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INSTANT DOWNLOAD of Elementary Algebra by Tom Carson, San Diego Mesa College
Ellyn Gillespie, Midlands Technical College
Table of Contents
1. Foundations of Algebra.
Number Sets and the Structure of Algebra.
Fractions.
Adding and Subtracting Real Numbers; Properties of Real Numbers.
Multiplying and Dividing Real Numbers; Properties of Real Numbers.
Exponents, Roots, and Order of Operations.
Translating Word Phrases to Expressions.
Evaluating and Rewriting Expressions.
2. Solving Linear Equations and Inequalities.
Equations, Formulas, and the Problem Solving Process.
The Addition Principle.
The Multiplication Principle.
Applying the Principles to Formulas.
Translating Word Sentences to Equations.
Solving Linear Inequalities.
3. Problem Solving.
Ratios and Proportions.
Percents.
Problems with Two or More Unknowns.
Rates.
Investment and Mixture.
4. Graphing Linear Equations and Inequalities.
The Rectangular Coordinate System.
Graphing Linear Equations.
Graphing Using Intercepts.
Slope-Intercept Form.
Point-Slope Form.
Graphing Linear Inequalities.
Introduction to Functions and Function Notation.
5. Polynomials.
Exponents and Scientific Notation.
Introduction to Polynomials.
Adding and Subtracting Polynomials.
Exponent Rules and Multiplying Monomials.
Multiplying Polynomials; Special Products.
Exponent Rules and Dividing Polynomials.
6. Factoring Polynomials.
Greatest Common Factor and Factoring by Grouping.
Factoring Trinomials of the Form ax² + bx + c when a = 1.
Factoring Trinomials of the Form ax² + bx + c when a 1.
Factoring Special Products.
Strategies for Factoring.
Solving Quadratic Equations by Factoring.
Graphing of Quadratic Equations and Functions.
7. Rational Expressions and Equations.
Simplifying Rational Expressions.
Multiplying and Dividing Rational Expressions.
Adding and Subtracting Rational Expressions with the Same Denominator.
Adding and Subtracting Rational Expressions with Different Denominators.
Complex Rational Expressions.
Solving Equations Containing Rational Expressions.
Further Applications with Rational Expressions (Variation).
8. Systems of Equations.
Solving Systems of Linear Equations Graphically.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
More Applications with Systems of Equations.
Solving Systems of Linear Inequalities.
9. Roots and Radicals.
Square Roots and Radical Expressions.
Multiplying and Simplifying Square Roots.
Dividing and Simplifying Square Roots.
Adding and Subtracting Square Roots.
Solving Radical Equations.
Higher Roots and Rational Exponents.
10. Quadratic Equations.
The Principle of Square Roots.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations using the Quadratic Formula.
Complex Numbers.
Graphing Quadratic Equations.
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Ellyn Gillespie, Midlands Technical College , Tom Carson, San Diego Mesa College
Ellyn Gillespie, Midlands Technical College
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