INSTRUCTOR’S
SOLUTIONS MANUAL
BEVERLY FUSFIELD
D EVELOPMENTAL M ATHEMATICS
B ASIC M ATHEMATICS AND A LGEBRA
FOURTH EDITION
Margaret L. Lial
American River College
John Hornsby
University of New Orleans
Terry McGinnis
Stanley A. Salzman
American River College
Diana L. Hestwood
Minneapolis Community and Technical College
VERIFIEDBRAINBOOSTER
,The author and publisher of this book have used their best efforts in preparing this book. These efforts include the
development, research, and testing of the theories and programs to determine their effectiveness. The author and publisher
make no warranty of any kind, expressed or implied, with regard to these programs or the documentation contained in this
book. The author and publisher shall not be liable in any event for incidental or consequential damages in connection with,
or arising out of, the furnishing, performance, or use of these programs.
Reproduced by Pearson from electronic files supplied by the author.
Copyright © 2018, 2014, 2010 Pearson Education, Inc.
Publishing as Pearson, 330 Hudson Street, NY NY 10013
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form
or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the
publisher. Printed in the United States of America.
ISBN-13: 978-0-13-454122-8
ISBN-10: 0-13-454122-7
VERIFIEDBRAINBOOSTER
, Table of Contents
1 Whole Numbers.............................................................................................................................1
1.1 Reading and Writing Whole Numbers • ......................................................... 1
1.2 Adding Whole Numbers • .............................................................................. 2
1.3 Subtracting Whole Numbers • ........................................................................ 9
1.4 Multiplying Whole Numbers • ....................................................................... 16
1.5 Dividing Whole Numbers • ............................................................................ 24
1.6 Long Division • .............................................................................................. 30
1.7 Rounding Whole Numbers • ........................................................................... 36
1.8 Exponents, Roots, and Order of Operations • ................................................. 43
1.9 Reading Pictographs, Bar Graphs, and Line Graphs • .................................... 47
1.10 Solving Application Problems • ..................................................................... 49
Chapter 1 Review Exercises • ......................................................................... 60
Chapter 1 Mixed Review Exercises • ............................................................. 68
Chapter 1 Test • .............................................................................................. 70
2 Multiplying and Dividing Fractions.......................................................................................... 73
1.1 Basics of Fractions • ....................................................................................... 73
1.2 Mixed Numbers • ............................................................................................ 74
1.3 Factors • .......................................................................................................... 81
1.4 Writing a Fraction in Lowest Terms • ............................................................ 88
1.5 Multiplying Fractions • ................................................................................... 92
1.6 Applications of Multiplication • ..................................................................... 96
1.7 Dividing Fractions • ........................................................................................ 100
1.8 Multiplying and Dividing Mixed Numbers • .................................................. 104
Chapter 1 Review Exercises • ......................................................................... 110
Chapter 2 Mixed Review Exercises • ............................................................. 113
Chapter 1 Test • .............................................................................................. 114
3 Adding and Subtracting Fractions.......................................................................................... 117
3.1 Adding and Subtracting Like Fractions • ....................................................... 117
3.2 Least Common Multiples • ............................................................................. 119
3.3 Adding and Subtracting Unlike Fractions • .................................................... 125
3.4 Adding and Subtracting Mixed Numbers • ..................................................... 130
3.5 Order Relations and the Order of Operations • ............................................... 140
Chapter 3 Review Exercises • ......................................................................... 146
Chapter 3 Mixed Review Exercises • .............................................................. 150
Chapter 3 Test • .............................................................................................. 152
Copyright © 2018 Pearson Education, Inc.
