Integer Word Problems

Advertisement

Integer Word Problems: Mastering the Art of Problem Solving



Are you staring at a word problem involving integers, feeling a surge of anxiety? Don't worry, you're not alone! Many students find integer word problems challenging, but with the right approach and understanding, they can become surprisingly straightforward. This comprehensive guide will equip you with the skills and strategies to tackle integer word problems with confidence. We'll break down the process step-by-step, providing clear examples and techniques to help you master this essential math skill. Get ready to conquer those integer word problems!

Understanding Integers: The Foundation



Before diving into word problems, let's refresh our understanding of integers. Integers are whole numbers (no fractions or decimals) that can be positive, negative, or zero. Understanding the relationships between positive and negative integers – especially addition, subtraction, multiplication, and division – is crucial. Remember the rules of signs:

Adding: Adding two positive integers results in a positive integer. Adding two negative integers results in a negative integer. Adding a positive and a negative integer requires finding the difference and using the sign of the larger number.
Subtracting: Subtracting an integer is the same as adding its opposite. For example, 5 – (-3) = 5 + 3 = 8.
Multiplying/Dividing: Multiplying or dividing two integers with the same sign results in a positive integer. Multiplying or dividing two integers with different signs results in a negative integer.


Deconstructing Integer Word Problems: A Step-by-Step Approach



Tackling integer word problems effectively requires a systematic approach. Here's a proven method:

#### 1. Read Carefully and Identify Key Information:

The first step is to carefully read the problem multiple times. Underline or highlight key information, such as numbers, keywords (increase, decrease, profit, loss, above, below, etc.), and the question being asked.

#### 2. Define Variables:

Assign variables (usually letters like x, y, z) to represent the unknown quantities in the problem. Clearly define what each variable represents. For example, "Let x represent the temperature increase."

#### 3. Translate Words into Mathematical Equations:

This is often the trickiest part. Carefully translate the words into mathematical expressions. Look for keywords that indicate mathematical operations:

"Sum," "total," "more than," "increased by" suggest addition (+).
"Difference," "less than," "decreased by," "minus" suggest subtraction (-).
"Product," "times," "multiplied by" suggest multiplication (×).
"Quotient," "divided by" suggest division (÷).

#### 4. Solve the Equation:

Use your algebraic skills to solve the equation you've created. Remember to show your work clearly, step-by-step.

#### 5. Check Your Answer:

Finally, check your answer to ensure it makes sense in the context of the word problem. Does the answer logically address the question asked?


Examples of Integer Word Problems



Let's illustrate with a few examples:

Example 1: The temperature in the morning was -5°C. By afternoon, it increased by 8°C. What was the afternoon temperature?

Variables: Let x = afternoon temperature.
Equation: x = -5 + 8
Solution: x = 3°C

Example 2: A submarine dives 250 meters below sea level, then ascends 100 meters. What is its final depth?

Variables: Let x = final depth.
Equation: x = -250 + 100
Solution: x = -150 meters (150 meters below sea level)

Example 3: A company made a profit of $5,000 in the first quarter and a loss of $2,000 in the second quarter. What was their net profit or loss for the two quarters?

Variables: Let x = net profit/loss.
Equation: x = 5000 + (-2000)
Solution: x = $3,000 (net profit)


Advanced Integer Word Problems: Consecutive Integers and More



More complex problems might involve consecutive integers (integers that follow one another, like 3, 4, 5) or other more intricate relationships. These problems often require setting up systems of equations. Practice is key to mastering these advanced problems.


Conclusion



Mastering integer word problems takes practice and a systematic approach. By following the steps outlined above – carefully reading, defining variables, translating words into equations, solving, and checking – you can build confidence and significantly improve your problem-solving skills. Remember, every problem is a learning opportunity. Don't be discouraged by initial challenges; keep practicing, and you'll see your abilities grow.


FAQs



1. What are some common keywords to look for in integer word problems? Look for words like "sum," "difference," "product," "quotient," "increase," "decrease," "profit," "loss," "above," "below," "more than," "less than."

2. How can I improve my speed in solving integer word problems? Practice consistently, focusing on understanding the underlying concepts and developing efficient problem-solving strategies.

3. What resources are available to help me practice integer word problems? Many online resources, textbooks, and practice workbooks offer a wide range of integer word problems with varying difficulty levels.

4. What if I get stuck on a problem? Break the problem down into smaller parts, reread the problem carefully, and try different approaches. If you're still stuck, seek help from a teacher, tutor, or online forum.

5. Are there any shortcuts or tricks for solving integer word problems? While there aren't magical shortcuts, understanding the properties of integers and practicing regularly will significantly improve your efficiency and accuracy.


