Holt Algebra 1 - Sr. Mai

Holt Algebra 1Know-It NotebookTM

Copyright by Holt, Rinehart and WinstonAll rights reserved. No part of this publication may be reproduced or transmitted in any form or by anymeans, electronic or mechanical, including photocopy, recording, or any information storage and retrievalsystem, without permission in writing from the publisher.Requests for permission to make copies of any part of the work should be mailed to the followingaddress: Permissions Department, Holt, Rinehart and Winston, 10801 N. MoPac Expressway, Building 3,Austin, Texas 78759.HOLT and the “Owl Design” are trademarks licensed to Holt, Rinehart and Winston, registered in theUnited States of America and/or other jurisdictions.Printed in the United States of AmericaIf you have received these materials as examination copies free of charge, Holt, Rinehartand Winston retains title to the materials and they may not be resold. Resale ofexamination copies is strictly prohibited.Possession of this publication in print format does not entitle users to convert thispublication, or any portion of it, into electronic format.ISBN 0-03-077923-51 2 3 4 5 6 7 8 986209 08 07 06Copyright by Holt, Rinehart and Winston. All rights reserved.

ContentsUsing KINNotetaking StrategiesChapter 1 Key VocabularyLesson 1-1Lesson 1-2Lesson 1-3Lesson 1-4Lesson 1-5Lesson 1-6Lesson 1-7Lesson 1-8Chapter 1 ReviewChapter 1 Big Idea QuestionsChapter 2 Key VocabularyLesson 2-1Lesson 2-2Lesson 2-3Lesson 2-4Lesson 2-5Lesson 2-6Lesson 2-7Lesson 2-8Lesson 2-9Lesson 2-10Chapter 2 ReviewChapter 2 Big Idea QuestionsChapter 3 Key VocabularyLesson 3-1Lesson 3-2Lesson 3-3Lesson 3-4Lesson 3-5Lesson 3-6Chapter 3 ReviewChapter 3 Big Idea QuestionsChapter 4 Key VocabularyLesson 4-1Lesson 4-2Lesson 4-3Lesson 4-4Lesson 4-5Lesson 4-6Chapter 4 ReviewChapter 4 Big Idea QuestionsChapter 5 Key VocabularyLesson 5-1Lesson 5-2Lesson 5-3Lesson 5-4Lesson 5-5Lesson 5-6Lesson 5-7Lesson 5-8Lesson 5-9Chapter 5 ReviewChapter 5 Big Idea QuestionsChapter 6 Key VocabularyLesson 6-1Lesson 6-2Lesson 6-3Lesson 6-4Lesson 6-5Lesson 6-6Chapter 6 ReviewChapter 6 Big Idea QuestionsCopyright by Holt, Rinehart and Winston.All rights 78798081828486919294959698100101102105Chapter 7 Key VocabularyLesson 7-1Lesson 7-2Lesson 7-3Lesson 7-4Lesson 7-5Lesson 7-6Lesson 7-7Lesson 7-8Chapter 7 ReviewChapter 7 Big Idea QuestionsChapter 8 Key VocabularyLesson 8-1Lesson 8-2Lesson 8-3Lesson 8-4Lesson 8-5Lesson 8-6Chapter 8 ReviewChapter 8 Big Idea QuestionsChapter 9 Key VocabularyLesson 9-1Lesson 9-2Lesson 9-3Lesson 9-4Lesson 9-5Lesson 9-6Lesson 9-7Lesson 9-8Lesson 9-9Chapter 9 ReviewChapter 9 Big Idea QuestionsChapter 10 Key VocabularyLesson 10-1Lesson 10-2Lesson 10-3Lesson 10-4Lesson 10-5Lesson 10-6Lesson 10-7Lesson 10-8Chapter 10 ReviewChapter 10 Big Idea QuestionsChapter 11 Key VocabularyLesson 11-1Lesson 11-2Lesson 11-3Lesson 11-4Lesson 11-5Lesson 11-6Lesson 11-7Lesson 11-8Lesson 11-9Chapter 11 ReviewChapter 11 Big Idea QuestionsChapter 12 Key VocabularyLesson 12-1Lesson 12-2Lesson 12-3Lesson 12-4Lesson 12-5Lesson 12-6Lesson 12-7Chapter 12 ReviewChapter 12 Big Idea 7208211Algebra 1

