Study Guide and Intervention Workbook - Mr. Swan

1 Study Guide and Intervention Workbook Pdf 16/26/08 8:10:02 PM6/26/08 8:10:02 PM Pdf 3rdCopyright by The McGraw-Hill Companies, Inc. All rights 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 all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240 ISBN: 978-0-07-890739-5 MHID: 0-07-890739-X Study Guide and Intervention Workbook , Pre-AlgebraPrinted in the United States of 2 3 4 5 6 7 8 9 10 066 14 13 12 11 10 09 08To the StudentThis 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.

2 The materials are organized by chapter and lesson, with two Study Guide and Intervention worksheets for every lesson in Glencoe 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 the TeacherThese worksheets are the same ones found in the chapter Resource Masters for Glencoe Pre- algebra . The answers to these worksheets are available at the end of each chapter Resource Masters booklet as well as in your Teacher Edition interleaf ii6/28/08 12:24:19 PM6/28/08 12:24:19 PMCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Pdf Pass Pdf PassiiiLesson/Title Page1-1 Words and Expressions .. 11-2 Variables and Expressions .. 31-3 Properties .. 51-4 Ordered Pairs and Relations .. 71-5 Words, equations , Tables, andGraphs.

3 91-6 Scatter Plots .. 112-1 Integers and Absolute Value .. 132-2 Adding Integers .. 152-3 Subtracting Integers .. 172-4 Multiplying Integers .. 192-5 Dividing Integers .. 212-6 Graphing in Four Quadrants .. 232-7 Translations and Refl ections onthe Coordinate Plane .. 253-1 Fractions and Decimals .. 273-2 Rational Numbers .. 293-3 Multiplying Rational Numbers .. 313-4 Dividing Rational Numbers .. 333-5 Adding and Subtracting LikeFractions .. 353-6 Adding and Subtracting UnlikeFractions .. 374-1 The Distributive Property .. 394-2 Simplifying Algebraic Expressions .. 414-3 Solving equations by Adding orSubtracting .. 434-4 Solving equations by Multiplying orDividing .. 454-5 Solving Two-Step equations .. 474-6 Writing equations .. 495-1 Perimeter and Area .. 515-2 Solving equations with Variableson Each Side .. 535-3 Inequalities.

4 555-4 Solving Inequalities .. 575-5 Solving Multi-Step equations andInequalities .. 596-1 Ratios .. 616-2 Unit Rates .. 636-3 Converting Rates andMeasurements .. 656-4 Proportional and Nonproportional Relationships .. 676-5 Solving Proportions .. 696-6 Scale Drawings and Models .. 71 Lesson/Title Page6-7 Similar Figures .. 736-8 Dilations .. 756-9 Indirect Measurement .. 777-1 Fractions and Percents .. 797-2 Fractions, Decimals, and Percents .. 817-3 Using the Percent Proportion .. 837-4 Find Percent of a Number Mentally .. 857-5 Using Percent equations .. 877-6 Percent of Change .. 897-7 Simple and Compound Interest .. 917-8 Circle Graphs .. 938-1 Functions .. 958-2 Sequences and equations .. 978-3 Representing Linear Functions .. 998-4 Rate of Change .. 1018-5 Constant Rate of Change andDirect Variation .. 1038-6 Slope.

5 1058-7 Slope-Intercept Form .. 1078-8 Writing Linear equations .. 1098-9 Prediction equations .. 1118-10 Systems of equations .. 1139-1 Powers and Exponents .. 1159-2 Prime Factorization .. 1179-3 Multiplying and DividingMonomials .. 1199-4 Negative Exponents .. 1219-5 Scientifi c Notation .. 1239-6 Powers of Monomials .. 1259-7 Linear and Nonlinear Functions .. 1279-8 Quadratic Functions .. 1299-9 Cubic and Exponential Functions .. 13110-1 Squares and Square Roots .. 13310-2 The Real Number System .. 13510-3 Triangles .. 13710-4 The Pythagorean Theorem .. 13910-5 The Distance Formula .. 14110-6 Special Right Triangles .. 14311-1 Angle and Line Relationships .. 14511-2 Congruent Triangles .. 14711-3 Rotations .. 14911-4 Quadrilaterals .. 15111-5 Polygons .. 15311-6 Area of Parallelograms, Triangles,and Trapezoids .. 15511-7 Circles and Circumference.

