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Contents
Basic Concepts
1.1 Study Skills for Success in Mathematics, and Using a Calculator
1.2 Sets and Other Basic Concepts
1.3 Properties of and Operations with Real Numbers
1.4 Order of Operations
Mid-Chapter Test: Sections 1.1—1.4
1.5 Exponents
1.6 Scientific Notation
Equations and Inequalities
2.1 Solving Linear Equations
2.2 Problem Solving and Using Formulas
2.3 Applications of Algebra
Mid-Chapter Test: Sections 2.1—2.3
2.4 Additional Application Problems
2.5 Solving Linear Inequalities
2.6 Solving Equations and Inequalities Containing Absolute Values
Graphs and Functions
3.1 Graphs
3.2 Functions
3.3 Linear Functions: Graphs and Applications
3.4 The Slope-Intercept Form of a Linear Equation
Mid-Chapter Test: Sections 3.1—3.4
3.5 The Point-Slope Form of a Linear Equation
3.6 The Algebra of Functions
3.7 Graphing Linear Inequalities
Systems of Equations and Inequalities
4.1 Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Systems of Linear Equations: Applications and Problem Solving
Mid-Chapter Test: Sections 4.1—4.3
4.4 Solving Systems of Equations Using Matrices
4.5 Solving Systems of Equations Using Determinants and Cramer's Rule
4.6 Solving Systems of Linear Inequalities
Polynomials and Polynomial Functions
5.1 Addition and Subtraction of Polynomials
5.2 Multiplication of Polynomials
5.3 Division of Polynomials and Synthetic Division
5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping
Mid-Chapter Test: Sections 5.1—5.4
5.5 Factoring Trinomials
5.6 Special Factoring Formulas
5.7 A General Review of Factoring
5.8 Polynomial Equations
Rational Expressions and Equations
6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions
6.2 Addition and Subtraction of Rational Expressions
6.3 Complex Fractions
6.4 Solving Rational Equations
Mid-Chapter Test: Sections 6.1—6.4
6.5 Rational Equations: Applications and Problem Solving
6.6 Variation
Roots, Radicals, and Complex Numbers
7.1 Roots and Radicals
7.2 Rational Exponents
7.3 Simplifying Radicals
7.4 Adding, Subtracting, and Multiplying Radicals
Mid-Chapter Test: Sections 7.1—7.4
7.5 Dividing Radicals
7.6 Solving Radical Equations
7.7 Complex Numbers
Quadratic Functions
8.1 Solving Quadratic Equations by Completing the Square
8.2 Solving Quadratic Equations by the Quadratic Formula
8.3 Quadratic Equations: Applications and Problem Solving
Mid-Chapter Test: Sections 8.1—8.3
8.4 Writing Equations in Quadratic Form
8.5 Graphing Quadratic Functions
8.6 Quadratic and Other Inequalities in One Variable
Exponential and Logarithmic Functions
9.1 Composite and Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
Mid-Chapter Test: Sections 9.1—9.4
9.5 Common Logarithms
9.6 Exponential and Logarithmic Equations
9.7 Natural Exponential and Natural Logarithmic Functions
Conic Sections
10.1 The Parabola and the Circle
10.2 The Ellipse
Mid-Chapter Test: Sections 10.1—10.2
10.3 The Hyperbola
10.4 Nonlinear Systems of Equations and Their Applications
Sequences, Series, and the Binomial Theorem
11.1 Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
Mid-Chapter Test: Sections 11.1—11.3
11.4 The Binomial Theorem
Appendix: Geometric Formulas
