
Algebra: A Combined Approach, 1/e
Elayn MartinGay, University of New Orleans Published June, 1999 by Prentice Hall Engineering/Science/Mathematics
 
See other books about:

R. Prealgebra Review. Factors and the Least Common Multiple. Fractions. Decimals and Percents. 1. Real Numbers and Introduction to Algebra. Symbols and Sets of Numbers. Introduction to Variable Expressions and Equations. Adding Real Numbers. Subtracting Real Numbers. Multiplying Real Numbers. Dividing Real Numbers. Integrated Review—Operations on Real Numbers. Properties of Real Numbers. Reading Graphs. 2. Equations, Inequalities, and Problem Solving. Simplifying Expressions. The Addition Property of Equality. The Multiplication Property of Equality. Further Solving Linear Equations. Integrated Review—Solving Linear Equations. An Introduction to Problem Solving. Formulas and Problem Solving. Percent, Ratio, and Proportion. Linear Inequalities and Problem Solving. 3. Graphing Equations and Inequalities. The Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope. Integrated Review—Summary on Linear Equations. Graphing Linear Inequalities in Two Variables. 4. Exponents and Polynomials. Exponents. Negative Exponents and Scientific Notation. Introduction to Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Integrated Review—Operations on Polynomials. Dividing Polynomials. 5. Factoring Polynomials. The Greatest Common Factor. Factoring Trinomials of the Form x2+ bx + c. Factoring Trinomials of the Forms ax2+ bx + c. Factoring Trinomials of the Forms ax2+ bx + c by Grouping. Factoring Perfect Square Trinomials and the Differences of Two Squares. Integrated ReviewChoosing a Factoring Strategy. Solving Quadratic Equations by Factoring. Quadratic Equations and Problem Solving. 6. Rational Expressions. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator. Adding and Subtracting Rational Expressions with Different Denominators. Solving Equations Containing Rational Expressions. Integrated Review—Summary on Rational Expressions. Rational Equations and Problem Solving. Simplifying Complex Fractions. 7. Graphs and Functions. The SlopeIntercept Form. More Equations of Lines. Integrated Review—Linear Equations in Two Variables. Introduction to Functions. Polynomial and Rational Functions. An Introduction to Graphing Polynomial Functions. 8. Systems of Equations. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by Substitution. Solving Systems of Linear Equations by Addition. Solving Systems of Linear Equations in Three Variables. Integrated Review—Systems of Linear Equations. Solving Systems of Linear Equations Using Matricies. Solving Systems of Linear Equations Using Determinants. Systems of Inequalities. 9. Rational Exponents, Radicals, and Complex Numbers. Radical Expressions. Rational Exponents. Simplifying Radical Expressions. Adding, Subtracting, and Multiplying Radical Expressions. Rationalizing Numerators and Denominators of Radical Expressions. Integrated Review—Radicals and Rational Exponents. Radical Equations and Problem Solving. Complex Numbers. 10. Quadratic Equations and Functions. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Solving Equations by Using Quadratic Methods. Integrated Review—Summary on Solving Quadratic Equations. Nonlinear Inequalities in One Variable. Quadratic Functions and Their Graphs. Further Graphing of Quadratic Functions. 11. Exponential and Logarithmic Functions. The Algebra of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Integrated Review—Functions and Properties of Logarithms. Common Logarithms, Natural Logarithms, and Changes of Base. Exponential and Logarithmic Equations and Problem Solving. 12. Conic Sections. The Parabola and the Circle. The Ellipse and the Hyperbola. Integrated Review—Graphing Conic Sections. Graphing Nonlinear Functions. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities. Appendix A: Review of Angles, Lines, and Special Triangles. Appendix B: Review of Geometric Figures. Appendix C: Table of Squares and Square Roots. Appendix D: Mean, Median and Mode. Appendix E: Sets and Compound Inequalities. Appendix F: Absolute Value Equations and Inequalities.
