Advanced Algebra School Mathematics Project
Edition: Updated edition
Publisher: Scott Foresman/Addison-Wesley
Published: January 1920
Language: eng
Format: Hardcover
ISBN-13: 9780673452757
Subjects: General; Mathematics; Science/Mathematics
Table of contents: label: Chapter 1
title: The Language of Algebra
pagenum: 2; label: 1-1
title: Describing Situations with Algebra
pagenum: 4; label: 1-2
title: Formulas
pagenum: 9; label: 1-3
title: Explicit Formulas for Sequences
pagenum: 14; label: 1-4
title: Recursive Formulas for Sequences
pagenum: 21; label: 1-5
title: Algebra as a Mathematical System
pagenum: 26; label: 1-6
title: Reasoning in Algebra
pagenum: 32; label: 1-7
title: Solving Equations
pagenum: 37; label: 1-8
title: Rewriting Formulas
pagenum: 42; label: 1-9
title: Solving Inequalities
pagenum: 47; title: Summary and Vocabulary
pagenum: 51; title: Progress Self-Test
pagenum: 52; title: Chapter Review
pagenum: 53; label: Chapter 2
title: Variations and Graphs
pagenum: 56; label: 2-1
title: Direct Variation
pagenum: 58; label: 2-2
title: Inverse Variation
pagenum: 63; label: 2-3
title: The Fundamental Theorem of Variation
pagenum: 68; label: 2-4
title: The Graph of y = kx
pagenum: 73; label: 2-5
title: The Graph of y = kx²
pagenum: 79; label: 2-6
title: Using an Automatic Grapher
pagenum: 86; label: 2-7
title: The Graphs of y = k/x and y = k/x²
pagenum: 92; label: 2-8
title: Fitting a Model to Data I
pagenum: 99; label: 2-9
title: Fitting a Model to Data II
pagenum: 105; label: 2-10
title: Combined and Joint Variation
pagenum: 110; title: Summary and Vocabulary
pagenum: 115; title: Progress Self-Test
pagenum: 117; title: Chapter Review
pagenum: 119; label: Chapter 3
title: Linear Relations
pagenum: 124; label: 3-1
title: Constant Increase or Decrease
pagenum: 126; label: 3-2
title: The Graph of y = mx + b
pagenum: 132; label: 3-3
title: Linear Combinations
pagenum: 138; label: 3-4
title: The Graph of Ax + By = C
pagenum: 143; label: 3-5
title: Finding an Equation of a Line
pagenum: 148; label: 3-6
title: Arithmetic Sequences: Explicit Formulas
pagenum: 154; label: 3-7
title: Arithmetic Sequences: Recursive Formulas
pagenum: 160; label: 3-8
title: Piecewise Linear Graphs
pagenum: 164; label: 3-9
title: Linear Inequalities
pagenum: 169; title: Summary and Vocabulary
pagenum: 174; title: Progress Self-Test
pagenum: 175; title: Chapter Review
pagenum: 176; label: Chapter 4
title: Matrices
pagenum: 180; label: 4-1
title: Storing Data in Matrices
pagenum: 182; label: 4-2
title: Matrix Multiplication
pagenum: 187; label: 4-3
title: Size Changes
pagenum: 193; label: 4-4
title: Scale Changes
pagenum: 199; label: 4-5
title: Reflections
pagenum: 204; label: 4-6
title: Transformations and Matrices
pagenum: 210; label: 4-7
title: Rotations
pagenum: 217; label: 4-8
title: Perpendicular Lines
pagenum: 222; label: 4-9
title: Matrix Addition
pagenum: 228; label: 4-10
title: Translations
pagenum: 234; title: Summary and Vocabulary
pagenum: 238; title: Progress Self-Test
pagenum: 240; title: Chapter Review
pagenum: 241; label: Chapter 5
title: Systems
pagenum: 244; label: 5-1
title: Compound Sentences
pagenum: 246; label: 5-2
title: Representing Systems
pagenum: 251; label: 5-3
title: The Linear-Combination Method
pagenum: 258; label: 5-4
title: The Substitution Method
pagenum: 264; label: 5-5
title: Inverses of Matrices
pagenum: 269; label: 5-6
title: Using Matrices to Solve Systems
pagenum: 275; label: 5-7
title: Systems of Linear Inequalities
