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# Beginning Algebra

ISBN 9781259610257
Edition 5
Publication Date
Publisher Mc GrawHill
Overview
Beginning Algebra, Miller, O'Neill, Hyde, 5 editionChapter 1: The Set of Real Numbers1.1Fractions1.2Introduction to Algebra and the Set of Real Numbers1.3Exponents, Square Roots, and the Order of Operations1.4Addition of Real Numbers1.5Subtraction of Real Numbers

Problem Recognition Exercises—Addition and Subtraction of Real Numbers

1.6Multiplication and Division of Real Numbers

Problem Recognition Exercises—Adding, Subtracting, Multiplying, and Dividing Real Numbers

1.7Properties of Real Numbers and Simplifying ExpressionsChapter 2:Linear Equations and Inequalities 2.1Addition, Subtraction, Multiplication, and Division Properties of Equality2.2Solving Linear Equations2.3Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises—Equations vs.Expressions

2.4Applications of Linear Equations: Introduction to Problem Solving2.5Applications Involving Percents2.6Formulas and Applications of Geometry2.7Mixture Applications and Uniform Motion2.8Linear InequalitiesChapter 3:Graphing Linear Equations in Two Variables 3.1Rectangular Coordinate System3.2Linear Equations in Two Variables3.3Slope of a Line and Rate of Change3.4Slope-Intercept Form of a Linear Equation

Problem Recognition Exercises—Linear Equations in Two Variables

3.5Point-Slope Formula3.6Applications of Linear Equations and ModelingChapter 4:Systems of Linear Equations in Two Variables 4.1Solving Systems of Equations by the Graphing Method4.2Solving Systems of Equations by the Substitution Method4.3Solving Systems of Equations by the Addition Method

Problem Recognition Exercises—Systems of Equations

4.4Applications of Linear Equations in Two Variables4.5Linear Inequalities and Systems of Inequalities in Two VariablesChapter 5:Polynomials and Properties of Exponents 5.1Multiplying and Dividing Expressions with Common Bases5.2More Properties of Exponents5.3Definitions of b^0 and b^-nProblem Recognition Exercises—Properties of Exponents5.4Scientific Notation5.5Addition and Subtraction of Polynomials5.6Multiplication of Polynomials and Special Products5.7Division of Polynomials

Problem Recognition Exercises—Operations on Polynomials

Chapter 6:Factoring Polynomials 6.1Greatest Common Factor and Factoring by Grouping6.2Factoring Trinomials of the Form x^2 + bx + c 6.3Factoring Trinomials: Trial-and-Error Method6.4Factoring Trinomials: AC-Method6.5Difference of Squares and Perfect Square Trinomials6.6Sum and Difference of Cubes

Problem Recognition Exercises—Factoring Strategy

6.7Solving Equations Using the Zero Product Rule

Problem Recognition Exercises— Polynomial Expressions versus Polynomial Equations

6.8Applications of Quadratic EquationsChapter 7:Rational Expressions and Equations7.1Introduction to Rational Expressions7.2Multiplication and Division of Rational Expressions7.3Least Common Denominator7.4Addition and Subtraction of Rational Expressions

Problem Recognition Exercises—Operations on Rational Expressions

7.5Complex Fractions7.6Rational Equations

Problem Recognition Exercises—Comparing Rational Equations and Rational Expressions