Prealgebra & introductory algebra

Front Cover
Title Page
Copyright Page
Contents
Preface
Applications Index
1 The Whole Numbers
	1.1 Study Skill Tips for Success in Mathematics
	1.2 Place Value, Names for Numbers, and Reading Tables
	1.3 Adding and Subtracting Whole Numbers, and Perimeter
	1.4 Rounding and Estimating
	1.5 Multiplying Whole Numbers and Area
	1.6 Dividing Whole Numbers
		Integrated Review—Operations on Whole Numbers
	1.7 Exponents and Order of Operations
	1.8 Introduction to Variables, Algebraic Expressions, and Equations
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Chapter Getting Ready for the Test
	Chapter  Test
2 Integers and Introduction to Solving Equations
	2.1 Introduction to Integers
	2.2 Adding Integers
	2.3 Subtracting Integers
	2.4 Multiplying and Dividing Integers
		Integrated Review—Integers
	2.5 Order of Operations
	2.6 Solving Equations: The Addition and Multiplication Properties
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
3 Solving Equations and Problem Solving
	3.1 Simplifying Algebraic Expressions
	3.2 Solving Equations: Review of the Addition and Multiplication Properties
		Integrated Review—Expressions and Equations
	3.3 Solving Linear Equations in One Variable
	3.4 Linear Equations in One Variable and Problem Solving
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
4 Fractions and Mixed Numbers
	4.1 Introduction to Fractions and Mixed Numbers
	4.2 Factors and Simplest Form
	4.3 Multiplying and Dividing Fractions
	4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions
	4.5 Adding and Subtracting Unlike Fractions
		Integrated Review—Summary on Fractions and Operations on Fractions
	4.6 Complex Fractions and Review af Order of Operations
	4.7 Operations on Mixed Numbers
	4.8 Solving Equations Containing Fractions
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
5 Decimals
	5.1 Introduction to Decimals
	5.2 Adding and Subtracting Decimals
	5.3 Multiplying Decimals and Circumference of a Circle
	5.4 Dividing Decimals
		Integrated Review—Operations on Decimals
	5.5 Fractions, Decimals, and Order of Operations
	5.6 Solving Equations Containing Decimals
	5.7 Decimal Applications: Mean, Median, and Mode
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
6 Ratio, Proportion, and Percent
	6.1 Ratio and Proportion
	6.2 Percents, Decimals, and Fractions
	6.3 Solving Percent Problems with Equations
	6.4 Solving Percent Problems with Proportions
		Integrated Review—Ratio, Proportion, and Percent
	6.5 Applications of Percent
	6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount
	6.7 Percent and Problem Solving: Interest
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
7 Graphs, Triangle Applications, and Introduction to Statistics and Probability
	7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics
	7.2 Circle Graphs
		Integrated Review—Reading Graphs
	7.3 Square Roots and the Pythagorean Theorem
	7.4 Congruent and Similar Triangles
	7.5 Counting and Introduction to Probability
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
8 Geometry and Measurement
	8.1 Lines and Angles
	8.2 Perimeter
	8.3 Area, Volume, and Surface Area
		Integrated Review—Geometry Concepts
	8.4 Linear Measurement
	8.5 Weight and Mass
	8.6 Capacity
	8.7 Temperature and Conversions Between the U.S. and Metric Systems
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
9 Equations, Inequalities, and Problem Solving
	9.1 Symbols and Sets of Numbers
	9.2 Properties of Real Numbers
	9.3 Further Solving Linear Equations
		Integrated Review—Real Numbers and Solving Linear Equations
	9.4 Further Problem Solving
	9.5 Formulas and Problem Solving
	9.6 Linear Inequalities and Problem Solving
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
10 Exponents and Polynomials
	10.1 Exponents
	10.2 Negative Exponents and Scientific Notation
	10.3 Introduction to Polynomials
	10.4 Adding and Subtracting Polynomials
	10.5 Multiplying Polynomials
	10.6 Special Products
		Integrated Review—Exponents and Operations on Polynomials
	10.7 Dividing Polynomials
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
11 Factoring Polynomials
	11.1 The Greatest Common Factor and Factoring by Grouping
	11.2 Factoring Trinomials of the Form x2 + bx + c
	11.3 Factoring Trinomials of the Form ax2 + bx + c
	11.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
	11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares
		Integrated Review—Choosing a Factoring Strategy
	11.6 Solving Quadratic Equations by Factoring
	11.7 Quadratic Equations and Problem Solving
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
12 Rational Expressions
	12.1 Simplifying Rational Expressions
	12.2 Multiplying and Dividing Rational Expressions
	12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
	12.4 Adding and Subtracting Rational Expressions with Different Denominators
	12.5 Solving Equations Containing Rational Expressions
		Integrated Review—Summary on Rational Expressions
	12.6 Rational Equations and Problem Solving
	12.7 Simplifying Complex Fractions
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
13 Graphing Equations and Inequalities
	13.1 The Rectangular Coordinate System
	13.2 Graphing Linear Equations
	13.3 Intercepts
	13.4 Slope and Rate of Change
	13.5 Equations of Lines
		Integrated Review—Summary on Linear Equations
	13.6 Introduction to Functions
	13.7 Graphing Linear Inequalities in Two Variables
	13.8 Direct and Inverse Variation
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready for the Test
	Chapter Test
	Cumulative Review
14 Systems of Equations
	14.1 Solving Systems of Linear Equations by Graphing
	14.2 Solving Systems of Linear Equations by Substitution
	14.3 Solving Systems of Linear Equations by Addition
		Integrated Review—Summary on Solving Systems of Equations
	14.4 Systems of Linear Equations and Problem Solving
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready f or the Test
	Chapter Test
	Cumulative Review
15 Roots and Radicals
	15.1 Introduction to Radicals
	15.2 Simplifying Radicals
	15.3 Adding and Subtracting Radicals
	15.4 Multiplying and Dividing Radicals
		Integrated Review—Simplifying Radicals
	15.5 Solving Equations Containing Radicals
	15.6 Radical Equations and Problem Solving
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready f or the Test
	Chapter Test
	Cumulative Review
16 Quadratic Equations
	16.1 Solving Quadratic Equations by the Square Root Property
	16.2 Solving Quadratic Equations by Completing the Square
	16.3 Solving Quadratic Equations by the Quadratic Formula
		Integrated Review—Summary on Solving Quadratic
Equations
	16.4 Graphing Quadratic Equations in Two Variables
	Group Activity
	Vocabulary Check
	Chapter Highlights
	Chapter Review
	Getting Ready f or the Test
	Chapter Test
	Cumulative Review
Appendix A Tables
	A.1 Table of Geometric Figures
	A.2 Table of Percents, Decimals, and Fraction Equivalents
	A.3 Table on Finding Common Percents of a Number
	A.4 Table of Squares and Square Roots
Appendix B Factoring Sums and Differences of Cubes
Appendix C Mixture and Uniform Motion Problem Solving
Appendix D Systems of Linear Inequalities
Appendix E Geometric Formulas
Student Resources
	Study Skills Builders
	Bigger Picture—Study Guide Outline
	Practice Final Exam
Answers to Selected Exercises
Subject Index
Photo Credits