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Study Guide and

Intervention Workbook

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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.

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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. 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. ii_iv_PASGFM_890739.indd iiii_iv_PASGFM_890739.indd ii6/28/08 12:24:19 PM6/28/08 12:24:19 PM Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

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iii

Lesson/Title Page

1-1 Words and Expressions ............................1

1-2 Variables and Expressions .......................3

1-3 Properties .................................................5

1-4 Ordered Pairs and Relations ....................7

1-5 Words, Equations, Tables, and

Graphs ......................................................9

1-6 Scatter Plots ...........................................11

2-1 Integers and Absolute Value ..................13

2-2 Adding Integers ......................................15

2-3 Subtracting Integers ...............................17

2-4 Multiplying Integers .................................19

2-5 Dividing Integers .....................................21

2-6 Graphing in Four Quadrants ..................23

2-7 Translations and Re ections on

the Coordinate Plane ..............................25

3-1 Fractions and Decimals ..........................27

3-2 Rational Numbers ...................................29

3-3 Multiplying Rational Numbers .................31

3-4 Dividing Rational Numbers .....................33

3-5 Adding and Subtracting Like

Fractions .................................................35

3-6 Adding and Subtracting Unlike

Fractions .................................................37

4-1 The Distributive Property ........................39

4-2 Simplifying Algebraic Expressions ..........41

4-3 Solving Equations by Adding or

Subtracting ..............................................43

4-4 Solving Equations by Multiplying or

Dividing ...................................................45

4-5 Solving Two-Step Equations .................47

4-6 Writing Equations ...................................49

5-1 Perimeter and Area ................................51

5-2 Solving Equations with Variables

on Each Side ..........................................53

5-3 Inequalities ..............................................55

5-4 Solving Inequalities .................................57

5-5 Solving Multi-Step Equations and

Inequalities ..............................................59

6-1 Ratios ......................................................61

6-2 Unit Rates ...............................................63

6-3 Converting Rates and

Measurements ........................................65

6-4 Proportional and Nonproportional

Relationships ..........................................67

6-5 Solving Proportions ................................69

6-6 Scale Drawings and Models ...................71

Lesson/Title Page

6-7 Similar Figures ........................................73

6-8 Dilations ..................................................75

6-9 Indirect Measurement .............................77

7-1 Fractions and Percents ...........................79

7-2 Fractions, Decimals, and Percents .........81

7-3 Using the Percent Proportion .................83

7-4 Find Percent of a Number Mentally ........85

7-5 Using Percent Equations ........................87

7-6 Percent of Change ..................................89

7-7 Simple and Compound Interest ..............91

7-8 Circle Graphs ..........................................93

8-1 Functions ................................................95

8-2 Sequences and Equations ......................97

8-3 Representing Linear Functions .............99

8-4 Rate of Change ....................................101

8-5 Constant Rate of Change and

Direct Variation .....................................103

8-6 Slope .....................................................105

8-7 Slope-Intercept Form ............................107

8-8 Writing Linear Equations ......................109

8-9 Prediction Equations .............................111

8-10 Systems of Equations ...........................113

9-1 Powers and Exponents .........................115

9-2 Prime Factorization ...............................117

9-3 Multiplying and Dividing

Monomials ............................................119

9-4 Negative Exponents .............................121

9-5 Scienti c Notation .................................123

9-6 Powers of Monomials ...........................125

9-7 Linear and Nonlinear Functions ...........127

9-8 Quadratic Functions .............................129

9-9 Cubic and Exponential Functions .........131

10-1 Squares and Square Roots ................133

10-2 The Real Number System ..................135

10-3 Triangles .............................................137

10-4 The Pythagorean Theorem .................139

10-5 The Distance Formula ........................141

10-6 Special Right Triangles .......................143

11-1 Angle and Line Relationships .............145

11-2 Congruent Triangles ...........................147

11-3 Rotations .............................................149

11-4 Quadrilaterals .....................................151

11-5 Polygons .............................................153

11-6 Area of Parallelograms, Triangles,

and Trapezoids ...................................155

11-7 Circles and Circumference .................157

Contents

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iv

Lesson/Title Page

11-8 Area of Circles ....................................159

11-9 Area of Composite Figures .................161

12-1 Three-Dimensional Figures ................163

12-2 Volume of Prisms ...............................165

12-3 Volume of Cylinders ...........................167

12-4 Volume of Pyramids, Cones and

Spheres ..............................................169

12-5 Surface Area of Prisms ......................171

12-6 Surface Area of Cylinders ..................173

12-7 Surface Area of Pyramids and

Cones .................................................175

12-8 Similar Solids ......................................177

Lesson/Title Page

13-1 Measures of Central Tendency ..........179

13-2 Stem-and-Leaf Plots ...........................181

13-3 Measures of Variation .........................183

13-4 Box-and-Whisker Plots .......................185

13-5 Histograms ..........................................187

13-6 Theoretical and Experimental

Probability ...........................................189

13-7 Using Sampling to Predict ..................191

13-8 Counting Outcomes ............................193

13-9 Permutations and Combinations ........195

13-10 Probability of Compound Events ........197

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

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Chapter 1 1 Glencoe Pre-Algebra

Study Guide and Intervention

Words and Expressions

1-1 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 numbers.

Example

plus the sum of increased by more than minus the difference of decreased by less than times the product of of divide the quotient of divided by among

Phrase the product of seventeen and three

Expression 17 × 3

Write a numerical expression for each verbal phrase. a. the product of seventeen and three

Exercises

Write 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 pencils are shared among 6 students

Phrase 18 shared among 6

Expression 18 ÷ 6

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Chapter 1 2 Glencoe Pre-Algebra

1-1Study Guide and Intervention (continued)

Words and Expressions

Example Evaluate each expression.

b. 4(3 + 6) + 2 11

4(3 + 6) + 2

11 = 4(9) + 2

11 = 36 + 22 = 58

Evaluate (3 + 6).

Multiply 4 and 9, and 2 and 11.

Add 36 and 22.

Multiply 6 and 5.

Divide 10 by 2.

Subtract 5 from 30.

a. 6

5 - 10 ÷ 2

6

5 - 10 ÷ 2 = 30 - 10 ÷ 2

= 30 - 5 = 25

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)]

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 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.

c. 3[(7 + 5) ÷ 4 - 1]

3[(7 + 5) ÷ 4 - 1] = 3[12 ÷ 4 - 1]

= 3(3 - 1) = 3(2) = 6

Evaluate (7 + 5) first.

Divide 12 by 4.

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