USING THE KNOW-IT NOTEBOOK This Know-It Notebook will help you take notes, organize your thinking, and studyfor quizzes and tests. There are Know-It Notes pages for every lesson in yourtextbook. These notes will help you identify important mathematical information thatyou will need later.Know-It NotesVocabularyOne good note-taking practice is to keep a list of the new vocabulary. Use the page references or the glossary in your textbook to find each definitionand a clarifying example. Write each definition and example on the lines provided.Lesson ObjectivesAnother good note-taking practice is to know the objective the content covers.Additional ExamplesYour textbook includes examples for each math concept taught. Additional examplesin the Know-It Notebook help you take notes to remember how to solve differenttypes of problems. Take notes as your teacher discusses each example. Write notes in the blank boxes to help you remember key concepts. Write final answers in the shaded boxes.Check It OutComplete the Check It Out problems that follow each lesson. Use these to make sureyou understand the math concepts covered in the lesson. Write each answer in the space provided. Check your answers with your teacher or another student. Ask your teacher to help you understand any problem that you les and ExpressionsLESSON 1-1 CONTINUED1-1This table contains important vocabulary terms from Chapter 1. As you workthrough the chapter, fill in the page number, definition, and a clarifying examplefor each term.Lesson ObjectivesTranslate between words and algebra; Evaluate algebraic expressions.To make 20 sleeping bags, 1700bottles are needed.To make 50 sleeping bags, 4250bottles are needed.VocabularyTermabsolute valuePage14additive te plane 54DefinitionThe distance of anumber from zero onthe number line.Clarifying Exampleletter or symbol used to represent a value that can change.variable (p. 6) A冷2冷 2冷 2冷 2value that does not change.constant (p. 6) ASubtracting 6 is thesame as adding theinverse of 6, 6.An expression that may x 4contain variables,constants, andoperations.1. Give two ways to write the algebraic expression in words.operations.An expression that may contain variables, constantsalgebraic expression (p. 6)andoperations. X26The number that tellsIn the expression 54, 4how many times theis the exponent.base is used as a factorin a power.integers34The whole numbersand their opposites.irrationalnumbers34Numbers that cannot be 兹2苶, 兹11苶, aexpressed in the form ᎏbᎏincluding square rootsof whole numbers thatare not perfect squaresand nonterminatingdecimals that do notrepeat.Copyright by Holt, Rinehart and Winston.All rights reserved.Terms that contain thesame variables raisedto the same powers.4., 3, 2, 1, 0, 1, 2,3, .32dp–nExample 1exponent474 decreased by nn less than 42. Elaine earns 32 per day. Write an expression for the amount thatshe earns in d days.3. Evaluate the expression for m 3, n 2, and p 9.Additional Examplesn n like terms4 nTo find the value of an expression.evaluate (p. 7)Y n Check It Out!An expression that may contain only constants andnumerical expression (p. 6)A number multiplied by In the expression 3x,a variable.3 is the coefficient.n bottles are needed.The opposite of anumber used whensubtracting numbers.Formed by theintersection of twoperpendicular numberlines.To make 325 sleeping bags, 27,625Give two ways to write each algebraic expression in words.7A. 9 r4. To make one sweater, sixty-three 20-ounce plastic drink bottles mustbe recycled.the sum of 9 and rWrite an expression for the number of bottles needed to makes sweaters.9 increased by rB. q 363sthe difference of q and 33 less than q4x and 3xAlgebra 1Copyright by Holt, Rinehart and Winston.All rights reserved.Copyright by Holt, Rinehart and Winston.All rights reserved.6ivAlgebra 1Copyright by Holt, Rinehart and Winston.All rights reserved.9Algebra 1Algebra 1

Key ConceptsKey concepts from each lesson are included. These are indicated in your studentbook with the KIN logo. Write each answer in the space provided. Check your answers with your book. Ask your teacher to help you with any concept that you don’t understand.Chapter ReviewComplete Chapter Review problems that follow each lesson. This is a good reviewbefore you take the chapter test. Write each answer in the space provided. Check your answers with your teacher or another student. Ask your teacher to help you understand any problem that you answeredincorrectly.Big IdeasThe Big Ideas have you summarize the important chapter concepts in your ownwords. Putting ideas in your words requires that you think about the ideas andunderstand them. This will also help you remember them. Write each answer in the space provided. Check your answers with your teacher or another student. Ask your teacher to help you understand any question that you answeredincorrectly.LESSON 1-1 CONTINUEDCHAPTERChapter ReviewCHAPTER1Big Ideas1Key ConceptsAnswer these questions to summarize the important concepts fromChapter 1 in your own words.1-1 Variables and ExpressionsThink and Discuss (p. 8)Evaluate each expression for a 3, b 4, and c 8.Get Organized Next to each operation, write a word phrase in the left box andits corresponding algebraic expression in the right box.WORDSALGEBRA1. a b72. ac3. c b44. c b1. Explain how adding numbers with the same sign is different from addingnumbers with different signs.242When adding numbers with the same sign, add their absolutevalues and use the sign of the numbers. When adding numberswith different signs, find their difference of their absolute valuesand use the sign of the number with the greater absolute value.5. Amy runs 3 miles each day.3 more than xAdditionx 31 less than ySubtractiony 1The product of 2and nMultiplication2na. Write an expression for the number of miles Amy runs in d days.3db. Find the number of miles Amy runs in 5, 10, and 32 days.2. Explain the relationship between square roots and perfect squares.15, 30, 96The operations of squaring and finding a square root are inverseoperations.1-2 Adding and Subtracting Real NumbersDivisionx 43. Explain why is an irrational number.Add or subtract.The quotient of xand 4 76.76. 15.3 61.48. 72 ( 38)341ᎏᎏ9417. ᎏ9ᎏ ᎏ3ᎏ9. 6.4 9.8aAn irrational number cannot be expressed in the form ᎏbᎏ. is an 3.4airrational number because it cannot be expressed in the form ᎏbᎏ.10. Sue had 78.25. She spent 25.65. How much does she have left?4. Explain how to graph the point ( 5, 7). 52.601-3 Multiplying and Dividing Real NumbersStart at the origin. Move 5 units left and 7 units up.Multiply or divide.11. 2.3(10)13. 64 ( 8) 23 85. How are natural numbers and whole numbers alike and different?112. 2 ᎏ3ᎏ614. 4(12)48Natural numbers and whole numbers both include countingnumbers. Whole numbers also include zero.15. There were 183 people at a basketball game. Each ticket cost 8. Howmuch money was spent on the tickets for the basketball game?For more review of Chapter 1: Complete the Chapter 1 Study Guide and Review on pages 62–65 of yourtextbook. 1464 Complete the Ready to Go On quizzes on pages 39 and 61 of yourtextbook.Copyright by Holt, Rinehart and Winston.All rights reserved.10Algebra 1Copyright by Holt, Rinehart and Winston.Copyright by Holt, Rinehart and Winston.All rights reserved.52Algebra 11Copyright by Holt, Rinehart and Winston.All rights reserved.55Algebra 1Algebra 1