  integer word problems: CliffsQuickReview Math Word Problems Karen L. Anglin, 2007-05-21 CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. CliffsQuickReview Math Word Problems gives you a clear, concise, easy-to-use review of the basics of solving math word problems. Introducing each topic, defining key terms, and carefully walking you through each sample problem gives you insight and understanding to solving math word problems. You begin by building a strong foundation in translating expressions, inserting parentheses, and simplifying expressions. On top of that base, you can build your skills for solving word problems: Discover the six basic steps for solving word problems Translate English-language statements into equations and then solve them Solve geometry problems involving single and multiple shapes Work on proportion and percent problems Solve summation problems by using the Board Method Use tried-and-true methods to solve problems about money, investments, mixtures, and distance CliffsQuickReview Math Word Problems acts as a supplement to your textbook and to classroom lectures. Use this reference in any way that fits your personal style for study and review — you decide what works best with your needs. Here are just a few ways you can search for information: View the chapter on common errors and how to avoid them Get a glimpse of what you’ll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center Use the glossary to find key terms fast With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades.
  integer word problems: Word Problems, Grade 7 , 2013-12-02 Spectrum(R) Word Problems for grade 7 includes practice for essential math skills, such as real world applications, multi-step word problems, variables, ratio and proportion, perimeter, area and volume, percents, statistics and more. Spectrum(R) Word Problems supplement to classroom work and proficiency test preparation. The series provides examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards. Word problem practice is provided for essential math skills, such as fractions, decimals, percents, metric and customary measurement, graphs and probability, and preparing for algebra and more.
  integer word problems: Algebra Word Problems Rebecca Wingard-Nelson, 2013-09 Having a problem with word problems? Author Rebecca Wingard-Nelson introduces simple ways to tackle tricky word problems with algebra. Real world examples make the book easy to read and are great for students to use on their own, or with parents, teachers, or tutors. Free downloadable worksheets are available on www.enslow.com.
  integer word problems: Math Word Problems For Dummies Mary Jane Sterling, 2008-02-05 Covers percentages, probability, proportions, and more Get a grip on all types of word problems by applying them to real life Are you mystified by math word problems? This easy-to-understand guide shows you how to conquer these tricky questions with a step-by-step plan for finding the right solution each and every time, no matter the kind or level of problem. From learning math lingo and performing operations to calculating formulas and writing equations, you'll get all the skills you need to succeed! Discover how to: * Translate word problems into plain English * Brush up on basic math skills * Plug in the right operation or formula * Tackle algebraic and geometric problems * Check your answers to see if they work
  integer word problems: Exploring the Integer Addition and Subtraction Landscape Laura Bofferding, Nicole M. Wessman-Enzinger, 2018-08-24 Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students’ learning. This book brings together recent work from researchers to illuminate the state of our understanding about issues related to integer addition and subtraction with a goal of highlighting how the variety of perspectives support each other or contribute to the field in unique ways. In particular, this book focuses on three main areas of integer work: students’ thinking, models and metaphors, and teachers’ thinking. Each chapter highlights a theoretically guided study centered on integer addition and subtraction. Internationally known scholars help connect the perspectives and offer additional insights through section commentaries. This book is an invaluable resource to those who are interested in mathematics education and numerical thinking.
  integer word problems: Word Problems, Grade 6 Spectrum, 2013-12-02 Spectrum(R) Word Problems for grade 6, includes focused practice for essential math skills. --Skills include: --*Real world applications --*Multi-step word problems --*Fractions, decimals, and percents --*Metric and customary measurement --*Graphs, probability, and statistics --*Geometry --Spectrum(R) Word Problems workbooks supplement classroom work and proficiency test preparation. The workbooks provide examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards, making it a perfect supplement at home or school.
  integer word problems: The Bounded and Precise Word Problems for Presentations of Groups S. V. Ivanov, 2020-05-13 The author introduces and studies the bounded word problem and the precise word problem for groups given by means of generators and defining relations. For example, for every finitely presented group, the bounded word problem is in NP, i.e., it can be solved in nondeterministic polynomial time, and the precise word problem is in PSPACE, i.e., it can be solved in polynomial space. The main technical result of the paper states that, for certain finite presentations of groups, which include the Baumslag-Solitar one-relator groups and free products of cyclic groups, the bounded word problem and the precise word problem can be solved in polylogarithmic space. As consequences of developed techniques that can be described as calculus of brackets, the author obtains polylogarithmic space bounds for the computational complexity of the diagram problem for free groups, for the width problem for elements of free groups, and for computation of the area defined by polygonal singular closed curves in the plane. The author also obtains polynomial time bounds for these problems.
  integer word problems: Learning Mathematics Anthony Orton, 2004-10-01 • Why do some students achieve more than others? • Do we have to wait until pupils are ready? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.
  integer word problems: Differentiating Instruction With Menus for the Inclusive Classroom Laurie E. Westphal, 2021-09-03 Differentiating Instruction With Menus for the Inclusive Classroom: Math for grades 6-8 offers teachers who have multiple ability levels in one classroom everything they need to create a student-centered learning environment based on choice. For each topic covered, there are two menus that look similar but contain differentiated content: one menu for students working on grade level and the other for students working below grade level. Using the creative, challenging choices found in Tic-Tac-Toe menus, List menus, 2-5-8 menus, and Game Show menus, students will demonstrate their knowledge with unique, exciting products. Also included are specific guidelines for products, assessment rubrics, and teacher introduction pages for each menu. These menus can also be used in conjunction with the Differentiating Instruction With Menus series (for students working above grade level) for three tiers of complementary menus. Grades 6-8
  integer word problems: Word Problems, Grade 6 Spectrum Spectrum, 2013-12-02 Math Word Problems Grade 6 for kids ages 11+ Support your child’s educational journey with Spectrum’s 6th grade math workbook that teaches essential math skills to sixth graders. 6th grade math workbooks are a great way for children to learn math skills through word problems that cover geometry, fractions, decimals, algebra 1 prep, and more through a variety of learning activities that are both fun AND educational! Why You’ll Love This 6th Grade Math Word Problems Book Engaging and educational math activities. “Using a number line”, “Graphing”, and “Finding percentages” are a few of the fun math activities that incorporate word problems to help inspire learning into your child’s classroom or homeschool curriculum. Tracking progress along the way. Pretests, posttests, a mid-test and final test are included to test student knowledge along the way. Use the scoring record and answer key in the back of the Spectrum math pre algebra workbook to track student progress before moving on to new and exciting activities. Practically sized for every activity. The 128-page math workbook is sized at about 8 1⁄4 inches x 10 1⁄2 inches—giving your child plenty of space to complete each exercise. About Spectrum For more than 20 years, Spectrum has provided solutions for parents who want to help their children get ahead, and for teachers who want their students to meet and exceed set learning goals—providing workbooks that are a great resource for both homeschooling and classroom curriculum. The 6th Grade Math Workbook Contains: 13 chapters of versatile math activities Pretests, posttests, a mid-test, and final test Scoring record sheets and answer key
