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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
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98