Beginning & Intermediate Algebra, Fourth Edition

Beginning & Intermediate Algebra, Fourth Edition textbook answersISBN: 9780136007319
Author: Pearson Prentice Hall
Published: 2009

Chapters: 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Chapter 1

Review Of Real Numbers

1.1 Tips for Success in Mathematics Exercise Set p.6
1.2 Symbols and Sets of Numbers Exercise Set p.14
Vocabulary & Readiness Check p.14
1.3 Fractions Exercise Set p.21
Vocabulary & Readiness Check p.21
1.4 Introduction to Variable Expressions and Equations Exercise Set p.32
Vocabulary & Readiness Check p.32
1.5 Adding Real Numbers Vocabulary & Readiness Check p.39
Exercise Set p.40
1.6 Subtracting Real Numbers Exercise Set p.46
Vocabulary & Readiness Check p.46
Integrated Review p.48
1.7 Multiplying and Dividing Real Numbers Vocabulary & Readiness Check p.55
Exercise Set p.56
1.8 Properties of Real Numbers Exercise Set p.63
Vocabulary & Readiness Check p.63
Chapter 1 Group Activity p.64
Chapter 1 Vocabulary Check p.65
Chapter 1 Review p.69
Chapter 1 Test p.72

Chapter 2

Equations, Inequalities, And Problem Solving

2.1 Simplifying Algebraic Expressions Exercise Set p.79
Vocabulary & Readiness Check p.79
2.2 The Addition and Multiplication Properties of Equality Exercise Set p.89
Vocabulary & Readiness Check p.89
2.3 Solving Linear Equations Exercise Set p.98
Vocabulary & Readiness Check p.98
Integrated Review p.101
2.4 An Introduction to Problem Solving Exercise Set p.107
Vocabulary & Readiness Check p.107
2.5 Formulas and Problem Solving Exercise Set p.118
2.6 Percent and Mixture Problem Solving Vocabulary & Readiness Check p.129
Exercise Set p.130
2.7 Further Problem Solving Exercise Set p.139
2.8 Solving Linear Inequalities Vocabulary & Readiness Check p.149
Exercise Set p.149
Chapter 2 Group Activity p.153
Chapter 2 Vocabulary Check p.154
Chapter 2 Review p.159
Chapter 2 Cumulative Review p.163

Chapter 3

Graphs And Introduction To Functions

3.1 Reading Graphs and the Rectangular Coordinate System Vocabulary & Readiness Check p.175
Exercise Set p.176
3.2 Graphing Linear Equations Exercise Set p.187
3.3 Intercepts Vocabulary & Readiness Check p.196
Exercise Set p.196
3.4 Slope and Rate of Change Vocabulary & Readiness Check p.208
Exercise Root p.209
Integrated Review p.213
3.5 Equations of Lines Vocabulary & Readiness Check p.219
Exercise Set p.220
3.6 Functions Exercise Set p.230
Vocabulary & Readiness Check p.230
Chapter 3 Group Activity p.233
Chapter 3 Vocabulary Check p.234
Chapter 3 Review p.238
Chapter 3 Test p.242
Chapter 3 Cumulative Review p.243

Chapter 4

Solving Systems Of Linear Equations

4.1 Solving Systems of Linear Equations by Graphing Vocabulary & Readiness Check p.251
Exercise Set p.252
4.2 Solving Systems of Linear Equations by Substitution Exercise Set p.259
Vocabulary & Readiness Check p.259
4.3 Solving Systems of Linear Equations by Addition Exercise Set p.265
Integrated Review p.267
4.4 Solving Systems of Linear Equations in Three Variables Exercise Set p.273
4.5 Systems of Linear Equations and Problem Solving Exercise Set p.285
Chapter 4 Vocabulary Check p.291
Chapter 4 Review p.295
Chapter 4 Test p.297
Chapter 4 Cumulative Review p.298