VERIFIEDBRAINBOOSTER
, 4 Decimals.....................................................................................................................................154
4.1 Reading and Writing Decimal Numbers • ...................................................... 154
4.2 Rounding Decimal Numbers • ........................................................................ 157
4.3 Adding and Subtracting Decimal Numbers • ................................................. 162
4.4 Multiplying Decimal Numbers • ..................................................................... 168
4.5 Dividing Decimal Numbers • ......................................................................... 174
4.6 Fractions and Decimals • ................................................................................ 183
Chapter 4 Review Exercises • ......................................................................... 190
Chapter 4 Mixed Review Exercises • .............................................................. 194
Chapter 4 Test • .............................................................................................. 195
5 Ratio and Proportion................................................................................................................198
5.1 Ratios • ........................................................................................................... 198
5.2 Rates • ............................................................................................................. 202
5.3 Proportions • ................................................................................................... 206
5.4 Solving Proportions • ...................................................................................... 210
5.5 Solving Application Problems with Proportions • .......................................... 216
Chapter 5 Review Exercises • ......................................................................... 222
Chapter 5 Mixed Review Exercises • ............................................................. 226
Chapter 5 Test • .............................................................................................. 228
6 Percent....................................................................................................................................... 230
6.1 Basics of Percent • .......................................................................................... 230
6.2 Percents and Fractions • .................................................................................. 234
6.3 Using the Percent Proportion and Identifying the Components
in a Percent Problem • .................................................................................... 241
6.4 Using Proportions to Solve Percent Problems • ............................................. 247
6.5 Using the Percent Equation • .......................................................................... 255
6.6 Solving Application Problems with Percent • ................................................ 260
6.7 Simple Interest • ............................................................................................. 267
6.8 Compound Interest • ....................................................................................... 272
Chapter 6 Review Exercises • ......................................................................... 276
Chapter 6 Mixed Review Exercises • ............................................................. 280
Chapter 6 Test • .............................................................................................. 282
7 Geometry................................................................................................................................... 285
7.1 Geometry: Lines and Angles • ........................................................................ 285
7.2 Rectangles and Squares • ................................................................................ 288
7.3 Parallelograms and Trapezoids • .................................................................... 294
7.4 Triangles • ....................................................................................................... 296
7.5 Circles • .......................................................................................................... 299
7.6 Volume and Surface Area • ............................................................................ 304
7.7 Pythagorean Theorem • .................................................................................. 308
7.8 Congruent and Similar Triangles • ................................................................. 312
Chapter 7 Review Exercises • ......................................................................... 316
Chapter 7 Mixed Review Exercises • ............................................................. 321
Chapter 7 Test • .............................................................................................. 323
Copyright © 2018 Pearson Education, Inc.
VERIFIEDBRAINBOOSTER
SOLUTIONS MANUAL
BEVERLY FUSFIELD
D EVELOPMENTAL M ATHEMATICS
B ASIC M ATHEMATICS AND A LGEBRA
FOURTH EDITION
Margaret L. Lial
American River College
John Hornsby
University of New Orleans
Terry McGinnis
Stanley A. Salzman
American River College
Diana L. Hestwood
Minneapolis Community and Technical College
VERIFIEDBRAINBOOSTER
,The author and publisher of this book have used their best efforts in preparing this book. These efforts include the
development, research, and testing of the theories and programs to determine their effectiveness. The author and publisher
make no warranty of any kind, expressed or implied, with regard to these programs or the documentation contained in this
book. The author and publisher shall not be liable in any event for incidental or consequential damages in connection with,
or arising out of, the furnishing, performance, or use of these programs.
Reproduced by Pearson from electronic files supplied by the author.
Copyright © 2018, 2014, 2010 Pearson Education, Inc.
Publishing as Pearson, 330 Hudson Street, NY NY 10013
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form
or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the
publisher. Printed in the United States of America.
