Holt Algebra 1 - Sr. Mai

1 Holt Algebra 1. Know-It NotebookTM. Copyright by Holt, Rinehart and Winston All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Requests for permission to make copies of any part of the work should be mailed to the following address: 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 the United States of America and/or other jurisdictions. Printed in the United States of America If you have received these materials as examination copies free of charge, Holt, Rinehart and Winston retains title to the materials and they may not be resold. Resale of examination copies is strictly prohibited.

2 Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format. ISBN 0-03-077923-5. 1 2 3 4 5 6 7 8 9 862 09 08 07 06. Copyright by Holt, Rinehart and Winston. All rights reserved. Contents Using KIN iv chapter 7 Key Vocabulary 106. Notetaking Strategies 2 Lesson 7-1 108. Lesson 7-2 109. chapter 1 Key Vocabulary 4 Lesson 7-3 111. Lesson 1-1 6 Lesson 7-4 113. Lesson 1-2 7 Lesson 7-5 115. Lesson 1-3 9 Lesson 7-6 117. Lesson 1-4 11 Lesson 7-7 118. Lesson 1-5 12 Lesson 7-8 119. Lesson 1-6 15 chapter 7 Review 120. Lesson 1-7 16 chapter 7 Big Idea Questions 123. Lesson 1-8 18. chapter 1 Review 20 chapter 8 Key Vocabulary 124. chapter 1 Big Idea Questions 23 Lesson 8-1 126. Lesson 8-2 127. chapter 2 Key Vocabulary 24 Lesson 8-3 128. Lesson 2-1 26 Lesson 8-4 129. Lesson 2-2 27 Lesson 8-5 130. Lesson 2-3 29 Lesson 8-6 131. Lesson 2-4 30 chapter 8 Review 132.

3 Lesson 2-5 31 chapter 8 Big Idea Questions 135. Lesson 2-6 32. Lesson 2-7 34 chapter 9 Key Vocabulary 136. Lesson 2-8 35 Lesson 9-1 138. Lesson 2-9 37 Lesson 9-2 140. Lesson 2-10 38 Lesson 9-3 143. chapter 2 Review 39 Lesson 9-4 144. chapter 2 Big Idea Questions 43 Lesson 9-5 145. Lesson 9-6 146. chapter 3 Key Vocabulary 44 Lesson 9-7 147. Lesson 3-1 46 Lesson 9-8 148. Lesson 3-2 47 Lesson 9-9 150. Lesson 3-3 48 chapter 9 Review 152. Lesson 3-4 50 chapter 9 Big Idea Questions 157. Lesson 3-5 51. Lesson 3-6 52 chapter 10 Key Vocabulary 158. chapter 3 Review 54 Lesson 10-1 160. chapter 3 Big Idea Questions 57 Lesson 10-2 161. Lesson 10-3 162. chapter 4 Key Vocabulary 58 Lesson 10-4 164. Lesson 4-1 60 Lesson 10-5 165. Lesson 4-2 61 Lesson 10-6 167. Lesson 4-3 62 Lesson 10-7 169. Lesson 4-4 63 Lesson 10-8 170. Lesson 4-5 64 chapter 10 Review 173. Lesson 4-6 66 chapter 10 Big Idea Questions 177. chapter 4 Review 67. chapter 4 Big Idea Questions 71 chapter 11 Key Vocabulary 178.

4 Lesson 11-1 180. chapter 5 Key Vocabulary 72 Lesson 11-2 181. Lesson 5-1 74 Lesson 11-3 182. Lesson 5-2 75 Lesson 11-4 184. Lesson 5-3 76 Lesson 11-5 185. Lesson 5-4 78 Lesson 11-6 187. Lesson 5-5 79 Lesson 11-7 189. Lesson 5-6 80 Lesson 11-8 190. Lesson 5-7 81 Lesson 11-9 191. Lesson 5-8 82 chapter 11 Review 192. Lesson 5-9 84 chapter 11 Big Idea Questions 196. chapter 5 Review 86. chapter 5 Big Idea Questions 91 chapter 12 Key Vocabulary 198. Lesson 12-1 200. chapter 6 Key Vocabulary 92 Lesson 12-2 201. Lesson 6-1 94 Lesson 12-3 203. Lesson 6-2 95 Lesson 12-4 204. Lesson 6-3 96 Lesson 12-5 205. Lesson 6-4 98 Lesson 12-6 206. Lesson 6-5 100 Lesson 12-7 207. Lesson 6-6 101 chapter 12 Review 208. chapter 6 Review 102 chapter 12 Big Idea Questions 211. chapter 6 Big Idea Questions 105. Copyright by Holt, Rinehart and Winston. All rights reserved. iii Algebra 1. USING THE KNOW-IT NOTEBOOK . This Know-It Notebook will help you take notes, organize your thinking, and study for quizzes and tests.