  integer word problems: ICSE NumbersWiz Class 7 ANUBHUTI GANGAL, ICSE NumbersWiz is a series of books for KG to Class 8 which conforms to the latest CISCE curriculum. The main aim of writing this series is to help the children understand difficult mathematical concepts in a simple manner in easy language.
  integer word problems: New Mathematics Today Class 7 ANUBHUTI GANGAL, New Mathematics Today, a thoroughly revised series for KG to Class 8, has been designed as per the requirements of the latest curriculum. The content of this series is designed to reach all learners in the classroom irrespective of their skill levels or learning capabilities.
  integer word problems: Learning and Teaching Mathematics Peter Bryant, Terezinha Nunes, 2016-01-28 The authors of this volume, which is newly available in paperback, all hold the view that mathematics is a form of intelligent problem solving which plays an important part in children's lives outside the classroom as well as in it. Learning and Teaching Mathematics provides an exciting account of recent and radically different research on teaching and learning mathematics which will have a far reaching effect on views about mathematical education.
  integer word problems: Word Problem Workbook: Student's Workbook Hammer, 2003-10
  integer word problems: Foundation Mathematics for Class 7 R. S. Aggarwal, Goyal Brothers Prakashan, 2019-01-01 The revised edition of the series Foundation Mathematics for Classes 6, 7 and 8 is based on the latest curriculum prepared and recommended by the Council for the Indian School Certificate Examinations, New Delhi. The present mathematics curriculum aims to develop a number ofMathematical Skills (like Numerical Calculation, Algebraic Manipulation, Spatial Visualisation, Data Analysis, Measurement, Estimation and Approximation) and Mathematical Processes (like Reasoning, Communication and Connections, Problem solving and Heuristics, Estimation, Technology etc.) among students at these levels. This series has been developed and designed keeping in mind the following objectives of the latest curriculum : Students should : • Enjoy learning of mathematics. • Learn important mathematics that is much more than few formulas and mechanical procedures of solving problems. • Pose and solve meaningful problems. • See mathematics as something to talk about, to communicate, to discuss among themselves, to work together on. • Understand the basic structure of mathematics : Arithmetic, algebra, geometry and trigonometry, the basic content areas of school mathematics, all offer a methodology of abstraction, structuration and generalization. Goyal Brothers Prakashan
  integer word problems: Algebraic Equations Speedy Publishing, 2014-09-23 One exceptionally important part of knowing how to do algebra is knowing all of the equations. This can be very difficult for a student who is first learning how to do algebra, and it can be very difficult for one to sit down to learn them. One great way for persons to avoid simply starring at the equation for hours is to use an algebra equation study guide. The guide contains useful exercises a student can do in order to learn the problems.
  integer word problems: Rigor for Students with Special Needs Barbara R. Blackburn, Bradley S. Witzel, 2021-09-27 This practical guide explains how to raise the rigor for students with special needs so they can achieve higher levels of learning. Bestselling author Barbara R. Blackburn and intervention expert Bradley S. Witzel provide helpful information on assessment, planning, co-teaching models, high expectations, common obstacles, and emphasizing positive outcomes. This second edition offers new, expanded instructional strategies for literacy and math, as well as strategies that work across subject areas. In addition, each chapter is filled with tools and examples to help you implement the ideas. Perfect for general and special educators and supervisors, the book also comes with a study guide so you can collaborate on the book with building or district colleagues. With the practical information in this book, you’ll understand how to teach with higher expectations and rigor so that all students can feel successful.
  integer word problems: Methods of Solving Nonstandard Problems Ellina Grigorieva, 2015-09-17 This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the mathematics Olympiad. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions. The author uses a friendly, non-intimidating approach to emphasize connections between different fields of mathematics and often proposes several different ways to attack the same problem. Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, differential equations, nonlinear systems, and word problems. Over 360 problems are included with hints, answers, and detailed solutions. Methods of Solving Nonstandard Problems will interest high school and college students, whether they are preparing for a math competition or looking to improve their mathematical skills, as well as anyone who enjoys an intellectual challenge and has a special love for mathematics. Teachers and college professors will be able to use it as an extra resource in the classroom to augment a conventional course of instruction in order to stimulate abstract thinking and inspire original thought.
  integer word problems: Posing and Solving Mathematical Problems Patricio Felmer, Erkki Pehkonen, Jeremy Kilpatrick, 2016-04-29 This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.
  integer word problems: Intermediate Algebra Martin M. Zuckerman, 1986-01-01 As the title implies, this is a straightforward approach to intermediate algebra that guides the student step-by-step toward acquiring mathematical skills with examples, exercises, and more examples and exercises. The book is first and foremost student oriented. It does not dwell on formalities but appeals to intuition. Geometric arguments are favored wherever possible. Textual explanations are precise, brief, and to the point and are always accompanied by illustrative examples.
  integer word problems: Praxis Core For Dummies, with Online Practice Tests Carla C. Kirkland, Chan Cleveland, 2014-09-02 As a future educator, you know how thorough preparation can affect performance, and the Praxis Core Academic Skills for Educators exam requires your very best. This guide features the most updated information, and provides a detailed overview so you know what to expect on test day.
  integer word problems: Proceedings of the Nineteenth Annual Conference of the Cognitive Science Society Michael G. Shafto, Pat Langley, 1997 This volume features the complete text of the material presented at the Nineteenth Annual Conference of the Cognitive Science Society. Papers have been loosely grouped by topic and an author index is provided in the back. As in previous years, the symposium included an interesting mixture of papers on many topics from researchers with diverse backgrounds and different goals, presenting a multifaceted view of cognitive science. In hopes of facilitating searches of this work, an electronic index on the Internet's World Wide Web is provided. Titles, authors, and summaries of all the papers published here have been placed in an online database which may be freely searched by anyone. You can reach the web site at: www-csli.stanford.edu/cogsci97.
  integer word problems: Linear-Fractional Programming Theory, Methods, Applications and Software E.B. Bajalinov, 2013-12-01 This is a book on Linear-Fractional Programming (here and in what follows we will refer to it as LFP). The field of LFP, largely developed by Hungarian mathematician B. Martos and his associates in the 1960's, is concerned with problems of op timization. LFP problems deal with determining the best possible allo cation of available resources to meet certain specifications. In particular, they may deal with situations where a number of resources, such as people, materials, machines, and land, are available and are to be combined to yield several products. In linear-fractional programming, the goal is to determine a per missible allocation of resources that will maximize or minimize some specific showing, such as profit gained per unit of cost, or cost of unit of product produced, etc. Strictly speaking, linear-fractional programming is a special case of the broader field of Mathematical Programming. LFP deals with that class of mathematical programming problems in which the relations among the variables are linear: the con straint relations (i.e. the restrictions) must be in linear form and the function to be optimized (i.e. the objective function) must be a ratio of two linear functions.
