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Elementary Algebra Syllabus

Textbook: Elementary Algebra (Sixth Edition), by Bittinger and Ellenbogen

Prerequisites: None

Calculators: None

Topics and sections to be covered:
1.1 Introduction to Algebra
1.2 The Commutative, Associative, and Distributive Laws
1.3 Fraction Notation
1.4 Positive and Negative Numbers
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponential Notation and Order of Operations

2.1 Solving Equations
2.2 Using the Principles Together
2.3 Formulas
2.4 Applications with Percent
2.5 Problem Solving
2.6 Solving Inequalities
2.7 Solving Applications with Inequalities

3.1 Reading Graphs, Plotting Points, and Estimating Values
3.2 Graphing Linear Equations
3.3 Graphing and Intercepts
3.4 Rates
3.5 Slope
3.6 Slope-Intercept Form
3.7 Point-Slope Form

4.1 Exponents and Their Properties
4.2 Polynomials
4.3 Addition and Subtraction of Polynomials
4.4 Multiplication of Polynomials
4.5 Special Products (optional)
4.6 Polynomials in Several Variables
4.7 Division of Polynomials
4.8 Negative Exponents and Scientific Notation

5.1 Introduction to Factoring
5.2 Factoring Trinomials of the Type x^2+bx+c
5.3 Factoring Trinomials of the Type ax^2+bx+c
5.4 Factoring Perfect Square Trinomials and Differences of Squares
5.5 Factoring: A General Strategy
5.6 Solving Quadratic Equations by Factoring
5.7 Solving Applications

6.1 Rational Expressions
6.2 Multiplication and Division
6.3 Addition, Subtraction, and Least Common Denominators
6.4 Addition and Subtraction with Unlike Denominators
6.5 Complex Rational Expressions (optional)
6.6 Solving Rational Equations
6.7 Applications Using Rational Equations and Proportions

7.1 Systems of Equations and Graphing
7.2 Systems of Equations and Substitution
7.3 Systems of Equations and Elimination
7.4 More Applications Using Systems
7.5 Linear Inequalities in Two Variables
7.6 Systems of Linear Inequalities
7.7 Direct and Inverse Variation

8.1 Introduction to Square Roots and Radical Expressions
8.2 Multiplying and Simplifying Radical Expressions
8.3 Quotients Involving Square Roots
8.4 More Operations with Radicals
8.5 Radical Equations
8.6 Applications Using Right Triangles
8.7 Higher Roots and Rational Exponents (optional)

9.1 Solving Quadratic Equations: The Principle of Square Roots
9.2 Solving Quadratic Equations: Completing the Square (optional)
9.3 The Quadratic Formula and Applications
9.4 Formulas and Equations
9.5 Complex Numbers as Solutions of Quadratic Equations (optional)
9.6 Graphs of Quadratic Equations
9.7 Functions (optional)