, 10-4, 10-5 6-6 1-3, 1-3F, 2-6, 7-1, 7-2P, 7-2, 7-3, 7-4, 7-5, 7-7, 9-6, 10-1, 10-3, 10-5, 12-2, 12-3, 12-5, 12-6, 12-7, 13-1, 13-5 9-2, 9-3, 9-4, 9-5 6-2, 6-3, 6-4, 6-5, 6-6, 7-1, 7-4, 9-5, 13-4 3-1, 3-2, 3-3, 3-4, 3-5, 3-6, 3-7, 4-2, 4-3, 4-4, 7-1, 7-2, Ch. 7 Investigation, PST 12 Geometry: Concepts and Applications Lesson(s) PS3 13-3, PS4 13-1, 13-2, 13-3, 13-4, 13-5, 13-6, 13-7, 14-3, 14-5, 14-6 Algebra 2 Lesson(s) Standards and Objectives (continued) AHSGE Practice and Sample Test Workbook xi xii AHSGE Practice and Sample Test Workbook PST 3 3-3 5-6, 5-7, PST 6, 15-2 PS12 14-2, 14-3, 14-4, 14-5 Determine measures of central tendency. Determine probabilities. Objective 5 Objective 6 Copyright © Glencoe/McGraw-Hill 1-6, Ch. 3 Investigation, 4-1, 5-1 through 5-6, Ch. 5 Investigation, 6-1 through 6-6, Ch. 6 Investigation, 7-3, 7-4, 8-1 through 8-5, Ch. 8 Investigation, 9-7, 10-1 through 10-7, Ch. 10 Investigation, PST 10, 11-1 through 11-6, 12-1 through 12-7, Ch. 12 Investigation, 13-1 through 13-5, PST 13, 14-1 through 14-5, Ch. 14 Investigation, PST 14, PST 15 PST 5 1-3, 1-4, 1-5, Ch. 3 Investigation, 3-4, 4-4, 4-5, 4-7, 6-2, 6-4, 6-6, 8-1, 8-6, 9-1, 9-2, 9-3, 9-4, 9-5, 10-1, 10-2, 10-3, 10-4, 10-5, 11-4, 11-5, Ch. 12 Investigation, 13-6, Ch. 13 Investigation, 14-1, 15-2, 15-3, 15-4 1-1, 1-2, 2-4, 3-1, 3-2, 3-8, 8-1, 8-1F, 8-2, 8-4, 8-5, 8-6, 8-7, 8-8, 9-2, 9-3, 9-5, 11-2, 11-4, 11-5, 11-6, 11-7, PS7, PS8, PS9, PS10, PS11 Apply properties of plane and solid geometric figures. Geometry: Concepts and Applications Lesson(s) Algebra: Concepts and Applications Lesson(s) Objective 4 Standard and Objective Algebra 1 Lesson(s) 1-2F, 5-4, 10-1, 10-4, 11-5, 13-2, 13-3 1-3, 1-2F, 4-5, 6-1, 8-1, 9-1, 13-1, 13-2F, 13-4, 13-5 1-1 through 1-6, 2-1 through 2-8, 3-1 through 3-6, 4-1 through 4-7, 5-1 through 5-5, 6-1 through 6-6, 7-1 through 7-7, 8-1 through 8-7, 9-1 through 9-7, 10-1 through 10-8, 11-1 through 11-5, 12-1 through 12-7, 13-1 through 13-5 12-3, 12-4, 12-5 12-6, PS5 Algebra 2 Lesson(s) Geometry Lesson(s) Standards and Objectives (continued) Objective 8 Objective 7 Solve problems involving direct variation. Solve problems involving algebraic concepts. Standard and Objective Copyright © Glencoe/McGraw-Hill 6-5 1-1 through 1-4, 2-1 through 2-6, 3-1, 3-2, 3-4 through 3-7, 4-1, 4-3 through 4-7, 5-1 through 5-5, 6-1 through 6-6, 7-1 through 7-7, 8-1 through 8-6, 9-1 through 9-5, 10-1 through 10-5, 11-1 through 11-7, 12-1 through 12-7, 13-1 through 13-7, 14-1 through 14-5, 15-1 through 15-6, Ch. 15 Investigation 1-1 through 1-9, 2-1 through 2-7, 3-1 through 3-9, 4-1 through 4-8, 5-1 through 5-7, 6-1 through 6-6, 7-1 through 7-5, 8-1 through 8-8, 9-1 through 9-6, 10-1 through 10-7, 11-1 through 11-7, 12-1 through 12-9, 13-1 through 13-5, 14-1 through 14-5 Algebra: Concepts and Applications Lesson(s) 5-2 Algebra 1 Lesson(s) PST 6, PST 7 Geometry: Concepts and Applications Lesson(s) Geometry Lesson(s) 1-1 through 1-6, 2-1 through 2-7, 3-1 through 3-5, 4-1 through 4-8, 5-1 through 5-9, 6-1 through 6-7, 7-1 through 7-9, 8-1 through 8-7, 9-1 through 9-6, 10-1 through 10-6, 11-1 through 11-8, 12-1 through 12-9, 13-1 through 13-7, 14-1 through 14-7 9-4 Algebra 2 Lesson(s) Standards and Objectives (continued) AHSGE Practice and Sample Test Workbook xiii Reference Page Use the information below to answer questions on the Alabama High School Graduation Exam. Some Abbreviations Used in Formulas b1, b2 bases of a trapezoid b base of a polygon h height or altitude l length w width symbol for a right angle m the measure of an angle A area C circumference r radius d diameter 3.14 P perimeter D distance M midpoint m slope S.A. surface area V volume B area of the base S sum of interior angles of a convex polygon n number of sides of a convex polygon Formulas 1 2 Triangle: A bh Distance Formula: D (x2 x1)2 (y2 y1)2 Parallelogram: A bh x x 2 y2 y1 Slope Formula: m x2 x1 y y 2 1 2 1 2 Midpoint Formula: M , Rectangle: A lw 1 2 Trapezoid: A h(b1 b2) Circle: C d C 2r A r2 Sum of Measures of Interior Angles of a Convex Polygon: S 180(n 2) 2 4ac bb Quadratic Formula: x Distance rate time 2a Pythagorean Theorem: Surface Area a2 Volume Rectangular Prism S.A. Ph 2B or S.A. 2(wh lh lw) V Bh or V lwh Cylinder S.A. 2rh 2r2 V r2h Forms of Equations Standard form of an equation of a line: Ax By C Slope-intercept form of an equation of a line: y mx b Point-slope form of an equation of a line: y y1 m(x x1) xiv AHSGE Practice and Sample Test Workbook b2 Copyright © Glencoe/McGraw-Hill Interest principal rate time c2 Name Date Diagnostic Test Test Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Which of these equations represents the graph below? V-4 1 C 2 E 3 B y x O A B C D y x2 y x y x yx 2 Which of these graphs represents the solution of x 4 1 or 2x 2 4? V-3 E 6 5 4 3 2 1 0 1 2 3 4 5 6 F 6 5 4 3 2 1 0 1 2 3 4 5 6 G 6 5 4 3 2 1 0 1 2 3 4 5 6 H Copyright © Glencoe/McGraw-Hill 6 5 4 3 2 1 0 1 2 3 4 5 6 3 What is the value of x in the right triangle below? VII-2 x 6 9 A 30 B 117 C 15 D 58.5 AHSGE Practice and Sample Test Workbook 1 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 G 5 D 6 Simplify: 4m2 2mn 6m2 mn I-2 E 2m2 mn F 2m4 m2n2 G 10m2 2mn H 2m2 2mn 6 E 7 Which of these dimensions form a rectangle similar to a rectangle with a width of 2 centimeters and a length of 7 centimeters? VII-3 A 7 centimeters by 12 centimeters B 8 centimeters by 28 centimeters C 4 centimeters by 49 centimeters D 3 centimeters by 14 centimeters 7 B 4 Which of these sets of numbers could be the lengths of the sides of a right triangle? VII-2 {3, 6, 9} {7, 12, 15} {8, 15, 17} {12, 14, 16} 5 Which of these equations represents the data in the table? III-1 x 1 3 2 A B C D 2 y 2 8 7 y 5x 3 y 6x 4 y 4x 2 y 3x 1 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E F G H Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 Which of these graphs represents the solution of 5 2x 1 5? V-3 8 H 9 B 10 G E 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 F G 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 H 9 What is the value of x in the right triangle below? VII-2 x 7 10 A 17 B 51 C 17 D 25.5 10 In the patio plan shown below, figure ACE is similar to figure BCD. VII-3 Copyright © Glencoe/McGraw-Hill A B 6 ft C 8 ft D 4 ft E What is the length of segment AE? E 3 feet F 5.3 feet G 9 feet H 15 feet AHSGE Practice and Sample Test Workbook 3 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 11 Simplify: 5(x 2) 3(x 2) I-2 A 2x 16 B 2x 8 C 2x 4 D 2x 12 Given: m n, m1 50°. What is m2? VII-1 E 30° F 40° G 50° H 130° p 1 2 13 A 72-inch ramp leads from the driveway to the truck. VII-2 11 A 12 H 13 B 14 E m n 72 in. x What is the distance x from the top of the ramp to the ground? A 266 inches 11 inches B 12 C 1261 inches D 12 inches 14 Simplify: 6 32 2 (4 5) I-1 E 243 F 162 G 113 H 3 4 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill 60 in. Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 15 What is the equation of the line shown in the graph below? V-1 15 D 16 E 17 B 18 H y x O A B C D y2 yx y x x2 16 Which of these graphs represents the solution of x 1? V-3 E 6 5 4 3 2 1 0 1 2 3 4 5 6 F 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 G H Copyright © Glencoe/McGraw-Hill 6 5 4 3 2 1 0 1 2 3 4 5 6 17 A box has a volume of 2352 cubic inches, a height of 12 inches, and a square base. What is the length of a side of the base? VII-4 A 7 inches B 14 inches C 28 inches D 98 inches 6w2 w 3w2 w 18 Simplify: I-2 2 3 E 4w2 F 4w2 w 12w 5w G 2 6 24w2 w H 6 AHSGE Practice and Sample Test Workbook 5 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 19 B 20 F 21 In an equation, y varies directly with x. If x 4 when y 16, what is the value of x when y 40? VII-7 A 1.6 B 10 C 52 D 160 21 B 22 Brad is three times as old as Terri. The sum of their ages is 60. How old is Brad? VII-8 E 45 F 40 G 20 H 15 22 E 19 Which of these equations represents the graph at the right? V-4 A y=x B y = x C y = x D y = x2 y O x 2 20 Which of these graphs represents a line that has a slope of and 3 a y-intercept of 3? V-2 y y E F O O x H y O O x 6 y AHSGE Practice and Sample Test Workbook x Copyright © Glencoe/McGraw-Hill G x Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 2 23 Which of these graphs represents the equation y x 2? V-1 y A B 23 B 24 E 25 B y x x O C O D y x O 24 What is the value of x? VII-1 y O x 80˚ Copyright © Glencoe/McGraw-Hill 20˚ E F G H x˚ 100° 80° 60° 20° 25 Which of these is equivalent to (2xy4)3? I-3 A 8xy12 B 8x3y12 C 6x3y12 D 6xy12 AHSGE Practice and Sample Test Workbook 7 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 26 G 27 Simplify: (x 4)(x + 4) I-3 A x2 B x2 8x 16 C x2 8x 16 D x2 16 27 D 28 Which of these graphs represents a line passing through the points (2, 2) and (2, 1)? V-2 y y E F 28 G 29 C x O G x A 2x 6 x C x O H y O B y O x 29 Which of these statements is the same as x2 4x 3? VI-1 A The difference of 2 times a number x and 4 times the number x is 3. B Four times a number x squared minus the number x is 3. C A number x squared minus 4 times the number x is 3. D Four times the difference of a number x squared and the number x is 3. 