5 There are Know-It Notes pages for every lesson in your textbook. These notes will help you identify important mathematical information that you will need later. Know-It Notes Vocabulary One 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 definition and a clarifying example. Write each definition and example on the lines provided. Lesson Objectives Another good note-taking practice is to know the objective the content covers. Additional Examples Your textbook includes examples for each math concept taught. Additional examples in the Know-It Notebook help you take notes to remember how to solve different types 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 Out Complete the Check It Out problems that follow each lesson.

6 Use these to make sure you 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 answered incorrectly. chapter Vocabulary LESSON Variables and Expressions LESSON 1-1 CONTINUED. 1 1-1. This table contains important vocabulary terms from chapter 1. As you work Lesson Objectives To make 20 sleeping bags, 1700 bottles are needed. through the chapter , fill in the page number, definition, and a clarifying example Translate between words and Algebra ; Evaluate algebraic expressions. for each term. To make 50 sleeping bags, 4250 bottles are needed. Vocabulary Term Page Definition Clarifying Example To make 325 sleeping bags, 27,625 bottles are needed. variable (p. 6) A letter or symbol used to represent a value that can change. _____. absolute value 14 The distance of a 2 2. number from zero on _____.

7 The number line. 2 2 Check It Out! constant (p. 6) A value that does not change. _____. additive inverse 15 The opposite of a Subtracting 6 is the 1. Give two ways to write the algebraic expression in words. number used when same as adding the _____. 4 n subtracting numbers. inverse of 6, 6. An expression that may contain only constants and numerical expression (p. 6) _____. algebraic 6 An expression that may x 4. expression contain variables, operations. _____ 4 decreased by n constants, and n less than 4. operations. An expression that may contain variables, constants algebraic expression (p. 6) _____. 2. Elaine earns $32 per day. Write an expression for the amount that coefficient 48 A number multiplied by In the expression 3x, and operations. _____ she earns in d days. a variable. 3 is the coefficient. To find the value of an expression. evaluate (p. 7) _____. Y. coordinate plane 54 Formed by the intersection of two _____ 32d perpendicular number.

8 X 3. Evaluate the expression for m 3, n 2, and p 9. lines. n n . n . Additional Examples n . p n Example 1. exponent 26 The number that tells In the expression 54, 4 Give two ways to write each algebraic expression in words. how many times the is the exponent. 7. A. 9 r base is used as a factor 4. To make one sweater, sixty-three 20-ounce plastic drink bottles must in a power. be recycled. the sum of 9 and r integers 34 The whole numbers .., 3, 2, 1, 0, 1, 2, Write an expression for the number of bottles needed to make and their opposites. 3, .. s sweaters. 9 increased by r irrational 34 Numbers that cannot be 2 , 11. , . numbers a expressed in the form b B. q 3. including square roots 63s of whole numbers that the difference of q and 3. are not perfect squares and nonterminating 3 less than q decimals that do not repeat. like terms 47 Terms that contain the 4x and 3x same variables raised to the same powers. Copyright by Holt, Rinehart and Winston.

9 All rights reserved. 4 Algebra 1 Copyright by Holt, Rinehart and Winston. All rights reserved. 6 Algebra 1 Copyright by Holt, Rinehart and Winston. All rights reserved. 9 Algebra 1. Copyright by Holt, Rinehart and Winston. All rights reserved. iv Algebra 1. Key Concepts Key concepts from each lesson are included. These are indicated in your student book 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 Review Complete chapter Review problems that follow each lesson. This is a good review before 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 answered incorrectly. Big Ideas The Big Ideas have you summarize the important chapter concepts in your own words. Putting ideas in your words requires that you think about the ideas and understand them.

10 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 answered incorrectly. LESSON 1-1 CONTINUED chapter chapter Review chapter Big Ideas 1 1. Key Concepts 1-1 Variables and Expressions Answer these questions to summarize the important concepts from Think and Discuss (p. 8) chapter 1 in your own words. 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 and 1. Explain how adding numbers with the same sign is different from adding its corresponding algebraic expression in the right box. 1. a b 7 2. ac 24 numbers with different signs. 3. c b 4 4. c b 2. WORDS Algebra When adding numbers with the same sign, add their absolute 5. Amy runs 3 miles each day. values and use the sign of the numbers. When adding numbers with different signs, find their difference of their absolute values 3 more than x Addition x 3 a.