# Intermediate Algebra Through Applications

• ISBN13:

• ISBN10:

## 0201312247

• Edition: 1st
• Format: Paperback
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### Summary

Throughout this text, motivating real-world applications, examples, and exercises demonstrate how integral mathematical understanding is to student mastery in other disciplines, a variety of occupations, and everyday situations. A distinctive side-by-side format, pairing each example with a corresponding practice exercise, encourages students to get actively involved in the mathematical content from the start. Unique Mindstretchers target different levels and types of student understanding in one comprehensive problem set per section. Mindstretchers incorporate related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and historical connections. To show how mathematics has evolved over the centuries, in many cultures, and throughout the world, each chapter features a compelling Cultural Note that investigates and illustrates the origins of mathematical concepts. Diverse topics include art, music, the evolution of digit notation, and the ancient practice of using a scale to find an unknown weight.

 1 Algebra Basics
1(102)
 1.1 Introduction to Real Numbers
3(16)
 1.2 Operations with Real Numbers
19(16)
 1.3 Properties of Real Numbers
35(15)
 1.4 Laws of Exponents and Scientific Notation
50(23)
 1.5 Algebraic Expressions: Translating, Evaluating, and Simplifying
73(30)
 2 Linear Equations and Inequalities
103(88)
 2.1 Solving Linear Equations
105(25)
 2.2 Solving Literal Equations and Formulas
130(8)
 2.3 Solving Linear Inequalities
138(16)
 2.4 Solving Compound Inequalities
154(12)
 2.5 Solving Absolute Value Equations and Inequalities
166(25)
 3 Graphs, Linear Equations and Inequalities, and Functions
191(130)
 3.1 The Rectangular Coordinate System
196(13)
 3.2 Slope
209(21)
 3.3 Graphing Linear Equations
230(18)
 3.4 More on Graphing Linear Equations
248(18)
 3.5 Graphing Linear Inequalities
266(13)
 3.6 Introduction to Functions
279(42)
 4 Systems of Linear Equations and Inequalities
321(82)
 4.1 Solving Systems of Linear Equations by Graphing
324(16)
 4.2 Solving Systems of Linear Equations Algebraically by Substitution or Elimination
340(13)
 4.3 Solving Systems of Linear Equations in Three Variables
353(14)
 4.4 Solving Systems of Linear Equations by Using Matrices
367(12)
 4.5 Solving Systems of Linear Inequalities
379(24)
 5 Polynomials
403(90)
 5.1 Addition and Subtraction of Polynomials
405(13)
 5.2 Multiplication of Polynomials
418(14)
 5.3 Division of Polynomials
432(9)
 5.4 The Greatest Common Factor and Factoring by Grouping
441(8)
 5.5 Factoring Trinomials
449(11)
 5.6 Special Factoring
460(11)
 5.7 Solving Quadratic Equations by Factoring
471(22)
 6 Rational Expressions and Equations
493(80)
 6.1 Multiplication and Division of Rational Expressions
495(15)
 6.2 Addition and Subtraction of Rational Expressions
510(14)
 6.3 Complex Rational Expressions
524(9)
 6.4 Solving Rational Equations
533(16)
 6.5 Variation
549(24)
573(86)
 7.1 Radical Expressions and Rational Exponents
576(15)
591(10)
601(8)
 7.4 Multiplication and Division of Radical Expressions
609(14)
623(11)
 7.6 Complex Numbers
634(25)
 8 Quadratic Equations, Functions, and Inequalities
659(86)
 8.1 Solving Quadratic Equations by Completing the Square
662(13)
675(11)
686(11)
697(23)
 8.5 Solving Quadratic and Rational Inequalities
720(25)
 9 Exponential and Logarithmic Functions
745(92)
 9.1 The Algebra of Functions
748(21)
 9.2 Exponential Functions
769(14)
 9.3 Logarithmic Functions
783(13)
 9.4 Properties of Logarithms
796(10)
 9.5 Common Logarithms, Natural Logarithms, and Change of Base
806(7)
 9.6 Solving Exponential and Logarithmic Equations
813(24)
10 Conic Sections 837(76)
 10.1 Introduction to Conics; The Parabola
841(14)
 10.2 The Circle
855(12)
 10.3 The Ellipse and the Hyperbola
867(13)
 10.4 Solving Nonlinear Systems of Equations
880(8)
 10.5 Solving Nonlinear Inequalities and Nonlinear Systems of Inequalities
888(25)
Appendixes 913
 Table of Symbols
913(2)
 Introduction to Graphing Calculators
915(2)
 Determinants and Cramer's Rule
917(7)
 Synthetic Division
924
Glossary G-1
Index I-1
Index of Applications I-9
Video Index I-13