  integer word problems: Mathematics Teaching, Learning, and Liberation in the Lives of Black Children Danny Bernard Martin, 2010-06-21 With issues of equity at the forefront of mathematics education research and policy, this collection offers authoritative scholarship that sheds light on the ways that young black learners experience mathematics in schools and their communities.
  integer word problems: Scholar's New Syllabus Composite Mathematics 6 V.K.Kapoor,
  integer word problems: Homework Helpers: Basic Math and Pre-Algebra, Revised Edition Denise Szecsei, 2011-04-15 Homework Helpers: Basic Math and Pre-Algebrawill help build a solid mathematical foundation and enable students to gain the confidence they need to continue their education in mathematics. Particular attention is placed on topics that students traditionally struggle with the most. The topics are explained in everyday language before the examples are worked. The problems are solved clearly and systematically, with step-by-step instructions provided. Problem-solving skills and good habits, such as checking your answers after every problem, are emphasized along with practice problems throughout, and the answers to all of the practice problems are provided. Homework Helpers: Basic Math and Pre-Algebra is a straightforward and easy-to-read review of arithmetic skills. It includes topics that are intended to help prepare students to successfully learn algebra, including: Working with fractions Understanding the decimal system Calculating percentages Solving linear equalities Graphing functions Understanding word problems
  integer word problems: BeeOne Grade 6 Math Workbook 2020 Edition Mrs Lakshmi Chintaluri, 2018-01-01 Strengthen your Sixth grader’s math learning and skills with Grade1to6.com workbooks. Worksheets in this workbook will enhance and strengthen the skills in Number systems Operation with numbers Addition Subtraction Multiplication Division Order of Operations Index & Exponent Fractions Decimals Percentages Polygons Area Volume Capacity Probability Statistics Transformation Sets Line Graphs Important Features of this Book These 551 high quality worksheets which will make your child perfect in Math. Suitable for a Grade 6 student globally. Aesthetic design helps children fall in love with Math. Aligned with Latest Curriculum of 2020 The worksheets are aligned with the latest curriculum of Enhanced PYP, Common Core, K2, Singapore Math, Australian Curriculum, CBSE & all well-known International Curriculum Conceptual Learning Assured Every single worksheet and workbook of BeeOne Books is focused on conceptual learning to assist children understand and perfect their learning. Once the concepts are clear, Good Grades are assured Lowest Price We understand the importance of price for teachers & parents, we keep our costs low to ensure we provide you Global standards workbook at the Lowest Price Design This workbook features well designed worksheets with examples given in most of them and ideal for use throughout the year to support classroom work, to help with internal assessments, holiday practice and to revise for the end-of- year examinations at school. Ideal for teachers who are teaching Grade 2 students, parents whose children are in Grade 2 and home schoolers. About BeeOne Books & www.grade1to6.com Publishers of 100’s of high-quality, well designed & result oriented Workbooks suitable for Grade 1 to 6 Are the creators of www.grade1to6.com, the World’s leading worksheet website of high-quality Math & English Worksheets for Grade 1 to 6 created by reputed teachers worldwide. The Grade1to6.com workbook series focuses on global standards worksheets created by experienced teachers and designed aesthetically for easy understanding. Beeone Books is rated a high 4.8 out of 5 in Teachers pay Teachers and used by 1000’s of teachers worldwide. See some of the testimonials by users who are mostly well acclaimed teachers. Imogen D Great to reinforce knowledge taught. December 7, 2019 Gail. S Wow. Comprehensive and easy to choose necessary additional resources when I need it to supplement my Math Program. November 26, 2019 Michelle L. Great for modified programs in elementary. November 7, 2019 Toni B. Good material for practice October 28, 2019 Randeep D. Everything was so organized! very happy to have found this. July 3, 2019 Lisa B. This is easy to grab and print when you need just some straight up practice. This is a fantastic package. The Canadian curriculum is a little different, so I'm able to use parts of this for all the different levels of students in my class - from grade 2 to grade 6. June 27, 2019 Rachel S. Great product for longer worksheets. A few can be finished in a minute; you have to be selective for longer work sessions. June 10, 2019 Sharon W. Excellent! loved it. June 10, 2019 Lilli H. Great resource for my differentiated students. April 29, 2019 Emily R. This is great! March 30, 2019 Janice M. Good angle work. My class loved it. March 20, 2019 Melissa M S. A great review resource. March 12, 2019 Lesley A. Great resource. February 15, 2019 Erika B. Great resource, thank you. November 13, 2018 Charise G. Great math supplement! June 18, 2018 Daniela S. Great! June 10, 2018 TeachPlanBeHappy Awesome resource! thanks! May 7, 2018
  integer word problems: Intermediate Algebra with Trigonometry Charles P. McKeague, 2014-05-10 Intermediate Algebra with Trigonometry focuses on principles, operations, and approaches employed in intermediate algebra with trigonometry. The publication first elaborates on basic properties and definitions, first-degree equations and inequalities, and exponents and polynomials. Discussions focus on polynomials, sums, and differences, multiplication of polynomials, greatest common factor and factoring by grouping, inequalities involving absolute value, equations with absolute value, and multiplication, division, and order of operation for real numbers. The manuscript then ponders on rational expressions, quadratic equations, and rational expressions and roots. Topics include equations quadratic in form, quadratic formula, completing the square, multiplication and division of complex numbers, equations with radicals, simplified form for radicals, multiplication and division of rational expressions, and addition and subtraction of rational expressions. The text takes a look at triangles, trigonometric identities and equations, introduction to trigonometry, and sequence and series, including arithmetic progressions, trigonometric functions, tables and calculators, sum and difference formulas, and the law of sines and cosines. The publication is a valuable reference for students and researchers interested in intermediate algebra with trigonometry.
  integer word problems: New GRE, Miller's Math Bob Miller, 2013-01-01 If you’re worried about your math score on the new GRE, get the guide that teaches you everything you need to know! Bob Miller’s Math for the New GRE Gets You into Grad School! Bob Miller has taught math to thousands of students at all educational levels for 30 years. His proven teaching methods help grad-school-bound students succeed on the math portion of the new GRE General Test. Written in a lively and unique format, Bob Miller’s Math for the New GRE is fully aligned with the new GRE General Test that launched in August 2011. This book is the perfect study companion for anyone taking the new GRE General. Bob Miller addresses the changes to the content and format of the exam while teaching math in an easy-to-understand style. Unlike some dull test preps that merely present the material, Bob actually teaches and explains math concepts and ideas. His no-nonsense, no-stress teaching methods and decades of experience as a math teacher help you master the material and get an excellent score. The book contains everything GRE test-takers need to know to solve the math problems that typify the Quantitative section of the exam. Each chapter is devoted to a specific topic and is packed with examples and exercises that reinforce the required math skills. Bob Miller’s Math for the New GRE is a must-have for anyone who needs to boost their math skills before taking the new GRE!
  integer word problems: Problem Solving & Comprehension Arthur Whimbey, Jack Lochhead, Ron Narode, 2013-06-26 This popular book shows students how to increase their power to analyze problems and comprehend what they read using the Think Aloud Pair Problem Solving [TAPPS] method. First it outlines and illustrates the method that good problem solvers use in attacking complex ideas. Then it provides practice in applying this method to a variety of comprehension and reasoning questions, presented in easy-to-follow steps. As students work through the book they will see a steady improvement in their analytical thinking skills and become smarter, more effective, and more confident problem solvers. Not only can using the TAPPS method assist students in achieving higher scores on tests commonly used for college and job selection, it teaches that problem solving can be fun and social, and that intelligence can be taught. Changes in the Seventh Edition: New chapter on open-ended problem solving that includes inductive and deductive reasoning; extended recommendations to teachers, parents, and tutors about how to use TAPPS instructionally; Companion Website with PowerPoint slides, reading lists with links, and additional problems.