Chapter 5

Exponents And Polynomials

5.1 Exponents Exercise Set p.309
Vocabulary & Readiness Check p.309
5.2 Polynomial Functions and Adding and Subtracting Polynomials Vocabulary & Readiness Check p.320
Exercise Set p.321
5.3 Multiplying Polynomials Exercise Set p.327
Vocabulary & Readiness Check p.327
5.4 Special Products Exercise Set p.334
Vocabulary & Readiness Check p.334
Integrated Review p.336
5.5 Negative Exponents and Scientific Notation Vocabulary & Readiness Check p.343
Exercise Set p.343
5.6 Dividing Polynomials Vocabulary & Readiness Check p.349
Exercise Set p.350
5.7 Synthetic Division and the Remainder Theorem Exercise Set p.355
Chapter 5 Vocabulary Check p.357
Group Activity p.357
Chapter 5 Review p.361
Chapter 5 Test p.363
Chapter 5 Cumulative Review p.364

Chapter 6

Factoring Polynomials

6.1 The Greatest Common Factor and Factoring by Grouping Vocabulary & Readiness Check p.373
Exercise Set p.374
6.2 Factoring Trinomials of the Form x^2+bx+c Vocabulary & Readiness Check p.379
Exercise Set p.380
6.3 Factoring Trinomials of the Form ax^2+bx+c Vocabulary & Readiness Check p.387
Exercise Set p.388
6.4 Factoring Trinomials of the Form ax^2+bx+c by Grouping Exercise Set p.393
6.5 Factoring Binomials Vocabulary & Readiness Check p.399
Exercise Set p.400
Integrated Review p.405
6.6 Solving Quadratic Equations by Factoring Vocabulary & Readiness Check p.411
Exercise Set p.412
6.7 Quadratic Equations and Problem Solving Exercise Set p.420
Chapter 6 Group Activity p.423
Chapter 6 Vocabulary Check p.424
Chapter 6 Review p.428
Chapter 6 Test p.430
Chapter 6 Cumulative Review p.431

Chapter 7

Rational Expressions

7.1 Rational Functions and Simplifying Rational Expressions Exercise Set p.440
Vocabulary & Readiness Check p.440
7.2 Multiplying and Dividing Rational Expressions Exercise Set p.448
Vocabulary & Readiness Check p.448
7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Vocabulary & Readiness Check p.455
Exercise Set p.455
7.4 Adding and Subtracting Rational Expressions with Unlike Denominators Exercise Set p.461
Vocabulary & Readiness Check p.461
7.5 Solving Equations Containing Rational Expressions Exercise Set p.469
Integrated Review p.471
7.6 Proportion and Problem Solving with Rational Equations Vocabulary & Readiness Check p.479
Exercise Set p.479
7.7 Simplifying Complex Fractions Vocabulary & Readiness Check p.489
Exercise Set p.489
Chapter 7 Group Activity p.491
Chapter 7 Vocabulary Check p.492
Chapter 7 Review p.497
Chapter 7 Test p.499
Chapter 7 Cumulative Review p.499

Chapter 8

More On Functions And Graphs

8.1 Graphing and Writing Linear Functions Vocabulary & Readiness Check p.506
Exercise Set p.507
8.2 Reviewing Function Notation and Graphing Nonlinear Functions Vocabulary & Readiness Check p.515
Exercise Set p.516
Integrated Review p.518
8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions Vocabulary & Readiness Check p.523
Exercise Set p.524
8.4 Variation and Problem Solving Vocabulary & Readiness Check p.531
Exercise Set p.531
Chapter 8 Group Activity p.534
Chapter 8 Vocabulary Check p.534
Chapter 8 Review p.537
Chapter 8 Test p.538
Chapter 8 Cumulative Review p.540

Chapter 9

Inequalities And Absolute Value

9.1 Compound Inequalities Vocabulary & Readiness Check p.546
Exercise Set p.546
9.2 Absolute Value Equations Vocabulary & Readiness Check p.552
Exercise Set p.553
9.3 Absolute Value Inequalities Exercise Set p.558
Vocabulary & Readiness Check p.558
Integrated Review p.560
9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities Vocabulary & Readiness Check p.567
Exercise Set p.567
Chapter 9 Group Activity p.569
Chapter 9 Vocabulary Check p.570
Chapter 9 Review p.573
Chapter 9 Test p.574
Chapter 9 Cumulative Review p.575

