SOLUTIONS MANUAL FOR

SOLUTIONS MANUAL FOR

BEGINNING ALGEBRA

THIRTEENTH EDITION

Margaret L. Lial John Hornsby Terry McGinnis (For Complete File Download Link at the end of this File) 1 / 4

Copyright © 2020 Pearson Education, Inc.Table of Contents R Prealgebra Review ................................................................................................................... 1 R.1 R.2 Fractions • .................................................................................................................Decimals and Percents • ...........................................................................................1 16

1 The Real Number System ....................................................................................................... 28 1.1 1.2 1.3 1.4 1.5

1.6 1.7

Exponents, Order of Operations, and Inequality • ....................................................Variables, Expressions, and Equations • ...................................................................Real Numbers and the Number Line • ......................................................................Adding and Subtracting Real Numbers • ..................................................................Multiplying and Dividing Real Numbers • ...............................................................Summary Exercises: Performing Operations with Real Numbers • .........................Properties of Real Numbers • ....................................................................................Simplifying Expressions • .........................................................................................Chapter 1 Review Exercises • ...................................................................................Chapter 1 Mixed Review Exercises • ........................................................................Chapter 1 Test • .........................................................................................................28 34 42 47 57 67 69 77 83 88 90

Chapters R–1 Cumulative Review Exercises • ....................................................... 92

• Linear Equations and Inequalities in One Variable ............................................................ 94

2.1 2.2 2.3 2.4

2.5 2.6 2.7 2.8 2.9

The Addition Property of Equality • .......................................................................The Multiplication Property of Equality • ...............................................................Solving Linear Equations Using Both Properties of Equality• ...............................Clearing Fractions and Decimals When Solving Linear Equations • ......................Summary Exercises: Applying Methods for Solving Linear Equations • ...............Applications of Linear Equations • .........................................................................Formulas and Additional Applications from Geometry • .......................................Ratio, Proportion, and Percent • ..............................................................................Further Applications of Linear Equations •.............................................................Solving Linear Inequalities • ...................................................................................Chapter 2 Review Exercises • .................................................................................Chapter 2 Mixed Review Exercises • ......................................................................Chapter 2 Test • .......................................................................................................Chapters R–2 Cumulative Review Exercises • .......................................................94 104 113 121 135 139 155 168 181 193 210 219 221 224

• Linear Equations and Inequalities in Two Variables; Functions ......................................... 228

3.1 3.2 3.3 3.4 3.5

3.6 3.7

Linear Equations and Rectangular Coordinates • ....................................................Graphing Linear Equations in Two Variables • ......................................................The Slope of a Line • ..............................................................................................Slope-Intercept Form of a Linear Equation • ..........................................................Point-Slope Form of a Linear Equation and Modeling • .........................................

Summary Exercises: Applying Graphing and Equation-Writing Techniques

for Lines • ........................................................................................................Graphing Linear Inequalities in Two Variables • ....................................................Introduction to Functions • ......................................................................................Chapter 3 Review Exercises • .................................................................................Chapter 3 Mixed Review Exercises • ......................................................................228 240 258 268 282

293 298 307 314

320 2 / 4

Copyright © 2020 Pearson Education, Inc.Chapter 3 Test • .......................................................................................................Chapters R–3 Cumulative Review Exercises • .......................................................323 325

• Systems of Linear Equations and Inequalities ....................................................................... 328

4.1 4.2 4.3

4.4 4.5

Solving Systems of Linear Equations by Graphing • ..............................................Solving Systems of Linear Equations by Substitution • ..........................................Solving Systems of Linear Equations by Elimination • ..........................................

Summary Exercises: Applying Techniques for Solving Systems of

Linear Equations • ...........................................................................................Applications of Linear Systems • ............................................................................Solving Systems of Linear Inequalities • ................................................................Chapter 4 Review Exercises • .................................................................................Chapter 4 Mixed Review Exercises • ......................................................................Chapter 4 Test • .......................................................................................................Chapters R–4 Cumulative Review Exercises • .......................................................328 341 352

365 371 389 398 405 408 412

• Exponents and Polynomials .................................................................................................... 416

5.1 5.2

5.3 5.4 5.5 5.6 5.7

The Product Rule and Power Rules for Exponents • ................................................Integer Exponents and the Quotient Rule • ..............................................................Summary Exercises: Applying the Rules for Exponents • .......................................Scientific Notation • .................................................................................................Adding, Subtracting, and Graphing Polynomials • ..................................................Multiplying Polynomials • .......................................................................................Special Products • ....................................................................................................Dividing Polynomials • ............................................................................................Chapter 5 Review Exercises • ..................................................................................Chapter 5 Mixed Review Exercises • .......................................................................Chapter 5 Test • ........................................................................................................Chapters R–5 Cumulative Review Exercises • ........................................................416 424 433 437 446 459 471 478 493 499 501 504

• Factoring and Applications......................................................................................................

.508 6.1 6.2 6.3 6.4

6.5 6.6

Greatest Common Factors; Factoring by Grouping • .............................................Factoring Trinomials • ............................................................................................More on Factoring Trinomials • .............................................................................Special Factoring Techniques • ..............................................................................Summary Exercises: Recognizing and Applying Factoring Strategies • ...............Solving Quadratic Equations Using the Zero-Factor Property • .............................Applications of Quadratic Equations • ....................................................................Chapter 6 Review Exercises • .................................................................................Chapter 6 Mixed Review Exercises • .......................................................................Chapter 6 Test • ......................................................................................................Chapters R–6 Cumulative Review Exercises • .......................................................

508 517 527 539 552 556 567 579 583 585 587 iv 3 / 4

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• Rational Expressions and Applications ...................................................................................591

7.1 7.2 7.3 7.4 7.5 7.6

7.7 7.8

The Fundamental Property of Rational Expressions • ...........................................Multiplying and Dividing Rational Expressions • .................................................Least Common Denominators • .............................................................................Adding and Subtracting Rational Expressions • ....................................................Complex Fractions • ...............................................................................................Solving Equations with Rational Expressions • .....................................................

Summary Exercises: Simplifying Rational Expressions vs.

Solving Rational Equations • ............................................................................Applications of Rational Expressions • ..................................................................Variation • ..............................................................................................................Chapter 7 Review Exercises • ................................................................................Chapter 7 Mixed Review Exercises • .....................................................................Chapter 7 Test •......................................................................................................Chapters R–7 Cumulative Review Exercises • ......................................................591 605 615 625 643 657

679 682 695 702 712 715 719

• Roots and Radicals ...................................................................................................................

.724 8.1 8.2 8.3 8.4 8.5

8.6

Evaluating Roots • .................................................................................................Multiplying, Dividing, and Simplifying Radicals • ...............................................Adding and Subtracting Radicals • ........................................................................Rationalizing the Denominator • ............................................................................More Simplifying and Operations with Radicals •.................................................Summary Exercises: Applying Operations with Radicals • ..................................Solving Equations with Radicals • .........................................................................Chapter 8 Review Exercises • ................................................................................Chapter 8 Mixed Review Exercises • .....................................................................Chapter 8 Test •......................................................................................................Chapters R–8 Cumulative Review Exercises • ......................................................724 735 743 751 759 770 773 789 795 797 799

• Quadratic Equations ................................................................................................................

.805 9.1 9.2 9.3

9.4

Solving Quadratic Equations by the Square Root Property • .................................Solving Quadratic Equations by Completing the Square • ....................................Solving Quadratic Equations by the Quadratic Formula • .....................................Summary Exercises: Applying Methods for Solving Quadratic Equations • ........Graphing Quadratic Equations • ............................................................................Chapter 9 Review Exercises • ................................................................................Chapter 9 Mixed Review Exercises • .....................................................................Chapter 9 Test •......................................................................................................Chapters R–9 Cumulative Review Exercises • ......................................................805 814 831 847 853 868 874 876 880

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