NJ ASK8 Mathematics 4th edition w/TestWare on CD-Rom


NJ ASK Grade 8 Mathematics with Timed Exams on CD
Completely aligned with the New Jersey Core Curriculum Content Standards

REA helps Grade 8 students get ready for the NJ ASK Grade 8 Mathematics exam!

  • Provides the NJ ASK8 math instruction and practice students need to excel on the test
  • Students at all ...
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NJ ASK Grade 8 Mathematics with Timed Exams on CD
Completely aligned with the New Jersey Core Curriculum Content Standards

REA helps Grade 8 students get ready for the NJ ASK Grade 8 Mathematics exam!

  • Provides the NJ ASK8 math instruction and practice students need to excel on the test
  • Students at all levels will benefit from the many lessons and examples in this book
  • Diagnostic test and full-length NJ ASK8 Math exam measure learning and progress
  • CD includes diagnostic test and a full-length practice exam with automatic scoring, timed testing conditions, and detailed on-screen explanations of answers
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Product Details

  • ISBN-13: 9780738608778
  • Publisher: Research & Education Association
  • Publication date: 11/28/2010
  • Series: New Jersey ASK Test Preparation Series
  • Edition description: Fourth
  • Edition number: 4
  • Pages: 384
  • Age range: 13 years
  • Product dimensions: 8.40 (w) x 10.90 (h) x 1.10 (d)

Meet the Author

Mel Friedman is Lead Mathematics Editor at REA. After teaching mathematics at the high school level for twelve years, he went on to teach at a number of colleges and universities, the most recent being Kutztown University in Kutztown, Pa. and West Chester University in West Chester, Pa. In addition to his work as a math consultant, he served as a test-item writer for Educational Testing Service and ACT, Inc. He received a Bachelor of Arts degree in math from Rutgers University, and an M.S. in math from Fairleigh Dickinson University.

Stephen Hearne is a professor at Skyline College in San Bruno, California, where he teaches Quantitative Reasoning. He earned his Ph.D. degree from the University of Mississippi in 1998, specializing in Quantitative Psychology. For the past twenty years, Dr. Hearne has tutored students of all ages in math, algebra, statistics, and test preparation. He prides himself in being able to make the complex simple.

Penny Luczak received her B.A. in Mathematics from Rutgers University and her M.A. in Mathematics from Villanova University. She is currently a full-time faculty member at Camden County College in New Jersey. She previously worked as an adjunct instructor at Camden County College as well as Burlington County College and Rutgers University.

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Read an Excerpt


About this book and testWare®

This book, along with REA’s exclusive TestWare® software,
provides targeted preparation for the New Jersey ASK8 Mathematics
Test. Inside, you will find reviews that are designed to provide you with
the information and strategies needed to do well on this exam. We also
provide a full-length practice test, so you can get a good idea of what
you’ll be facing on test day. Detailed explanations follow the practice
test. We show you how to solve each problem. We also provide full
explanations for the answers to the diagnostic test.

Both the diagnostic test and full-length practice test are also
provided in our TestWare®. We recommend that you begin your preparation
by first taking the diagnostic test on your computer. The software
provides timed conditions and instantaneous, accurate scoring that
makes it easier to pinpoint your strengths and weaknesses.

About the Test
Since 1991, the New Jersey Department of Education has administered
an eighth-grade assessment to determine how well a student
is advancing and whether the student is on course to perform well on the
High School Proficiency Assessment (HSPA).
In 2008, the NJ Assessment of Skills and Knowledge (ASK) 8 officially
replaced the Grade Eight Proficiency Assessment (GEPA) as the standard.
It is one of the key tools used to identify students who need additional instruction to
master the knowledge and skills detailed in the Core Curriculum Content
Standards, those standards which guide education in New Jersey.

The NJ ASK 8 tests your mastery of the four mathematics content
areas of the New Jersey Core Curriculum Standards.

HOW TO USE this book and testWare®

What do I study first?
First, take the diagnostic test on CD-ROM to determine your
strengths and weaknesses. Next, study the course review material,
focusing on your specific problem areas.

