Prealgebra / Edition 1 available in Paperback
This book helps to better prepare students for higher-level math courses by integrating basic algebraic concepts early and continuing to revisit those concepts throughout. The friendly composition and the many pedagogical features are designed to help with student comprehension. The modern, relevant applications increase student motivation by immersing them in truly genuine and realistic mathematical situations.
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Table of Contents(Each chapter ends with a Summary, Review Exercises and a Chapter Test. With the exception of Chapter 1, each chapter also ends with a set of cumulative review exercises.).
List of Applications.
An Introduction to Scientific Calculators.
To the Student.
1. Introduction to Algebra: Integers.
Introduction to Signed Numbers.
Problem Solving: Rounding and Estimating.
Exponents and Order of Operations.
Summary Exercises on Operations with Integers.
2. Understanding Variables and Solving Equations.
Introduction to Variables.
Solving Equations Using Addition.
Solving Equations Using Division.
Solving Equations with Several Steps.
3. Solving Application Problems.
Problem Solving: Perimeter.
Problem Solving: Area.
Solving Application Problems with One Unknown Quantity.
Solving Application Problems with Two Unknown Quantities.
4. Rational Numbers: Positive and Negative Fractions.
Introduction to Signed Fractions.
Writing Fractions in Lowest Terms.
Multiplying and Dividing Signed Fractions.
Adding and Subtracting Signed Fractions.
Problem Solving: Mixed Numbers and Estimating.
Summary Exercises on Fractions.
Exponents, Order of Operations, and Complex Fractions.
Problem Solving: Equations Containing Fractions.
Geometry Applications: Area and Volume.
5. Positive and Negative Decimals.
Reading and Writing Decimal Numbers.
Rounding Decimal Numbers.
Adding and Subtracting Signed Decimal Numbers.
Multiplying SignedDecimal Numbers.
Dividing Signed Decimal Numbers.
Fractions and Decimals.
Problem Solving with Statistics: Mean, Median, Mode, and Variability.
Geometry Applications: Pythagorean Theorem and Square Roots.
Problem Solving: Equations Containing Decimals.
Geometry Applications: Circles, Cylinders, and Surface Area.
6. Ratio, Proportion, and Line/Angle/Triangle Relationships.
Problem Solving with Proportions.
Geometry: Lines and Angles.
Geometry Applications: Congruent and Similar Triangles.
The Basics of Percent.
The Percent Proportion.
The Percent Equation.
Problem Solving with Percent.
Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest.
Summary Exercises on Percent.
Problem Solving with English Measurement.
The Metric System-Length.
The Metric System-Capacity and Weight (Mass).
Problem Solving with Metric Measurement.
Metric-English Conversions and Temperature Formulas.
Reading and Interpreting Tables and Pictographs.
Reading and Constructing Circle Graphs.
Bar Graphs and Line Graphs.
The Rectangular Coordinate System.
Graphing Linear Equations.
10. Exponents and Polynomials.
The Product Rule and Power Rules for Exponents.
Integer Exponents and the Quotient Rule.
An Application of Exponents: Scientific Notation.
Adding and Subtracting Polynomials.
Multiplying Polynomials: An Introduction.
R. Whole Numbers Review.
Adding Whole Numbers.
Subtracting Whole Numbers.
Multiplying Whole Numbers.
Dividing Whole Numbers.
Appendix: Inductive and Deductive Reasoning.
Answers to Selected Exercises.