SOLUTIONS MANUAL FOR

SOLUTIONS MANUAL FOR

BEGINNING AND INTERMEDIATE

ALGEBRA

SEVENTH 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 • .......................................................................................................Chapters R–1 Cumulative Review Exercises • .........................................................28 34 42 47 57 67 69 77 83 88 90 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

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• Linear Equations in Two Variables ........................................................................................ 228

3.1 3.2 3.3 3.4 3.5

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 • ........................................................................................................Chapter 3 Review Exercises • .................................................................................Chapter 3 Mixed Review Exercises • ......................................................................Chapter 3 Test • .......................................................................................................Chapters R–3 Cumulative Review Exercises • .......................................................228 240 258 268 282

293 298 302 304 307

4 Exponents and Polynomials .................................................................................................... 310 4.1 4.2

4.3 4.4 4.5 4.6 4.7

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 4 Review Exercises • ..................................................................................Chapter 4 Mixed Review Exercises • .......................................................................Chapter 4 Test • ........................................................................................................Chapters R–4 Cumulative Review Exercises • ........................................................310 318 327 331 340 353 365 372 387 393 395 398

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

.402 5.1 5.2 5.3 5.4

5.5 5.6

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 5 Review Exercises • .................................................................................Chapter 5 Mixed Review Exercises • .......................................................................Chapter 5 Test • ......................................................................................................Chapters R–5 Cumulative Review Exercises • .......................................................

402 411 421 433 446 450 461 473 477 479

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• Rational Expressions and Applications ...................................................................................485

6.1 6.2 6.3 6.4 6.5 6.6

6.7

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 • ..................................................................Chapter 6 Review Exercises • ................................................................................Chapter 6 Mixed Review Exercises • .....................................................................Chapter 6 Test •......................................................................................................Chapters R–6 Cumulative Review Exercises • ......................................................485 499 509 519 537 552

574 578 590 599 601 606

• Graphs, Linear Equations, and Systems ................................................................................

.610 7.1 7.2 7.3 7.4 7.5

7.6 7.7

Review of Graphs and Slopes of Lines • ................................................................Review of Equations of Lines; Linear Models• .....................................................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 • .....................................................................................................Systems of Linear Equations in Three Variables• ..................................................Applications of Systems of Linear Equations Variables • .....................................Chapter 7 Review Exercises • ................................................................................Chapter 7 Mixed Review Exercises • .....................................................................Chapter 7 Test •......................................................................................................Chapters R–7 Cumulative Review Exercises • ......................................................610 628 641 654 665

678 683 702 721 733 736 741

• Inequalities and Absolute Value ..............................................................................................

.746 8.1 8.2 8.3

8.4

Review of Linear Equations in One Variable • ......................................................Set Operations and Compound Inequalities • .........................................................Absolute Value Equations and Inequalities • .........................................................Summary Exercises Solving Linear and Absolute Value Equations and Inequalities • ..................................................................................................Linear Inequalities and Systems in Two Variables •..............................................Chapter 8 Review Exercises • ................................................................................Chapter 8 Mixed Review Exercises • .....................................................................Chapter 8 Test •......................................................................................................Chapters R–8 Cumulative Review Exercises • ......................................................746 754 763

778 782 797 800 802 804

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