Study Guide and Intervention Workbook

1 Study Guide and Intervention Workbook To the Student This Study Guide and Intervention 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 two Study Guide and Intervention worksheets for every lesson in Glencoe Pre-Algebra. Always keep your Workbook handy. Along with your textbook, daily homework, and class notes, the completed Study Guide and Intervention Workbook can help you in reviewing for quizzes and tests. To the Teacher These worksheets are the same ones found in the Chapter Resource Masters for Glencoe Pre-Algebra.

2 The answers to these worksheets are available at the end of each Chapter Resource Masters booklet as well as in your Teacher Edition interleaf pages. 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: 978-0-07-890739-5. MHID: 0-07-890739-X Study Guide and Intervention Workbook , Pre-Algebra Printed in the United States of America. 1 2 3 4 5 6 7 8 9 10 066 14 13 12 11 10 09 08. Contents Lesson/Title Page Lesson/Title Page 1-1 Words and 1 6-7 Similar Figures.

3 73. 1-2 Variables and Expressions .. 3 6-8 Dilations .. 75. 1-3 Properties .. 5 6-9 Indirect Measurement .. 77. 1-4 Ordered Pairs and Relations .. 7. 1-5 Words, Equations, Tables, and 7-1 Fractions and 79. Graphs .. 9 7-2 Fractions, Decimals, and Percents .. 81. 1-6 Scatter Plots .. 11 7-3 Using the Percent Proportion .. 83. 7-4 Find Percent of a Number Mentally .. 85. 2-1 Integers and Absolute Value .. 13 7-5 Using Percent Equations .. 87. 2-2 Adding Integers .. 15 7-6 Percent of 89. 2-3 Subtracting Integers .. 17 7-7 Simple and Compound Interest .. 91. 2-4 Multiplying Integers .. 19 7-8 Circle Graphs .. 93. 2-5 Dividing Integers .. 21. 2-6 Graphing in Four Quadrants .. 23 8-1 Functions .. 95. 2-7 Translations and Reflections on 8-2 Sequences and 97.

4 The Coordinate Plane .. 25 8-3 Representing Linear Functions .. 99. 8-4 Rate of Change .. 101. 3-1 Fractions and Decimals .. 27 8-5 Constant Rate of Change and 3-2 Rational Numbers .. 29 Direct Variation .. 103. 3-3 Multiplying Rational Numbers .. 31 8-6 105. 3-4 Dividing Rational Numbers .. 33 8-7 Slope-Intercept Form .. 107. 3-5 Adding and Subtracting Like 8-8 Writing Linear Equations .. 109. Fractions .. 35 8-9 Prediction Equations .. 111. 3-6 Adding and Subtracting Unlike 8-10 Systems of 113. Fractions .. 37. 9-1 Powers and 115. Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4-1 The Distributive Property .. 39 9-2 Prime Factorization .. 117. 4-2 Simplifying Algebraic 41 9-3 Multiplying and Dividing 4-3 Solving Equations by Adding or Monomials.

5 119. 43 9-4 Negative Exponents .. 121. 4-4 Solving Equations by Multiplying or 9-5 Scientific Notation .. 123. Dividing .. 45 9-6 Powers of Monomials .. 125. 4-5 Solving Two-Step Equations .. 47 9-7 Linear and Nonlinear Functions .. 127. 4-6 Writing Equations .. 49 9-8 Quadratic Functions .. 129. 9-9 Cubic and Exponential Functions .. 131. 5-1 Perimeter and Area .. 51. 5-2 Solving Equations with Variables 10-1 Squares and Square Roots .. 133. on Each Side .. 53 10-2 The Real Number System .. 135. 5-3 55 10-3 Triangles .. 137. 5-4 Solving Inequalities .. 57 10-4 The Pythagorean 139. 5-5 Solving Multi-Step Equations and 10-5 The Distance Formula .. 141. 59 10-6 Special Right 143. 6-1 61 11-1 Angle and Line Relationships.

