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Beginning Algebra : A Text/Workbook

Beginning Algebra : A Text/Workbook

ISBN 9781133103639
Edition 9
Publication Date
Publisher Cengage
Author(s)
Overview
1. THE BASICS. Variables, Notation, and Symbols. Real Numbers. Addition and Subtraction of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Properties of Real Numbers. Subsets of Real Numbers. Addition and Subtraction of Fractions with Variables. 2. LINEAR EQUATIONS AND INEQUALITIES. Simplifying Expressions. Addition Property of Equality. Multiplication Property of Equality. Solving Linear Equation. Formulas. Applications. More Applications. Linear Inequalities. Compound Inequalities. 3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES Paired Data and Graphing Ordered Pairs. Solutions to Linear Equations in Two Variables. Graphing Linear Equations in Two Variables. More on Graphing: Intercepts. The Slope of a Line. Finding the Equation of a Line. Linear Inequalities in Two Variables. 4. SYSTEMS OF LINEAR EQUATIONS. Solving Linear Systems by Graphing. The Elimination Method. The Substitution Method. Applications. 5. EXPONENTS AND POLYNOMIALS. Multiplication with Exponents. Division with Exponents. Operations with Monomials. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Binomial Squares and Other Special Products. Divide a Polynomial by a Monomial. Divide a Polynomial by a Polynomial. 6. FACTORING. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. More Trinomials to Factor. The Difference of Two Squares. The Sum and Difference of Two Cubed. Factoring: A General Review. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. 7. RATIONAL EXPRESSIONS. Reducing Rational Expressions to Lowest Terms. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Equations Involving Rational Expressions. Applications of Rational Expressions. Complex Fractions. Proportions. Direct and Inverse Variation. 8. ROOTS AND RADICALS. Definitions and Common Roots. Properties of Radicals. Simplified Form for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radicals. Equations Involving Radicals. 9. QUADRATIC EQUATIONS More Quadratic Equations. Completing the Square. The Quadratic Formula. Complex Numbers. Complex Solutions to Quadratic Equations. Graphing Parabola. Appendices. A. Introduction to Functions. B. Functional Notation C. Fractional Exponents D. Equations with Absolute Value E. Inequalities with Absolute Value
Overview
1. THE BASICS. Variables, Notation, and Symbols. Real Numbers. Addition and Subtraction of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Properties of Real Numbers. Subsets of Real Numbers. Addition and Subtraction of Fractions with Variables. 2. LINEAR EQUATIONS AND INEQUALITIES. Simplifying Expressions. Addition Property of Equality. Multiplication Property of Equality. Solving Linear Equation. Formulas. Applications. More Applications. Linear Inequalities. Compound Inequalities. 3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES Paired Data and Graphing Ordered Pairs. Solutions to Linear Equations in Two Variables. Graphing Linear Equations in Two Variables. More on Graphing: Intercepts. The Slope of a Line. Finding the Equation of a Line. Linear Inequalities in Two Variables. 4. SYSTEMS OF LINEAR EQUATIONS. Solving Linear Systems by Graphing. The Elimination Method. The Substitution Method. Applications. 5. EXPONENTS AND POLYNOMIALS. Multiplication with Exponents. Division with Exponents. Operations with Monomials. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Binomial Squares and Other Special Products. Divide a Polynomial by a Monomial. Divide a Polynomial by a Polynomial. 6. FACTORING. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. More Trinomials to Factor. The Difference of Two Squares. The Sum and Difference of Two Cubed. Factoring: A General Review. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. 7. RATIONAL EXPRESSIONS. Reducing Rational Expressions to Lowest Terms. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Equations Involving Rational Expressions. Applications of Rational Expressions. Complex Fractions. Proportions. Direct and Inverse Variation. 8. ROOTS AND RADICALS. Definitions and Common Roots. Properties of Radicals. Simplified Form for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radicals. Equations Involving Radicals. 9. QUADRATIC EQUATIONS More Quadratic Equations. Completing the Square. The Quadratic Formula. Complex Numbers. Complex Solutions to Quadratic Equations. Graphing Parabola. Appendices. A. Introduction to Functions. B. Functional Notation C. Fractional Exponents D. Equations with Absolute Value E. Inequalities with Absolute Value

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