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KEY BENEFIT: TheBittinger Concepts and Applications Seriesextends proven pedagogy to a new generation of students, with updates throughout to help today's students learn. Bittinger transitions students from skills-based math to the concepts-oriented math required for college courses, and supports students with quality applications and exercises to help them apply and retain their knowledge. New features such as Translating for Success and Visualizing the Graph unlock the way students think, making math accessible to them. KEY TOPICS: MARKET: For all readers interested in algebra.
Table of Contents
1. Introduction to Algebraic Expressions
Introduction to Algebra
The Commutative, Associative, and Distributive Laws
Fraction Notation
Positive and Negative Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Notation and Order of Operations
2. Equations, Inequalities, and Problem Solving
Solving Equations
Using the Principles Together
Formulas
Applications with Percent
Problem Solving
Solving Inequalities
Solving Applications with Inequalities
3. Introduction to Graphing
Reading Graphs, Plotting Points, and Scaling Graphs
Graphing Linear Equations
Graphing and Intercepts
Rates
Slope
Slope-Intercept Form
Point-Slope Form
4. Polynomials
Exponents and Their Properties
Negative Exponents and Scientific Notation
Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Special Products
Polynomials in Several Variables
Division of Polynomials
5. Polynomials and Factoring
Introduction to Factoring
Factoring Trinomials of the Type x2 + bx + c
Factoring Trinomials of the Type ax2 + bx + c
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring Sums or Differences of Cubes
Factoring: A General Strategy
Solving Quadratic Equations by Factoring
Solving Applications
6. Rational Expressions and Equations
Rational Expressions
Multiplication and Division
Addition, Subtraction, and Least Common Denominators
Addition and Subtraction with Unlike Denominators
Complex Rational Expressions
Solving Rational Equations
Applications Using Rational Equations and Proportions
7. Functions and Graphs
Introduction to Functions
Domain and Range
Graphs of Functions (including brief review of graphing)
The Algebra of Functions
Formulas, Applications, and Variation
8. Systems of Equations and Problem Solving
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Solving Applications: Systems of Three Equations
Elimination Using Matrices
Determinants and Cramer's Rule
Business and Economics Applications
9. Inequalities and Problem Solving
Inequalities and Domain
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Applications Using Linear Programming
10. Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
The Distance and Midpoint Formulas and Other Applications
The Complex Numbers
11. Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Studying Solutions of Quadratic Equations
Applications Involving Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graphs
More about Graphing Quadratic Functions
Problem Solving and Quadratic Functions
Polynomial and Rational Inequalities
12. Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithmic Functions
Common and Natural Logarithms
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
13. Conic Sections
Conic Sections: Parabolas and Circles
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Nonlinear Systems of Equations
14. Sequences, Series, and the Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
R. Elementary Algebra Review
Introduction to Algebraic Expressions
Equations, Inequalities, and Problem Solving
Introduction to Graphing
Polynomials
Polynomials and Factoring
Rational Expressions and Equation
Appendixes
A Mean, Median and Mode
B Sets
C Synthetic Division
Tables
1 Fraction and Decimal Equivalents
2 Squares and Square Roots with Approximations to Three Decimal Places
Answers A-1 Additional Instructor's Answers IA-1
Glossary G-1
Index I-1
Index of Applications I-10
KEY BENEFIT: TheBittinger Concepts and Applications Seriesextends proven pedagogy to a new generation of students, with updates throughout to help today's students learn. Bittinger transitions students from skills-based math to the concepts-oriented math required for college courses, and supports students with quality applications and exercises to help them apply and retain their knowledge. New features such as Translating for Success and Visualizing the Graph unlock the way students think, making math accessible to them. KEY TOPICS: MARKET: For all readers interested in algebra.
Table of Contents
Table of Contents
1. Introduction to Algebraic Expressions
Introduction to Algebra
The Commutative, Associative, and Distributive Laws
Fraction Notation
Positive and Negative Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Notation and Order of Operations
2. Equations, Inequalities, and Problem Solving
Solving Equations
Using the Principles Together
Formulas
Applications with Percent
Problem Solving
Solving Inequalities
Solving Applications with Inequalities
3. Introduction to Graphing
Reading Graphs, Plotting Points, and Scaling Graphs
Graphing Linear Equations
Graphing and Intercepts
Rates
Slope
Slope-Intercept Form
Point-Slope Form
4. Polynomials
Exponents and Their Properties
Negative Exponents and Scientific Notation
Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Special Products
Polynomials in Several Variables
Division of Polynomials
5. Polynomials and Factoring
Introduction to Factoring
Factoring Trinomials of the Type x2 + bx + c
Factoring Trinomials of the Type ax2 + bx + c
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring Sums or Differences of Cubes
Factoring: A General Strategy
Solving Quadratic Equations by Factoring
Solving Applications
6. Rational Expressions and Equations
Rational Expressions
Multiplication and Division
Addition, Subtraction, and Least Common Denominators
Addition and Subtraction with Unlike Denominators
Complex Rational Expressions
Solving Rational Equations
Applications Using Rational Equations and Proportions
7. Functions and Graphs
Introduction to Functions
Domain and Range
Graphs of Functions (including brief review of graphing)
The Algebra of Functions
Formulas, Applications, and Variation
8. Systems of Equations and Problem Solving
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Solving Applications: Systems of Three Equations
Elimination Using Matrices
Determinants and Cramer's Rule
Business and Economics Applications
9. Inequalities and Problem Solving
Inequalities and Domain
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Applications Using Linear Programming
10. Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
The Distance and Midpoint Formulas and Other Applications
The Complex Numbers
11. Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Studying Solutions of Quadratic Equations
Applications Involving Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graphs
More about Graphing Quadratic Functions
Problem Solving and Quadratic Functions
Polynomial and Rational Inequalities
12. Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithmic Functions
Common and Natural Logarithms
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
13. Conic Sections
Conic Sections: Parabolas and Circles
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Nonlinear Systems of Equations
14. Sequences, Series, and the Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
R. Elementary Algebra Review
Introduction to Algebraic Expressions
Equations, Inequalities, and Problem Solving
Introduction to Graphing
Polynomials
Polynomials and Factoring
Rational Expressions and Equation
Appendixes
A Mean, Median and Mode
B Sets
C Synthetic Division
Tables
1 Fraction and Decimal Equivalents
2 Squares and Square Roots with Approximations to Three Decimal Places
Answers A-1 Additional Instructor's Answers IA-1
Glossary G-1
Index I-1
Index of Applications I-10