6 145. 6-2 Unit Rates .. 63 11-2 Congruent Triangles .. 147. 6-3 Converting Rates and 11-3 149. Measurements .. 65 11-4 Quadrilaterals .. 151. 6-4 Proportional and Nonproportional 11-5 Polygons .. 153. Relationships .. 67 11-6 Area of Parallelograms, Triangles, 6-5 Solving Proportions .. 69 and Trapezoids .. 155. 6-6 Scale Drawings and Models .. 71 11-7 Circles and Circumference .. 157. iii Lesson/Title Page Lesson/Title Page 11-8 Area of Circles .. 159 13-1 Measures of Central Tendency .. 179. 11-9 Area of Composite Figures .. 161 13-2 Stem-and-Leaf Plots .. 181. 13-3 Measures of 183. 12-1 Three-Dimensional Figures .. 163 13-4 Box-and-Whisker Plots .. 185. 12-2 Volume of Prisms .. 165 13-5 187. 12-3 Volume of Cylinders.

7 167 13-6 Theoretical and Experimental 12-4 Volume of Pyramids, Cones and Probability .. 189. Spheres .. 169 13-7 Using Sampling to Predict .. 191. 12-5 Surface Area of Prisms .. 171 13-8 Counting Outcomes .. 193. 12-6 Surface Area of Cylinders .. 173 13-9 Permutations and Combinations .. 195. 12-7 Surface Area of Pyramids and 13-10 Probability of Compound Events .. 197. Cones .. 175. 12-8 Similar Solids .. 177. Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. iv NAME DATE PERIOD. 1-1 Study Guide and Intervention Words and Expressions Translate Verbal Phrases into Expressions A numerical expression contains a combination of numbers and operations such as addition, subtraction, multiplication, and division.

8 Verbal phrases can be translated into numerical expressions by replacing words with operations and numbers. + - . plus minus times divide the sum of the difference the product the quotient of of of increased decreased by of divided by by more than less than among Example Write a numerical expression for each verbal phrase. a. the product of seventeen and three Phrase the product of seventeen and three Expression 17 3. b. the total number of pencils given to each student if 18 pencils are shared among 6 students Phrase 18 shared among 6. Expression 18 6. Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Exercises Write a numerical expression for each verbal phrase. 1. eleven less than twenty 2.

9 Twenty-five increased by six 3. sixty-four divided by eight 4. the product of seven and twelve 5. the quotient of forty and eight 6. sixteen more than fifty four 7. six groups of twelve 8. eighty one decreased by nine 9. the sum of thirteen and eighteen 10. three times seventeen Chapter 1 1 Glencoe Pre-Algebra NAME DATE PERIOD. 1-1 Study Guide and Intervention (continued). Words and Expressions Order of Operations Evaluate, or find the numerical value of, expressions with more than one operation by following the order of operations. Step 1 Evaluate the expressions inside grouping symbols. Step 2 Multiply and/or divide from left to right. Step 3 Add and/or subtract from left to right. Example Evaluate each expression.

10 A. 6 5 - 10 2. 6 5 - 10 2 = 30 - 10 2 Multiply 6 and 5. = 30 - 5 Divide 10 by 2. = 25 Subtract 5 from 30. b. 4(3 + 6) + 2 11. 4(3 + 6) + 2 11 = 4(9) + 2 11 Evaluate (3 + 6). = 36 + 22 Multiply 4 and 9, and 2 and 11. = 58 Add 36 and 22. c. 3[(7 + 5) 4 - 1]. Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3[(7 + 5) 4 - 1] = 3[12 4 - 1] Evaluate (7 + 5) first. = 3(3 - 1) Divide 12 by 4. = 3(2) Subtract 1 from 3. =6 Multiply 3 and 2. Exercises Evaluate each expression. 1. 6 + 3 9 2. 7 + 7 3 3. 14 - 6 + 8. 4. 26 - 4 + 9 5. 10 5 3 6. 22 11 6. 7. 2(6 + 2) - 4 3 8. 5(6 + 1) - 3 3 9. 2[(13 - 4) + 2(2)]. (67 + 13). 10. 4[(10 - 6) + 6(2)] 11. 12. 6(4 - 2) + 8. (34 - 29). 4(18). 13. 3[(2 + 7) 9] - 3 14.