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Homework Practice 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: 978-0-07-890740-1

MHID: 0-07-890740-3 Homework Practice 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

To the Student

This Homework Practice Workbook gives you additional 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 practice worksheets for every lesson in Glencoe Pre-Algebra.

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.

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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.

NAME DATE PERIOD

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Chapter 1 1 Glencoe Pre-Algebra

1-1 Write a numerical expression for each verbal phrase.

1. the difference of seventeen and three

2. eleven more than six

3. the sum of eight, twenty, and thirty-five

4. the quotient of forty and eight

5. one hundred decreased by twenty-five

6. three more than one dozen

7. the product of twenty and thirty

8. five less than fifty

Evaluate each expression.

9. 2 - 3

0 10. 25 ÷ 5 - 4

11. 5 + 2 - 3 12. 2

5 + 6

13. 9 ÷ 3

2 + 1 14. 5 + 2

8 + 2 - 5

15. 4 + 2

8 16. 30 - 12

2

17. 5 + 2

3 + 4 18. 10 - 2

4 - 1

19. 15 - 10 ÷ 2 20. 25 - 6

4 + 9

21. (14 + 6) ÷ 5 22. 100 + 50 ÷ 10

23. 14 - (4

2) 24. (3 + 4)

(5 + 3)

25. 6(4 + 5) 26.

8 9 3 4

27. (2 + 3)

5 + 1 28. 24 - 24 ÷ 8

29. 56 ÷ (3 + 4) 30. 2[(4 + 5)

3]

Skills Practice

Words and Expressions

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

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Chapter 1 2 Glencoe Pre-Algebra

1-1 Write a numerical expression for each verbal phrase.

1. thirty-one increased by fourteen

2. the difference of sixteen and nine

3. the sum of seven, four, and eighteen

4. three times forty

5. the quotient of eighty-one and three

6. four more than the product of seven and eight

7. the cost of three slices of pizza at $2 each

8. the number of days in six weeks

Evaluate each expression.

9. 4 + 2

8 10. 30 - 12

2

11. 6(6 ÷ 2)

9 12. 6(6) ÷ 2

9

13. 6(6) ÷ (2

9) 14. 6(6 ÷ 2

9)

15. 12 - 2

5 + 3 16. (4 + 5)

(4 + 5)

17. 100 ÷ (16 + 9)

6 18. 25 + 30 ÷ 6

5

19. 16 - 49 ÷ 7

2 20. (2

11 + 1) - (3

6 + 5)

21.

4 (10 + 2)

2 (24 ÷ 3)

22. 2 + 4

6 - 3 5 + 6 2

23. (8 + 4)

(6 - 3) 24.

2 (6 + 4)

2 8 - 6

25. 4(8 + 2

5 - 6) 26. 2(105 ÷ 15 - 6)

27. 14 ÷ 2

5 + 3 28. 4(4 + 5) ÷ 3(10 - 7)

29. BOWLING Alicia rented bowling shoes for $3 and played 4 games at $2 each. Write and

evaluate an expression for the total cost of bowling.

30. TICKETS Adult tickets for a movie cost $6 and childrens tickets cost $3. If two adults

and three children go to the movies, how much will they pay?

Practice

Words and Expressions

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

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Chapter 1 3 Glencoe Pre-Algebra

1-2Skills Practice

Variables and Expressions

ALGEBRA Translate each phrase into an algebraic expression.

1. two inches shorter than Kathryns height

2. the quotient of some number and thirteen

3. some number added to seventeen

4. six centimeters shorter than the length of the pencil

5. three pounds lighter than Adlais weight

6. the difference of some number and eighteen

7. three dollars more than the cost of a ticket

8. eight more than the product of a number and four

9. half as many pieces of candy

10. twice as long as the length of the string

ALGEBRA Evaluate each expression if x = 4, y = 6, and z = 3.

11. x + y + z 12. 3x + y

13. x - z 14. x + y - 3z

15. 15z 16. 3(x + z)

17. xz ÷ y 18. yz - x

ALGEBRA Evaluate each expression if a = 7, b = 9, c = 2, and d = 5.

19. a + b + c 20. a + b - (c + d)

21. 3a + 4d 22. bcd

23. (a + b)

(c + d) 24. c(4 + d) 25.
b a + c

26. a + b - 3c

27. ab - cd 28.

bc a - d

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

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Chapter 1 4 Glencoe Pre-Algebra

ALGEBRA Translate each phrase into an algebraic expression.

1. six times a number minus eleven

2. the product of eight hundred and a number

3. the quotient of thirty and the product of ten times a number

4. five times the sum of three and some number

5. half the distance to the school

ALGEBRA Evaluate each expression if x = 12, y = 20, and z = 4.

6. x + y + z 7. 4x - y

8. 3x + 2y 9. y - 3z

10. x + y ÷ z 11. yz + x

12. (y - x) + (y - z) 13.

y x x y 14. 5x 3y

15. z(y - x) + 4z

ALGEBRA Evaluate each expression if a = 3, b = 6, c = 5, and d = 9.

16. a + b + c + d 17.

(a + b + c) 2

18. ab + bc 19. 6d - c

c

20. 3(a + b + c) 21.

100
5c

22. abc 23. 10(6c - 3d)

24.

2 (a + b)

6 b - c

25. 4[(d - a) + c]

26. RECYCLING In order to encourage recycling, the city is offering five cents for every

pound of newspapers collected, twenty-five cents per pound for cans, and ten cents per pound for glass bottles or jars. a. Write an expression for the total amount earned from recycling. b. If Chen brings in ten pounds of newspapers, eight pounds of cans, and two pounds of glass, how much will he receive?

1-2Practice

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