Elementary Algebra
This is the Elementary Algebra textbook used by the Department of Mathematics in their Elementary Algebra course at College of the Redwoods, Eureka, California.
License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
Formats:
- PDF. A Portable Document Format (PDF) file is can be opened using the free Acrobat Reader. It is not an editable format.
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Openness Comments: The authors do not provide copies of the editable source files for this text, so while it is easy to use as-is, it is very difficulty to modify or remix.
- 1 The Arithmetic of Numbers
- 1.1 An Introduction to the Integers
- 1.2 Order of Operations
- 1.3 The Rational Numbers
- 1.4 Decimal Notation
- 1.5 Algebraic Expressions
- 2 Solving Linear Equations and Inequalities
- 2.1 Solving Equations: One Step
- 2.2 Solving Equations: Multiple Steps
- 2.3 Clearing Fractions and Decimals
- 2.4 Formulae
- 2.5 Applications
- 2.6 Inequalities
- 3 Introduction to Graphing
- 3.1 Graphing Equations by Hand
- 3.2 The Graphing Calculator
- 3.3 Rates and Slope
- 3.4 Slope-Intercept Form of a Line
- 3.5 Point-Slope Form of a Line
- 3.6 Standard Form of a Line
- 4 Systems of Linear Equations
- 4.1 Solving Systems by Graphing
- 4.2 Solving Systems by Substitution
- 4.3 Solving Systems by Elimination
- 4.4 Applications of Linear Systems
- 5 Polynomial Functions
- 5.1 Functions
- 5.2 Polynomials
- 5.3 Applications of Polynomials
- 5.4 Adding and Subtracting Polynomials
- 5.5 Laws of Exponents
- 5.6 Multiplying Polynomials
- 5.7 Special Products
- 6 Factoring
- 6.1 The Greatest Common Factor
- 6.2 Solving Nonlinear Equations
- 6.3 Factoring ax2 + bx + c when a = 1
- 6.4 Factoring ax2 + bx + c when a = 1
- 6.5 Factoring Special Forms
- 6.6 Factoring Strategy
- 6.7 Applications of Factoring
- 7 Rational Expressions
- 7.1 Negative Exponents
- 7.2 Scientific Notation
- 7.3 Simplifying Rational Expressions
- 7.4 Solving Rational Equations
- 7.5 Direct and Inverse Variation
- 8 Quadratic Functions
- 8.1 Introduction to Radical Notation
- 8.2 Simplifying Radical Expressions
- 8.3 Completing the Square
- 8.4 The Quadratic Formula
Supplements:
- Student Solutions Manual. Worked out solutions for selected exercises