8 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill 26 What is the area of triangle ABC? VII-4 E 2x2 6 F 2x2 6x G x2 3x H x2 6x Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5m2 12 30 E 31 Which of the following relations describes a function? III-1 A {(1, 4), (3, 2), (4, 6), (1, 8)} B {(2, 7), (8, 10), (10, 14), (8, 1)} C {(5, 4), (9, 6), (5, 2), (9, 0)} D {(12, 12), (9, 3), (14, 10), (9, 5)} 31 B 32 If a circular table top has a diameter of 12 feet, what is the area of the table top to the nearest square foot? IV-1 32 G 33 What is the equation of a line with slope 3 that passes through the point (0, 2)? VI-1 A y 2x 3 B y 3x 2 C y 3x 1 D y 2x 1 33 B 34 Simplify: (5m2)(n) (3m2)(4n) I-3 E 17m2n F 7m2n G 7m2n H 14m2n 34 F 4m 15 30 Simplify: I-3 3 m E 9 m2 F 6 m3 G 6 m2 H 9 Use A r2 and 3.14. Copyright © Glencoe/McGraw-Hill E F G H 38 square feet 75 square feet 113 square feet 452 square feet AHSGE Practice and Sample Test Workbook 9 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 35 C 36 A convex polygon has 12 sides. What is the sum of the measures of the interior angles? VII-1 E 1800° F 1980° G 2160° H 2520° 36 E 37 A circular serving tray has a circumference of 8 inches. What is the area of the serving tray? VII-4 A 16 square inches B 64 square inches C 16 square inches D 64 square inches 37 C 38 If f(x) 3x2 + 2x 1, what is f(3)? III-2 E 11 F 20 G 25 H 34 38 H 35 Which of these graphs represents the equation y 2? V-1 x O y C O 10 y B x O y D x AHSGE Practice and Sample Test Workbook O x Copyright © Glencoe/McGraw-Hill y A Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 39 What is the range of y 4x2 2 if the domain is {3, 0, 2}? III-2 A {22, 2, 18} B {34, 2, 18} C {2, 18, 38} D {2, 10, 26} 39 C 40 What is the equation of the line shown in the graph below? VI-1 40 E 41 B 42 E y (1, 4) x O (2, 2) E y 2x 2 F y 2x 2 1 2 G y x 2 1 2 Copyright © Glencoe/McGraw-Hill H y x 2 41 Factor: 25x2 25 I-4 A 25(x 1) B 25(x 1)(x 1) C 25(x 1) D 25(x 1)(x 1) 42 What is the range of the function shown on the graph? III-2 E 0y2 F 0y4 G 2y4 H 0y6 y O x AHSGE Practice and Sample Test Workbook 11 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 43 D 44 F 45 Simplify: 3a 2b (a 5b) I-1 A 3a 7b B 3a 3b C 2a 3b D 2a 7b 45 D 46 The sum of three consecutive integers is 45. What is the value of the middle integer? VII-8 E 13 F 14 G 15 H 16 46 G 43 Which of these tables represents the function f(x) x 3? III-1 A x f(x) C x f(x) B 3 2 1 0 0 5 4 3 x 3 2 1 0 f(x) 0 1 2 3 D 3 2 1 0 6 5 4 3 x 3 2 1 0 f(x) 6 5 4 3 44 Which of these inequalities describes this graph? VI-1 6 12 4 3 2 1 0 1 2 3 4 5 6 2 x 4 2 x 4 2 x 4 2 x 4 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E F G H 5 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 47 Simplify: 4 5 8 3 I-1 A 6 B 4 C 9 D 10 47 B 48 What is the slope of the line shown in the graph? IV-2 48 G 49 C y y x2 x1 2 1 Slope Formula: m y O (2, 3) x (2, 1) 1 2 E 2 F 1 G H 2 2 49 Which of these graphs represents a function? III-1 A B y Copyright © Glencoe/McGraw-Hill O O x x C D y O x O x AHSGE Practice and Sample Test Workbook 13 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 50 F 51 Solve: 3x 2(x 1) 5 0 II-4 A x7 B x 7 C x 4 D x4 51 A 52 Which of these graphs represents the equation f(x) 2x 1? V-1 y y E F 52 F 53 A 50 What is the mode of this set of data? VII-5 5, 7, 8, 2, 5, 7, 5 2 5 7 8 O G x H y O O x 53 What is the range of this function? III-2 {(1, 5), (4, 0), (3, 6), (7, 0)} A B C D 14 {0, 5, 6} {3, 1, 4, 7} {3, 1, 0, 4, 5, 6, 7} {5, 6} AHSGE Practice and Sample Test Workbook y O x Copyright © Glencoe/McGraw-Hill E F G H Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 3z 5z 54 E 55 C 56 The measure of an angle in degrees is 4x. Which of these represents the measure of its complement? VII-1 E 90 4x F 180 4x G 4x 180 H 4x 90 56 E 57 Solve: 14 8(t 2) II-1 A 4 57 C 54 Simplify: 2z 4 I-1 2 E z 4 8 11z F 2 G 2z 4 H 3z 4 55 The endpoints of ST are (3, 7) and (8, 6). What are the coordinates of the midpoint of ST ? IV-2 x x 2 y y 2 1 1 2 , 2 Midpoint Formula: M 11 13 A , 2 B C Copyright © Glencoe/McGraw-Hill D 2 5 1 , 2 2 5 1 , 2 2 11 13 , 2 2 15 B 4 1 4 C D 4 AHSGE Practice and Sample Test Workbook 15 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 2x 4 3 58 Solve: 6 II-1 58 F 59 B 60 F 61 A 5 E 2 F 7 G 11 H 14 59 Which of these graphs represents the solution of x 1 2? V-3 A 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 B C D 60 What is the median of this set of data? VII-5 12.1, 24.2, 15.4, 20.8, 12.4, 16.3, 17.3 15.85 16.3 16.8 16.9 61 The perimeter of the rectangle shown below is 12x 4. The length of side QP is 3x 2. What is the length of side NQ? VII-4 N Q 3x 2 M A B C D 16 P 3x 6x 9x 2 9x 6 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E F G H Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 62 E 63 Factor: 2x2 7x 3 I-4 A (2x 3)(x 1) B (2x 3)(x 1) C (x 3)(2x 1) D (x 3)(2x 1) 63 D 64 Which of these graphs represents a line with x-intercept of 4 and y-intercept of 1? V-2 64 G 65 C 62 What is the mean of this set of data? VII-5 50, 45, 28, 46, 52, 35, 14, 27 E F G H 37.125 40 42.429 45.5 y E Copyright © Glencoe/McGraw-Hill O x y H y O y x O G F O x 65 Solve: 3r 2 6r 4 II-4 A r 2 3 B r C r 2 D r 2 x 2 3 AHSGE Practice and Sample Test Workbook 17 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 66 H 67 C 68 Solve: y 3 2y 15 II-1 E 12 F 6 G 6 H 12 68 E 69 Twenty marbles are placed in a box–4 green, 10 red, and 6 blue. In a random drawing, two marbles are chosen without replacement. What is the probability that the first marble selected will be red and the second marble will be green? VII-6 69 D 66 What is the solution of the following system of linear equations? II-3 y 4x 2x y 12 E F G H (6, 24) (2, 8) (2, 8) (6, 24) 67 What is the area of the triangle shown in the diagram below? IV-1 1 2 Use A bh. 6 ft 15 ft 180 square feet 90 square feet 45 square feet 21 square feet 9 A 10 17 C 19 18 1 B 10 2 D 19 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill A B C D Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 70 Factor: 4w(w 1) (w 1) I-4 E (4w 1)(w 1)2 F (4w 1)(w 1) G 4w(w 1) H 4w(w 1)2 70 F 71 What is the area of the parallelogram shown in the diagram below? IV-1 71 C 72 H 73 C Use A bh. 8 cm 6 cm 10 cm A B C D 480 square centimeters 80 square centimeters 60 square centimeters 48 square centimeters 72 Which of these equations represents this statement? VI-1 1 2 Six less than of a number x is equal to eight. E 12 6x 8 Copyright © Glencoe/McGraw-Hill 1 F (x 6) 8 2 1 G x 6 8 2 1 H x 6 8 2 73 Solve: s(s 2) 3(s 4) 0 II-2 1 1 A , 3 4 1 1 B , 4 3 C 4, 3 D 3, 4 AHSGE Practice and Sample Test Workbook 19 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 74 F 75 Anne earned scores of 15, 12, 14, and 9 on her first four Spanish quizzes. If Anne wants her mean test score to be 13 after five quizzes, what quiz score must she earn on her fifth quiz? VII-5 A 12 B 13 C 14 D 15 75 D 76 What is the distance between (4, 2) and (5, 2)? IV-2 76 H 77 C 74 Solve: 12c2 2 11c II-2 1 4 1 2 F , 4 3 2 G , 4 3 2 3 E , 2 3 H 4, E 1 F 2 G 22 H 97 77 Factor: x2 x 12 I-4 A (x 3)(x 4) B (x 4)(x 3) C (x 4)(x 3) D (x 4)(x 3) 20 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill Distance Formula: D (x2 x1)2 (y2 y1)2 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 78 There are 15 girls and 10 boys in a drama class. If two drama class members are selected at random, what is the probability that the first member is a girl and the second member is a boy? VII-6 78 E 79 C 80 G 1 E 4 6 F 25 3 G 4 19 H 25 x4 2 10 9 14 3 10 3 14 9 3x 1 3 79 Solve: II-1 A B C D 80 Which of these graphs could be used to find the solution for the following system of equations? II-3 xy4 yx2 E y F y Copyright © Glencoe/McGraw-Hill (3, 1) O x y G H (3, 1) O O ( 3, 1) x x y O (3, 1) x AHSGE Practice and Sample Test Workbook 21 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 3 81 Which of these graphs represents a line that has a slope of and 4 passes through (4, 3)? V-2 y A B A 82 F 83 A y x O O C 81 y O D x y x O x 82 Solve: 9x2 1 0 II-2 1 1 E , 9 9 1 1 F , 3 3 83 A box contains 18 tiles–4 blue, 8 white, and 6 yellow. One tile is chosen from the box, returned to the box, and then another tile is chosen. What is the probability that the first tile selected will be blue and the second tile will be yellow? VII-6 2 A 27 4 B 51 4 C 9 5 D 9 22 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill G 3, 3 H 9, 9 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 84 A scale drawing is drawn to a scale of 1 : 9. If the length of the actual object is 27 feet, what is the length of the scale drawing? VII-7 E 3 inches 84 G 85 B 86 H 1 4 F 20 inches G 36 inches H 243 inches 85 Solve: 8x2 6x 0 II-2 3 4 A 0, 3 4 3 C 2, 4 B 0, 3 4 D 2, 86 If XYZ RST, which of these proportions is true? VII-3 Y Copyright © Glencoe/McGraw-Hill S z x t X y Z R r s T t x E s y t x F z y x r G y t x r H y s AHSGE Practice and Sample Test Workbook 23 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 87 C 88 E 89 A jogger can jog 4 miles in 30 minutes. At this rate, how long will it take to jog 10 miles? VII-7 A 12 minutes B 75 minutes C 120 minutes D 300 minutes 89 B 90 Solve: 3(c 2) 4 4(2c 1) II-4 E c2 F c2 90 G 87 What is the solution of the following system of linear equations? II-3 3x 5y 2 9x 15y 6 4 2 A , B 3 5 2 4 , 3 5 C all real numbers D no solution 88 What is the equation of the line passing through the points (1, 4) and (2, 5)? VI-1 E y 3x 1 1 3 F y x 1 G y 3x 7 1 3 6 5 6 H c 5 G c 24 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill H y x 7 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 91 Simplify: 5d 4 d c c I-2 1 4 1 8 1 2 91 C 92 G 93 B 5 8 3 B 4d c 8 A 4d c C 4d 1 4 D 4d c 92 The endpoints of AB are (2, 7) and (2, 1). What are the coordinates of the midpoint of AB ? IV-2 x x 2 y y 2 1 1 2 , 2 Midpoint Formula: M E F G H (2, 3) (2, 3) (0, 4) (0, 4) 93 If ABCDEFGH MNPQRSTU, what is the length of segment TS? VII-3 B 6 C Copyright © Glencoe/McGraw-Hill 6 6 N A D 6 6 H E 6 4 P M Q U R 6 G 6 F T S A 32 B 4 1 2 2 D 3 C 1 AHSGE Practice and Sample Test Workbook 25 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 94 What is the total surface area of the rectangular prism shown below? IV-1 94 G 95 A 96 H Use SA 2(wh h w). 10 7 6 E F G H 23 92 344 420 2 5 25 A x 7 25 B x 7 25 C x 2 95 Solve: x x 5 II-4 96 What is the solution of the following system of linear equations? II-3 2x y 5 4x 2y 22 E 187 , 283 F (4, 13) 27 7 G , 8 4 H (4, 3) 26 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill D x 2 Name Date Diagnostic Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 97 In a group of 25 students, 8 were freshmen, 5 were sophomores, 7 were juniors, and 5 were seniors. If a student is chosen at random, what is the probability that the student is a junior or a senior? VII-6 97 C 98 F 99 C 100 F 3 A 5 13 B 25 12 C 25 2 D 5 98 A new savings account was opened with a deposit of $8000. Part of the money earned 4% interest and the remainder earned 6%. The account earned a total of $450 in simple interest during one year. How much money was invested to earn 4% interest? VII-8 E $1375 F $1500 G $6500 H $6625 Copyright © Glencoe/McGraw-Hill 1 99 A scale of a map is inch 100 miles. If two towns are located 3 inches 2 apart on the map, what is the actual distance between them? VII-7 A 200 miles B 300 miles C 600 miles D 900 miles 100 The area of a rectangular rug is 120 square feet. The length is 1 foot less than twice the width. What is the width of the rug? VII-8 E 7.5 feet F 8 feet G 15 feet H 16 feet AHSGE Practice and Sample Test Workbook 27 Name Date Standards Practice Basic Operations on Algebraic Expressions AHSGE I-1 Apply order of operations. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Simplify: 42 5 6 2 A 3.5 B 7.5 C 10 D 18 1 D 2 Simplify: (5 2)2 5 42 2 E 17 F 18 G 36 H 40 2 G 3 Simplify: 3 (62 8) 4 5 A 38.75 B 38 C 8.75 D 8 3 B 4 F 5 Simplify: 8 6 33 (4 2 3) A 34 B 28 C 16 D 1 5 C 6 Simplify: a b a 3b E a 3b F 2a 2b G 2b H 3b 6 F 24 3 5 10 4 Simplify: 4 28 3.3 4.1 6.5 10.5 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E F G H Name Date Standards Practice Basic Operations on Algebraic Expressions AHSGE I-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 A 8 G 9 B 10 F 11 Simplify: 8 4 9 2 A 5 B 14 C 15 D 17 11 A 12 Simplify: 3 3 5 2 6 E 18 F 1 G 6 H 24 12 H 7 Simplify: 2x 3y – (x + 4y) A x 7y B xy C 2x y D 2x 7y 4y 2y 2 8 Simplify: 6y E F G H 3y 6y 1 7y 9y 9 Simplify: m (m 4n) 3n A n B 7n C 2m 7n D n 3z 9z 4 10 Simplify: 3z 5 7 Copyright © Glencoe/McGraw-Hill E F G H 9z 12 6z 12 2 12 AHSGE Practice and Sample Test Workbook 29 Name Date Standards Practice Basic Operations on Algebraic Expressions AHSGE I-2 Add and subtract polynomials. 1 Simplify: 2x2 3xy 4x2 5xy A 2x2 2xy B 2x4 8x2y2 C 6x2 8xy D 6x2 8x2y2 1 A 2 Simplify: 5p2q3 4pq 4p2q3 pq E p2q3 5pq F p2q3 4pq G 9p2q3 4pq H 9p2q3 3pq 2 H 3 Simplify: 3.5r2 5.5 1.5r2 4 A 5r2 1.5 B 4r2 5.1 C 2r2 1.5 D 5r2 9.5 3 A 4 Simplify: 4.6wz3 2.4z2 0.8z2 3.4wz3 E 8w2z6 3.2z4 F 8wz3 3.2z2 G 1.2wz3 3.2z2 H 1.2w2z6 3.2z4 4 F 5 Simplify: 5(t2 3) 2(t2 4) A 3t2 7 B 3t2 1 C 7t2 7 D 7t2 23 5 D 6 Simplify: 8m2 4(m2 n3) n3 E 4m2 F 4m2 5n3 G 12m2 H 12m2 3n3 6 F 30 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. Name Date Standards Practice Basic Operations on Algebraic Expressions AHSGE I-2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 C 8 E 9 B 1 1 2 10 Simplify: 3x 6 x y y 10 E 7 Simplify: 9rs2 6r2 4(rs2 3s) A 13rs2 6r2 3s B 5rs2 6r2 3s C 5rs2 6r2 12s D 13rs2 6r2 3s 3y 2 4 2y 1 8 8 Simplify: 8y 5 8 8y 3 F 8 E G 2y – 2 8y 5 2 H 2 4 2 12 1 1 1 1 9 Simplify: c d 2 c d 2 8 3 A d 4 1 B d 4 3 4 Copyright © Glencoe/McGraw-Hill C c d 3 4 D c d 3 1 6 E y 7 6 F 6x y 3 5 G y H 6x y AHSGE Practice and Sample Test Workbook 31 Name Date Standards Practice Basic Operations on Algebraic Expressions AHSGE I-3 Multiply polynomials. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 2x 5x 5z 6 2z2 15 1 B 2 E 3 Simplify: (3x)(2y) (4x)(2y) A 48x2y2 B 2xy C 14xy D 48x2y2 3 C 4 Simplify: (3y 1)(2y 3) E 6y2 7y 3 F 6y2 7y 3 G 6y2 7y 3 H 6y2 3 4 E 5 Simplify: (x 5)(x 5) A x2 B x2 10x 25 C x2 10x 25 D x2 25 5 D 1 Simplify: 5 2 A x B x2 4 C 25 25 D 4 2 Simplify: 3 z E 32 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill 9 z2 F 6 25 G 4z 5 H 2z Name Date Standards Practice Basic Operations on Algebraic Expressions AHSGE I-3 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 2y 1 2 3 6 G 7 Simplify: (w 4)(w 5) A w2 9w 20 B w2 9w 20 C w2 9w 20 D w2 9w 20 7 A 8 Simplify: 2x3(2x)3 E 12x6 F 12x9 G 16x6 H 16x9 8 G 9 Simplify: (x3)2(3x2)2 A 9x10 B 9x6 C 6x20 D 6x9 9 A 10 G 6 Simplify: 2y2 1 3 2y2 1 F 9 4y2 4y 1 G 9 4y2 3y 1 H 3 Copyright © Glencoe/McGraw-Hill E 10 Which of these is equivalent to (4mn6)2? E 8mn8 F 8m3n12 G 16m2n12 H 16mn12 AHSGE Practice and Sample Test Workbook 33 Name Date Standards Practice Basic Operations on Algebraic Expressions AHSGE I-4 Factor polynomials. 1 Factor: 16x2 16 A 16(x 1) B 16(x 1)(x 1) C 8(2x 1)(x 2) D 16(x 1)2 1 B 2 Factor: 4k2 25 E (2k 5)(2k 5) F (2k 5)2 G (4k 5)(k 5) H (4k 5)(k 5) 2 E 3 Factor: 3y(y 2) (y 2) A (3y 1)(y 2)2 B (3y 1)(y 2) C 3y(y 2) D 3y(y 2)2 3 B 4 Factor: (w 4) w2(w 4) E (1 w)(1 w)(w 4) F (1 w)2(w 4) G w2(w 4) H w2(w 4) 4 E 5 Factor: 3n3 15n2 18n A 3n(n 6)(n 1) B 3n(n 6)(n 1) C 3n(n 2)(n 3) D 3n(n 2)(n 3) 5 A 6 Factor: a2 9a 20 E (a 5)(a 4) F (a 10)(a 2) G (a 5)(a 4) H (a 10)(a 2) 6 G 34 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. Name Date Standards Practice Basic Operations on Algebraic Expressions AHSGE I-4 (continued) Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 Factor: t2 4t 12 A (t 2)(t 6) B (t 2)(t 6) C (t 4)(t 3) D (t 4)(t 3) 7 B 8 Factor: 3x2 11x 4 E (x 4)(3x 1) F (x 4)(3x 1) G (x 2)(3x 2) H (x 4)(3x 1) 8 E 9 Factor: 4p2 16p 15 A (4p 3)(p 5) B (4p 3)(p 5) C (2p 3)(2p 5) D (2p 3)(2p 5) 9 C 10 Factor: w4 19w2 48 E (w2 3)(w 4)(w 4) F (w2 3)(w 4)2 G (w2 3)(w 4)2 H (w2 3)(w 4)(w 4) 10 H 11 What is the greatest common factor of 12x2y and 8x2y3? A 2x2y3 B 4x2y C 4x2y3 D 2x2y 11 B 12 What is the greatest common factor of 18mn3 and 27m2n2? E 3m2n3 F 9m2n3 G 3mn2 H 9mn2 12 H AHSGE Practice and Sample Test Workbook 35 Name Date Standards Practice Solve Equations and Inequalities AHSGE II-1 Solve multi-step equations of first degree. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Solve: x 2 3x 18 A 8 B 4 C 5 D 8 1 2 Solve: 4m 6 3m 5 2 E 2 1 A 2 F 3 B 4 G 5 D 1 F 2 9 14 1 H 11 2 G 1 3x 6 4 3 Solve: 3 1 A 3 B 2 C 6 D 15 5x 1 3 4 Solve: 12 8 5 F 2 G 7 37 5 H x 2 x4 3 5 Solve: 4 5 8 B 5 A C 4 D 8 36 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E Name Date Standards Practice Solve Equations and Inequalities AHSGE II-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. y5 3 2y 1 4 6 Solve: 6 H 7 A 8 H 9 C 3 5 E F 2 23 10 17 H 2 G 7 Solve: 3(z 4) 12 A 8 16 B 3 8 C 3 D 0 8 Solve: 18 6(r 4) E 7 11 F Copyright © Glencoe/McGraw-Hill 3 7 G 3 H 1 9 Solve: 10 7y 9 A 7 19 7 1 C 7 B D 7 AHSGE Practice and Sample Test Workbook 37 Name Date Standards Practice Solve Equations and Inequalities AHSGE II-2 Solve quadratic equations that are factorable. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Solve: 25x2 1 0 1 B 2 G 3 B 4 G 1 1 A , 25 25 1 1 B , 5 5 C 5, 5 D 25, 25 2 Solve: w2 49 0 1 1 E , 49 49 1 1 F , 7 7 G 7, 7 H 49, 49 3 Solve: 4x2 11x 3 0 1 4 A 3, 1 4 1 C 3, 4 1 4 D 3, 4 Solve: x2 2x 3 0 1 E , 1 3 1 3 F 1, G 1, 3 H 3, 1 38 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill B 3, Name Date Standards Practice Solve Equations and Inequalities AHSGE II-2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 Solve: m(m 6) 4(m 6) 0 5 C 6 F 7 A 8 G 9 D 1 1 A , 6 4 1 1 B , 4 6 C 4, 6 D 6, 4 6 Solve: 10c2 15c 0 3 2 E 0, 3 2 F 0, G 10, 15 H 15, 10 7 Solve: 7x2 10x 8 A B C D 4 , 2 7 1 , 8 7 1 , 8 7 4 , 2 7 8 Solve: 6d 2 d 1 1 E , 1 6 1 6 Copyright © Glencoe/McGraw-Hill F , 1 1 1 G , 2 3 1 1 H , 2 3 9 Solve: 7n2 6 17n 1 7 A , 6 1 B , 6 7 3 7 C , 2 3 D , 2 7 AHSGE Practice and Sample Test Workbook 39 Name Date Standards Practice Solve Equations and Inequalities AHSGE II-3 Solve systems of two linear equations. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 What is the solution of the following system of linear equations? 1 D 2 F 3 C 4x y 9 3x 2y 4 A (2, 5) B (1, 13) C (1, 5) D (2, 1) 2 What is the solution of the following system of linear equations? y 2x 3x y 10 E (10, 20) F (2, 4) G (2, 4) H (10, 20) 3 Which of these graphs could be used to find the solution for the following system of equations? xy5 yx1 B y y x O (3, 2) (3, 2) O x C D y y O (3, 2) (3, 2) O 40 x AHSGE Practice and Sample Test Workbook x Copyright © Glencoe/McGraw-Hill A Name Date Standards Practice Solve Equations and Inequalities AHSGE II-3 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Which of these graphs could be used to find the solution for the following system of equations? 4 F 5 D 6 G 3x y 1 2x y 4 E F y y (1, 2) (1, 2) O x G H y O x (1, 2) x O y x O (1, 2) 5 What is the solution of the following system of linear equations? Copyright © Glencoe/McGraw-Hill 2x 3y 5 4x 6y 6 A B C D 32, 0 (0, 1) all real numbers no solution 6 What is the solution of the following system of linear equations? x 2y 5 3x 15 6y E (2, 5) F (1, 2) G all real numbers H no solution AHSGE Practice and Sample Test Workbook 41 Name Date Standards Practice Solve Equations and Inequalities AHSGE II-4 Solve multi-step inequalities of first degree. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Solve: 2x 4(x 2) 6 0 A x 7 B x 7 C x 1 D x 1 3 4 2 Solve: m 6 1 A 2 G 3 D 4 E 5 B 9 2 9 F m 2 E m 3 Solve: 4x 3 x 3 A x0 B x0 C x 2 D x 2 2 3 6 y 5 6 y 5 10 y 3 10 y 3 4 Solve: y y 2 E F G H 5 Solve: 2(x 1) 3(2 2x) A x 1 B x1 1 2 1 D x 2 C x 42 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill G m 8 H m 8 Name Date Standards Practice Solve Equations and Inequalities AHSGE II-4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 6 Solve: 4(n 3) 1 3 2(1 n) E n 2 F n 2 G n7 H n 7 3 5 7 Solve: w 3(w 2) 6 G 7 B 8 H 9 B 10 H 5 2 5 B w 2 A w 5 3 5 D w 3 C w 8 Solve: 6a 5 2a 3 1 4 1 F a 4 E a Copyright © Glencoe/McGraw-Hill G a2 H a2 9 Solve: 4 (2x 4) 5 (4x 3) A x 3 B x 3 C x 4 D x4 3 5 1 5 10 Solve: v 2 (v 10) E F G H v 5 v 5 v 0 v0 AHSGE Practice and Sample Test Workbook 43 Name Date Standards Practice Functions AHSGE III-1 Identify functions. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Which of these graphs represents a function? B y C D G x O B x x f (x ) 1 2 3 4 3 x f (x ) 1 2 3 4 4 3 4 4 F 2 1 H x f (x ) 1 2 3 4 2 3 4 5 x f (x ) 1 2 3 4 5 4 3 2 3 Which of these equations represents the data in the table? A y 2x 3 x y B y 2x 4 1 6 3 10 C y 4x 2 2 0 D y 4x 2 44 3 y 2 Which of these mappings is NOT a function? E F x x y O 2 y O O A AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill A 1 Name Date Standards Practice Functions AHSGE III-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 H 5 B 6 Which of the following relations describes a function? E {(2, 5), (4, 7), (5, 6), (2, 8)} F {(12, 8), (9, 12), (10, 9), (15, 2)} G {(7, 4), (8, 5), (8, 6), (7, 2)} H {(15, 15), (10, 8), (12, 17), (12, 15)} 6 F 7 Which of these equations represents the data in the table? A y x 5 x y B yx3 4 1 0 5 C yx5 6 11 D y x 3 7 A 4 Which of these functions describes the mapping below? E F G H x f (x ) 0 1 2 3 0 2 1 1 f(x) 2x 1 f(x) 2x 1 f(x) x 2 f(x) x 2 5 Which of these tables represents the function f(x) |x 2|? A x f(x) B x f(x) Copyright © Glencoe/McGraw-Hill C 3 2 1 0 5 4 3 2 x 3 2 1 0 f(x) 1 0 1 2 D 3 2 1 0 5 4 3 2 x 3 2 1 0 f(x) 1 0 1 2 AHSGE Practice and Sample Test Workbook 45 Name Date Standards Practice Functions AHSGE III-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 Which of these equations represents the data in the table? E y x 21 x y F yx3 2 1 2 11 G y 3x 5 4 17 H y 3x 7 8 G 9 Which of these graphs does NOT represent a function? 9 A 10 G A B y y O x x O C D y y O x O 10 Which of these mappings represents a function? E G 46 x f (x ) 2 1 0 1 3 0 4 5 x f (x ) 2 1 0 1 2 F H 0 1 AHSGE Practice and Sample Test Workbook x f (x ) 2 1 0 1 1 3 2 4 x f (x ) 2 1 0 1 3 5 1 2 Copyright © Glencoe/McGraw-Hill x Name Date Standards Practice Functions AHSGE III-2 Find the range of functions when given the domain. Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 What is the range of this function? {(2, 4), (2, 0), (3, 1), (3, 0)} A {0, 1, 4} B {3, 2, 2, 3} C {3, 2, 0, 1, 2, 3, 4} D {1, 4} 1 A 2 What is the range of y 2x2 1 if the domain is {1, 0, 3}? E {1, 3, 13} F {1, 3, 13} G {1, 3, 19} H {1, 3, 19} 2 G 3 If f(x) x2 4x 5, what is f(3)? A 16 B 13 C 1 D 2 3 D 4 What is the range of y = 4x2 2x 3 if the domain is {3, 2, 2}? E {45, 15} F {45, 23, 15} G {33, 23, 15} H {33, 15} 4 F 5 What is the range of this function? {(3, 5), (1, 4), (0, 3), (1, 5)} A {5, 3, 4, 5} B {3, 1, 0, 1} C {5, 3, 1, 0, 1, 3, 4, 5} D {3, 1, 1} 5 A AHSGE Practice and Sample Test Workbook 47 Name Date Standards Practice Functions AHSGE III-2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 6 What is the range of the function shown on the graph? 6 E 7 D 8 F y x O E F G H 0 y 4 0 y 2 2 y 4 0 y 5 7 What is the range of the function shown on the graph? y A B C D x 1 y 3 1 y 5 1 y 3 1 y 5 8 What is the range of this function? {(5, 7), (2, 5), (1, 8), (4, 7)} E F G H 48 {8, 5, 2, 4, 5, 7} {8, 5, 7} {8, 5, 2, 4} {8, 7, 5, 7} AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill O Name Date Standards Practice Apply Formulas AHSGE IV-1 Find the perimeter, circumference, area, or volume of geometric figures. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 What is the total surface area of the rectangular prism shown below? 1 D 2 G 3 B Use SA 2(wh lh lw). 5 cm 9 cm 5 cm A B C D 70 square centimeters 76 square centimeters 225 square centimeters 230 square centimeters 2 The dimensions of a rectangular baby pool are 25 feet by 30 feet. The pool is filled when there are 8 inches of water. What is the volume of water needed to fill the pool? Use V lwh. Copyright © Glencoe/McGraw-Hill E F G H 63 cubic feet 500 cubic feet 6000 cubic feet 864,000 cubic feet 3 What is the area of this figure? 1 2 Use A h(b1 b2). 8 in. 6 in. 15 in. A B C D 53 square inches 69 square inches 84 square inches 105 square inches AHSGE Practice and Sample Test Workbook 49 Name Date Standards Practice Apply Formulas AHSGE IV-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 A painter was hired to paint the walls of a room. The total perimeter of the room is 48 feet. Each wall is 8 feet tall and 12 feet wide. There are no windows in the room and the door is to be painted. What is the area that will be painted? 4 F 5 C 6 H Use A lw. E F G H 96 square feet 384 square feet 576 square feet 960 square feet 5 If a circular flower bed has a diameter of 18 feet, what is the area of the flower bed to the nearest square foot? Use A r2 and 3.14. A B C D 57 square feet 113 square feet 254 square feet 1017 square feet 6 A circular planetarium has a center stage with a 9 foot radius and five outer rings of circles of seats. Each ring of seats is 7 feet wide. What is the circumference of the largest circle? Copyright © Glencoe/McGraw-Hill Use C = 2r. E F G H 50 35 feet 44 feet 70 feet 88 feet AHSGE Practice and Sample Test Workbook Name Date Standards Practice Apply Formulas AHSGE IV-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 What is the area of the triangle shown in the diagram below? 7 C 8 F 9 D 1 2 Use A bh. 9m 20 m A B C D 180 square meters 110 square meters 90 square meters 55 square meters 8 What is the area of the parallelogram shown in the diagram below? Use A bh. 10 in. 8 in. 12 in. Copyright © Glencoe/McGraw-Hill E F G H 120 square inches 96 square inches 80 square inches 20 square inches 9 If a box shaped like a triangular pyramid has a base with area 48 square inches and a height of 1 foot, what is the volume of the box? Use V Bh. A B C D 48 cubic inches 57 cubic inches 144 cubic inches 576 cubic inches AHSGE Practice and Sample Test Workbook 51 Name Date Standards Practice Apply Formulas AHSGE IV-2 Find the distance, midpoint, or slope of line segments when given two points. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 The endpoints of PQ are (3, 6) and (1, 4). What are the coordinates of the midpoint of PQ ? x x 2 y y 2 1 1 2 , 2 Midpoint Formula: M A B C D 1 C 2 F 3 A (2, 5) (5, 1) (1, 5) (5, 2) 2 What is the distance between (5, 1) and (4, 2)? 2 2 Distance Formula: D (x2 x y2 y 1) ( 1) E F G H 45 310 103 9 10 3 What is the slope of the line shown in the graph? y y x2 x1 2 1 Slope Formula: m (3, 2) x O (1, 2) A 2 1 B 2 C 2 1 2 D 52 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill y Name Date Standards Practice Apply Formulas AHSGE IV-2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 What is the midpoint of segment HK shown in the graph? x x 2 y y 2 1 1 2 , 2 Midpoint Formula: M E F G H 4 E 5 D 6 E y (1, 2) (3, 3) (3, 3) (1, 2) H x O K 5 What is the length of segment WZ shown in the graph below? 2 2 Distance Formula: D (x2 x y2 y 1) ( 1) A B C D 25 510 255 55 y W O x Copyright © Glencoe/McGraw-Hill Z 6 The endpoints of AB are (5, 2) and (2, 7). What are the coordinates of the midpoint of AB ? x x 2 y y 2 1 1 2 , 2 Midpoint Formula: M E F G H 32, 52 32, 52 72, 92 72, 92 AHSGE Practice and Sample Test Workbook 53 Name Date Standards Practice Apply Graphing Techniques AHSGE V-1 and V-4 Graph or identify graphs of linear equations. Identify graphs of common relations. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Which of these equations represents the graph below? 1 D 2 G 3 C y x O y x yx y x y x2 2 Which of these graphs represents the equation y 3? y y E F x O x O y G O y H x O 3 What is the equation of the line shown in the graph at the right? A yx2 B y x 2 C y x 2 D yx2 54 AHSGE Practice and Sample Test Workbook x y O x Copyright © Glencoe/McGraw-Hill A B C D Name Date Standards Practice Apply Graphing Techniques AHSGE V-1 and V-4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 2 4 Which of these graphs represents the equation 2y x? E y (4, 4) F y 5 A x O (1, 4) (4, 4) G H y (1, 4) x O 4 y H (4, 4) (4, 1) O x x O (4, 1) (4, 4) 5 Which of these graphs represents the equation f(x) 2x 2? y y A B x Copyright © Glencoe/McGraw-Hill O C y O O D x y O x AHSGE Practice and Sample Test Workbook 55 Name Date Standards Practice Apply Graphing Techniques AHSGE V-1 and V-4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 3 6 Which of these graphs represents the equation y x 1? y E F x O y G 6 F 7 B 8 H y x O y H O x x O 7 Which of these equations represents the graph below? y A B C D x yx y x y x y x2 8 What is the equation of the line shown in the graph at the right? E y4 F yx G y x H x4 56 AHSGE Practice and Sample Test Workbook y O x Copyright © Glencoe/McGraw-Hill O Name Date Standards Practice Applying Graphing Techniques AHSGE V-2 Graph lines given certain conditions. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Which of these graphs represents a line passing through the points (3, 3) and (3, 1)? y y A B O y O F x x 2 Which of these graphs represents a line with x-intercept of 2 and y-intercept of 3? y y E F Copyright © Glencoe/McGraw-Hill 2 x y D O O x y G B x O C 1 O H x y x O O x AHSGE Practice and Sample Test Workbook 57 Name Date Standards Practice Applying Graphing Techniques AHSGE V-2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 2 3 Which of these graphs represents a line that has a slope of and 3 passes through (2, 2)? y y A B O D y 4 F x y x O x O 3 4 Which of these graphs represents a line that has a slope of and a 4 y-intercept of 2? y y E F x O G H y O y x O AHSGE Practice and Sample Test Workbook x Copyright © Glencoe/McGraw-Hill x O 58 A x O C 3 Name Date Standards Practice Applying Graphing Techniques AHSGE V-2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 Which of these graphs represents a line with x-intercept of 1 and y-intercept of 4? y y A B D y x x 2 6 Which of these graphs represents a line that has a slope of and a 5 y-intercept of 3? y y E F x O Copyright © Glencoe/McGraw-Hill O H y x y O O G y O G 6 x O O D x O C 5 x x AHSGE Practice and Sample Test Workbook 59 Name Date Standards Practice Applying Graphing Techniques AHSGE V-3 Determine solution sets of inequalities. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Which of these graphs represents the solution of 4 x 1 2? A 1 A 2 F 3 D 6 5 4 3 2 1 0 1 2 3 4 5 6 B C D 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 2 Which of these graphs represents the solution of x 2? E 6 5 4 3 2 1 0 1 2 3 4 5 6 F 6 5 4 3 2 1 0 1 2 3 4 5 6 H 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 3 Which of these graphs represents the solution of 7 2x 3 5? A 6 5 4 3 2 1 0 1 2 3 4 5 6 B C D 60 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill G Name Date Standards Practice Applying Graphing Techniques AHSGE V-3 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 Which of these graphs represents the solution of 4 x 3? E 4 G 5 D 6 F 6 5 4 3 2 1 0 1 2 3 4 5 6 F G H 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 5 Which of these graphs represents the solution of x 3? A 6 5 4 3 2 1 0 1 2 3 4 5 6 B C Copyright © Glencoe/McGraw-Hill D 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 Which of these graphs represents the solution of x 3 1? E 6 5 4 3 2 1 0 1 2 3 4 5 6 F G H 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 AHSGE Practice and Sample Test Workbook 61 Name Date Standards Practice Applying Graphing Techniques AHSGE V-3 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 Which of these graphs represents the solution of x 3 2 or 3x 3 6? A 7 C 8 E 9 B 6 5 4 3 2 1 0 1 2 3 4 5 6 B C D 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 8 Which of these graphs represents the solution of 3 3 x 2? E 6 5 4 3 2 1 0 1 2 3 4 5 6 F 6 5 4 3 2 1 0 1 2 3 4 5 6 H 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 9 Which of these graphs represents the solution of 2x 1 5 or 4 2x 2? A 6 5 4 3 2 1 0 1 2 3 4 5 6 B C D 62 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 6 5 4 3 2 1 0 1 2 3 4 5 6 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill G Name Date Standards Practice Represent Problem Situations AHSGE VI-1 Translate verbal or symbolic information into algebraic expressions; or identify equations or inequalities that represent graphs or problem situations. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Which of these equations represents this statement? 1 Twelve more than of a number x is equal to 16. A B C D 1 D 2 E 3 B 3 1 12 x 16 3 1 (12 x) 16 3 1 12 x 16 3 1 12 x 16 3 2 To make a costume, Robyn needs 3 feet of ribbon for every yard of material, plus one more foot of ribbon. Which of these equations represents this rule? E y 3x 1 x1 3 x G y 1 3 3x 1 H y 3 Copyright © Glencoe/McGraw-Hill F y 3 What is the equation of the line passing through the points (2, 5) and (4, 6)? A y 2x 1 1 2 B y x 4 1 2 C y x 6 D y 2x 9 AHSGE Practice and Sample Test Workbook 63 Name Date Standards Practice Represent Problem Situations AHSGE VI-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 What is the equation of the line shown in the graph below? 4 E 5 B 6 G y (1, 3) O E F G H (1, 1) x y 2x 1 y 2x 1 x1 y x 2 5 Which of these inequalities describes this graph? 6 5 4 3 2 1 0 1 2 3 4 5 6 4 x 3 4 x 3 4 x 3 4 x 3 6 Which of these statements is the same as x2 5x 2? E The sum of 2 times a number x and 5 times the number x is 2. F Five times a number x squared plus the number x is 2. G A number x squared plus 5 times the number x is 2. H Five times the sum of a number x squared and the number x is 2. 64 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill A B C D Name Date Standards Practice Represent Problem Situations AHSGE VI-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 What is the equation of the line shown in the graph below? 7 B 8 H 9 A y x O A y 4x 2 1 4 B y x 2 1 4 C y x 2 D y 4x 2 3 8 What is the equation of a line with slope that passes through 4 the point (4, 5)? 3 31 4 4 3 1 F y x 4 4 3 G y x 8 4 3 H y x 2 4 Copyright © Glencoe/McGraw-Hill E y x 9 What is the equation of a line with slope 2 that passes through the point (0, 4)? A y 2x 4 B y 2x 2 C y 2x 8 D y 2x AHSGE Practice and Sample Test Workbook 65 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-1 Apply properties of angles and relationships between angles. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 A convex polygon has 10 sides. What is the sum of the measures of the interior angles? A 1440° B 1629° C 1800° D 2440° 1 A 2 The measure of an angle in degrees is 3x. Which of these represents the measure of its supplement? E 90 3x F 180 3x G 3x 180 H 3x 90 2 F 3 Given: 1 and 2 are a linear pair. 3 C 4 F If m1 is twice m2, what is m1? A 30° B 60° C 120° D 160° 4 Given: p || q, m1 40°. What is m2? E 30° F 40° G 50° H 140° 66 1 2 m AHSGE Practice and Sample Test Workbook p q Copyright © Glencoe/McGraw-Hill 2 1 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 Given: Line m is parallel to line n. 5 B 6 H 7 A p 1 2 4 3 5 7 m 6 n 8 If m4 126°, what is the sum of m6 and m7? A 54° B 108° C 126° D 252° 6 In the diagram below, mAFB 40°, mAFD 130°, and mAFC 90°. C B A D F E Copyright © Glencoe/McGraw-Hill Which of these angles has the same measure as AFB? E CFE F DFE G BFC H CFD 7 What is the value of x? 60˚ 50˚ A B C D x˚ 110° 80° 60° 50° AHSGE Practice and Sample Test Workbook 67 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-1 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 What is the measure of the complement of an angle that measures 80°? E 10° F 80° G 100° H 140° 8 E 9 Lines XY and ZW intersect at point T. What is the measure of ZTY? 9 B 10 G 11 B X Z (2x 26)˚ T (4x 8)˚ W 120° 60° 50° 17° 10 Given: MN PQ , mMLQ (8x 42)°, mKLN (5x)°. What is the value of mMLH? E 20° F 25° G 30° H 60° M P L 3 4 A B C D 68 a b 56 20 5 4 AHSGE Practice and Sample Test Workbook Q K 11 Given: a || b, m3 (2x 16)° and m4 (3x 4)°. What is the value of x? c H N Copyright © Glencoe/McGraw-Hill A B C D Y Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-2 Apply Pythagorean Theorem. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 An 8-foot ladder is leaning against a wall. What is the distance x from the base of the wall to the bottom of the ladder? A 47 feet B 72 feet C 27 feet D 214 feet Copyright © Glencoe/McGraw-Hill 2 E 3 D wall 8 ft 6 ft x ft {5, 12, 13} {8, 12, 20} {9, 10, 15} {10, 13, 19} 3 Which of these sets of numbers could not be the lengths of the sides of a right triangle? A B C D C ladder 2 Which of these sets of numbers could be the lengths of the sides of a right triangle? E F G H 1 {6, 8, 10} {7, 24, 25} {11, 60, 61} {13, 15, 20} AHSGE Practice and Sample Test Workbook 69 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 What is the value of x in the right triangle below? 4 G 5 B 6 G 13 5 x E 297 F 194 G 12 H 72 6 What is the value of x in the right triangle below? 20 x 12 E F G H 70 434 8 16 16 34 AHSGE Practice and Sample Test Workbook pole X 48 ft Y 18 ft Copyright © Glencoe/McGraw-Hill 5 The diagram at the right shows a 48-foot pole. A support wire is connected from point X, halfway up the pole, to point Y. What is the length of the wire? A 45 feet B 30 feet C 18 feet D 16 feet Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-2 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 A 41-inch ramp leads from the sidewalk to the door. What is the distance x from the top of the ramp to the ground? A 1 inch B 2 inches C 3 inches D 9 inches 7 D 8 G 9 A door 41 in. x 40 in. 8 What is the value of x in the right triangle below? x 8 12 Copyright © Glencoe/McGraw-Hill E F G H 85 45 413 8 13 9 What is the value of x in the right triangle below? 15 6 x A B C D 321 621 37 97 AHSGE Practice and Sample Test Workbook 71 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-3 Apply properties of similar polygons. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 D 2 Which of these dimensions form a rectangle similar to a rectangle with a width of 3 centimeters and a length of 7 centimeters? E 15 centimeters by 35 centimeters F 9 centimeters by 13 centimeters G 9 centimeters by 49 centimeters H 3 centimeters by 14 centimeters 2 E 3 The playground in picnic area A at a state park is 120 feet long on each side. The playground in picnic area B at the same state park is 180 feet long on each side. What is the ratio of the area of the playground in picnic area A to the area of the playground in picnic area B? 3 B 1 If ABC FGH, which of these proportions is true? B G a c A f h b C F g H f g c f c B g b f h C g c f a D g b 9 A 4 4 B 9 2 C 3 3 D 2 72 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill b A Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-3 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 In the deck plan show below, figure YWZ is similar to figure XVZ. 4 F 5 C 6 H X Y 6 ft 12 ft 8 ft V W Z What is the length of segment XV? E 18 feet F 15 feet G 10 feet H 9 feet 5 If RSTUVW ABCDEF, what is the length of segment FE? R 10 S A 4 W T 8 B C F 6 V U E D 1 3 1 B 10 2 4 C 4 5 2 D 4 3 Copyright © Glencoe/McGraw-Hill A 13 6 Which of these dimensions form a right triangle similar to a right triangle with a height of 20 feet and a base of 15 feet? E 40 feet by 35 feet F 25 feet by 30 feet G 10 feet by 5 feet H 4 feet by 3 feet AHSGE Practice and Sample Test Workbook 73 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-3 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 Which of these dimensions would form a rectangle that is similar to a rectangle with sides measuring 35 42? A 10 12 B 7 6 C 6 8 D 5 2 7 A 8 If ABCDE JKLMN, what is the length of segment KL? 8 F 9 D B 12 K A C J L 9 E 8 D N 6 M E 16 F 9 3 4 1 H 5 3 9 If RSTU WXYZ, which of these proportions is true? R S W U T Z X Y RS XY A RU WX RS WX B RU YZ RS XY C RU YZ RS WX D RU WZ 74 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill G 6 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-4 Apply properties of plane and solid geometric figures. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 C 2 A box has a volume of 640 cubic centimeters, a height of 10 centimeters, and a square base. What is the length of a side of the base? E 8 centimeters F 16 centimeters G 32 centimeters H 64 centimeters 2 E 3 If the perimeter of the figure shown below is 59 inches, what is the value of x? 3 A 1 What is the area of a circle with d 6x 2? 6x 2 A B C D (6x 2) (12x 4) (9x2 6x 1) (36x2 24x 4) Copyright © Glencoe/McGraw-Hill 2x 4 3x x7 4x 2 A 5 34 B 5 C 59 36 D 5 AHSGE Practice and Sample Test Workbook 75 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 What is the area of the triangle XYZ? 4 F 5 C 6 E Y x X E F G H Z 6x 4 3x2 2 3x2 2x 3x2 4x 3x2 4 5 What is the measure of angle M in the figure below? N 8 in. 8 in. x˚ M P 60° 40° 30° 20° 6 A circular sundial has a circumference of 32 inches. What is the area of the sundial? E 256 square inches F 1024 square inches G 256 square inches H 1024 square inches 76 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill A B C D 4x˚ Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-4 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 C 8 A pond was dug in the shape of a circle with diameter d 8 feet. What is the approximate distance around the pond? E 13 feet F 25 feet G 50 feet H 201 feet 8 F 9 The perimeter of the rectangle shown below is 8x 4. The length of side YZ is 2x 3. What is the length of side XY? 9 A 7 How many square feet of tile are needed to cover the kitchen floor shown in the diagram below? 2 ft 3 ft Kitchen 12 ft 15 ft Copyright © Glencoe/McGraw-Hill A B C D 162 square feet 170 square feet 174 square feet 180 square feet X Y 2x 3 W A B C D Z 2x 1 4x 2 6x 1 6x 7 AHSGE Practice and Sample Test Workbook 77 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-5 Determine measures of central tendency. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Seven members of the baseball team took batting practice. Each member took 15 pitches. The number of pitches hit successfully is shown in the table below. 1 B 2 E 3 C 4 F BATTING PRACTICE RESULTS Team Member Successful Hits 1 10 2 9 3 12 4 13 5 8 6 14 7 11 What is the median number of successful hits? A 10 B 11 C 12 D 13 2 What is the mode of this set of data? 3, 4, 9, 7, 3, 9, 3 E F G H 3 4 7 9 3 What is the median of this set of data? A B C D 14.9 17.3 18.2 19.5 4 What is the mean of this set of data? 20, 25, 36, 42, 45, 18, 24, 35 E F G H 78 40.8 30.625 30 25 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill 14.9, 21.7, 12.5, 20.6, 13.8, 18.2, 19.5 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-5 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 5 The average low temperatures for a city during the month of July are shown in the table below. What is the mean of the average temperatures? 5 B 6 E AVERAGE LOW TEMPERATURES Year 1997 1998 1999 2000 2001 2002 A B C D Temperature 77° 79° 82° 77° 78° 81° 77° 79° 81° 82° 6 The frequency table shows the average number of hours students enrolled in piano lessons spent practicing the piano. What is the mode of the average hours? Copyright © Glencoe/McGraw-Hill WEEKLY AVERAGE HOURS SPENT PRACTICING Average Hours 1 2 3 4 5 6 Frequency 1 4 6 8 5 2 E 4 hours 1 2 1 G 4 hours 2 F 3 hours H 8 hours AHSGE Practice and Sample Test Workbook 79 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-5 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 Matt earned scores of 86, 90, 75, and 82 on his first four math tests. If Matt wants his mean test score to be 86 after five tests, what test score must he earn on his fifth test? A 97 B 87 C 86 D 84 7 A 8 The table below shows the number of points Adam scored in each game of a 5-game basketball tournament. 8 H 9 C Basketball Tournament Game Points 1 21 2 15 3 4 18 5 25 9 Karla earned $25, $34, $36, $24, and $38 on her first five baby-sitting jobs. If Karla wants the mean amount she earns after six baby-sitting jobs to be $31, what must she earn on the sixth job? A $25 B $28 C $29 D $31 80 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill If Adam’s mean number of points was 20, how many points did he score in the third game? E 18 F 19 G 20 H 21 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-6 Determine probabilities. Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 There are 12 girls and 9 boys in the debate club. If two debate club members are selected at random, what is the probability that the first member is a boy and the second member is a girl? 1 A 2 H 3 B 9 A 35 26 B 35 12 C 49 37 D 49 2 A jar contains 16 buttons—3 black, 4 white, and 9 red. One button is chosen from the jar, returned to the jar, and then another button is chosen. What is the probability that the first button selected will be white and the second button will be black? 7 E Copyright © Glencoe/McGraw-Hill 16 9 F 16 1 G 20 3 H 64 3 A bag contains 28 marbles—8 blue, 5 yellow, 6 red, and 9 green. If one marble is drawn at random, what is the probability that it is blue? 5 A 7 2 B 7 1 C 28 3 D 4 AHSGE Practice and Sample Test Workbook 81 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-6 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 4 In a group of 12 students, 2 were 14 years old, 3 were 15 years old, 4 were 16 years old, and 3 were 17 years old. If a student is chosen at random, what is the probability that the student is 15 years old or 17 years old? 4 E 5 C 6 H 1 E 2 1 F 3 1 G 4 1 H 6 5 Twenty chips are placed in a box—8 yellow, 10 blue, and 2 orange. In a random drawing, two chips are chosen without replacement. What is the probability that the first chip selected will be yellow and the second chip will be blue? 1 A 6 A drawer contains 12 socks—4 blue, 6 black, and 2 white. If one sock is drawn at random, what is the probability that it is not white? 1 E 6 1 F 3 1 G 2 5 H 6 82 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill 10 9 B 10 4 C 19 1 D 5 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-6 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 7 What is the probability of spinning a 1 on the spinner below? 3 4 1 7 C 8 E 2 2 1 3 4 4 3 2 1 1 A 2 1 B 3 1 C 4 1 D 12 8 The table shows the distribution of family members at a campout. To select the planning committee for the next campout, each person’s name is written on a slip of paper. Copyright © Glencoe/McGraw-Hill FAMILY MEMBERS AT REUNION Last Name Richardson Clark Morris Mudersbach Souder Total Attending Number of Members 10 4 5 7 9 35 If one slip of paper is drawn at random, what is the probability of selecting someone with a last name of Richardson or Morris? 3 E 7 4 F 7 1 G 2 2 H 49 AHSGE Practice and Sample Test Workbook 83 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-7 Solve problems involving direct variation. 1 In an equation, y varies directly with x. If x 5 when y 20, what is the value of x when y 100? A 1 B 25 C 85 D 4000 1 B 2 The average house cat’s heart beats about 110 times per minute. How many times would a cat’s heart beat in 120 seconds? E 220 F 240 G 12,000 H 13,200 2 E 3 A model car is built to a scale of 1:24. If the length of the model is 4 inches, what is the length of the actual car? A 6 feet B 8 feet C 12 feet D 96 feet 3 B 4 Greta would like to exchange 165 Canadian dollars for U.S. dollars. If 1 U.S. dollar is equal to 0.66 Canadian dollars, how many U.S. dollars will Greta receive? E $108.90 F $231.00 G $250.00 H $825.00 4 G 5 A painter can paint 20 square feet in 60 minutes. At this rate, how long will it take to paint 130 square feet? 5 D A B C D 84 1 43 minutes 3 65 minutes 120 minutes 390 minutes AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-7 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 6 A scale of a map is inch 50 miles. If two towns are located 4 inches 4 apart on the map, what is the actual distance between them? E 100 miles F 200 miles G 400 miles H 800 miles 6 H 7 The ratios required for a certain cookie recipe are 1 part milk to 2 parts sugar to 3 parts flour. If 4 cups of sugar are used, how much flour is needed? A 6 cups B 5 cups 7 A 8 G 9 B 1 2 3 1 D 1 cups 3 C 2 cups 8 A typist can type 70 words in 60 seconds. At this rate, how long will it take the typist to type 245 words? E 280 minutes F 210 minutes 1 2 1 H 2 minutes 2 Copyright © Glencoe/McGraw-Hill G 3 minutes 9 The ratios required for a certain potting soil mixture are 7 parts soil to 2 parts fertilizer. If 8 pounds of fertilizer are used, how much soil is needed? A 56 pounds B 28 pounds C 3 pounds 2 7 D 2 pounds AHSGE Practice and Sample Test Workbook 85 Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-8 Solve problems involving algebraic concepts. 