pagenum: 282; label: 5-8
title: Linear Programming I
pagenum: 288; label: 5-9
title: Linear Programming II
pagenum: 295; title: Summary and Vocabulary
pagenum: 300; title: Progress Self-Test
pagenum: 301; title: Chapter Review
pagenum: 302; label: Chapter 6
title: Parabolas and Quadratic Equations
pagenum: 306; label: 6-1
title: Squares and Square Roots
pagenum: 308; label: 6-2
title: Graphing y = ax² + bx + c
pagenum: 314; label: 6-3
title: The Parabola
pagenum: 322; label: 6-4
title: The Graph-Translation Theorem
pagenum: 329; label: 6-5
title: Completing the Square
pagenum: 334; label: 6-6
title: The Quadratic Formula
pagenum: 340; label: 6-7
title: Analyzing Solutions to a Quadratic
pagenum: 346; label: 6-8
title: The Imaginary Number i
pagenum: 353; label: 6-9
title: Complex Numbers
pagenum: 357; label: 6-10
title: Solving All Quadratics
pagenum: 362; title: Summary and Vocabulary
pagenum: 367; title: Progress Self-Test
pagenum: 369; title: Chapter Review
pagenum: 370; label: Chapter 7
title: Functions
pagenum: 374; label: 7-1
title: Function Notation
pagenum: 376; label: 7-2
title: Graphs of Functions
pagenum: 381; label: 7-3
title: Composition of Functions
pagenum: 388; label: 7-4
title: Step Functions
pagenum: 393; label: 7-5
title: Other Special Functions
pagenum: 398; label: 7-6
title: Reflections and Inverses
pagenum: 405; label: 7-7
title: Inverse Functions
pagenum: 411; title: Summary and Vocabulary
pagenum: 418; title: Progress Self-Test
pagenum: 420; title: Chapter Review
pagenum: 421; label: Chapter 8
title: Powers and Roots
pagenum: 424; label: 8-1
title: Properties of Powers
pagenum: 426; label: 8-2
title: Compound Interest
pagenum: 432; label: 8-3
title: Geometric Sequences
pagenum: 438; label: 8-4
title: Negative Integer Exponents
pagenum: 443; label: 8-5
title: nth Roots
pagenum: 448; label: 8-6
title: Positive Rational Exponents
pagenum: 454; label: 8-7
title: Negative Rational Exponents
pagenum: 459; label: 8-8
title: Radical Notation for nth Roots
pagenum: 463; label: 8-9
title: Powers and Roots of Negative Numbers
pagenum: 468; label: 8-10
title: Solving axⁿ = b
pagenum: 472; label: 8-11
title: Solving a(x - h)ⁿ = b
pagenum: 476; title: Summary and Vocabulary
pagenum: 480; title: Progress Self-Test
pagenum: 481; title: Chapter Review
pagenum: 482; label: Chapter 9
title: Exponents and Logarithms
pagenum: 486; label: 9-1
title: Exponential Growth
pagenum: 488; label: 9-2
title: Exponential Decay
pagenum: 494; label: 9-3
title: Logarithmic Scales
pagenum: 499; label: 9-4
title: Common Logarithms
pagenum: 504; label: 9-5
title: Logarithms to Bases Other Than 10
pagenum: 509; label: 9-6
title: Properties of Logarithms
pagenum: 513; label: 9-7
title: The Number e
pagenum: 518; label: 9-8
title: Natural Logarithms
pagenum: 524; label: 9-9
title: Solving bˣ = a
pagenum: 529; title: Summary and Vocabulary
pagenum: 534; title: Progress Self-Test
pagenum: 536; title: Chapter Review
pagenum: 537; label: Chapter 10
title: Trigonometry
pagenum: 540; label: 10-1
title: The Trigonometric Ratios
pagenum: 542; label: 10-2
title: More Right Triangle Trigonometry
pagenum: 549; label: 10-3
title: Properties of Sines and Cosines
pagenum: 555; label: 10-4
title: The Unit Circle
pagenum: 560; label: 10-5
title: Cosines and Sines in Quadrants II-IV
pagenum: 565; label: 10-6
title: The Law of Cosines
pagenum: 570; label: 10-7
title: The Law of Sines
pagenum: 575; label: 10-8
title: Solving Sin θ = k
