Elementary Algebra

Harold R. Jacobs

Macmillan, Jan 15, 1979 - Mathematics - 876 pages

Suitable for either classroom use or self-paced study, Jacobs's popular text combines real-life examples, carefully structured exercises, and humor to help students learn and remember.

Contents

• FUNDAMENTAL OPERATIONS: 5
• Subtraction: 12
• Division: 23
• Zero and One: 33
• Several Operations: 39
• Parentheses: 46
• The Distributive Rule: 53
• FUNCTIONS AND GRAPHS: 65
• The Coordinate Graph: 73
• Direct Variation: 84
• Linear Functions: 90
• Inverse Variation: 96
• Summary and Review: 103
• THE INTEGERS: 109
• THE RATIONAL NUMBERS: 149
• Absolute Value and Addition: 155
• More on Operations with Rational Numbers: 161
• More on Graphing Functions: 170
• EQUATIONS IN ONE VARIABLE: 181
• Equivalent Equations: 193
• Equivalent Expressions: 200
• More on Solving Equations: 206
• Length and Area: 213
• Distance Rate and Time: 220
• Summary and Review: 231
• EQUATIONS IN TWO VARIABLES: 239
• Formulas: 245
• Graphing Linear Equations: 252
• Intercepts: 258
• Slope: 265
• The SlopeIntercept Form: 271
• Summary and Review: 277
• Simultaneous Equations: 284
• Solving by Subtraction: 291
• More on Solving by Addition and Subtraction: 297
• Graphing Simultaneous Equations: 304
• Inconsistent and Equivalent Equations: 311
• Solving by Substitution: 319
• Mixture Problems: 328
• Summary and Review: 333
• EXPONENTS: 339
• Large Numbers: 340
• A Fundamental Property of Exponents: 345
• Two More Properties of Exponents: 352
• Zero and Negative Exponents: 359
• Small Numbers: 366
• Powers of Products and Quotients: 371
• Exponential Functions: 376
• Summary and Review: 382
• MIDTERM REVIEW: 387
• 9: 388
• POLYNOMIALS: 393
• Monomials: 394
• Polynomials: 400
• Adding and Subtracting Polynomials: 406
• Multiplying Polynomials: 412
• More on Multiplying Polynomials: 418
• Squaring Binomials: 422
• Dividing Polynomials: 430
• Summary and Review: 437
• 10: 439
• FACTORING: 443
• Prime and Composite Numbers: 444
• Monomials and Their Factors: 450
• Polynomials and Their Factors: 455
• Factoring SecondDegree Polynomials: 461
• Factoring the Difference of Two Squares: 470
• Factoring Trinomial Squares: 476
• More on Factoring SecondDegree Polynomials: 481
• Factoring HigherDegree Polynomials: 487
• Summary and Review: 492
• 11: 494
• FRACTIONS: 497
• Fractions: 498
• Algebraic Fractions: 506
• Adding and Subtracting Fractions: 513
• More on Addition and Subtraction: 520
• Multiplying Fractions: 526
• More on Multiplication: 532
• Dividing Fractions: 538
• Complex Fractions: 544
• Summary and Review: 550
• 12: 553
• SQUARE ROOTS: 557
• Squares and Square Roots: 558
• Square Roots of Products: 564
• Square Roots of Quotients: 570
• Adding and Subtracting Square Roots: 577
• Multiplying Square Roots: 582
• Dividing Square Roots: 587
• Radical Equations: 593
• Summary and Review: 599
• 13: 602
• QUADRATIC EQUATIONS: 605
• Polynomial Equations: 606
• Polynomial Functions: 611
• Solving Polynomial Equations by Graphing: 616
• Solving Quadratic Equations by Factoring: 621
• Solving Quadratic Equations by Taking Square Roots: 626
• Completing the Square: 632
• The Quadratic Formula: 639
• The Discriminant: 645
• Solving HigherDegree Equations: 653
• Summary and Review: 659
• Rational Numbers: 666
• Irrational Numbers: 674
• More Irrational Numbers: 680
• Pi: 687
• The Real Numbers: 693
• 15: 700
• Ratio and Proportion: 706
• Equations Containing Fractions: 713
• Solving Formulas: 724
• More on Solving Formulas: 730
• Summary and Review: 737
• Inequalities: 744
• Solving Linear Inequalities: 751
• More on Solving Inequalities: 757
• Absolute Value and Inequalities: 763
• 17: 772
• Arithmetic Sequences: 783
• Geometric Sequences: 792
• Infinite Geometric Sequences: 802
• Index: 873

Bibliographic information

• Title: Elementary Algebra
• Author: Harold R. Jacobs
• Edition: illustrated, reprint
• Publisher: Macmillan, 1979
• ISBN: 0716710471, 9780716710479
• Length: 876 pages
• Subjects: Mathematics / Algebra / Elementary; Mathematics / Algebra / General; Mathematics / General