The NJ ASK8 four-choice format is accurately reflected in all
of our drills and in the practice test, which you’ll find in the back of
this book. Our practice test is designed to capture the spirit of the NJ
ASK8, providing you with an experience that mimics the administration
of the exam.

When should I start studying?
It is never too early to start studying for the exam. The earlier
you begin, the more time you will have to sharpen your skills. Do not
procrastinate! Cramming is not an effective way to study, since it does
not allow you the time needed to learn the test material. The sooner you
learn the format of the exam, the more time you will have to familiarize
yourself with the exam content.

About the Review Sections
The review sections in this book are designed to help you
sharpen the basic skills needed to approach the exam, as well as to
provide strategies for attacking each type of question. You will also find
exercises to reinforce what you have learned. By using the reviews in
conjunction with the drills and practice test, you will put yourself in a
position to succeed on the exam.

Test-Taking tips
There are many ways to acquaint yourself with this type of examination
and help alleviate your test-taking anxieties. Listed below
are ways to help yourself.

Become comfortable with the format. When you are practicing,
simulate the conditions under which you will be taking the actual
test. Take the practice test in a quiet room, free of distractions. Stay
calm and pace yourself. After simulating the test only a couple of times,
you will boost your chances of doing well, and you will be able to sit
down for the actual exam with much more confidence.

Read all of the possible answers. Just because you think you
have found the correct response, do not automatically assume that it is
the best answer. Read through each choice to be sure that you are not
making a mistake by jumping to conclusions.

Use the process of elimination. Go through each answer to a
question and eliminate those that are obviously incorrect. By eliminating
two answer choices, you can vastly improve your chances of getting
the item correct, since there will only be two choices left from which to
make your guess. It is recommended that you attempt to answer each
question, since your score is calculated based on how many questions
you get right, and unanswered or incorrectly answered questions receive
no credit.

Work quickly and steadily. You have a limited time to work
on each section, so avoid focusing on any one problem for too long.
However, you should never rush. Rushing leads to careless errors.
Taking the practice test in this book will help you learn to budget your

Learn the directions and format for the test. Familiarizing
yourself with the directions and format of the test will not only save
time but will also help you avoid anxiety (and the mistakes caused by
getting anxious).

Work on the easier questions first. If you find yourself working
too long on one question, make a mark next to it on your test booklet
and continue. After you have answered all of the questions that you
can, go back to the ones you have skipped.

Avoid errors when indicating your answers on the answer
sheet. Since the multiple-choice sections will be graded by machine,
marking one answer in the wrong place can throw off your answer key
and your score. Be extremely careful. Make sure that you are answering
the correct question by keeping tabs on the question numbers.

Eliminate obvious wrong answers. This ties in with using the
process of elimination. Sometimes a question will have one or two
answer choices that are a little odd. These answers will be obviously
wrong for one of several reasons: they may be impossible given the
conditions of the problem, they may violate mathematical rules or
principles, or they may be illogical. Being able to spot obvious wrong
answers before you finish a problem gives you an advantage because
you will be able to make a better educated guess from the remaining
choices even if you are unable to fully solve the problem.

Work from answer choices. One of the ways you can use a
multiple-choice format to your advantage is to work backward from the
answer choices to solve a problem. This is not a strategy you can use all
the time, but it can be helpful if you can just plug the choices into a given
statement or equation. The answer choices can often narrow the scope of
responses. You may be able to make an educated guess after eliminating
choices that you know do not fit into the problem.

The Day of the Test

Before the Test
On the day of the test, you should wake up early (hopefully, after
a decent night’s rest) and have a good breakfast. Make sure to dress
comfortably, so that you are not distracted by being too hot or too cold
while taking the test. Also plan on arriving at school early. This will
allow you to collect your thoughts and relax before the test, and will
also spare you the anguish that comes with being late.

During the Test
Follow all of the rules and instructions given by your teacher or
test supervisor.

When all of the test materials have been passed out, you will
receive directions for filling out your answer sheet. You must fill out
this sheet carefully since this information will be printed on your score
report. Fill out your name exactly as it appears on your identification
documents, unless otherwise instructed.

You can write in your test booklet or on scratch paper, which will
be provided. However, you must be sure to mark your answers in the
appropriate spaces in the answer folder. Each numbered row will contain
four ovals corresponding to each answer choice for that question. Fill in
the oval that corresponds to your answer darkly, completely, and neatly.

You can change your answer, but be sure to completely erase your old
answer. Only one answer should be marked. This is very important, as
your answer sheet will be machine-scored and stray lines or unnecessary
marks may cause the machine to score your answers incorrectly.


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Table of Contents

About This Book and TestWare 
About the Test
Use of Calculators
How to Use This Book and TestWare
About the Review Sections
Test-Taking Tips
The Day of the Test
Chapter 1 Number and Numerical Operations
Standard 4.1.8

Integers and Real Numbers
Absolute Value
Positive and Negative Numbers
Order of Operations
Drill: Integers and Real Numbers
Operations with Fractions
Drill: Fractions

Operations with Decimals
Drill: Decimals

Ratio and Proportion
Equivalent Forms of a Number
Drill: Percentages
Comparing Sizes of Numbers in Decimal/Fraction Form
Drill: Comparing Sizes of Numbers in Decimal/Fraction Form

Drill: Radicals
General Laws of Exponents
Power to a Power
Drill: Exponents
Scientific Notation
Numerical Operations Drills Answer Key

Chapter 2 Geometry and Measurement
Standard 4.2.8

Points, Lines, and Angles
Intersection Lines and Angles
Types of Angles
Perpendicular Lines
Parallel Lines
Drill: Lines and Angles
Drill: Triangles
The Pythagorean Theorem
Drill: Quadrilaterals

Regular Polygons
Drill: Regular Polygons

Drill: Circles
Composite Geometric Figures
Drill: Composite Geometric Figures

Similar Polygons
Scale Drawings
Drill: Similar Polygons

Drill: Transformations

Geometric Constructions
Surface Areas and Volumes
Drill: Surface Areas and Volumes
Drill: Nets and Planes
Coordinate Geometry
Drill: Coordinate Geometry
Drill: Measurement

Geometry Drills Answer Key

Chapter 3 Patterns and Algebra
Standard 4.3.8

Algebraic Expressions
Drill: Algebraic Expressions
Operations with Polynomials
Drill: Operations with Polynomials

Properties of Real Numbers
Commutative Laws
Associative Laws
Distributive Law
Drill: Properties of Real Numbers

Linear Equations
Properties of Lines and their Equations
Drill: Linear Equations

Absolute Value Equations
Drill: Absolute Value Equations

Linear Inequalities
Properties of Inequalities
Drill: Inequalities

Systems of Linear Equations
Drill: Systems of Linear Equations

Linear Functions
Drill: Linear Functions
Non-Linear Functions
Drill: Non-Linear Functions

Arithmetic Sequences
Geometric Sequences
Drill: Sequences

Algebra Drills Answer Key
Chapter 4 Data Analysis , Probability and Discrete Mathematics
Standard 4.4.8
Graphical Displays of Data
Pie Graphs
Bar Graphs
Time Series Graphs
Scatter Plots
Stem and Leaf Plots
Box-and-Whiskers Plot
Drill: Graphical Displays of Data

Measures of Central Tendency
Drill: Measures of Central Tendency

Probability Basics
Sample Spaces
Theoretical Probability
Experimental Probability
Drill: Probability Basics

Compound Events
Independent Events
Dependent Events
Drill: Compound Events

Counting Methods
Fundamental Counting Principle
Drill: Counting Methods

Venn Diagrams
Drill: Venn Diagrams  Expected Value

Drill: Expected Value

Line of Best Fit
Drill: Line of Best Fit
Graph Theory
Drill: Graph Theory

Data Analysis, Probability, and Discrete Mathematics Drills Answer Key

Chapter 5 Mathematical Processes
Standard 4.5.8

General Number Problems
Basic Integer Problems
Applications to Real-Life Situations
Rate, Time, Distance
Geometry Formulas
Drill: Mathematical Processes

Mathematical Processes Drill Answer Key

Diagnostic Test

Answer Key

Questions Listed by Standards
Detailed Explanations of Answers

Practice Test

Reference Information

Answer Key

Detailed Explanations of Answers

Installing REA’s TestWare


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