  integer word problems: Intermediate Algebra Charles P. McKeague, 2014-05-10 Intermediate Algebra focuses on the principles, operations, and approaches involved in intermediate algebra. The book first elaborates on basic properties and definitions, first-degree equations and inequalities, and exponents and polynomials. Discussions focus on the greatest common factor and factoring by grouping, factoring trinomials, special factoring, equations with absolute value, inequalities involving absolute value, formulas, first-degree equations, graphing simple and compound inequalities, and properties of real numbers. The text then takes a look at rational expressions, rational exponents and roots, and quadratic equations. Topics include solving quadratic equations by factoring, discriminant and the sum and product of solutions, multiplication and division of complex numbers, combinations of radical expressions, rational exponents, complex fractions, and multiplication and division of rational expressions. The manuscript elaborates on sequence and series, logarithms, relations and functions, and conic sections, including ellipses and hyperbolas, nonlinear systems, function and notation, algebra with functions, common logarithms and computations, and word problems. The publication is a dependable reference for students and researchers interested in intermediate algebra.
  integer word problems: Bridging the Gap Between Arithmetic & Algebra Bradley S. Witzel, 2015-11-15 Although two federal panels have concluded that all students can learn mathematics and most can succeed through Algebra 2, the abstractness of algebra and missing precursor understandings may be overwhelming to many students … and their teachers. Bridging the Gap Between Arithmetic & Algebra responds to this need for instruction and interventions that go beyond typical math lesson plans. Providing a review of evidence-based practices, the book is an essential reference for mathematics teachers and special education teachers when teaching mathematics to students who struggle with the critical concepts and skills necessary for success in algebra. Audiences: General education (mathematics) teachers, special education teachers, administrators, teacher educators.
  integer word problems: Differentiating Instruction With Menus Laurie E. Westphal, 2021-09-03 The best-selling Differentiating Instruction With Menus series has helped teachers nationwide differentiate instruction for their high-ability learners with easy-to-use menus and exciting tools to challenge and reach gifted and advanced students in the classroom. Each book includes an updated, student-friendly rubric that can assess different types of products, free choice proposal forms to encourage independent study, and new and favorite challenging menus to meet the needs of these diverse higher level learners. Readers will also be able to save time by using updated guidelines that reflect changes in technology for each of the products included in the menus and find direct alignment with standards approved in recent years. Topics addressed in Differentiating Instruction With Menus: Math (Grades 6-8, 2nd ed.) include numbers and operations, geometry, measurement, and basic algebra. Grades 6-8
  integer word problems: Arithmetic Functions and Integer Products P.D.T.A. Elliott, 2012-12-06 Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = ± I. A value can be given for v which is uniform in the m. A representation can be computed so that no ni exceeds a certain fixed power of 2m, and the number k of terms needed does not exceed a fixed power of log 2m. Consider next the collection of finite probability spaces whose associated measures assume only rational values. Let hex) be a real-valued function which measures the information in an event, depending only upon the probability x with which that event occurs. Assuming hex) to be non negative, and to satisfy certain standard properties, it must have the form -A(x log x + (I - x) 10g(I -x». Except for a renormalization this is the well-known function of Shannon. What do these results have in common? They both apply the theory of arithmetic functions. The two widest classes of arithmetic functions are the real-valued additive and the complex-valued multiplicative functions. Beginning in the thirties of this century, the work of Erdos, Kac, Kubilius, Turan and others gave a discipline to the study of the general value distribution of arithmetic func tions by the introduction of ideas, methods and results from the theory of Probability. I gave an account of the resulting extensive and still developing branch of Number Theory in volumes 239/240 of this series, under the title Probabilistic Number Theory.
  integer word problems: Math Word Problems Demystified 2/E Allan Bluman, 2011-07-19 Your solution to MATH word PROBLEMS! Find yourself stuck on the tracks when two trains are traveling at different speeds? Help has arrived! Math Word Problems Demystified, Second Edition is your ticket to problem-solving success. Based on mathematician George Polya's proven four-step process, this practical guide helps you master the basic procedures and develop a plan of action you can use to solve many different types of word problems. Tips for using systems of equations and quadratic equations are included. Detailed examples and concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll learn to solve: Decimal, fraction, and percent problems Proportion and formula problems Number and digit problems Distance and mixture problems Finance, lever, and work problems Geometry, probability, and statistics problems Simple enough for a beginner, but challenging enough for an advanced student, Math Word Problems Demystified, Second Edition helps you master this essential mathematics skill.
  integer word problems: Number Game 7 ,
  integer word problems: WORD PROBLEMS II Lev D. Beklemishev, 2000-04-01 WORD PROBLEMS II
  integer word problems: Differentiated Instruction for the Middle School Math Teacher Karen E. D'Amico, Kate Gallaway, 2008-01-02 Differentiated Instruction for the Middle School Math Teacher is a practical and easy-to-use resource for teaching a standards-based math curriculum to all learners. It gives you effective ways to present math concepts, shows how to provide opportunities for guided practice, and offers ideas for modifying the material to provide access to the same content standard for all students in the inclusive classroom. This book also contains key strategies for collaborating with other professionals, suggestions for involving the students' families by tying math concepts to students' everyday lives, and valuable assessment strategies. The lessons in the book cover middle school math topics correlated to the standards of the National Council of Teachers of Math, ranging from numbers and operations to problem solving and reasoning. Each lesson includes: Instructions for presenting the lesson to the whole class Worksheets designed to help review and reinforce theconcepts presented in each lesson A section on how to adapt the lesson for the inclusive classroom, including descriptions of different stations for different learners A home-school connection with family-based everyday math activities Suggestions for how to assess students' grasp of the concepts presented in the lesson
  integer word problems: Alpha Teach Yourself Algebra I in 24 Hours Jane Cook, 2011-01-04 The first step in complex math is now the easiest. Alpha Teach Yourself Algebra I in 24 Hours provides readers with a structured, self-paced, straight-forward tutorial to algebra. It's the perfect textbook companion for students struggling with algebra, a solid primer for those looking to get a head start on an upcoming class, and a welcome refresher for parents tasked with helping out with homework, all in 24 one-hour lessons. • Algebra is the second-most popular mathematic course for college- bound high school students • Nearly all college-bound high school students now take algebra
  integer word problems: Constructing Number Anderson Norton, Martha W. Alibali, 2018-12-17 The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.
Adding Integers - Word Problems - tesd.net
Adding Integers - Word Problems Essential Skills: Identity the questions you need to answer and the problems you need to solve 1.) A football team loses 5 yards on one play and then loses 8 …