Chapter 10

Rational Exponents, Radicals, And Complex Numbers

10.1 Radicals and Radical Functions Vocabulary & Readiness Check p.583
Exercise Set p.584
10.2 Rational Exponents Exercise Set p.591
Vocabulary & Readiness Check p.591
10.3 Simplifying Radical Expressions Vocabulary & Readiness Check p.599
Exercise Set p.600
10.4 Adding, Subtracting, and Multiplying Radical Expressions Exercise Set p.605
Vocabulary & Readiness Check p.605
10.5 Rationalizing, Denominators and Numerators of Radical Expressions Vocabulary & Readiness Check p.612
Exercise Set p.613
Integrated Review p.615
10.6 Radical Equations and Problem Solving Vocabulary & Readiness Check p.622
Exercise Set p.622
10.7 Complex Numbers Vocabulary & Readiness Check p.631
Exercise Set p.632
Chapter 10 Group Activity p.633
Chapter 10 Vocabulary Check p.634
Chapter 10 Review p.638
Chapter 10 Test p.641
Chapter 10 Cumulative Review p.642

Chapter 11

Quadratic Equations And Functions

11.1 Solving Quadratic Equations by Completing the Square Vocabulary & Readiness Check p.652
Exercise Set p.652
11.2 Solving Quadratic Equations by the Quadratic Formula Vocabulary & Readiness Check p.661
Exercise Set p.661
11.3 Solving Equations by Using Quadratic Methods Vocabulary & Readiness Check p.670
Exercise Set p.671
Integrated Review p.673
11.4 Nonlinear Inequalities in One Variable Vocabulary & Readiness Check p.678
Exercise Set p.678
11.5 Quadratic Functions and Their Graphs Vocabulary & Readiness Check p.687
Exercise Set p.687
11.6 Further Graphing of Quadratic Functions Vocabulary & Readiness Check p.694
Exercise Set p.694
Chapter 11 Group Activity p.696
Chapter 11 Vocabulary Check p.697
Chapter 11 Review p.701
Chapter 11 Test p.702
Chapter 11 Cumulative Review p.703

Chapter 12

Exponential And Logarithmic Functions

12.1 The Algebra of Functions; Composite Functions Vocabulary & Readiness Check p.710
Exercise Set p.710
12.2 Inverse Functions Vocabulary & Readiness Check p.719
Exercise Set p.720
12.3 Exponential Functions Vocabulary & Readiness Check p.728
Exercise Set p.728
12.4 Logarithmic Functions Vocabulary & Readiness Check p.736
Exercise Set p.736
12.5 Properties of Logarithms Vocabulary & Readiness Check p.741
Exercise Set p.742
Integrated Review p.743
12.6 Common Logarithms, Natural Logarithms, and Change of Base Exercise Set p.748
Vocabulary & Readiness Check p.748
12.7 Exponential and Logarithmic Equations and Applications Exercise Set p.754
Chapter 12 Vocabulary Check p.757
Chapter 12 Group Activity p.757
Chapter 12 Review p.761
Chapter 12 Test p.764
Chapter 12 Cumulative Review p.765

Chapter 13

Conic Sections

13.1 The Parabola and the Circle Vocabulary & Readiness Check p.774
Exercise Set p.775
13.2 The Ellipse and the Hyperbola Vocabulary & Readiness Check p.782
Exercise Set p.782
Integrated Review p.784
13.3 Solving Nonlinear Systems of Equations Exercise Set p.788
13.4 Nonlinear Inequalities and Systems of Inequalities Exercise Set p.793
Chapter 13 Group Activity p.793
Chapter 13 Vocabulary Check p.794
Chapter 13 Review p.797
Chapter 13 Test p.798
Chapter 13 Cumulative Review p.799

Chapter 14

Sequences, Series, And The Binomial Theorem

14.1 Sequences Vocabulary & Readiness Check p.804
Exercise Set p.805
14.2 Arithmetic and Geometric Sequences Exercise Set p.811
Vocabulary & Readiness Check p.811
14.3 Series Vocabulary & Readiness Check p.815
Exercise Set p.816
Integrated Review p.817
14.4 Partial Sums of Arithmetic and Geometric Sequences Vocabulary & Readiness Check p.823
Exercise Set p.823
14.5 The Binomial Theorem Exercise Set p.828
Vocabulary & Readiness Check p.828
Chapter 14 Group Activity p.829
Chapter 14 Vocabulary Check p.830
Chapter 14 Review p.832
Chapter 14 Test p.834
Chapter 14 Cumulative Review p.835

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