Study Guide and Intervention and Practice Workbook

1 Study Guide and Intervention and Practice Workbook To the Student This Study Guide and Intervention and Practice Workbook gives you additional examples and problems for the concept exercises in each lesson. The exercises are designed to aid your Study of mathematics by reinforcing important mathematical skills needed to succeed in the everyday world. The materials are organized by chapter and lesson, with one Study Guide and Intervention and Practice worksheet for every lesson in Glencoe Math Connects, Course 3. Always keep your Workbook handy. Along with your textbook, daily homework, and class notes, the completed Study Guide and Intervention and Practice Workbook can help you review for quizzes and tests. To the Teacher These worksheets are the same as those found in the Chapter Resource Masters for Glencoe Math Connects, Course 3. The answers to these worksheets are available at the end of each Chapter Resource Masters booklet as well as in your Teacher Wraparound Edition interleaf pages.

2 Copyright by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior written permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240. ISBN: 978-0-07-881076-3. MHID: 0-07-881076-0 Study Guide and Intervention and Practice Workbook , Course 3. Printed in the United States of America 1 2 3 4 5 6 7 8 9 10 045 14 13 12 11 10 09 08 07. CONTENTS. Lesson/Title Page Lesson/Title Page 1-1 A Plan for Problem solving ..1 2-8 Problem- solving Investigation: Look 1-1 A Plan for Problem solving ..2 for a Pattern ..36. 1-2 Variables, Expressions, and Properties ..3 2-9 Powers and Exponents ..37. 1-2 Variables, Expressions, and Properties ..4 2-9 Powers and Exponents.

3 38. 1-3 Integers and Absolute Values ..5 2-10 Scientific Notation ..39. 1-3 Integers and Absolute Values ..6 2-10 Scientific Notation ..40. 1-4 Adding Integers ..7 3-1 Square Roots ..41. 1-4 Adding Integers ..8 3-1 Square Roots ..42. 1-5 Subtracting Integers ..9 3-2 Estimating Square Roots ..43. 1-5 Subtracting Integers ..10 3-2 Estimating Square Roots ..44. 1-6 Multiplying and Dividing Integers ..11 3-3 Problem- solving Investigation: 1-6 Multiplying and Dividing Integers ..12 Use a Venn Diagram ..45. 1-7 Writing Equations ..13 3-3 Problem- solving Investigation: 1-7 Writing Equations ..14 Use a Venn Diagram ..46. 1-8 Problem- solving Investigation: Work 3-4 The Real Number 3-4 The Real Number 1-8 Problem- solving Investigation: Work 3-5 The Pythagorean Theorem ..49. 3-5 The Pythagorean Theorem ..50. 1-9 solving Addition and Subtraction 3-6 Using the Pythagorean Theorem ..51. Equations ..17 3-6 Using the Pythagorean Theorem.

4 52. 1-9 solving Addition and Subtraction 3-7 Distance on the Coordinate Plane ..53. Equations ..18 3-7 Distance on the Coordinate Plane ..54. 1-10 solving Multiplication and Division 4-1 Ratios and Rates ..55. Equations ..19 4-1 Ratios and Rates ..56. 1-10 solving Multiplication and Division 4-2 Proportional and Nonproportional Equations ..20 2-1 Rational Numbers ..21 4-2 Proportional and Nonproportional 2-1 Rational 22 2-2 Comparing and Ordering Rational 4-3 Rate of Change ..59. 4-3 Rate of Change ..60. 2-2 Comparing and Ordering Rational 4-4 Constant Rate of Change ..61. 4-4 Constant Rate of Change ..62. 2-3 Multiplying Positive and Negative 4-5 solving 4-5 solving 2-3 Multiplying Positive and Negative 4-6 Problem- solving Investigation: Draw a 2-4 Dividing Positive and Negative 4-6 Problem- solving Investigation: Draw a 2-4 Dividing Positive and Negative 4-7 Similar 4-7 Similar 2-5 Adding and Subtracting Like 4-8 Dilations.

5 69. 4-8 Dilations ..70. 2-5 Adding and Subtracting Like 4-9 Indirect Measurement ..71. 4-9 Indirect Measurement ..72. 2-6 Adding and Subtracting Unlike 4-10 Scale Drawings and Models ..73. 4-10 Scale Drawings and Models ..74. 2-6 Adding and Subtracting Unlike 5-1 Ratios and Percents ..75. 5-1 Ratios and Percents ..76. 2-7 solving Equations with Rational 5-2 Comparing Fractions, Decimals, and Percents ..77. 2-7 solving Equations with Rational 5-2 Comparing Fractions, Decimals, and Percents ..78. 2-8 Problem- solving Investigation: Look 5-3 Algebra: The Percent for a Pattern ..35 5-3 Algebra: The Percent iii Lesson/Title Page Lesson/Title Page 5-4 Finding Percents Mentally ..81 8-3 Writing Two-Step Equations ..130. 5-4 Finding Percents Mentally ..82 8-4 solving Equations with Variables on 5-5 Problem- solving Investigation: Each Reasonable Answers ..83 8-4 solving Equations with Variables on 5-5 Problem- solving Investigation: Each Reasonable Answers.