Word Problem Practice Workbook - McGraw Hill Education
Problem-Solving Investigation: Draw a Diagram. For Exercises 1–6, use the draw a diagram strategy to solve the problem. TILING Kelly is using 3-inch square tiles to cover a 4-foot by 2 …

Math Monks - by Teachers for Students
Integer Word Problems Worksheet Wheat is sold at a profit of $12 per kg. Find the overall profit if 150 kg of wheat is sold in total. A submarine begins its descent from the surface of the water. …

Name Period Date Adding and Subtracting Integers Word …
Adding and Subtracting Integers Word Problems 1. Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea …

Consecutive Integer Word Problems - tesd.net
Algebra ­ Consecutive Integer Word Problems Notes ­ per 3 AutoSave 10 October 11, 2012 Extra Practice... 1: The sum of two consecutive integers is 93. Find the smaller integer. ( Valley …

Introductory Word Problems - Consecutive Integer Problems
Introductory Word Problems - Consecutive Integer Problems. Solve: The sum of 3 consecutive integers is 42. Find the integers. The sum of 4 consecutive even integers is 44. Find the …

Word Problem Worksheet
Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126. Seven times a number is equal to 12 more than 3 times the number. Find the number. …

Integer Word Problems Worksheets | Worksheet 1
Integer Word Problems Worksheets. Write the numbers in the following examples using the proper signs (+/-). A submarine is at a depth of 512 metres below sea level. The height of Mt. …

Math Monks - by Teachers for Students
Integer Word Problems Practice Benny has $75 to spend. He purchased a gift for $93. If he borrows the extra money that he needs, how much does he need to borrow? The top of a …

8 Algebra CC 4-3 Essential Questions: What are consecutive …


WS Consecutive Numbers Word Problems - MathNinja.Org
WS Consecutive Numbers Word Problems. Complete the table where possible. PP/\CT!CE EX'=8CISES. Write an equation for each problem. Then solve the problem. Find three …

Two-step equations - word problems - integers - Mathx.net
Two-step equations - word problems - integers. 1) The sum of three consecutive even numbers is 66. What is the smallest of these numbers? 3) 304 students went on a field trip. Seven buses …

7th Grade Math Unit 2 Integers and Rational Numbers - Mr.


