Prealgebra (with Make the Grade and InfoTrac)

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9780534434038: Prealgebra (with Make the Grade and InfoTrac)

This book is intended for a one-term course in Prealgebra. The basic concepts of algebra are introduced early in the book and then applied to new topics as they are encountered. Diagrams, charts, and graphs are emphasized to give students additional information, in visual form, to help them understand the material covered. Each chapter opens with a real-world application. Whenever possible, these introductions are expanded in the chapter and carried through to topics found later in the book.

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About the Author:

Charles P. "Pat" McKeague earned his B.A. in Mathematics from California State University, Northridge, and his M.S. in Mathematics from Brigham Young University. A well-known author and respected educator, he is a full-time writer and a part-time instructor at Cuesta College. He has published twelve textbooks in mathematics covering a range of topics from basic mathematics to trigonometry. An active member of the mathematics community, Professor McKeague is a popular speaker at regional conferences, including the California Mathematics Council for Community Colleges, the American Mathematical Association of Two-Year Colleges, the National Council of Teachers of Mathematics, the Texas Mathematics Association of Two-Year Colleges, the New Mexico Mathematics Association of Two-Year Colleges, and the National Association for Developmental Education. He is a member of the American Mathematics Association for Two-Year Colleges, the Mathematics Association of America, the National Council of Teachers of Mathematics, and the California Mathematics Council for Community Colleges.

Review:

1. WHOLE NUMBERS. Place Value and Names for Numbers. Addition with Whole Numbers, and Perimeter. Rounding Numbers, Estimating Answers, and Displaying Information. Subtraction with Whole Numbers. Multiplication with Whole Numbers. Division with Whole Numbers. Exponents, Order of Operations, and Averages. Area and Volume. 2. INTRODUCTION TO ALGEBRA. Positive and Negative Numbers. Addition with Negative Numbers. Subtraction with Negative Numbers. Multiplication with Negative Numbers. Division with Negative Numbers. Simplifying Algebraic Expressions. 3. FRACTIONS AND MIXED NUMBERS. The Meaning and Properties of Fractions. Prime Numbers, Factors, and Reducing to Lowest Terms. Multiplication with Fractions, and the Area of a Triangle. Division with Fractions. Addition and Subtraction with Fractions. Mixed-Number Notation. Multiplication and Division with Mixed Numbers. Addition and Subtraction with Mixed Numbers. Combinations of Operations and Complex Fractions. 4. SOLVING EQUATIONS. The Distributive Property and Algebraic Expressions. The Addition Property of Equality. The Multiplication Property of Equality. Linear Equations in One Variable. Applications. Evaluating Formulas. Paired Data and Equations in Two Variables. The Rectangular Coordinate System. Graphing Straight Lines. 5. DECIMALS. Decimal Notation and Place Value. Addition and Subtraction with Decimals. Multiplication with Decimals. Division with Decimals. Fractions and Decimals. Equations Containing Decimals. Square Roots and the Pythagorean Theorem. 6. RATIO AND PROPORTION. Ratios. Rates and Units Pricing. Proportions. Applications of Proportions. Similar Figures. 7. PERCENT. Percents, Decimals, and Fractions. Basic Percent Problems. General Applications of Percent. Sales Tax and Commission. Percent Increase or Decrease and Discount. Interest. Pie Charts. 8. MEASUREMENT. Unit Analysis I: Length. Unit Analysis II: Area and Volume. Unit Analysis III: Weight. Converting Between the Two Systems and Temperature. Operations with time and Mixed Units. 9. EXPONENTS AND POLYNOMIALS, AN INTRODUCTION. Multiplication Properties of Exponents. Adding and Subtracting Polynomials. Multiplying Polynomials: An Introduction. Negative Exponents. Scientific Notation. More about Scientific Notation. Appendixes. I: One Hundred Addition Facts. II: One Hundred Multiplication Facts. Solution to Selected Practice Problems. Answers to Odd-Numbered Problems, and Chapter Tests. Index.

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