Elementary and Intermediate Algebra : A Combined Course (3 PCK HAR/)

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Elementary and Intermediate Algebra : A Combined Course (3 PCK HAR/)

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  • 製本 Hardcover:ハードカバー版/ページ数 783 p.
  • 言語 ENG,ENG
  • 商品コード 9780495108511
  • DDC分類 512

Full Description


Algebra is accessible and engaging with this popular text from Charles "Pat" McKeague! ELEMENTARY AND INTERMEDIATE ALGEBRA is infused with McKeague's passion for teaching mathematics. With years of classroom experience, he knows how to write in a way that you will understand and appreciate. McKeague's attention to detail and exceptionally clear writing style help you to move through each new concept with ease. Real-world applications in every chapter of this user-friendly book highlight the relevance of what you are learning. And studying is easier than ever with the book's multimedia learning resources, including CengageNOW for ELEMENTARY AND INTERMEDIATE ALGEBRA, a personalized online learning companion.

Table of Contents

    The Basics                                     1  (82)
Notation and Symbols 3 (8)
Real Numbers 11 (11)
Addition of Real Numbers 22 (7)
Subtraction of Real Numbers 29 (7)
Properties of Real Numbers 36 (7)
Multiplication of Real Numbers 43 (8)
Division of Real Numbers 51 (7)
Subsets of the Real Numbers 58 (8)
Addition and Subtraction with Fractions 66 (17)
Summary 76 (3)
Review Test 79 (2)
Projects 81 (2)
Linear Equations and Inequalities 83 (72)
Simplifying Expressions 85 (8)
Addition Property of Equality 93 (6)
Multiplication Property of Equality 99 (7)
Solving Linear Equations 106(6)
Formulas 112(10)
Applications 122(9)
More Applications 131(8)
Linear Inequalities 139(16)
Summary 148(3)
Review Test 151(1)
Projects 152(3)
Graphing and Systems of Equations 155(74)
Paired Data and Graphing Ordered Pairs 157(7)
Solutions to Linear Equations in Two 164(6)
Variables
Graphing Linear Equations in Two Variables 170(8)
More on Graphing: Intercepts 178(6)
Slope and the Equation of a Line 184(10)
Solving Linear Systems by Graphing 194(6)
The Elimination Method 200(8)
The Substitution Method 208(7)
Applications 215(14)
Summary 222(3)
Review Test 225(2)
Projects 227(2)
Exponents and Polynomials 229(56)
Multiplication with Exponents 231(8)
Division with Exponents 239(10)
Operations with Monomials 249(6)
Addition and Subtraction of Polynomials 255(4)
Multiplication with Polynomials 259(6)
Binomial Squares and Other Special 265(5)
Products
Dividing a Polynomial by a Monomial 270(4)
Dividing a Polynomial by a Polynomial 274(11)
Summary 279(3)
Review Test 282(1)
Projects 283(2)
Factoring 285(52)
The Greatest Common Factor and Factoring 287(6)
by Grouping
Factoring Trinomials 293(4)
More Trinomials to Factor 297(6)
The Difference of Two Squares 303(5)
The Sum and Difference of Two Cubes 308(3)
Factoring: A General Review 311(4)
Solving Equations by Factoring 315(6)
Applications 321(16)
Summary 330(3)
Review Test 333(1)
Projects 334(3)
Rational Expressions 337(54)
Reducing Rational Expressions to Lowest 339(9)
Terms
Multiplication and Division of Rational 348(8)
Expressions
Addition and Subtraction of Rational 356(6)
Expressions
Equations Involving Rational Expressions 362(5)
Applications 367(8)
Complex Fractions 375(5)
Proportions 380(11)
Summary 385(2)
Review Test 387(1)
Projects 388(3)
Transitions 391(74)
Review of Solving Equations 392(12)
Equations with Absolute Value 404(4)
Compound Inequalities and Interval 408(9)
Notation
Inequalities Involving Absolute Value 417(6)
Review of Systems of Linear Equations in 423(11)
Two Variables
Systems of Linear Equations in Three 434(8)
Variables
Linear Inequalities in Two Variables 442(8)
Systems of Linear Inequalities 450(15)
Summary 458(4)
Review Test 462(1)
Projects 463(2)
Equations and Functions 465(70)
The Slope of a Line 466(15)
The Equation of a Line 481(11)
Introduction to Functions 492(12)
Function Notation 504(9)
Algebra and Composition with Functions 513(6)
Variation 519(16)
Summary 529(3)
Review Test 532(1)
Projects 533(2)
Rational Exponents and Roots 535(60)
Rational Exponents 536(10)
More Expressions Involving Rational 546(6)
Exponents
Simplified Form for Radicals 552(8)
Addition and Subtraction of Radical 560(4)
Expressions
Multiplication and Division of Radical 564(7)
Expressions
Equations with Radicals 571(9)
Complex Numbers 580(15)
Summary 587(3)
Review Test 590(2)
Projects 592(3)
Quadratic Functions 595(62)
Completing the Square 596(10)
The Quadratic Formula 606(11)
Additional Items Involving Solutions to 617(7)
Equations
Equations Quadratic in Form 624(8)
Graphing Parabolas 632(12)
Quadratic Inequalities 644(13)
Summary 652(2)
Review Test 654(1)
Projects 655(2)
Exponential and Logarithmic Functions 657(54)
Exponential Functions 658(9)
The Inverse of a Function 667(8)
Logarithms Are Exponents 675(8)
Properties of Logarithms 683(6)
Common Logarithms and Natural Logarithms 689(8)
Exponential Equations and Change of Base 697(14)
Summary 704(2)
Review Test 706(2)
Projects 708(3)
Conic Sections 711(32)
The Circle 712(8)
Ellipses and Hyperbolas 720(10)
Second-Degree Inequalities and Nonlinear 730(13)
Systems
Summary 738(2)
Review Test 740(1)
Projects 741(2)
Sequences and Series 743
Sequences 744(8)
Series 752(5)
Arithmetic Sequences 757(6)
Geometric Sequences 763(8)
The Binomial Expansion 771
Summary 778(2)
Review Test 780(2)
Projects 782
Answers 1 (1)
Index 1