Elementary Algebra Early Graphing for College Students Book

Preface     xi
To the Student     xvii
Real Numbers     1
Study Skills for Success in Mathematics     2
Problem Solving     7
Fractions     20
The Real Number System     30
Inequalities     35
Mid-Chapter Test: Sections 1.1-1.5     40
Addition of Real Numbers     41
Subtraction of Real Numbers     50
Multiplication and Division of Real Numbers     60
Exponents, Parentheses, and the Order of Operations     68
Properties of the Real Number System     80
Summary     86
Review Exercises     91
Practice Test     94
Solving Linear Equations and Inequalities     95
Combining Like Terms     96
The Addition Property of Equality     105
The Multiplication Property of Equality     112
Solving Linear Equations with a Variable on Only One Side of the Equation     119
Mid-Chapter Test: Sections 2.1-2.4     129
Solving Linear Equations with the Variable on Both Sides of the Equation     129
Formulas     140
Ratios and Proportions     152
Inequalities in One Variable     164
Summary     171
Review Exercises     175
Practice Test     178
Cumulative Review Test     178
Applications of Algebra     179
Changing Application Problems into Equations     180
Solving Application Problems     195
Mid-Chapter Test: Sections 3.1-3.2     206
Geometric Problems     207
Motion, Money, and Mixture Problems     212
Summary     225
Review Exercises     227
Practice Test     229
Cumulative Review Test     231
Graphing Linear Equations     232
The Cartesian Coordinate System and Linear Equations in Two Variables     233
Graphing Linear Equations     241
Slope of a Line     251
Mid-Chapter Test: Sections 4.1-4.2     263
Slope-Intercept and Point-Slope Forms of a Linear Equation     263
Graphing Linear Inequalities     276
Functions     279
Summary     289
Review Exercises     292
Practice Test     296
Cumulative Review Test     296
Systems of Linear Equations     298
Solving Systems of Equations Graphically      299
Solving Systems of Equations by Substitution     308
Solving Systems of Equations by the Addition Method     315
Mid-Chapter Test: Sections 5.1-5.3     323
Systems of Equations: Applications and Problem Solving     324
Solving Systems of Linear Inequalities     334
Summary     337
Review Exercises     339
Practice Test     341
Cumulative Review Test     342
Exponents and Polynomials     345
Exponents     344
Negative Exponents     353
Scientific Notation     362
Mid-Chapter Test: Sections 6.1-6.2     372
Addition and Subtraction of Polynomials     372
Multiplication of Polynomials     379
Division of Polynomials     389
Summary     396
Review Exercises     398
Practice Test     400
Cumulative Review Test     401
Factoring     402
Factoring a Monomial from a Polynomial     403
Factoring by Grouping     410
Factoring Trinomials of the Form ax[superscript 2] + bx + c, a = 1     415
Factoring Trinomials of the Form ax[superscript 2] + bx + c, a [nonequal] 1     424
Mid-Chapter Test: Sections 7.1-7.4     438
Special Factoring Formulas and a General Review of Factoring     436
Solving Quadratic Equations Using Factoring     444
Applications of Quadratic Equations     451
Summary     458
Review Exercises     461
Practice Test     463
Cumulative Review Test     464
Rational Expressions and Equations     465
Simplifying Rational Expressions     466
Multiplication and Division of Rational Expressions     474
Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator     482
Addition and Subtraction of Rational Expressions     489
Mid-Chapter Test: Sections 8.1-8.4     496
Complex Fractions     497
Solving Rational Equations     502
Rational Equations: Applications and Problem Solving     510
Variation     522
Summary     529
Review Exercises     532
Practice Test     534
Cumulative Review Test     535
Roots and Radicals     536
Evaluating Square Roots     537
Simplifying Square Roots     544
Adding, Subtracting, and Multiplying Square Roots     550
Dividing Square Roots     556
Mid-Chapter Test: Sections 9.1-9.4     564
Solving Radical Equations     565
Radicals: Applications and Problem Solving     571
Higher Roots and Rational Exponents     578
Summary     585
Review Exercises     588
Practice Test     590
Cumulative Review Test     591
Quadratic Equations     592
The Square Root Property     593
Solving Quadratic Equations by Completing the Square     598
Solving Quadratic Equations by the Quadratic
Formula 604 Mid-Chapter Test Sections 10.1-10.3     614
Graphing Quadratic Equations     615
Complex Numbers     625
Summary     628
Review Exercises     630
Practice Test     632
Cumulative Review Test     633
Appendices     634
Review of Decimals and Percent     634
Finding the Greatest Common Factor and Least Common Denominator     637
Geometry     640
Answers     A1
Applications Index     I1
Subject Index     I4
Photo Credits     P1