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Full Description
Beginning & Intermediate Algebra gives you a solid foundation in algebra and is ideal for students who might not have previous algebra experience. Author Elayn Martin-Gay believes that every student can succeed in math; students' needs inspire her clear, accessible writing along with her popular and effective video materials. Beginning & Intermediate Algebra provides the most up-to-date, relevant presentation for your next math course, or for non-mathematical courses that require an understanding of algebraic fundamentals. The 7th Edition is updated and enhanced with a new design throughout that helps you easily use the text, software and video program, and Video Notebook as an integrated learning system; it increases emphasis on study skills and much more.
Contents
Review of Real Numbers
1.1 Study Skill Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Fractions and Mixed Numbers
1.4 Exponents, Order of Operations, Variable Expressions and Equations
1.5 Adding Real Numbers
1.6 Subtracting Real Numbers
1.7 Multiplying and Dividing Real Numbers
1.8 Properties of Real Numbers
Equations, Inequalities, and Problem Solving
2.1 Simplifying Algebraic Expressions
2.2 The Addition and Multiplication Properties of Equality
2.3 Solving Linear Equations
2.4 An Introduction to Problem Solving
2.5 Formulas and Problem Solving
2.6 Percent and Mixture Problem Solving
2.7 Further Problem Solving
2.8 Solving Linear Inequalities
Graphing
3.1 Reading Graphs and the Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 Intercepts
3.4 Slope and Rate of Change
3.5 Equation of Lines
3.6 Functions
Solving Systems of Linear Equations
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Addition
4.4 Solving Systems of Linear Equations in Three Variables
4.5 Systems of Linear Equations and Problem Solving
Exponents and Polynomials
5.1 Exponents
5.2 Polynomial Functions and Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Special Products
5.5 Negative Exponents and Scientific Notation
5.6 Dividing Polynomials
5.7 Synthetic Division and the Remainder Theorem
Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x2 + bx + c
6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials
6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
6.5 Factoring Binomials
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Equations and Problem Solving
Rational Expressions
7.1 Rational Functions and Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
7.4 Adding and Subtracting Rational Expressions with Unlike Denominators
7.5 Solving Equations Containing Rational Expressions
7.6 Proportion and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
More on Functions and Graphs
8.1 Graphing and Writing Linear Functions
8.2 Reviewing Function Notation and Graphing Nonlinear Functions
8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
8.4 Variation and Problem Solving
Inequalities and Absolute Value
9.1 Compound Inequalities
9.2 Absolute Value Equations
9.3 Absolute Value Inequalities
9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
Rational Exponents, Radicals, and Complex Numbers
10.1 Radicals and Radical Functions
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Adding, Subtracting, and Multiplying Radical Expressions
10.5 Rationalizing Denominators and Numerators of Radical Expressions
10.6 Radical Equations and Problem Solving
10.7 Complex Numbers
Quadratic Equations and Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 Solving Quadratic Equations by the Quadratic Formula
11.3 Solving Equations by Using Quadratic Methods
11.4 Nonlinear Inequalities in One Variable
11.5 Quadratic Functions and Their Graphs
11.6 Further Graphing of Quadratic Functions
Exponential and Logarithmic Functions
12.1 The Algebra of Functions; Composite Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Exponential Growth and Decay Functions
12.5 Logarithmic Functions
12.6 Properties of Logarithms
12.7 Common Logarithms, Natural Logarithms, and Change of Base
12.8 Exponential and Logarithmic Equations and Problem Solving
Conic Sections
13.1 The Parabola and the Circle
13.2 The Ellipse and the Hyperbola
13.3 Solving Nonlinear Systems of Equations
13.4 Nonlinear Inequalities and Systems of Inequalities
Sequences, Series, and the Binomial Theorem
14.1 Sequences
14.2 Arithmetic and Geometric Sequences
14.3 Series
14.4 Partial Sums of Arithmetic and Geometric Sequences
14.5 The Binomial Theorem
Appendix A: Operations on Decimals/Table of Percent, Decimal, and Fraction Equivalents Appendix B: Review of Algebra Topics Appendix C: An Introduction to Using a Graphing Utility Appendix D: Solving Systems of Equations by Matrices Appendix E: Solving Systems of Equations Using Determinants Appendix F: Mean, Median, Mode Appendix G: Review of Angles, Lines, and Special Triangles Student Resources Study Skill Builders Bigger Picture: Study Guide Outline Practice Final Exam