pagenum: 581; label: 10-9
title: The Cosine and Sine Functions
pagenum: 586; label: 10-10
title: Radian Measure
pagenum: 592; title: Summary and Vocabulary
pagenum: 598; title: Progress Self-Test
pagenum: 600; title: Chapter Review
pagenum: 601; label: Chapter 11
title: Polynomials
pagenum: 604; label: 11-1
title: Polynomial Models
pagenum: 606; label: 11-2
title: Polynomials and Geometry
pagenum: 611; label: 11-3
title: Factoring Polynomials
pagenum: 617; label: 11-4
title: The Factor Theorem
pagenum: 623; label: 11-5
title: Estimating Zeros of Polynomial Functions
pagenum: 630; label: 11-6
title: Solving All Polynomial Equations
pagenum: 638; label: 11-7
title: Finite Differences
pagenum: 644; label: 11-8
title: Modeling Data with Polynomials
pagenum: 651; title: Summary and Vocabulary
pagenum: 659; title: Progress Self-Test
pagenum: 660; title: Chapter Review
pagenum: 662; label: Chapter 12
title: Quadratic Relations
pagenum: 666; label: 12-1
title: Circles
pagenum: 668; label: 12-2
title: Semicircles, Interiors and Exteriors of Circles
pagenum: 674; label: 12-3
title: Drawing Ellipses and Hyperbolas
pagenum: 680; label: 12-4
title: Equations of Some Ellipses
pagenum: 687; label: 12-5
title: Relations Between Ellipses and Circles
pagenum: 695; label: 12-6
title: Equations for Some Hyperbolas
pagenum: 701; label: 12-7
title: More Hyperbolas
pagenum: 707; label: 12-8
title: Classifying Quadratic Relations
pagenum: 713; label: 12-9
title: Quadratic-Linear Systems
pagenum: 719; label: 12-10
title: Quadratic-Quadratic Systems
pagenum: 724; title: Summary and Vocabulary
pagenum: 732; title: Progress Self-Test
pagenum: 734; title: Chapter Review
pagenum: 735; label: Chapter 13
title: Series, Combinations, and Statistics
pagenum: 740; label: 13-1
title: Arithmetic Series
pagenum: 742; label: 13-2
title: Geometric Series
pagenum: 748; label: 13-3
title: The E and ! Symbols
pagenum: 753; label: 13-4
title: Infinite Geometric Series
pagenum: 759; label: 13-5
title: Pascal's Triangle
pagenum: 765; label: 13-6
title: The Binomial Theorem
pagenum: 771; label: 13-7
title: Subsets and Combinations
pagenum: 776; label: 13-8
title: Probabilities and Combinations
pagenum: 782; label: 13-9
title: Descriptive Statistics
pagenum: 788; label: 13-10
title: Binomial and Normal Distributions
pagenum: 793; label: 13-11
title: Polls and Sampling
pagenum: 798; title: Summary and Vocabulary
pagenum: 805; title: Progress Self-Test
pagenum: 807; title: Chapter Review
pagenum: 808; label: Chapter 14
title: Dimensions and Space
pagenum: 812; label: 14-1
title: Three-Dimensional Coordinates
pagenum: 814; label: 14-2
title: Equations of Planes
pagenum: 819; label: 14-3
title: Solving Systems in 3-Space
pagenum: 826; label: 14-4
title: Distance and Spheres
pagenum: 833; label: 14-5
title: Solids and Surfaces of Revolution
pagenum: 840; label: 14-6
title: Higher Dimensions
pagenum: 846; label: 14-7
title: Solving Higher Dimensional Systems
pagenum: 852; label: 14-8
title: Fractals
pagenum: 857; title: Summary and Vocabulary
pagenum: 865; title: Progress Self-Test
pagenum: 866; title: Chapter Review
pagenum: 867; label: Appendix A
title: Models for Operations
pagenum: 870; label: Appendix B
title: Geometry Formulas
pagenum: 871; label: Appendix C
title: Basic
pagenum: 873; label: Appendix D
title: Algebra Properties
pagenum: 875; title: Selected Answers
pagenum: 877; title: Table of Symbols
pagenum: 917; title: Glossary
pagenum: 918; title: Index
pagenum: 931