1 Jeans cost $6.00 more than shorts. If Joan buys 2 pairs of jeans and 3 pairs of shorts for a total of $162, how much does one pair of jeans cost? A $31.20 B $33.60 C $34.80 D $36.00 1 D 2 Bryan is twice as old as Rita. The sum of their ages is 42. How old is Bryan? E 28 F 21 G 14 H 7 2 E 3 The area of a rectangular garden is 96 square feet. The width is 4 feet less than the length. What is the length of the garden? A 47 feet B 12 feet C 9.6 feet D 8 feet 3 B 4 The sum of three consecutive integers is 39. What is the value of the middle integer? E 15 F 14 G 13 H 12 4 G 5 Roger makes $4.00 per hour more than Gregg. If 2 times Roger’s rate plus 3 times Gregg’s rate is $38, what is Gregg’s hourly wage? A $12 B $10 C $8 D $6 5 D 86 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. Name Date Standards Practice Algebraic and Geometric Concepts AHSGE VII-8 (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 6 E 7 A new savings account was opened with a deposit of $6000. Part of the money earned 3% interest and the remainder earned 5%. The account earned a total of $264 in simple interest during one year. How much money was invested to earn 5% interest? A $1800 B $1820 C $4200 D $5000 7 C 8 The sum of two numbers is 36. The difference between five times the small number and the larger number is 12. What is the value of the smallest number? E 28 F 18 G 8 H 6 8 G 9 The volume of a rectangular casserole dish is 324 cubic inches. The dish is 3 inches deep and the length is 3 inches longer than the width. What is the width of the casserole dish? A 8 inches B 9 inches C 11 inches D 12 inches 9 B 6 Ms. Kerr drove from her home to her friend’s home at an average speed of 55 miles per hour. When she drove the same route on the return trip, 1 her average speed was 50 miles per hour, and the trip took hour 5 longer. What was Ms. Kerr’s total travel time? 1 5 4 F 3 hours 5 1 G 3 hours 5 1 H 2 hours 2 Copyright © Glencoe/McGraw-Hill E 4 hours AHSGE Practice and Sample Test Workbook 87 Name Date Sample Test Test Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 A 2 H 3 Simplify: (x 8)(x 8) I-3 A x2 64 B x2 16x 64 C x2 16x 64 D x2 3 A 4 Factor: 5x2 – 5 I-4 E 5(x 1) F 5(x 1) G 5(x 1)(x 1) H 5(x 1)(x 1) 4 G 1 The perimeter of the rectangle shown below is 8x 4. The length of side DC is 2x 2. What is the length of side AD? VII-4 A B D C A B C D 2x 3x 6x 2 3x 1 2 What is the value of x? VII-1 65˚ x˚ 88 35° 65° 80° 100° AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E F G H 35˚ Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. x3 2x 1 5 Solve: II-1 4 5 5 B 6 E 7 D 19 3 11 B 3 19 C 13 11 D 13 A 6 Which of these equations represents the graph below? V-4 y O Copyright © Glencoe/McGraw-Hill E F G H x y x y x2 y x yx 7 Which of these equations represents the data in the table? III-1 x 2 5 3 y 10 22 10 A yx8 1 2 B y x + 9 C y 2x 6 D y 4x 2 AHSGE Practice and Sample Test Workbook 89 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 8 Which of these graphs represents the solution of 8 3x 2 7? V-3 8 G 9 B 10 G 11 A E 654321 0 1 2 3 4 5 6 F 654321 0 1 2 3 4 5 6 G H 654321 0 1 2 3 4 5 6 654321 0 1 2 3 4 5 6 9 Simplify: 4w 2z (w 3z) I-1 A 5w 5z B 3w 5z C 3w z D 4w 5z 10 What is the mode of this set of data? VII-5 4, 6, 9, 4, 2, 4, 6 9 6 4 2 11 What is the value of x in the right triangle below? VII-2 14 8 x A B C D 90 233 23 10 6 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E F G H Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 12 Which of these graphs represents the solution of x 3 2? V-3 E F G H 12 E 13 B 14 H 15 B 654321 0 1 2 3 4 5 6 654321 0 1 2 3 4 5 6 654321 0 1 2 3 4 5 6 654321 0 1 2 3 4 5 6 13 What is the solution of the following system of linear equations? II-3 y 2x 4x y 10 5 10 A , 3 3 B (5, 10) C (5, 10) D (2, 4) 14 Given: a || b, m1 60°. What is m2? VII-1 c 1 Copyright © Glencoe/McGraw-Hill 2 E F G H a b 30° 40° 60° 120° 15 Solve: x 4 5x 16 II-1 A 4 B 3 C 3 D 4 AHSGE Practice and Sample Test Workbook 91 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 16 Nick earned scores of 85, 90, 82, and 73 on his first four history tests. If Nick wants his mean test score to be 86 after five tests, what test score must he earn on his fifth test? VII-5 E 100 F 90 G 80 H 70 16 E 17 What is the equation of the line shown in the graph below? V-1 17 D 18 F 19 A y O x A y 3 C y x B y x D x 3 18 If a circular rug has a diameter of 8 feet, what is the area of the rug to the nearest square foot? IV-1 Use A r2 and 3.14. 25 square feet 50 square feet 226 square feet 452 square feet 19 Which of these graphs represents the solution of x 3? V-3 A B C D 92 654321 0 1 2 3 4 5 6 654321 0 1 2 3 4 5 6 654321 0 1 2 3 4 5 6 654321 0 1 2 3 4 5 6 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E F G H Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 20 F 21 The measure of an angle in degrees is 4x. Which of these represents the measure of its supplement? VII-1 A 90 4x B 180 4x C 4x 180 D 4x 90 21 B 22 Which of these equations represents the graph at the right? V-4 E y x F y x G yx H y x2 22 H 23 C 20 Which of these graphs represents the equation f(x) x 4? V-1 E F y y x x O G Copyright © Glencoe/McGraw-Hill y H y O O x O x y O x 23 The area of a rectangular patio is 216 square feet. The length is 6 feet less than twice the width. What is the width of the patio? VII-8 A 9 feet B 10 feet C 12 feet D 18 feet AHSGE Practice and Sample Test Workbook 93 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 24 F 25 A scale drawing is drawn to a scale of 1 : 5. If the length of the actual object is 10 feet, what is the length of the scale drawing? VII-7 A 2 inches B 20 inches C 24 inches D 50 inches 25 C 26 Twenty-five tiles are placed in a box—7 white, 10 yellow, and 8 red. In a random drawing, two tiles are chosen without replacement. What is the probability that the first tile selected will be red and the second tile will be white? VII-6 26 E 27 C 24 Solve: 2(m 4) 2 4(2m 3) II-4 E m2 F m 3 7 6 G m 7 6 H m 75 68 F 75 56 G 625 569 H 625 27 Which of these inequalities describes this graph? VI-1 654321 0 1 2 3 4 5 6 A B C D 94 1 x 5 1 x 5 1 x 5 1 x 5 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill 7 E Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 28 Which of these graphs represents the equation y 4? V-1 y E y G O 29 What is the area of triangle ABC? VII-4 A 4x2 8x B 4x2 4x C 2x2 8x D 2x2 4x 3x 5 30 Solve: 5 II-1 4 D 30 F 31 D y H x 29 x O x F y F O 28 O x B x A 4x 8 C 25 E Copyright © Glencoe/McGraw-Hill 3 F 5 G 12 H 18 31 Solve: 5a 1 4a 7 II-4 2 3 2 B a 3 A a C a8 D a8 AHSGE Practice and Sample Test Workbook 95 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 32 G 33 A 34 Which of the following relations describes a function? III-1 E {(7, 8), (1, 4), (1, 8), (1, 4)} F {(2, 1), (4, 5), (3, 2), (2, 0)} G {(6, 3), (5, 4), (5, 1), (3, 2)} H {(8, 1), (7, 4), (7, 4), (8, 5)} 34 H 35 What is the equation of a line with slope 2 that passes through the point (0, 4)? VI-1 A y 4x 2 B y 4x 2 C y 2x 4 D y 2x 4 35 C 32 Which of these graphs represents a line with x-intercept of 2 and y-intercept of 2? V-2 E F y G H y O x O x O y x y O x 33 Solve: 6y – 3( y 2) 5 0 II-4 1 3 B y 3 1 3 C y 96 D y3 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill A y Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 36 Simplify: 3 4 9 7 I-1 E 3 F 5 G 15 H 23 36 F 37 Which of these tables represents the function f(x) x 8? III-1 A x f(x) B x f(x) 37 A 38 A convex polygon has 14 sides. What is the sum of the measures of the interior angles? VII-1 E 1980° F 2160° G 2520° H 2340° 38 F 39 If f(x) 4x2 3x – 2, what is f(4)? III-2 A 18 B 50 C 46 D 78 39 D Copyright © Glencoe/McGraw-Hill C 3 2 1 0 11 10 9 8 x 3 2 1 0 f(x) 5 6 7 8 3 11 2 10 1 9 0 8 D x 3 2 1 0 f(x) 5 6 7 8 AHSGE Practice and Sample Test Workbook 97 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 40 What is the slope of the line shown in the graph? IV-2 y2 y1 Slope Formula: m x2 x1 40 F 41 B 42 F y (3, 0) O x (3, 2) E 3 1 3 F 1 G 4 H 4 41 In a group of 30 people, 8 have blonde hair, 6 have black hair, 12 have brown hair, and 4 have red hair. If a person is chosen at random, what is the probability that the person has blonde hair or red hair? VII-6 15 2 B 5 3 C 5 13 D 15 1 1 1 42 Simplify: 2r 3r s s I-2 3 6 2 E r F r 1 4 G r s H rs 98 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill 2 A Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 43 B 44 Factor: 2x(x 4) (x – 4) I-4 E (2x 1)(x – 4)2 F (2x 1)(x – 4) G 2x(x – 4) H 2x(x – 4)2 44 F 45 The endpoints of MP are (5, 2) and (8, 1). What are the coordinates of the midpoint of MP ? IV-2 45 A 3 43 Which of these graphs represents a line that has a slope of and 2 passes through (4, 2)? V-2 y y A B C D y x O Copyright © Glencoe/McGraw-Hill O x O y O x x 2 x x y y 2 1 1 2 , 2 Midpoint Formula: M 3 1 A , B C D 2 2 13 3 , 2 2 3 1 , 2 2 13 3 , 2 2 AHSGE Practice and Sample Test Workbook 99 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 46 The sum of three consecutive integers is 111. What is the value of the greatest integer? VII-8 E 36 F 37 G 38 H 39 46 G 47 Solve: 49x2 – 1 0 II-2 47 B 48 E 49 B 1 1 A , 49 49 1 1 B , 7 7 C 7, 7 D 49, 49 48 If ABCDEF JKLMNO, what is the length of segment JK? VII-3 B 9 C 9 K 9 A D L J M 6 9 9 F 9 O N E 1 2 2 H 3 G 1 49 What is the range of this function? III-2 {(2, 6), (3, 1), (4, 5), (2, 3)} A B C D {4, 2, 2, 3} {3, 1, 5, 6} {4, 1, 5, 6} {4, 3, 2, 1, 2, 3, 5, 6} 100 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E 6 F 4 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 50 Which of these graphs represents the solution of x – 2 1 or 3x 16 10? V-3 50 E 51 C 52 G 53 C E 654321 0 1 2 3 4 5 6 F 654321 0 1 2 3 4 5 6 G 654321 0 1 2 3 4 5 6 H 654321 0 1 2 3 4 5 6 51 Which of these equations represents the graph below? V-4 y x O Copyright © Glencoe/McGraw-Hill A B C D y x y x y x y x2 52 Which of these statements is the same as n2 6n 2? VI-1 E The sum of 2 times a number n and 6 times the number n is 2. F Six times a number n squared plus the number n is 2. G A number n squared plus 6 times the number n is 2. H Six times the sum of a number n squared and the number n is 3. 