Prealgebra

List of contents

Index of Group Activities
Preface
Feature Walk-Through
An Introduction to Scientific Calculators
To The Student
Diagnostic Pretest
 
1. Introduction to Algebra: Integers
1.1 Place Value
1.2 Introduction to Signed Numbers
1.3 Adding Integers
1.4 Subtracting Integers
1.5 Problem Solving: Rounding and Estimating
1.6 Multiplying Integers
1.7 Dividing Integers
Summary Exercises on Operations with Integers
1.8 Exponents and Order of Operations
Summary ~ Review Exercises ~ Test
 
2. Understanding Variables and Solving Equations
2.1 Introduction to Variables
2.2 Simplifying Expressions
Summary Exercises on Variables and Expressions
2.3 Solving Equations Using Addition
2.4 Solving Equations Using Division
2.5 Solving Equations with Several Steps
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
3. Solving Application Problems
3.1 Problem Solving: Perimeter
3.2 Problem Solving: Area
Summary Exercises on Perimeter and Area
3.3 Solving Application Problems with One Unknown Quantity
3.4 Solving Application Problems with Two Unknown Quantities
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
 
4. Rational Numbers: Positive and Negative Fractions
4.1 Introduction to Signed Fractions
4.2 Writing Fractions in Lowest Terms
4.3 Multiplying and Dividing Signed Fractions
4.4 Adding and Subtracting Signed Fractions
4.5 Problem Solving: Mixed Numbers and Estimating
Summary Exercises on Fractions
4.6 Exponents, Order of Operations, and Complex Fractions
4.7 Problem Solving: Equations Containing Fractions
4.8 Geometry Applications: Area and Volume
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
5. Rational Numbers: Positive and Negative Decimals
5.1 Reading and Writing Decimal Numbers
5.2 Rounding Decimal Numbers
5.3 Adding and Subtracting Signed Decimal Numbers
5.4 Multiplying Signed Decimal Numbers
5.5 Dividing Signed Decimal Numbers
Summary Exercises on Decimals
5.6 Fractions and Decimals
5.7 Problem Solving with Statistics: Mean, Median, Mode, and Variability
5.8 Geometry Applications: Pythagorean Theorem and Square Roots
5.9 Problem Solving: Equations Containing Decimals
5.10 Geometry Applications: Circles, Cylinders, and Surface Area
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
6. Ratio, Proportion, and Line/Angle/Triangle Relationships
6.1 Ratios
6.2 Rates
6.3 Proportions
Summary Exercises on Ratios, Rates, and Proportions
6.4 Problem Solving with Proportions
6.5 Geometry: Lines and Angles
6.6 Geometry Applications: Congruent and Similar Triangles
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
7. Percent
7.1 The Basics of Percent
7.2 The Percent Proportion
7.3 The Percent Equation
Summary Exercises on Percent
7.4 Problem Solving with Percent
7.5 Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
 
8. Measurement
8.1 Problem Solving with English Measurement
8.2 The Metric System-Length
8.3 The Metric System-Capacity and Weight (Mass)
8.4 Problem Solving with Metric Measurements
8.5 Metric-English Conversions and Temperature
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
9. Graphs
9.1 Problem Solving with Tables and Pictographs
9.2 Reading and Constructing Circle Graphs
9.3 Bar Graphs and Line Graphs
9.4 The Rectangular Coordinate System
9.5 Introduction to Graphing Linear Equations
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
10. Exponents and Polynomials
10.1 The Product Rule and Power Rules for Exponents
10.2 Integer Exponents and the Quotient Rule
Summary Exercises on Exponents
10.3 An Application of Exponents: Scientific Notation
10.4 Adding and Subtracting Polynomials
10.5 Multiplying Polynomials: An Introduction
Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises
 
R. Whole Numbers Review
Whole Numbers Computation: Pretest
R.1 Adding Whole Numbers
R.2 Subtracting Whole Numbers
R.3 Multiplying Whole Numbers
R.4 Dividing Whole Numbers
R.5 Long Division
Summary ~ Review Exercises ~ Test
 
Appendix A: Study Skills
Appendix B: Inductive and Deductive Reasoning
 
Answers to Selected Exercises
Index

Summary

Lial and Hestwood's Prealgebra: An Integrated Approach focuses on the basic concepts of algebra, while integrating arithmetic review and geometry topics into the text at appropriate points. The text begins with early coverage of integers (Section 1.2) and then introduces variables, expressions, and equations in such a way that students see the need for variables, the usefulness of algebraic expressions and formulas, and the power of writing and solving equations.

Product details

• Authors: Diana L. Hestwood, Margaret L. Lial
• Publisher: Pearson Academic
• Languages: English
• Product format: Hardback
• Released: 01.01.2007
• EAN: 9780321356390
• ISBN: 978-0-321-35639-0
• No. of pages: 768
• Weight: 2040 g
• Series: Addison-Wesley; Lial Developmental Mathematics; Addison-Wesley
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra