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Cengage Learning
Student Workbook for Beginning and Intermediate Algebra: An Integrated Approach, 6th / Edition 6

Student Workbook for Beginning and Intermediate Algebra: An Integrated Approach, 6th / Edition 6

by Maria H. Andersen


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Student Workbook for Beginning and Intermediate Algebra: An Integrated Approach, 6th / Edition 6

Get the extra practice you need to succeed in your mathematics course with this hands-on Student Workbook. Designed to help you master the problem-solving skills and concepts presented in BEGINNING AND INTERMEDIATE ALGEBRA: AN INTEGRATED APPROACH, 6th Edition, this practical, easy-to-use workbook reinforces key concepts and promotes skill building.

Product Details

ISBN-13: 9780538731843
Publisher: Cengage Learning
Publication date: 01/01/2010
Edition description: Older Edition
Pages: 485
Product dimensions: 8.60(w) x 11.10(h) x 1.00(d)

About the Author

Maria H. Andersen, Ph.D. is the Director of Learning and Research at Instructure. Prior to this position, she taught mathematics at the college level for over a decade. Maria has been involved with professional mathematics organizations at the national level. Several years ago, Maria began conceptualizing the idea of a suite of video games engaging enough to teach algebra to adult college students. Over the last few years, Maria has become an expert on game design, particularly designing for learning contexts in mathematics. She writes and speaks extensively about the intersection between technology and education on her blog, and can be found on Twitter as @busynessgirl.

Table of Contents

Chapter 1Real Numbers and Their Basic Properties1
1.1Real Numbers and Their Graphs1
1.3Exponents and Order of Operations26
1.4Adding and Subtracting Real Numbers36
1.5Multiplying and Dividing Real Numbers45
1.6Algebraic Expressions52
1.7Properties of Real Numbers59
Chapter Summary66
Chapter Test71
Chapter 2Equations and Inequalities73
2.1Solving Basic Equations74
2.2Solving More Equations86
2.3Simplifying Expressions to Solve Equations93
2.4Introduction to Problem Solving99
2.5Motion and Mixture Problems107
2.7Solving Inequalities121
Chapter Summary129
Chapter Test132
Cumulative Review Exercises133
Chapter 3Graphing and Solving Systems of Equations and Inequalities135
3.1The Rectangular Coordinate System136
3.2Graphing Linear Equations147
3.3Solving Systems of Equations by Graphing161
3.4Solving Systems of Equations by Substitution171
3.5Solving Systems of Equations by Addition177
3.6Applications of Systems of Equations184
3.7Systems of Linear Inequalities195
Chapter Summary209
Chapter Test213
Chapter 4Polynomials214
4.1Natural-Number Exponents215
4.2Zero and Negative-Integer Exponents223
4.3Scientific Notation229
4.5Adding and Subtracting Polynomials244
4.6Multiplying Polynomials250
4.7Dividing Polynomials by Monomials259
4.8Dividing Polynomials by Polynomials265
Chapter Summary270
Chapter Test274
Cumulative Review Exercises274
Chapter 5Factoring Polynomials276
5.1Factoring Out the Greatest Common Factor277
5.2Factoring by Grouping284
5.3Factoring the Difference of Two Squares289
5.4Factoring Trinomials with Lead Coefficients of 1294
5.5Factoring General Trinomials304
5.6Summary of Factoring Techniques312
5.7Problem Solving315
Chapter Summary321
Chapter Test319
Chapter 6Proportion and Rational Expressions325
6.2Proportions and Similar Triangles332
6.3Simplifying Fractions342
6.4Multiplying and Dividing Fractions349
6.5Adding and Subtracting Fractions357
6.6Complex Fractions367
6.7Solving Equations That Contain Fractions373
6.8Applications of Equations That Contain Fractions379
Chapter Summary385
Chapter Test388
Cumulative Review Exercises389
Chapter 7More Equations, Inequalities, and Factoring391
7.1Review of Equations and Inequalities392
7.2Equations Containing Absolute Values405
7.3Inequalities Containing Absolute Values410
7.4Review of Factoring415
7.5Factoring the Sum and Difference of Two Cubes426
7.6Review of Rational Expressions431
7.7Synthetic Division444
Chapter Summary452
Chapter Test456
Chapter 8Writing Equations of Lines; Variation457
8.1A Review of the Rectangular Coordinate System458
8.2Slope of a Nonvertical Line467
8.3Writing Equations of Lines477
8.4A Review of Functions489
8.5Graphs of Nonlinear Functions499
Chapter Summary523
Chapter Test528
Cumulative Review Exercises529
Chapter 9Radicals and Rational Exponents531
9.1Radical Expressions532
9.2Applications of Radicals544
9.3Rational Exponents551
9.4Simplifying and Combining Radical Expressions559
9.5Multiplying and Dividing Radical Expressions568
9.6Radical Equations576
Chapter Summary585
Chapter Test589
Chapter 10Quadratic Functions, Inequalities, and Algebra of Functions591
10.1Completing the Square and the Quadratic Formula592
10.2Graphs of Quadratic Functions603
10.3Complex Numbers614
10.4The Discriminant and Equations That Can Be Written in Quadratic Form624
10.5Quadratic and Other Nonlinear Inequalities630
10.6Algebra and Composition of Functions637
10.7Inverses of Functions644
Chapter Summary654
Chapter Test658
Cumulative Review Exercises659
Chapter 11Exponential and Logarithmic Functions661
11.1Exponential Functions662
11.2Base-e Exponential Functions674
11.3Logarithmic Functions681
11.4Base-e Logarithms690
11.5Properties of Logarithms696
11.6Exponential and Logarithmic Equations705
Chapter Summary716
Chapter Test720
Chapter 12More Graphing and Conic Sections722
12.1The Circle and the Parabola723
12.2The Ellipse736
12.3The Hyperbola745
12.4Piecewise-Defined Functions and the Greatest Integer Function755
Chapter Summary762
Chapter Test764
Cumulative Review Exercises765
Chapter 13More on Systems of Equations and Inequalities767
13.1Solutions of Two Equations in Two Variables768
13.2Solutions of Three Equations in Three Variables781
13.3Solution by Matrices790
13.4Solution by Determinants799
13.5Solving Simultaneous Second-degree Equations and Inequalities808
Chapter Summary816
Chapter Test819
Chapter 14Miscellaneous Topics820
14.1The Binomial Theorem821
14.2The nth Term of a Binomial Expansion827
14.3Arithmetic Sequences829
14.4Geometric Sequences836
14.5Infinite Geometric Sequences844
14.6Permutations and Combinations847
Chapter Summary858
Chapter Test861
Cumulative Review Exercises862
Appendix ISymmetries of Graphs1
Appendix IITables6
Table APowers and Roots6
Table BBase-10 Logarithms7
Table CBase-e Logarithms8
Appendix IIIAnswers to Selected Exercises9

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