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Solution Manual for Developmental Mathematics Basic Mathematics and Algebra, 4th Editiion by Margaret Lial, John Hornsby, Terry McGinnis, Stanley Salzman, Diana Hestwood

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Basic Mathematics and Algebra

Instelling
Basic Mathematics And Algebra

Solution Manual for Developmental Mathematics Basic Mathematics and Algebra, 4th Editiion by Margaret Lial, John Hornsby, Terry McGinnis, Stanley Salzman, Diana Hestwood. Solution Manual for Developmental Mathematics Basic Mathematics and Algebra, 4th Editiion by Margaret Lial, John Hornsby, Terry ...

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INSTRUCTOR’S
SOLUTIONS MANUAL
BEVERLY FUSFIELD

M
E
D EVELOPMENTAL M ATHEMATICS

D
C
B ASIC M ATHEMATICS AND A LGEBRA
FOURTH EDITION
O
N
N
Margaret L. Lial
O

American River College
S I

John Hornsby
S

University of New Orleans
E

Terry McGinnis
U
R

Stanley A. Salzman
American River College

Diana L. Hestwood
Minneapolis Community and Technical College

, 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

M
1.5 Dividing Whole Numbers • ............................................................................ 24
1.6 Long Division • .............................................................................................. 30

E
1.7 Rounding Whole Numbers • ........................................................................... 36
1.8 Exponents, Roots, and Order of Operations • ................................................. 43

D
1.9 Reading Pictographs, Bar Graphs, and Line Graphs • .................................... 47
1.10 Solving Application Problems • ..................................................................... 49

C
Chapter 1 Review Exercises • ......................................................................... 60
Chapter 1 Mixed Review Exercises • ............................................................. 68

O
Chapter 1 Test • .............................................................................................. 70
2 Multiplying and Dividing Fractions.......................................................................................... 73
1.1
N
Basics of Fractions • ....................................................................................... 73
1.2 Mixed Numbers • ............................................................................................ 74
N
1.3 Factors • .......................................................................................................... 81
O

1.4 Writing a Fraction in Lowest Terms • ............................................................ 88
1.5 Multiplying Fractions • ................................................................................... 92
I

1.6 Applications of Multiplication • ..................................................................... 96
S

1.7 Dividing Fractions • ........................................................................................ 100
1.8 Multiplying and Dividing Mixed Numbers • .................................................. 104
S

Chapter 1 Review Exercises • ......................................................................... 110
Chapter 2 Mixed Review Exercises • ............................................................. 113
E

Chapter 1 Test • .............................................................................................. 114
U

3 Adding and Subtracting Fractions.......................................................................................... 117
3.1 Adding and Subtracting Like Fractions • ....................................................... 117
R

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.

,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

M
Chapter 4 Test • .............................................................................................. 195
5 Ratio and Proportion................................................................................................................198

E
5.1 Ratios • ........................................................................................................... 198
5.2 Rates • ............................................................................................................. 202

D
5.3 Proportions • ................................................................................................... 206
5.4 Solving Proportions • ...................................................................................... 210

C
5.5 Solving Application Problems with Proportions • .......................................... 216
Chapter 5 Review Exercises • ......................................................................... 222

O
Chapter 5 Mixed Review Exercises • ............................................................. 226
Chapter 5 Test • .............................................................................................. 228
N
6 Percent....................................................................................................................................... 230
N
6.1 Basics of Percent • .......................................................................................... 230
6.2 Percents and Fractions • .................................................................................. 234
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6.3 Using the Percent Proportion and Identifying the Components
in a Percent Problem • .................................................................................... 241
I

6.4 Using Proportions to Solve Percent Problems • ............................................. 247
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6.5 Using the Percent Equation • .......................................................................... 255
6.6 Solving Application Problems with Percent • ................................................ 260
S

6.7 Simple Interest • ............................................................................................. 267
6.8 Compound Interest • ....................................................................................... 272
E

Chapter 6 Review Exercises • ......................................................................... 276
Chapter 6 Mixed Review Exercises • ............................................................. 280
U

Chapter 6 Test • .............................................................................................. 282
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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.

, 8 Statistics..................................................................................................................................... 325
8.1 Circle Graphs • ............................................................................................... 325
8.2 Bar Graphs and Line Graphs • ........................................................................ 329
8.3 Frequency Distributions and Histograms • ..................................................... 332
8.4 Mean, Median, and Mode • ............................................................................ 333
Chapter 8 Review Exercises • ......................................................................... 337
Chapter 8 Mixed Review Exercises • ............................................................. 339
Chapter 8 Test • .............................................................................................. 340
Cumulative Review Exercises (Chapters 1–8) • ............................................. 342

M
9 The Real Number System.........................................................................................................349
9.1 Exponents, Order of Operations, and Inequality • .......................................... 349

E
9.2 Variables, Expressions, and Equations • ........................................................ 354

D
9.3 Real Numbers and the Number Line • ............................................................ 361
9.4 Adding Real Numbers • .................................................................................. 365

C
9.5 Subtracting Real Numbers • ........................................................................... 370
9.6 Multiplying and Dividing Real Numbers • ..................................................... 376

O
9.7 Properties of Real Numbers • ......................................................................... 383
9.8 Simplifying Expressions • .............................................................................. 388
N
Chapter 9 Review Exercises • ......................................................................... 393
Chapter 9 Mixed Review Exercises • ............................................................. 398
N
Chapter 9 Test • .............................................................................................. 399
10 Equations, Inequalities, and Applications.............................................................................. 401
O

10.1 The Addition Property of Equality • ............................................................... 401
10.2 The Multiplication Property of Equality • ...................................................... 410
S I

10.3 More on Solving Linear Equations • .............................................................. 419
10.4 An Introduction to Applications of Linear Equations • .................................. 432
S

10.5 Formulas and Additional Applications from Geometry • ............................... 446
10.6 Solving Linear Inequalities • .......................................................................... 457
E

Chapter 10 Review Exercises • ....................................................................... 468
Chapter 10 Mixed Review Exercises • ........................................................... 472
U

Chapter 10 Test • ............................................................................................ 474
R

11 Graphs of Linear Equations and Inequalities in Two Variables..........................................477
11.1 Linear Equations and Rectangular Coordinates • ........................................... 477
11.2 Graphing Linear Equations in Two Variables • .............................................. 487
11.3 The Slope of a Line • ...................................................................................... 500
11.4 Slope-Intercept Form of a Linear Equation • .................................................. 508
11.5 Point-Slope Form of a Linear Equation and Modeling • ................................ 518
11.6 Graphing Linear Inequalities in Two Variables • ........................................... 526
Chapter 11 Review Exercises • ....................................................................... 534
Chapter 11 Mixed Review Exercises • ........................................................... 539
Chapter 11 Test • ............................................................................................ 541

Copyright © 2018 Pearson Education, Inc.

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Solution Manual for Developmental Mathematics Basic Mathematics and Algebra, 4th Editiion by Margaret Lial, John Hornsby, Terry McGinnis, Stanley Salzman, Diana Hestwood

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