Introductory Algebra
Workbook edition
Table of Contents
Downloadable formats: PDF | Word
- 0 Prealgebra Review
- 0.1 Factors and Simplifying Fractions
- 0.2 Operations with Fractions
- 0.3 Decimal Notation
- 0.4 Operations with Decimals
- 0.5 Percents, Decimals, and Fractions
- 0.6 Exponents and Order of Operations
- 1 Real Numbers and Algebraic Expressions
- 1.1 Notation, Symbols and Order of Operations
- 1.2 Real Numbers
- 1.3 Addition of Real Numbers
- 1.4 Subtraction of Real Numbers
- 1.5 Properties of Real Numbers
- 1.6 Multiplication of Real Numbers
- 1.7 Division of Real Numbers
- 1.8 Addition and Subtraction of Rational Numbers
- 1.9 Simplifying Expressions
- 2 Linear Equations and Inequalities
- 2.1 Addition Property of Equality
- 2.2 Multiplication Property of Equality
- 2.3 Solving Linear Equations
- 2.4 Formulas
- 2.5 Applications: Number, Age, Perimeter, Coin Problems
- 2.6 Applications: Integer, Interest, Triangle, Miscellaneous Problems
- 2.7 Linear Inequalities in One Variable
- 3 Graphing Linear Equations and Inequalities
- 3.1 The Cartesian Coordinate System
- 3.2 Solutions and Graphs of Linear Equations
- 3.3 Graphing Linear Equations Using Intercepts
- 3.4 Graphing Linear Equations Using Slope
- 3.5 Finding the Equation of a Line
- 3.6 Graphing Linear Inequalities
- 4 Exponents and Polynomials
- 4.1 Multiplication with Exponents and Scientific Notation
- 4.2 Division with Exponents and Negative Exponents
- 4.3 Operations with Monomials
- 4.4 Addition and Subtraction of Polynomials
- 4.5 Multiplication of Polynomials
- 4.6 Special Products
- 4.7 Dividing a Polynomial by a Monomial
- 4.8 Dividing a Polynomial by a Polynomial
- 5 Factoring Polynomials
- 5.1 The Greatest Common Factor and Factoring by Grouping
- 5.2 Factoring Trinomials of the form x2 + bx + c
- 5.3 Factoring Trinomials of the form ax2 + bx + c
- 5.4 The Difference of Two Squares and Perfect Square Trinomials
- 5.5 The Sum and Difference of Two Cubes
- 5.6 Factoring: A General Review
- 5.7 Solving Quadratic Equation by Factoring
- 5.8 Applications of Quadratic Equations
- 6 Rational Expressions and Equations
- 6.1 Simplifying Rational Expressions
- 6.2 Multiplication and Division of Rational Expressions
- 6.3 Addition and Subtraction of Rational Expressions
- 6.4 Equations Involving Rational Expressions
- 6.5 Applications of Rational Equations
- 6.6 Complex Fractions
- 6.7 Proportions
- 6.8 Direct and Inverse Variation
- 7 Systems of Equations
- 7.1 Solving Linear Systems by Graphing
- 7.2 The Substitution Method
- 7.3 The Elimination Method
- 7.4 Applications of Systems of Equations
- 8 Radical Expressions and Equations
- 8.1 Radical Expressions
- 8.2 Simplifying Radicals
- 8.3 Addition and Subtraction of Radicals
- 8.4 Multiplication and Division of Radicals
- 8.5 Radical Equations and Graphs
- 9 Quadratic Equations and Functions
- 9.1 Factoring and the Square Root Property
- 9.2 Completing the Square
- 9.3 The Quadratic Formula
- 9.4 Graphing Quadratic Equations
- 9.5 Introduction to Functions
- 9.6 Function Notation
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