6 84 8-5 Problem- solving Investigation: 5-6 Percent and Estimation ..85 Guess and 5-6 Percent and Estimation ..86 8-5 Problem- solving Investigation: 5-7 Algebra: The Percent Equation ..87 Guess and 5-7 Algebra: The Percent Equation ..88 8-6 inequalities ..135. 5-8 Percent of Change ..89 8-6 inequalities ..136. 5-8 Percent of Change ..90 8-7 solving inequalities by Adding and 5-9 Simple Interest ..91 Subtracting ..137. 5-9 Simple Interest ..92 8-7 solving inequalities by Adding and 6-1 Line and Angle Relationships ..93 Subtracting ..138. 6-1 Line and Angle Relationships ..94 8-8 solving inequalities by Multiplying or 6-2 Problem- solving Investigation: Dividing ..139. Use Logical Reasoning ..95 8-8 solving inequalities by Multiplying or 6-2 Problem- solving Investigation: Dividing ..140. Use Logical Reasoning ..96 9-1 Sequences ..141. 6-3 Polygons and Angles ..97 9-1 Sequences ..142. 6-3 Polygons and Angles.

7 98 9-2 6-4 Congruent 9-2 6-4 Congruent 9-3 Representing Linear Functions ..145. 6-5 Symmetry ..101 9-3 Representing Linear Functions ..146. 6-5 Symmetry ..102 9-4 Slope ..147. 6-6 Reflections ..103 9-4 Slope ..148. 6-6 Reflections ..104 9-5 Direct Variation ..149. 6-7 Translations ..105 9-5 Direct Variation ..150. 6-7 Translations ..106 9-6 Slope-Intercept Form ..151. 7-1 Circumference and Area of Circles ..107 9-6 Slope-Intercept Form ..152. 7-1 Circumference and Area of Circles ..108 9-7 Systems of Equations ..153. 7-2 Problem- solving Investigation: Solve a 9-7 Systems of Equations ..154. Simpler Program ..109 9-8 Problem- solving Investigation: 7-2 Problem- solving Investigation: Solve a Use a Simpler Program ..110 9-8 Problem- solving Investigation: 7-3 Area of Composite Figures ..111 Use a 7-3 Area of Composite Figures ..112 9-9 Scatter 7-4 Three-Dimensional 9-9 Scatter 7-4 Three-Dimensional 10-1 Linear and Nonlinear Functions.

8 159. 7-5 Volume of Prisms and Cylinders ..115 10-1 Linear and Nonlinear Functions ..160. 7-5 Volume of Prisms and Cylinders ..116 10-2 graphing quadratic Functions ..161. 7-6 Volume of Pyramids and 10-2 graphing quadratic Functions ..162. 7-6 Volume of Pyramids and 10-3 Problem- solving Investigation: 7-7 Surface Area of Prisms and Make a Cylinders ..119 10-3 Problem- solving Investigation: 7-7 Surface Area of Prisms and Make a Cylinders ..120 10-4 graphing Cubic 7-8 Surface Area of Pyramids ..121 10-4 graphing Cubic 7-8 Surface Area of Pyramids ..122 10-5 Multiplying 7-9 Similar Solids ..123 10-5 Multiplying 7-9 Similar Solids ..124 10-6 Dividing Monomials ..169. 8-1 Simplifying Algebraic Expressions ..125 10-6 Dividing Monomials ..170. 8-1 Simplifying Algebraic Expressions ..126 10-7 Powers of Monomials ..171. 8-2 solving Two-Step 10-7 Powers of Monomials ..172. 8-2 solving Two-Step 10-8 Roots of Monomials.

9 173. 8-3 Writing Two-Step Equations ..129 10-8 Roots of Monomials ..174. iv Lesson/Title Page 11-1 Problem- solving Investigation: Make a Table ..175. 11-1 Problem- solving Investigation: Make a Table ..176. 11-2 Histograms ..177. 11-2 Histograms ..178. 11-3 Circle Graphs ..179. 11-3 Circle Graphs ..180. 11-4 Measures of Central Tendency and 11-4 Measures of Central Tendency and 11-5 Measures of Variation ..183. 11-5 Measures of Variation ..184. 11-6 Box-and-Whisker 11-6 Box-and-Whisker 11-7 Stem-and-Leaf Plots ..187. 11-7 Stem-and-Leaf Plots ..188. 11-8 Select an Appropriate 11-8 Select an Appropriate 12-1 Counting Outcomes ..191. 12-1 Counting Outcomes ..192. 12-2 Probability of Compound 12-2 Probability of Compound 12-3 Experimental and Theoretical Probability ..195. 12-3 Experimental and Theoretical Probability ..196. 12-4 Problem- solving Investigation: Act it Out ..197. 12-4 Problem- solving Investigation: Act it Out.

10 198. 12-5 Using Sampling to 12-5 Using Sampling to v NAME _____ DATE _____ PERIOD _____. 1-1 Study Guide and Intervention A Plan for Problem solving You can always use the four-step plan to solve a problem. Lesson 1-1. Understand Determine what information is given in the problem and what you need to find. Plan Select a strategy including a possible estimate. Solve Solve the problem by carrying out your plan. Check Examine your answer to see if it seems reasonable. Example 1 Plant A and Plant B are two new experimental apple trees being grown in a laboratory. The table displays their heights, in millimeters, when they are 5 to 10 days old. Day 5 6 7 8 9 10. Plant A 36 39 42 45 48 51. Plant B 32 36 40 44 48 52. Estimate the height of each plant on day 12. Understand You know their heights for days 5 to 10. You need to determine their heights in two more days. Plan Determine whether there is a pattern and extend that pattern to day 12.