# Student's Solutions Manual for Intermediate Algebra through Applications

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### Product Details

• ISBN-13: 9780321757159
• Publisher: Pearson
• Publication date: 3/2/2012
• Edition description: Student
• Edition number: 3
• Pages: 250
• Product dimensions: 8.50 (w) x 11.00 (h) x 1.10 (d)

Chapter 1 Algebra Basics

Pretest 1

1.1 Introduction to Real Numbers 2

1.2 Operations with Real Numbers 4

1.3 Properties of Real Numbers 6

1.4 Laws of Exponents and Scientific Notation 8

1.5 Algebraic Expressions: Translating, Evaluating, and Simplifying 13

Review Exercises 17

Posttest 21

Chapter 2 Linear Equations and Inequalities

Pretest 22

2.1 Solving Linear Equations 23

2.2 Solving Literal Equations and Formulas 36

2.3 Solving Linear Inequalities 39

2.4 Solving Compound Inequalities 45

2.5 Solving Absolute Value Equations and Inequalities 50

Review Exercises 57

Posttest 66

Cumulative Review Exercises 68

Chapter 3 Graphs, Linear Equations and Inequalities, and Functions

Pretest 70

3.1 The Rectangular Coordinate System 73

3.2 Slope 74

3.3 Graphing Linear Equations 79

3.4 More on Graphing Linear Equations 86

3.5 Graphing Linear Inequalities 92

3.6 Introduction to Functions 98

Review Exercises 103

Posttest 114

Cumulative Review Exercises 118

Chapter 4 Systems of Linear Equations and Inequalities

Pretest 121

4.1 Solving Systems of Linear Equations by Graphing 125

4.2 Solving Systems of Linear Equations Algebraically 132

4.3 Solving Systems of Linear Equations in Three Variables 138

4.4 Solving Systems of Linear Equations by Using Matrices 146

4.5 Solving Systems of Linear Inequalities 156

Review Exercises 166

Posttest 176

Cumulative Review Exercises 182

Chapter 5 Polynomials

Pretest 185

5.1 Addition and Subtraction of Polynomials 186

5.2 Multiplication of Polynomials 189

5.3 Division of Polynomials 195

5.4 The Greatest Common Factor and Factoring by Grouping 198

5.5 Factoring Trinomials 201

5.6 Special Factoring 206

5.7 Solving Quadratic Equations by Factoring 211

Review Exercises 215

Posttest 221

Cumulative Review Exercises 223

Chapter 6 Rational Expressions and Equations

Pretest 226

6.1 Multiplication and Division of Rational Expressions 228

6.2 Addition and Subtraction of Rational Expressions 233

6.3 Complex Rational Expressions 239

6.4 Solving Rational Equations 242

6.5 Variation 252

Review Exercises 255

Posttest 260

Cumulative Review Exercisess 263

Chapter 7 Radical Expressions and Equations

Pretest 266

7.1 Radical Expressions and Rational Exponents 267

7.4 Multiplication and Division of Radical Expressions 275

7.6 Complex Numbers 286

Review Exercises 289

Posttest 293

Cumulative Review Exercises 294

Chapter 8 Quadratic Equations, Functions, and Inequalities

Pretest 298

8.1 Solving Quadratic Equations: The Square Root Property of Equality; Completing the Square 301

8.3 More on Quadratic Equations 312

8.5 Solving Quadratic and Rational Inequalities 327

Review Exercises 333

Posttest 344

Cumulative Review Exercises 348

Chapter 9 Exponential and Logarithmic Functions

Pretest 351

9.1 The Algebra of Functions and Inverse Functions 353

9.2 Exponential Functions 359

9.3 Logarithmic Functions 364

9.4 Properties of Logarithms 367

9.5 Common Logarithms, Natural Logarithms, and Change of Base 370

9.6 Exponential and Logarithmic Equations 372

Review Exercises 376

Posttest 384

Cumulative Review Exercises 387

Chapter 10 Conic Sections

Pretest 390

10.1 Introduction to Conies; The Parabola 393

10.2 The Circle 398

10.3 The Ellipse and the Hyperbola 402

10.4 Solving Nonlinear Systems of Equations 406

10.5 Solving Nonlinear Inequalities and Nonlinear Systems of Inequalities 411

Review Exercises 419

Posttest 429

Cumulative Review Exercises 432

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