2b 6b 53 Simplify: 5b 2 I-1 4 A B C D 6b 2 7b 2 4b 2 5b 2 AHSGE Practice and Sample Test Workbook 101 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 54 E 55 A box has a volume of 864 cubic inches, a height of 6 inches, and a square base. What is the length of a side of the base? VII-4 A 72 inches B 24 inches C 12 inches D 6 inches 55 C 1 56 Which of these graphs represents the equation y x 2? V-1 56 E 54 What is the value of x in the right triangle below? VII-2 x 8 16 85 165 24 4 2 E O G F y x O x O H y y x 102 AHSGE Practice and Sample Test Workbook y O x Copyright © Glencoe/McGraw-Hill E F G H Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 2 3w 4w 57 Simplify: I-3 2 16 21 57 D 58 F 59 C 60 F w A 14 w2 B 28 w3 C 14 w3 D 28 58 What is the median of this set of data? VII-5 17.4, 26.2, 20.3, 19.9, 24.8, 23.5, 14.1 E F G H 21.9 20.3 20.1 19.9 59 What is the area of the parallelogram shown in the diagram below? Use A bh. IV-1 5.8 in. 5 in. Copyright © Glencoe/McGraw-Hill 7 in. A B C D 17.5 square inches 29 square inches 35 square inches 40.6 square inches 60 Factor: 5x2 3x 2 I-4 E (5x 1)(x – 2) F (5x 2)(x 1) G (5x 1)(x 1) H (5x 1)(x – 2) AHSGE Practice and Sample Test Workbook 103 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 61 C 62 What is the range of y 2x2 3 if the domain is {4, 0, 1}? III-2 E {3, 1, 29} F {19, 3, 1} G {32, 3, 1} H {3, 1, 13} 62 E 63 The endpoints of RS are (5, 3) and (5, 5). What are the coordinates of the midpoint of RS? IV-2 63 B 64 F 61 Which of these graphs represents a function? III-1 y A y B O x x O y C O y D x O x x 2 x y y 2 A B C D (0, 4) (5, 1) (5, 4) (0, 1) 64 Solve: r(r 1) – 2(r 3) 0 II-2 1 1 E , 2 3 1 1 G , 3 2 F 3, 2 H 2, 3 104 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill 1 1 2 , 2 Midpoint Formula: M Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 65 There are 18 girls and 12 boys on student council. If two student council members are selected at random, what is the probability that the first member is a boy and the second member is a boy? VII-6 65 C 66 F 67 B 481 A 625 144 B 625 22 C 145 123 D 145 66 What is the area of the triangle shown in the diagram below? IV-1 1 2 Use A bh. 5m 8m Copyright © Glencoe/McGraw-Hill E F G H 40 square meters 20 square meters 13 square meters 6.5 square meters 67 A box contains 16 balls—2 purple, 8 green, and 6 red. One ball is chosen from the box, returned to the box, and then another ball is chosen. What is the probability that the first ball selected will be purple and the second ball will be red? VII-6 1 A 20 3 B 64 19 C 20 61 D 64 AHSGE Practice and Sample Test Workbook 105 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 68 G 69 Which of these is equivalent to (3xy5)2? I-3 A 9xy10 B 9x2y10 C 6x2y10 D 6xy10 69 B 70 What is the equation of the line shown in the graph below? VI-1 70 H 71 A 68 What is the equation of the line passing through the points (2, 1) and (3, 9)? VI-1 1 2 1 F y x 2 E y x 2 G y 2x 3 H y 2x 5 y (3, 3) x O (3, 1) 3 2 3 2 F y x 1 2 3 G y x 1 2 3 H y x 1 71 Solve: 4x2 8x 0 II-2 A 0, 2 B 2, 0 C 2, 4 D 2, 4 106 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill E y x 1 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 72 E 73 C 74 Simplify: 12 23 4 (3 2) I-1 E 120 F 90 G 74 H 4.8 74 E 3 75 Solve: x x 2 II-4 75 C 72 Solve: 2n2 n 15 II-2 5 2 5 F , 2 1 G , 3 E , 3 1 3 5 2 5 H 3, 2 73 What is the solution of the following system of linear equations? II-3 2x 6y 10 x 3y 5 A , 5 4 5 4 Copyright © Glencoe/McGraw-Hill B (5, 0) C all real numbers D no solution A x B x C x D x 4 7 2 7 2 8 7 8 7 AHSGE Practice and Sample Test Workbook 107 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 76 A new savings account was opened with a deposit of $7500. Part of the money earned 3% interest and the remainder earned 4%. The account earned a total of $275 in simple interest during one year. How much money was invested to earn 3% interest? VII-8 E $100 F $2500 G $5000 G $7400 76 F 77 Which of these graphs could be used to find the solution for the following system of equations? II-3 77 C 78 Factor: x2 6x 16 I-4 E (x 8)(x 2) F (x 8)(x – 2) G (x 8)(x 2) H (x 8)(x – 2) 78 G 79 Simplify: (2a3)(b2) (4a3)(2b2) I-3 A 10a3b2 B 6a3b2 C 6a3b2 D 10a3b2 79 B xy3 yx1 y A B y (2, 1) x x C O y D y (2, 1) O (2, 1) O x 108 AHSGE Practice and Sample Test Workbook (2, 1) x Copyright © Glencoe/McGraw-Hill O Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 80 Which of these sets of numbers could be the lengths of the sides of a right triangle? VII-2 E {4, 9, 10} F {9, 13, 15} G {10, 15, 20} H {12, 35, 37} 80 H 81 In the garden plan shown below, figure MNR is similar to figure MPQ. VII-3 81 B 82 E 2.2 ft P N 8.6 ft 12 ft M R Q What is the length of segment NR rounded to the nearest foot? A B C D 3 feet 10 feet 15 feet 47 feet 82 What is the range of the function shown on the graph? III-2 Copyright © Glencoe/McGraw-Hill y O E F G H x 0y3 0y4 3y4 0y7 AHSGE Practice and Sample Test Workbook 109 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 83 A 90-inch ramp leads from the sidewalk to the door. What is the distance x from the top of the ramp to the ground? VII-2 A 10 inches 17 inches B 10 145 inches C 10 10 inches D 17 2 84 G 85 C 80 in. 2 3 B 90 in. x 2c c 3c c 84 Simplify: I-2 2 83 4 5c E 12 17c2 7c F 12 17c2 c G 12 5c2 H 7 85 Which of these graphs represents a line passing through the points (3, 3) and (3, 1)? V-2 x O C B x O y D y O y x 110 AHSGE Practice and Sample Test Workbook O x Copyright © Glencoe/McGraw-Hill y A Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 86 In an equation, y varies directly with x. If x 5 when y 12, what is the value of x when y 48? VII-7 E 4.4 F 20 G 52 H 160 86 F 87 Solve: 10 5(v – 1) II-1 87 C 88 H 89 C 1 3 A B 1 C 1 D 3 88 Which of these equations represents this statement? VI-1 1 3 Five less than of a number n is equal to four. E 13 5x 4 1 F n 5 4 Copyright © Glencoe/McGraw-Hill 3 1 G (x 5) 4 3 1 H n 5 4 3 89 What is the solution of the following system of linear equations? II-3 5x y 2 2x y 3 1 7 A , 3 3 B (4, 5) 5 11 C , 7 7 D (2, 1) AHSGE Practice and Sample Test Workbook 111 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 90 A scale of a map is inch 50 miles. If two towns are located 4 inches 4 apart on the map, what is the actual distance between them? VII-7 E 100 miles F 200 miles G 400 miles H 800 miles 90 H 91 What is the total surface area of the rectangular prism shown below? IV-1 91 C 92 Simplify: 7x2 5xy 8x2 3xy I-2 E 15x4 – 8x2y2 F x4 – 2x2y2 G 15x2 – 8xy H x2 – 2xy 92 H 93 A circular table top has a circumference of 2 feet. What is the area of the table top? VII-4 A 1 square foot B 4 square feet C square feet D 4 square feet 93 C Use SA 2(wh h w). 12 8 52 362 392 480 112 AHSGE Practice and Sample Test Workbook Copyright © Glencoe/McGraw-Hill A B C D 5 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 94 What is the mean of this set of data? VII-5 94 G 95 D 96 E 97 A 45, 72, 35, 48, 59, 38, 18, 32 E F G H 45 41.5 43.375 49.6 95 What is the distance between (3, 6) and (2, 6)? IV-2 Distance Formula: D ( x2 x1)2 ( y2 y1)2 A B C D 1 6 12 13 96 If DEF HJK, which of these proportions is true? VII-3 E J f d h k D e F H j K f e j f h F e j f k G e h f h H e d Copyright © Glencoe/McGraw-Hill k E 97 Brenda is four times as old as Trina. The sum of their ages is 40. How old is Brenda? VII-8 A 32 B 22 C 8 D 5 AHSGE Practice and Sample Test Workbook 113 Name Date Sample Test Test Practice (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 98 H Which of these dimensions form a rectangle similar to a rectangle with a width of 5 meters and a length of 15 meters? VII-3 A 1 meter by 3 meters B 3 meters by 13 meters C 10 meters by 20 meters D 12 meters by 22 meters 99 A 100 A walker can walk 2 miles in 40 minutes. At this rate, how long will it take to walk 5 miles? VII-7 E 60 minutes F 80 minutes G 90 minutes H 100 minutes 100 H 1 Which of these graphs represents a line that has a slope of and a 2 y-intercept of 4? V-2 E x O G y x O y H y O 99 F y x 114 AHSGE Practice and Sample Test Workbook O x Copyright © Glencoe/McGraw-Hill 98

© Copyright 2020