6 Iii6/9/08 11:09:39 AM6/9/08 11:09:39 AMCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Pdf PassivLesson/Title Page11-8 Area of Circles .. 15911-9 Area of Composite Figures .. 16112-1 Three-Dimensional Figures .. 16312-2 Volume of Prisms .. 16512-3 Volume of Cylinders .. 16712-4 Volume of Pyramids, Cones and Spheres .. 16912-5 Surface Area of Prisms .. 17112-6 Surface Area of Cylinders .. 17312-7 Surface Area of Pyramids andCones .. 17512-8 Similar Solids .. 177 Lesson/Title Page13-1 Measures of Central Tendency .. 17913-2 Stem-and-Leaf Plots .. 18113-3 Measures of Variation .. 18313-4 Box-and-Whisker Plots .. 18513-5 Histograms .. 18713-6 Theoretical and ExperimentalProbability .. 18913-7 Using Sampling to Predict .. 19113-8 Counting Outcomes .. 19313-9 Permutations and Combinations.

7 19513-10 Probability of Compound Events .. iv6/9/08 11:09:42 AM6/9/08 11:09:42 AMCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, DATE PERIOD Pdf PassChapter 1 1 Glencoe Pre-AlgebraStudy Guide and InterventionWords and Expressions1-1 Translate Verbal Phrases into Expressions A numerical expression contains a combination of numbers and operations such as addition, subtraction, multiplication, and division. Verbal phrases can be translated into numerical expressions by replacing words with operations and sum ofincreasedbymore thanminusthe differenceofdecreased byless thantimesthe productofofdividethe quotientofdivided byamong+- Phrase the product of seventeen and threeExpression 17 3 Write a numerical expression for each verbal phrase.

8 A. the product of seventeen and threeExercisesWrite a numerical expression for each verbal phrase. 1. eleven less than twenty 2. 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 b. the total number of pencils given to each student if 18 pencilsare shared among 6 studentsPhrase 18 shared among 6 Expression 18 15/5/08 6:48:11 PM5/5/08 6:48:11 PMCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, DATE PERIOD Pdf PassChapter 1 2 Glencoe Pre-Algebra1-1 Study Guide and Intervention (continued)Words and ExpressionsExample Evaluate each 4(3 + 6) + 2 11 4(3 + 6) + 2 11 = 4(9) + 2 11 = 36 + 22 = 58 Evaluate (3 + 6).

9 Multiply 4 and 9, and 2 and 36 and 6 and 10 by 5 from 6 5 - 10 2 6 5 - 10 2 = 30 - 10 2 = 30 - 5 = 25 ExercisesEvaluate 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)] 10. 4[(10 - 6) + 6(2)] 11. (67 + 13) (34 - 29) 12. 6(4 - 2) + 8 13. 3[(2 + 7) 9] - 3 14. (8 7) 14 - 1 15. 4 (18) 2 (9) 16. (9 8) - (100 5) Order of Operations Evaluate, or find the numerical value of, expressions with more than one operation by following the order of 1 Evaluate the expressions inside grouping 2 Multiply and/or divide from left to 3 Add and/or subtract from left to 3[(7 + 5) 4 - 1] 3[(7 + 5) 4 - 1] = 3[12 4 - 1] = 3(3 - 1) = 3(2) = 6 Evaluate (7 + 5) 12 by 1 from 3 and 25/5/08 6:48:17 PM5/5/08 6:48:17 PMCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, DATE PERIOD Pdf PassChapter 1 3 Glencoe Pre-AlgebraExercisesTranslate each phrase into an algebraic expression.

10 1. eight inches taller than Mycala s height 2. twelve more than four times a number 3. the difference of sixty and a number 4. three times the number of tickets sold 5. fifteen dollars more than a saved amount 6. the quotient of the number of chairs and four 7. a number of books less than twenty-three 8. five more than six times a number 9. seven more boys than girls 10. twenty dollars divided among a number of friends minus threeStudy Guide and InterventionVariables and Expressions1-2 Translate Verbal Phrases An algebraic expression is a combination of variables, numbers, and at least one operation. A variable is a letter or symbol used to represent an unknown value. To translate verbal phrases with an unknown quantity into algebraic expressions, first define the Translate each phrase into an algebraic expression. a. five inches longer than the length of a bookWords five inches longer than the length of a bookVariable Let b represent the length of the b + 5 b.