ISBN-13: 978-0-13-454122-8
ISBN-10: 0-13-454122-7
VERIFIEDBRAINBOOSTER
, Table of Contents
1 Whole Numbers.............................................................................................................................1
1.1 Reading and Writing Whole Numbers • ......................................................... 1
1.2 Adding Whole Numbers • .............................................................................. 2
1.3 Subtracting Whole Numbers • ........................................................................ 9
1.4 Multiplying Whole Numbers • ....................................................................... 16
1.5 Dividing Whole Numbers • ............................................................................ 24
1.6 Long Division • .............................................................................................. 30
1.7 Rounding Whole Numbers • ........................................................................... 36
1.8 Exponents, Roots, and Order of Operations • ................................................. 43
1.9 Reading Pictographs, Bar Graphs, and Line Graphs • .................................... 47
1.10 Solving Application Problems • ..................................................................... 49
Chapter 1 Review Exercises • ......................................................................... 60
Chapter 1 Mixed Review Exercises • ............................................................. 68
Chapter 1 Test • .............................................................................................. 70
2 Multiplying and Dividing Fractions.......................................................................................... 73
1.1 Basics of Fractions • ....................................................................................... 73
1.2 Mixed Numbers • ............................................................................................ 74
1.3 Factors • .......................................................................................................... 81
1.4 Writing a Fraction in Lowest Terms • ............................................................ 88
1.5 Multiplying Fractions • ................................................................................... 92
1.6 Applications of Multiplication • ..................................................................... 96
1.7 Dividing Fractions • ........................................................................................ 100
1.8 Multiplying and Dividing Mixed Numbers • .................................................. 104
Chapter 1 Review Exercises • ......................................................................... 110
Chapter 2 Mixed Review Exercises • ............................................................. 113
Chapter 1 Test • .............................................................................................. 114
3 Adding and Subtracting Fractions.......................................................................................... 117
3.1 Adding and Subtracting Like Fractions • ....................................................... 117
3.2 Least Common Multiples • ............................................................................. 119
3.3 Adding and Subtracting Unlike Fractions • .................................................... 125
3.4 Adding and Subtracting Mixed Numbers • ..................................................... 130
3.5 Order Relations and the Order of Operations • ............................................... 140
Chapter 3 Review Exercises • ......................................................................... 146
Chapter 3 Mixed Review Exercises • .............................................................. 150
Chapter 3 Test • .............................................................................................. 152
Copyright © 2018 Pearson Education, Inc.
VERIFIEDBRAINBOOSTER
, 4 Decimals.....................................................................................................................................154
4.1 Reading and Writing Decimal Numbers • ...................................................... 154
4.2 Rounding Decimal Numbers • ........................................................................ 157
4.3 Adding and Subtracting Decimal Numbers • ................................................. 162
4.4 Multiplying Decimal Numbers • ..................................................................... 168
4.5 Dividing Decimal Numbers • ......................................................................... 174
4.6 Fractions and Decimals • ................................................................................ 183
Chapter 4 Review Exercises • ......................................................................... 190
Chapter 4 Mixed Review Exercises • .............................................................. 194
Chapter 4 Test • .............................................................................................. 195
5 Ratio and Proportion................................................................................................................198
5.1 Ratios • ........................................................................................................... 198
5.2 Rates • ............................................................................................................. 202
5.3 Proportions • ................................................................................................... 206
5.4 Solving Proportions • ...................................................................................... 210
5.5 Solving Application Problems with Proportions • .......................................... 216
Chapter 5 Review Exercises • ......................................................................... 222
Chapter 5 Mixed Review Exercises • ............................................................. 226
Chapter 5 Test • .............................................................................................. 228
6 Percent....................................................................................................................................... 230
6.1 Basics of Percent • .......................................................................................... 230
6.2 Percents and Fractions • .................................................................................. 234
6.3 Using the Percent Proportion and Identifying the Components
in a Percent Problem • .................................................................................... 241
6.4 Using Proportions to Solve Percent Problems • ............................................. 247
6.5 Using the Percent Equation • .......................................................................... 255
6.6 Solving Application Problems with Percent • ................................................ 260
6.7 Simple Interest • ............................................................................................. 267
6.8 Compound Interest • ....................................................................................... 272
Chapter 6 Review Exercises • ......................................................................... 276
Chapter 6 Mixed Review Exercises • ............................................................. 280
Chapter 6 Test • .............................................................................................. 282
7 Geometry................................................................................................................................... 285
7.1 Geometry: Lines and Angles • ........................................................................ 285
7.2 Rectangles and Squares • ................................................................................ 288
7.3 Parallelograms and Trapezoids • .................................................................... 294
7.4 Triangles • ....................................................................................................... 296
7.5 Circles • .......................................................................................................... 299
7.6 Volume and Surface Area • ............................................................................ 304
7.7 Pythagorean Theorem • .................................................................................. 308
7.8 Congruent and Similar Triangles • ................................................................. 312
Chapter 7 Review Exercises • ......................................................................... 316
Chapter 7 Mixed Review Exercises • ............................................................. 321
Chapter 7 Test • .............................................................................................. 323
Copyright © 2018 Pearson Education, Inc.
VERIFIEDBRAINBOOSTER