2.2b Consecutive Integers Word Problems - Allegany …
Find two consecutive integers whose sum is -55. Find two consecutive odd integers whose sum is -56. Find three consecutive odd integers such that the sum of the first and the third integers is …

Integer Operations - Mrs. McCauley BHS Math


Integer Challenge Questions - Ms. Goley's 7th grade math


Integer Word Problems: Mastering the Art of Problem Solving
students find integer word problems challenging, but with the right approach and understanding, they can become surprisingly straightforward. This comprehensive guide will equip you with …

Consecutive Integer Word Problems - Parkwood Mathletes


Word Problems: Consecutive Integer Problems
Word Problems: Consecutive Integer Problems Jefferson Davis Learning Center, Sandra Peterson. Solve each problem below. Find two consecutive integers whose sum is 45. Find …

Two-Step Word Problems - Kuta Software
Two-Step Equation Word Problems Date_____ Period____ 1) 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? …

packet 2.5 - linear word problems - Allegany-Limestone High …
4 The first side of this sheet has you finding values for y or f(x), when given an x value. This notation can also be used when given the value of f(x) (think: given a value for y, find the value …

Integer Word Problems - atart78.weebly.com
Integer Word Problems Complete at least 2 questions of your choice from each section. Show all your work on a separate piece of paper and make sure to indicate which ... The sum of an …

INTEGER MULTIPLICATION AND DIVISION - Center for …
Integer Multiplication and Division 3.1 Multiplying Integers MathLinks: Essentials ©CMAT (Integers 3: Student Packet) 3 MULTIPLYING INTEGERS WITH COUNTERS 1 1. Look up …

JMAP REGENTS BY STATE STANDARD: TOPIC
Algebra I Regents Exam Questions by State Standard: Topic www.jmap.org 3 F.IF.B.6: RATE OF CHANGE 11 A bookstore owner recorded the number of books sold and the profit made …

Integer Word Problems HW - Chandler Unified School District
Integer Word Problems 1. Cara monitors a snail in her aquarium. She notes that this morning it crawled 1” up the glass. A few hours later it crawled another 2” up the glass. Later, it crawled …

linear equations word problems worksheet with solutions
LINEAR EQUATIONS WORD PROBLEMS. WORKSHEET WITH SOLUTIONS. 1. A delivery service charges a base fee of $5 plus $2.50 for each package delivered. If the. total cost for …

Pre-Algebra Unit 2 - Chambersburg Area School District
Word Problem 13) Tell what an irrational number is in your own words. 14) ... Classify 100 as: natural number, whole number, integer, rational number, irrational number. (Use all that …

Nuances of Prospective Teachers’ Interpretations of Integer …
Interpretations of Integer Word Problems Laura Bofferding and Nicole M. Wessman-Enzinger Abstract This chapter identifies the ways in which 15 prospective teachers engage the strands …

Section 1 Direct Translation - My Math Classes
Word Problem Workbook Consecutive Integers 37 Step 5 Answer The Question Asked •You have the solution to the equation, but it is NOT the answer to the question. •The value of x is the 1st …

2.2b Consecutive Integer Word Problems - alcsny.org
2.2b Consecutive Integer Word Problems To define consecutive integers using x: Let x = first consecutive integer x+1 = second consecutive integer ... (odd) integer x+4 = the third …

Linear Function Word Problems - Mathemaddox
Linear Function Word Problems Name_____ ©d l2I0H2\0B [KWuftxac HSgonfvttwsazr_eu WLjLECh.b a lA^lBlW WrmiIgbhXt`su FreeXsOe`rEvsePdC.-1-1) Jimmy is having a birthday …

Word Problems with Rational Numbers - MR. CRAWFORD'S …
Word Problems Solvinq Word Problems with Rational Numbers When you are working with a word problem with rational numbers you will be required to translate the language into a …

Integer Word Problems Worksheets | Worksheet 3 - Amazon …
Integer Word Problems Worksheets. WWW.CUEMATH.COM 7. The temperature on a winter night was -33 degrees. The temperature rose by 8 degrees when the sun came up. When the …

PRACTICE UNIT TEST - Integers Multiple Choice - Weebly
What is the integer represented by the tiles in the 3 boxes combined? 3 black 2 white 6 black 7 white 9 black 3 white 19. Add. (+6) + (–2) + (+8) 20. Find all sets of 3 integers that have a sum …

Grade 8 Integers - LearnAlberta.ca
and illustrating their use in solving problems. • The specific outcome focuses on the understanding of multiplication and division of integers—concretely, pictorially and …

Adding & Subtracting Integers - Mr Leavitt's Class
Practice – Integer Word Problems 1. A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position? 2. Mt. Everest, the highest elevation in Asia, is …

Wacky Word Problems with Story Boarding - S²TEM Centers SC
Group Guidelines for Wacky Integer Word Problems: • Your word problem: (these are the choices that groups could be given) The sum of two positive integers. The sum of two negative …

Multiplying and Dividing Integers MODULE 2 - Leon County …
than one word in each box. Understand Vocabulary Complete the sentences using the review words. 1. A is a number that is less than 0. A is a number that is greater than 0. 2. Division …

Word Problems: Consecutive Integer Problems
%PDF-1.3 %âãÏÓ 3 0 obj /Linearized 1 /O 5 /H [ 617 153 ] /L 3568 /E 3130 /N 1 /T 3391 >> endobj xref 3 11 0000000016 00000 n 0000000564 00000 n 0000000770 00000 n …

Integer Word Problems Worksheet [PDF]
Integer Word Problems Worksheet Integer Word Problems Worksheet Book Review: Unveiling the Power of Words In a global driven by information and connectivity, the power of words has …

INEQUALITIES FROM WORD PROBLEMS A2 - Amazon Web …
INEQUALITIES FROM WORD PROBLEMS A2 ANSWERS WORD PROBLEM INEQUALITY 1) Water will freeze when the temperature is at or below 32°F. Write an inequality using the …

Subtracting Integers - Saylor Academy
the initial quantity, -4, is a negative integer. Next, imagine the person turning around. Since a positive integer, 3, is being subtracted, imagine the person moving 3 units forward and to the …

Integer Word Problems Worksheets | Worksheet 1
Integer Word Problems Worksheets. WWW.CUEMATH.COM Zayn gets only 12 of his answers correct out of 18 questions on the test. What will be his score? 6. A bird descends at the rate …

