Algebra Structure and Method Book 1,9780395461402

Algebra Structure and Method Book 1

by
ISBN13: 9780395461402
ISBN10: 0395461405
Format: Hardcover
Pub. Date: 1989-04-01
Publisher(s): MCDOUG-LITTELL
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Table of Contents

Introduction to Algebra
Variables and Equations
Variables
1(5)
Grouping Symbols
6(4)
Equations
10(4)
Applications and Problem Solving
Translating Words into Symbols
14(5)
Translating Sentences into Equations
19(4)
Translating Problems into Equations
23(4)
A Problem Solving Plan
27(4)
Numbers on a Line
Number Lines
31(5)
Opposites and Absolute Values
36(9)
Working with Real Numbers
Additon and Subtraction
Basic Assumptions
45(4)
Addition on a Number Line
49(5)
Rules for Addition
54(5)
Subtracting Real Numbers
59(6)
Multiplication
The Distributive Property
65(5)
Rules for Multiplication
70(5)
Problem Solving: Consecutive Integers
75(4)
Division
The Reciprocal of a Real Number
79(4)
Dividing Real Numbers
83(12)
Solving Equations and Problems
Transforming Equations
Transforming Equations: Addition and Subtraction
95(7)
Transforming Equations: Multiplication and Division
102(5)
Using Several Transformations
107(5)
Solving Problems
Using Equations to Solve Problems
112(4)
Equations with the Variable on Both Sides
116(5)
Extending Your Problem Solving Skills
Problem Solving: Using Charts
121(5)
Cost, Income, and Value Problems
126(4)
Proof in Algebra
130(11)
Polynomials
Addition and Subtraction
Exponents
141(5)
Adding and Subtracting Polynomials
146(6)
Multiplication
Multiplying Monomials
152(3)
Powers of Monomials
155(3)
Multiplying Polynomials by Monomials
158(3)
Multiplying Polynomials
161(4)
Problem Solving
Transforming Formulas
165(2)
Rate-Time-Distance Problems
167(5)
Area Problems
172(3)
Problems without Solutions
175(10)
Factoring Polynomials
Quotients and Factoring
Factoring Integers
185(4)
Dividing Monomials
189(5)
Monomial Factors of Polynomials
194(6)
Products and Factors
Multiplying Binomials Mentally
200(4)
Differences of Two Squares
204(4)
Squares of Binomials
208(5)
Factoring Patterns
Factoring Pattern for x2 + bx + c, c positive
213(4)
Factoring Pattern for x2 + bx + c, c negative
217(3)
Factoring Pattern for ax2 + bx + c
220(4)
General Factoring and its Application
Factoring by Grouping
224(3)
Using Several Methods of Factoring
227(3)
Solving Equations by Factoring
230(4)
Using Factoring to Solve Problems
234(13)
Fractions
Algebraic Fractions
Simplifying Fractions
247(4)
Multiplying Fractions
251(4)
Dividing Fractions
255(4)
Adding and Subtracting Fractions
Least Common Denominators
259(5)
Adding and Subtracting Fractions
264(6)
Polynomial Division
Mixed Expressions
270(4)
Polynomial Long Division
274(13)
Applying Fractions
Ratio and Proportion
Ratios
287(6)
Proportions
293(5)
Fractional Equations
Equations with Fractional Coefficients
298(6)
Fractional Equations
304(5)
Percent Problems
Percents
309(6)
Percent Problems
315(6)
Mixture and Work Problems
Mixture Problems
321(5)
Work Problems
326(5)
Problems Involving Exponents
Negative Exponents
331(5)
Scientific Notation
336(13)
Introduction to Functions
Using Two Variables
Equations in Two Variables
349(4)
Points, Lines, and Their Graphs
353(7)
Linear Equations
Slope of a Line
360(6)
The Slope-Intercept Form of a Linear Equation
366(5)
Determining an Equation of a Line
371(3)
Functions
Functions Defined by Tables and Graphs
374(5)
Functions Defined by Equations
379(4)
Linear and Quadratic Functions
383(8)
Variation
Direct Variation
391(6)
Inverse Variation
397(16)
Systems of Linear Equations
Solving Systems of Linear Equations
The Graphing Method
413(4)
The Substitution Method
417(4)
Solving Problems with Two Variables
421(5)
The Addition-or-Subtraction Method
426(4)
Multiplication with the Addition-or-Subtraction Method
430(8)
Application
Wind and Water Current Problems
438(6)
Puzzle Problems
444(13)
Inequalities
Inequalities in One Variable
Order of Real Numbers
457(5)
Solving Inequalities
462(7)
Solving Problems Involving Inequalities
469(9)
Combining Open Sentences
Solving Combined Inequalities
478(4)
Absolute Value in Open Sentences
482(4)
Absolute Values of Products in Open Sentences
486(4)
Inequalities in Two Variables
Graphing Linear Inequalities
490(5)
Systems of Linear Inequalities
495(12)
Rational and Irrational Numbers
Rational Numbers
Properties of Rational Numbers
507(5)
Decimal Forms of Rational Numbers
512(5)
Rational Square Roots
517(4)
Irrational Numbers
Irrational Square Roots
521(4)
Square Roots of Variable Expressions
525(4)
The Pythagorean Theorem
529(8)
Radical Expressions
Multiplying, Dividing, and Simplifying Radicals
537(3)
Adding and Subtracting Radicals
540(4)
Multiplication of Binomials Containing Radicals
544(3)
Simple Radical Equations
547(14)
Quadratic Functions
Quadratic Equations
Quadratic Equations with Perfect Squares
561(3)
Completing the Square
564(3)
The Quadratic Formula
567(5)
Graphs of Quadratic Equations: The Discriminant
572(4)
Using Quadratic Equations
Methods of Solution
576(3)
Solving Problems Involving Quadratic Equations
579(5)
Variation
Direct and Inverse Variation Involving Squares
584(4)
Joint and Combined Variation
588(12)
Looking Ahead
Probability
Sample Spaces and Events
600(3)
Probability
603(3)
Statistics
Frequency Distributions
606(5)
Presenting Statistical Data
611(5)
Geometry
Points, Lines, and Angles
616(3)
Pairs of Angles
619(2)
Triangles
621(3)
Similar Triangles
624(3)
Trigonometry
Trigonometric Ratios
627(3)
Values of Trigonometric Ratios
630(3)
Problem Solving Using Trigonometry
633(6)
Extra Practice: Skills 639(26)
Problem Solving 665(16)
Tables 681(4)
Appendix: Preparing for College Entrance Exams 685(4)
Glossary of Properties 689(2)
Glossary of Terms 691(10)
Index 701(10)
Acknowledgments 711

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