Alg - HW 8.3 Word Problems - Allegany-Limestone High …
1. Twice the square of an integer is 5 less than 7 times the integer. Find the integer. 2. The larger of two positive integers is 1 more than twice the smaller. If 3 times the square of the smaller is …

WS 23 Quadratics word problems - Scarsdale Public Schools
Quadratics Word Problems Date _____ Section _____ For each, define variable(s), write and solve a quadratic equation and answer the question. Consecutive Integers: 1. Find two …

EXPONENTS FINAL REVIEW
©p a2q0 k1F20 AKSugt Sap FS woRf8tNw2aJr7e N bL fL LC l.3 b UA gl sl U mreifgdh utPs8 5r Pejs 8efrov me3dt. I X kMXaudse z nwXiwt2hh jI 1n9f bi9nMigtoe R TP1r 6eY-yApljg1e 4b …

Adding and Subtracting Integers MODULE 1 - Washoe County …
EXAMPLE Decide whether the integer is positive A diver descended 20 meters.-20 Write an integer to represent each situation. 1. an elevat or ride down 27 stories 2. a $700 profit 3. 46 …

Adding integer word problems worksheet with answers …
Adding integer word problems worksheet with answers pdf To solve integer problems, students need the right knowledge base for integers. Proper practice is required to resolve integer …

Multiplying Integers Using Manipulatives - LearnAlberta.ca
If the first integer is negative, press the + / – key on the calculator, then enter the value of the first integer. 6 –6 + / – 2. Press the ... Solving Word Problems Check out these examples of writing …

Comparing and Ordering Integers - Leon County Schools
Name _____ Date _____ Class _____ Original content Copyright © by Houghton Mifflin Harcourt.

integer-word-problem-1 - Math Worksheets 4 Kids
Title: integer-word-problem-1.pdf Author: syste Created Date: 11/6/2023 12:45:16 PM

ACCELERATED MATHEMATICS CHAPTER 2 - Mangham Math
Word problems Activity 2-9 Golf word problems Activity 2-11 Temperature word problems Activity 2-12 GameTime Square Game, Activity 2-14 ... An integer and its opposite are the same …

One-Step Equations With Integers - Kuta Software
©M T2 c0E1M2S kKKuKtOar VSCoBfmtDwcaKrkes zL8L rC f.U v 6A alDl 8 CrSiWg1hjt Wsi XrMeFsweor 9vxeCdC.W 4 tMra vdqe Z PwwiUt FhY XIgnlf 8i8nVi3t4eY qP1r1e 1-3A glIg3e …

QUADRATIC EQUATIONS WORD PROBLEMS - Eleanor …
Nov 21, 2014 · © Howard Sorkin 2000 All rights reserved 2 QUADRATIC EQUATIONS - WORD PROBLEMS 3. The hypotenuse of a right triangle is 6 more than the shorter leg.

Multiplying and Dividing Integers - Mrs. Blue
INTEGER WORD PROBLEMS!!... ×÷/ For each of the following word problems, create the mathematical expression and solve, showing all of your work. 1. STOCK MARKET: the price …

Probability Word Problems Five Worksheet Pack
Topic : Probability Word Problems- Worksheet 1 What is the probability? 1. Jill is playing cards with her friend when she draws a card from a pack of 20 cards numbered from 1 to 20. What is …

College Algebra Practice Word Problems - University of New …
College Algebra Practice Word Problems 1. A basketball team played thirty-two games and won three times as many games as it lost. How many games did the team win? 2. The sum of three …

Integer Word Problems - etutorworld
Integer Word Problems 1. Cara monitors a snail in her aquarium. She notes that this morning it crawled 1” up the glass. A few hours later it crawled another 2” up the glass. Later, it crawled …

Integer Word Problems - mspearsonwebpage.weebly.com
Integer Word Problems 1. Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference …

Word Problems Negative And Positive Integers - mj.unc.edu
December 27th, 2019 - Integer Vocabulary in Word Problems When you begin working on positive and negative numbers the word problems use vocabulary that translates to the sign of the …

Pre-Algebra Word Problems - Math Plane
%PDF-1.5 %µµµµ 1 0 obj >>> endobj 2 0 obj > endobj 3 0 obj >/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 …

Word GRADE 7 Word Problems - Carson Dellosa
challenging, multi-step word problems, skills that are essential to profi ciency with the Common Core State Standards. Spectrum Word Problems Grade 7 includes practice for essential math …

Adding Integer Word Problems (PDF) - netsec.csuci.edu
Adding integer word problems may initially seem daunting, but with a methodical approach, a solid understanding of integers, and consistent practice, you can become proficient in solving them. …

Consecutive Integer Word Problems Unit 1 Day 3 - MRS.
Math 1 Consecutive Integer Word Problems Unit 1 Day 3 SWBAT translate word expressions into mathematical equations and solve for the determined variable. Translating Symbols into …

2. 3. 4. 5. 6. 7. WWW.CUEMATH - Amazon Web Services
Integer Word Problems Worksheets. WWW.CUEMATH.COM 8. Give ‘True’ or ‘False’ for the following statements, along with explanations. a. Any positive integer is always greater than its …

Two-Step Equations With Integers - Kuta Software
©o I2q0 j1i2 9 tK ou4tIa4 vS qo tfVtxwNaJr eP dL ZL2CW.j g 7A zljlZ Hr ai 7g Ahft RsP dr 0eAsqe prRvre0dn.L F CM 7a 8d5e F 7wQintChE JI Un4fci 0n CiKtmeD WPYrFeI-cA 3lXg hevb …

Lesson 13: Application Problems with Quadratic Equations
Quadratic Word Problems Short videos: Projectile Word Problem Time and Vertical Height with Graphing Calc Area Word Problem Motion Word Problem Business Word Problem ... n = 1st …

MULTIPLYING & DIVIDING INTEGERS - Mt. San Antonio …
Microsoft Word - 2 Multiply and Divide Integers.doc Author: myau Created Date: 7/28/2009 12:43:37 PM ...